diff --git "a/data/dm_maths/full_data_1/1713_11255.jsonl" "b/data/dm_maths/full_data_1/1713_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data_1/1713_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: Let c(r) = 3*r**2 - 3*r + 17. List the prime factors of c(-7).\nAnswer: 5, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 78 and 8?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -126870, -253808, -380746, -507684?\n\"Answer: -126938*g + 68","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 118436917 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = 72*p**2 - p + 1. Let v(i) = -i. What is v(w(q))?\nAnswer: -72*q**2 + q - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f and 1 p when two letters picked without replacement from iiiffififipifif?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 3.8 (b) 5 (c) -1158 (d) -1\/7 (e) 2\/7 (f) 8\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*b - 12 = 36. Suppose -3 = -4*o - 3*h + 2, -5*h = 25. Solve -s - b = -o*s for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = 15*z - 10. Let g(h) = -29*h + 19. Let c(j) = 3*g(j) + 5*r(j). Let b = -3 - 1. Let v be c(b). What is the greatest common divisor of 22 and v?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b + 4*t + 164 = 0, -b + 4*t + 17 = -19. Let y = 6 - 16. Let v be 3 + 0 + b\/y. Is v bigger than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -4.02 - -4. Let g = h + 0.52. Let k = -0.251 - -0.151. Which is the closest to k? (a) 5 (b) g (c) -1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-1)\/1*0\/(-9). Suppose 0 = -v*f + 5*f - 25. Solve -3*c - f = 2*c for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3*-3*4\/12?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -2 - -17 - 28\/7. Suppose -3*m = -3*z - 24, -z - o = -3*m + 7. Let s = 4 - 0. Sort 1, s, z in ascending order.\nAnswer: z, 1, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 2122 - 121?\nAnswer: 2001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 4710?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 69\/3608 and 59\/328.\nAnswer: 3608","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 64 (base 15) to base 12\nAnswer: 7a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jzp when three letters picked without replacement from {z: 5, p: 5, n: 1, j: 1}.\nAnswer: 5\/264","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 687219.3 meters to micrometers.\nAnswer: 687219300000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-1)\/(3\/(-4))*189\/126. Suppose c*u + 4*n + 29 = 23, -3*n = -2*u + 22. Solve -7*g - 2 = -u*g for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4142436083 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = z**3 + 13*z**2 - 4*z - 308. Let i be g(-11). Sort i, 4, -4, -3, -2 in ascending order.\nAnswer: i, -4, -3, -2, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 5920 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 24.2 <= -3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Add -1356 and 0.073571.\nAnswer: -1355.926429","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3720?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yynj when four letters picked without replacement from jynjjyytyyytt.\nAnswer: 3\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -417 - -275 - (25 + -4 - 10)?\nAnswer: -153","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -12 - -12.7. Let b = 1.1 + h. Let d = 1.4 - b. Sort -1, -5, d.\nAnswer: -5, -1, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -8 + 1 + -3 + 7?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 9410429, 9410431, 9410433, 9410435?\n\"Answer: 2*j + 9410427","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*z**2\/4 - 501*z\/2 + 20856.\nAnswer: 3*(z - 176)*(z - 158)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 9 + -8. Let n = 0.99999961 - k. What is n rounded to seven dps?\nAnswer: -0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -247228371\/16 + 15445546. Let l = n - -6231. Let z = 943\/36 + 11\/36. Calculate the common denominator of l and z.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 57 = -6*y + 21. Is y\/(-2) - (20895 + 1)\/(-4) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 9*n**2 + 735*n + 4 - 735*n + (-5*n - 25*n + 10*n)*((3 + 1 - 5)*(n - n + n) + n - n + 2*n).\nAnswer: -11*n**2 + 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1899 is divided by 173?\nAnswer: 169","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 92969 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 186757776?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + 1 - (104 + -109)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sd when two letters picked without replacement from {s: 1, h: 11, d: 6}?\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = a**3 + 30*a**2 + 296*a + 58. Give r(-11).\nAnswer: -899","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z = 4*t - 0*t + 172, t = -1. Let c = z + -47. Let w be (c\/15)\/((-5)\/(-50)). Sort w, 5, -1 in increasing order.\nAnswer: -1, 5, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 26 (base 9) to base 10\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = 137*s**2 - 2465*s - 15. Let k be y(18). Which is the closest to -2? (a) 0.05 (b) k (c) -5 (d) 11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(156) + sqrt(156) + (sqrt(156) - -2*sqrt(156)))*2 - sqrt(156)*2*-6)\/(sqrt(60)\/sqrt(45) + (sqrt(12) + (sqrt(12) - sqrt(192)) + sqrt(12))*-4).\nAnswer: 66*sqrt(13)\/13","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) be the third derivative of z**6\/120 - z**5\/10 + 5*z**4\/24 + z**3 - 5*z**2. Suppose -4*x - 3*a = -2*x - 22, 0 = -4*x + 5*a. What is p(x)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 - (-4 - -3 - 0)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v + 4*k + 530 = 170, -5*v = k - 878. Let i = v - 115. Find the common denominator of -39\/4 and -1 + i\/10 + 1.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = 180557 - 180557 + 13*q. Let n(l) = 6*l**2 - l. Give n(h(b)).\nAnswer: 1014*b**2 - 13*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m - 15 = 27. What is the tens digit of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -5 - -5. Suppose -4*y + 3 + 1 = q. Suppose -y = 5*g - 96. Is g composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.2, 150, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2 - (-3 - (-6)\/(-1)). Let b be 2\/8 - k\/(-4). Let j(g) = -6*g - 4. Let h(x) = 11*x + 8. Let d(u) = -3*h(u) - 5*j(u). Give d(b).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -184 - -207. Let h(l) = -42*l + y*l - 12 + 28*l - l**2. What is h(9)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o + 1 + 1 = 0. Let m = o + 7. Let u(c) = -c**3 + 17 + 5*c**2 - 16 - 8 + 2*c. Give u(m).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8054 to the power of 1\/2, to the nearest integer?\nAnswer: 90","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 31*b = -2*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 23818620?\nAnswer: 2, 3, 5, 7, 56711","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 254, 499, 746, 995, 1246, 1499, 1754?\n\"Answer: b**2 + 242*b + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 49, -5, -1, -84, 4, -12 in descending order.\nAnswer: 49, 4, 3, -1, -5, -12, -84","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o = -4*f - o + 342, -165 = -2*f + 5*o. Let w(s) = 12*s - 205. Let z be w(12). Let y = z + f. Does 15 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/2 in 7, 2\/13, 691?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is three tenths of a centimeter in micrometers?\nAnswer: 3000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 441849 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 3425 a factor of 875758016?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) be the first derivative of 1\/2*w**2 + 2*w - 17. Determine y(5).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -47 + 37. Let i be -1*8*y\/8. Is i >= 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-4)\/(-10) - 18\/(-30). Which is the closest to -4? (a) -3\/5 (b) o (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40*c + 45*c = 1495. Is c prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*j + 3*h = -20, -j = -0*j + 2*h + 12 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1.06 + -59.94. Let d = a - -61.00097. What is d rounded to four dps?\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -230*t - 64381 = -76801 for t.\nAnswer: 54","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (292\/(-48) + 6)*(-17 - -15). Let a = 42.84 - -0.16. What is the third biggest value in 2\/7, r, a?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -131 + 206. Let g = 138 - l. Calculate the remainder when g is divided by 22.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40*n = -45*n - 15, 0 = -5*z - 5*n + 5. Suppose 2*x - z = 0, -22*h + 17*h + 5*x = -1900. Is h a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18461 - 18461 - 9779*d**2.\nAnswer: -9779*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -o**2 - 2*o - 1. Let g(h) = h - 4 - 8*h - 2*h - 5*h**2. Let y(i) = -9*d(i) + 2*g(i). Differentiate y(s) wrt s.\nAnswer: -2*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = 4*r**2 - r - 1. Suppose -5*o - 2*q + 1 = q, -2*o + 7 = -q. Suppose 0 = -o*d + 1 - 9. Is m(d) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -100 + 1011?\nAnswer: 111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tpww when four letters picked without replacement from {t: 5, p: 1, y: 1, w: 3, h: 3}.\nAnswer: 1\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 52 a factor of 1164?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 425826 to the nearest integer?\nAnswer: 653","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -a**3 + 5*a**2 - 3*a - 1. Let j be p(4). Let o(g) = 6*g - 1 - 3*g - j*g - 7*g. Is 17 a factor of o(-5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.85, -1, -1\/31605?\nAnswer: 0.85","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -7 - (5 - 2) - (0 + 8 + -1)?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/7? (a) -28399 (b) 0.4 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -919\/10 + 92. Sort 3, -0.2, g in increasing order.\nAnswer: -0.2, g, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d and 1 t when two letters picked without replacement from {e: 1, d: 1, t: 1, s: 2, u: 1, h: 1}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:10 PM and 3:45 PM?\nAnswer: 35","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 12841 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (31 - 0) + ((-11 - 26) + 32 - -18)\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 7}. What is prob of sequence nnnn?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j + 7 = -i, -6*i - 21 = -4*j - i. Let u = 751\/477 - 14\/9. Let f = 113\/371 - u. Is f at least as big as j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 17, o: 1}. Give prob of picking 1 z and 1 o.\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -37 + 60. Solve -7*z + 5*w = -3*z - i, -4*z + 11 = -w for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -2\/19, 0.3, 12028, -1?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Add together -4.5 and 1.165.\nAnswer: -3.335","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 290.56*-0.2.\nAnswer: -58.112","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1783812?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 101 a factor of 4325830?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -2*w**2 + 2*w + 3. Let k be n(-1). Let m be (k\/3)\/((-1)\/12). Solve -11 = 3*g + m for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -12.54 or 5.4?\nAnswer: -12.54","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -71\/44 and -27\/20?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = 9 - 12 + h + 2. Let n(b) = -2*b + 4. Determine n(t) + 4*w(t).\nAnswer: 2*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (-86)\/(-301)*(84\/(-10))\/((-122)\/(-305))?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-1)\/(-6))\/((-91)\/(-4)). Let m = p - -18283\/1092. Calculate the common denominator of m and -23\/3.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in m + 3*m + 5728*m**3 - 5*m.\nAnswer: 5728*m**3 - m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -233, 1, 3, 15, -5, -19.\nAnswer: -233, -19, -5, 1, 3, 15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = 4*u**2 + 5*u. Let r(o) = -4*o**2 - 6*o. Give 5*l(y) + 4*r(y).\nAnswer: 4*y**2 + y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -33\/17 (b) -0.1 (c) -1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = 11*v + 90. Let i be n(-8). Suppose 4*x = 2*d - 2*x + 2146, i*d - 4*x + 2150 = 0. What is d rounded to the nearest 10?\nAnswer: -1080","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 divided by -360523?\nAnswer: -1\/360523","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30*w + 32*w + 64 = 0. Let g = w + 36. Solve -2 - 6 = -g*l for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -32.026 - -12.97. What is j rounded to the nearest integer?\nAnswer: -19","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d + 473020 - 122017 = -3*s, -5*s - 5*d = 585015. Let u be (19\/(798\/s))\/(2\/(-8400)). Suppose -7*r = -4*r - u. What is r rounded to the nearest 1000000?\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1.63*-0.016\nAnswer: 0.02608","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f + u = 676, 6*u - u = 3*f - 484. Calculate the greatest common factor of f and 72.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-18)\/(-117) - ((-4)\/(-195) + 0). What is the closest to -1 in -1, b, 1\/6?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5\/(-20)*-8)\/(3*-4*4835\/3868).\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 322 minutes before 7:12 PM?\nAnswer: 1:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 599926681 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 47 divide 392831?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -p**3 - 3*p**2 + 2*p + 2. Let k be b(-2). Let c(i) = i**2 - 2*i - 9. Let s be c(k). Let u = 2 + s. Calculate the remainder when u is divided by 14.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2 - -2. Let u(h) = -2*h**3 - h**2 + 3*h + 4. What is the remainder when u(-3) is divided by 58\/4 + (-2)\/b?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*o + 32 + 13. Let s(r) = -r**3 - 9*r**2 - 2*r + 2. Let q be s(o). Solve -4*k + q = -9*k for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*f + 114 - 16. Let t(p) = -2*p + 37. Determine t(f).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 11881820 and 380?\nAnswer: 225754580","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = 1914*d - 5879. What is n(3)?\nAnswer: -137","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1066370*o**3*t - 4*o**3 - 2*o**2*t + 67*o*t + 3*o + 2*t + 33 wrt o?\nAnswer: 6398220*t - 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(1\/21)\/(l*l*l*l*((l\/((l**6*l)\/l))\/l)\/l*l)*(l*l**(-5\/6))**32)**25 assuming l is positive.\nAnswer: l**(3875\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2.6 in -3, -1, -5, 4?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is -15\/290561 > -3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + 1 + (sqrt(280) - (3*(sqrt(280) - -6*sqrt(280)) - sqrt(280) - sqrt(280)))\/(sqrt(10) + sqrt(4840) - sqrt(10)).\nAnswer: -18*sqrt(7)\/11 + 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -28*p = -88*p - 62*p - 4277 - 1457 for p.\nAnswer: -47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.2 + 0.8. Let o = 0.06 - 0.06. Let w = o - y. What is the closest to -0.1 in 4, w, 5?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-144)\/(-30))\/((-3)\/(-10)). Let w(h) = 0*h + 0*h + h + t. List the prime factors of w(0).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10361596 is divided by 27.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 235 - 321 - (-45 + 3).\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -4 - -6. Suppose 5*j = c*j. List the prime factors of 0 - j - (-10 + -1).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(13) - (sqrt(13) + (sqrt(1300) - (1*sqrt(1300))**2))) + sqrt(104)\/sqrt(2) - (4 + sqrt(208) + -5)**2.\nAnswer: 1091","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -24*f - 4. Let k(r) = 8*r + 1. Suppose -4*h + 8 = -24. Let q(d) = h*k(d) + 3*a(d). What is the tens digit of q(-3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.9882525 grams in nanograms?\nAnswer: 988252500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 44?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + sqrt(28)\/sqrt(4) + 1)**2.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: ((-7)\/(42\/4))\/(10\/75)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -6*s. Let u(r) be the first derivative of r**3\/3 - 7. Give d(u(o)).\nAnswer: -6*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = u**2 + 35147. Is f(0) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 29 = -35*v + 6*v for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 1d (base 16) to base 10\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n + 4*a = 0, 17 = n - 4*n + a. Let m be (2 + (5 - 5))*34\/n. Let o = m + 22. Solve 2*k = -3*l + 11, 5*k = -2*l - l + o for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14926290 at most as big as 14926287?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is (1 + 34896)\/(76\/76) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = 2379*c**2 + 4*c - 10. Let x be n(4). Suppose 5*s + x = 5895. Is 2\/(-11) - s\/121 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*p**4\/11 + 654*p**3\/11 + 34570*p**2\/11 + 30018*p\/11 - 203580\/11 = 0. What is p?\nAnswer: -261, -65, -3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -54 + 106 = -26*z for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 18\/(-4)*12\/(-18). Let n(v) = 5*v**2 + 3*v + 8. Let r(k) = -2*k - 1 + 4*k**2 - k + 6*k + 8. Let y(a) = -5*n(a) + 6*r(a). What is y(z)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 101 (base 3) to base 12.\nAnswer: a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 6\/(-9) - 15850715\/(-255) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: -207 + 205 + -7 + 0 + 23\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q = -24 - 26. Let n be ((3 - 2)*q*1)\/1. Is (-1056)\/(-5) - ((-6)\/n)\/(-3) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 3998855?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange g - 7*g**2 + 10*g**2 + 4*g**2 + 436 - 9*g**2 + 62 to the form s*g**2 + x*g + h and give x.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 - (4 + (-10 - -3)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -7*j + 7. Let o = -13 + 8. Let a(b) = -6*b + 6. Give o*q(i) + 6*a(i).\nAnswer: -i + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 76?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -10 - 9*r - 9*r - 2*r + 29*r. Let c be m(6). Calculate the greatest common divisor of c and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31 - 41 = -2*q - 4*c, 5*q - 25 = 2*c. Suppose 473 = 16*u - q*u. Is u at least as big as 48?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -113652 (base 13) to base 9\nAnswer: -681016","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 8, 18, 30, 44?\nAnswer: 60","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 38024 is divided by 7485.\nAnswer: 599","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 2366286 to the power of 1\/2, to the nearest integer?\nAnswer: 1538","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 8 + -8. Let g = 0 - -2. Suppose 2*f - g + 6 = 0. Does k = f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 29\/5 of a millennium in centuries?\nAnswer: 58","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -224 + 440 + 3235*t - 216 as j*t + d and give j.\nAnswer: 3235","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m = 2*m + 38. Let p be (-3)\/m*(-17 + 7). Let r = 132\/95 + p. Which is smaller: 0 or r?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 5119, 5137, 5157, 5179, 5203?\n\"Answer: f**2 + 15*f + 5103","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*1*(sqrt(1573) - -3*(sqrt(1573) + sqrt(1573) + -3)))**2.\nAnswer: -5544*sqrt(13) + 308632","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-23359)\/517 - -45)\/(3\/(-11) + 0). Let n(i) be the first derivative of -35 + 3\/4*i**6 + 0*i - 1\/4*i**4 - 6\/5*i**5 + y*i**3 + 1\/4*i**2. Factor n(r).\nAnswer: r*(r - 1)**2*(3*r + 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*j - 5136 = 178520. Is j composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15480 a multiple of 129?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 374 and 88?\nAnswer: 1496","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 1\/7, -0.24, 2\/7, -4\/5 in increasing order.\nAnswer: -5, -4\/5, -0.24, 1\/7, 2\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 80 and 160?\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-6)\/21)\/(20\/(-28)))\/(890\/(-178)).\nAnswer: -2\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 253 - 247. Suppose -27 = -l*i + 3. Solve -29 = -6*c - i for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 63 - 42. Let o(s) = -q*s + 6*s + 5*s + 8*s. Let j(p) be the second derivative of -3*p**4\/4 - p. What is j(o(w))?\nAnswer: -36*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) be the first derivative of 835*o**5 + 1695*o + 3729. What is the derivative of n(a) wrt a?\nAnswer: 16700*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.2 + 0.2. Let t = -1506413\/116 + 12986. Let c = t - -2\/29. Which is bigger: c or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = 3*u**3 + 7*u**2 + u - 2. Let f(l) = -7 + 18*l + 16*l**3 - 15*l**2 - 12*l + 50*l**2 - 6 + 2. What is 2*f(m) - 11*p(m)?\nAnswer: -m**3 - 7*m**2 + m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:45 AM and 6:41 AM?\nAnswer: 176","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 153 + -133. What is the smallest value in -2\/5, k, -4\/3, 2\/5?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*r + 59 = -61. Let m be (-33)\/(-15) + -5 + (-96)\/r. What is the nearest to m in 0.3, -3, -1?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5*(-6)\/30 - -7330.\nAnswer: 3, 7, 349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -15436 divided by 17.\nAnswer: -908","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-24)\/192)\/(1\/1).\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((4\/15)\/2)\/((-9)\/30)?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 589028899 a multiple of 361?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 294*x = 5*s + 289*x - 20, -s + 13 = -2*x for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-54)\/(-90)*(-1 + 6). Let s(f) = 13*f**2 - 7*f + 3. Is s(m) a multiple of 26?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*x - x + 4*m - 18, -24 = -4*x - 2*m for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1880 - 5*n + 1880.\nAnswer: -5*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 77 is divided by 19.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = 5*o**2 + 58*o - 65. Is m(-62) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3, -20, -35, -48?\nAnswer: -59","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-4)\/36)\/((-2)\/6). Suppose -u - u + 6 = 0. Which is the second smallest value? (a) s (b) u (c) 2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o = 4*c - 1269, -10 = -o - 15. What is the greatest common divisor of c and 12?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3)\/(1*-30) + (-105)\/(-1950)?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -72*z**2 + 167*z + 828. What is u(-6)?\nAnswer: -2766","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*t + 10 = -151*b + 156*b, -4*b + t + 3 = 0 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -4388? (a) 3 (b) -0.6 (c) 34 (d) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1\/5 (b) 2 (c) 0.153\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 8053 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 3, p: 5, x: 5, d: 4, u: 1}. Give prob of picking 1 u and 3 d.\nAnswer: 1\/765","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -131.979777 rounded to 1 dp?\nAnswer: -132","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (9 - 5)\/(4\/2). Solve 3*c + n*w = 3*w + 7, 2*c - 5*w = 22 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 1639216 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 16 + -10. Suppose -m + c*m = 0. Suppose -5*h = -m - 5. Solve -h = -4*d - l, 0*l + l - 1 = d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -69*g = -70*g + 6, 4*g = -3*r + 12 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l = y + 3*l + 23, 4*y = -4*l - 32. Let s(h) = -1. Let i(v) = v - 5. Let q(t) = -i(t) + 4*s(t). Calculate q(y).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4030 + 805 = 5200*q - 5275*q for q.\nAnswer: 43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 6046745239 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from eyeereyeeslrrelyy. What is prob of picking 2 r and 1 s?\nAnswer: 3\/680","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 16 and 4028.\nAnswer: 16112","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: ((-6)\/4)\/(75\/20)\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put -68, 2, -1355 in increasing order.\nAnswer: -1355, -68, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -4.9473 + -2.1?\nAnswer: -7.0473","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xrtoctd. Give prob of sequence ocrt.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 3\/3*8\/48. Put 0.12, o, 0.3 in descending order.\nAnswer: 0.3, o, 0.12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6 = 4*s + 2*r, -5*s - 10 = -12*r + 14*r for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 21 + -6. Let q = -9 + x. Suppose -7*i + 3*u + 25 = -2*i, 15 = 3*i - 4*u. Sort 4, i, q in increasing order.\nAnswer: 4, i, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((b\/b**(-18))\/b)\/((b*b**(1\/2)*b)\/b*b*b*b))\/(b**(-2\/31)*b*b**(-13)\/b) assuming b is positive.\nAnswer: b**(1647\/62)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.9521 minus -0.02?\nAnswer: -1.9321","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g + 3*z = -12, 0 = -g + 3*z + 15 - 21. Suppose g*n = 2*m + 5*n - 353, 174 = m + 2*n. Does 8 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 1, 5, 2, 28 in ascending order.\nAnswer: -4, 1, 2, 5, 28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-1)\/3)\/((-3)\/27). Let j(m) = -20*m - 1. Let b be j(-1). Let c = 27 - b. Solve -n - 2*v + c = -h, -9 = -4*n - v for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -4*k, 0*k = 5*m + 3*k - 53. Suppose 5*r - 22 = -5*u + 18, -5*u = -4*r - 40. Suppose 3*v - u = v. What is the remainder when m is divided by v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 6, s: 3, c: 2, z: 1, n: 6, q: 2}. What is prob of picking 1 z and 2 q?\nAnswer: 1\/1140","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6555691*h + h**4 + 42*h**2 + 143*h**2 - 6555689*h - 3*h**3 + 3 to the form z*h**4 + p*h**2 + i + y*h**3 + d*h and give d.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4\/21? (a) -4 (b) -4\/3 (c) 2\/11 (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i = -5*o + 4, 5*i - 15 = -4*o + 3. What is the first derivative of -1 + 26*c**i - 16*c**2 + 4 + 0 wrt c?\nAnswer: 20*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.3 and -123?\nAnswer: 122.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = 2*q**2 + 3*q**2 + 3 - 4*q**2 + 6*q. Let a = 1941 + -1948. What is b(a)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -867, -2, -3, 50, 1, 247 in decreasing order.\nAnswer: 247, 50, 1, -2, -3, -867","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence db when two letters picked without replacement from jbjvjeevdbvdevavvdv.\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 2153 a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0 + -3. Let s(u) be the first derivative of -u**3\/3 + u**2\/2 - u + 2. Let x(l) = l**3 - l**2 + 2*l - 8. Let v(r) = 4*s(r) - x(r). What is v(d)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ssts when four letters picked without replacement from {t: 6, s: 9, u: 2}?\nAnswer: 9\/170","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -48*o + 204. Let b be m(4). What is the greatest common factor of b and 246?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = 72*c**2 - 69*c + 374. Let i be k(23). What is the highest common divisor of i and 295?\nAnswer: 295","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -487*i - 9842 - 11586 for i.\nAnswer: -44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kkkqkqkqrrkqqkqqqk. What is prob of sequence rkq?\nAnswer: 4\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 729.04 + -729. Sort w, 2, -2, -1 in ascending order.\nAnswer: -2, -1, w, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-15)\/(-20))\/((-2)\/(-160)). What is the greatest common divisor of 160 and h?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22906421 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 225654 less than 1364.79?\nAnswer: -224289.21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*q + 5*o - 18 - 22, 4*o - 10 = -2*q. Which is smaller: q or -7?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11517005 divided by 5?\nAnswer: -2303401","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*h**3 + 36*h**2 + 81*h - 120.\nAnswer: 3*(h - 1)*(h + 5)*(h + 8)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -241033203 + 14?\nAnswer: -241033145","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -5791 take away 10?\nAnswer: -5801","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -3323322 (base 4) in base 16?\nAnswer: -3efa","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -180 + 192. What is the least common multiple of 1018 and q?\nAnswer: 6108","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 914560 to the power of 1\/2, to the nearest integer?\nAnswer: 956","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) be the third derivative of 1\/12*t**4 - 11*t**2 + 0 + 0*t + 9\/2*t**3. Let z be a(-12). Let v(r) = -2*r - 2. Determine v(z).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 11 (base 4) to base 10\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-5)\/(-4)*9\/270. Let j(l) be the third derivative of 0*l + 1\/60*l**5 + 0 - h*l**4 + 0*l**3 + 2*l**2. Find the second derivative of j(s) wrt s.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = h**3 + 21*h**2 + 40*h + 29. Determine w(-19).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*k**3*r - 7001336*k**3*u + 3*k**2*r + 52*k**2 - 201*r*u wrt k?\nAnswer: -12*r - 42008016*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -496*b + 87642 = -490*b. What is the hundreds digit of b?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -247*c + 7*c + 28*c - 476*c = 33024 for c.\nAnswer: -48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = 3*t**3 + 20*t**2 + 2*t + 8. Let b = -27 + 44. Let c(k) = k**3 + 7*k**2 + k + 3. Let x(j) = b*c(j) - 6*i(j). Let w be (-4 - 0)\/(-8)*-6. Give x(w).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1473 is divided by 479.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f*f*f\/(f*f**(-3\/5))*f**(5\/2))\/(f**(1\/6)\/f**(-3\/10)) assuming f is positive.\nAnswer: f**(139\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -10*c - 2. Suppose 3*u + 20 = -5*t, 5*t + 4*u + 20 = 3*u. Does 15 divide q(t)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k = k - 12. Suppose k - 10 = -4*g. Let r(q) = 0*q + g*q - 4 + 4. Let u(o) = -7*o. Determine u(r(m)).\nAnswer: -14*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -227 (base 16) to base 15\nAnswer: -26b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3\/(-2)*-7*(-16)\/84.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-4)\/(-6)*(3 + 30). Calculate the greatest common divisor of c and 33.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 655306 (base 7) in base 16?\nAnswer: 1c01b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = 2*y**2 - 3*y + 2. Let k(v) = 9*v**2 + 948*v + 8. What is 4*b(s) - k(s)?\nAnswer: -s**2 - 960*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -505 or -568?\nAnswer: -568","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 714.\nAnswer: 2, 3, 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 532 minutes before 2:22 PM?\nAnswer: 5:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put 7, 1, 28\/319, -4, 1\/3, 1\/7 in decreasing order.\nAnswer: 7, 1, 1\/3, 1\/7, 28\/319, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 47\/164362 and 85\/42416.\nAnswer: 1314896","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 9a92 (base 13) to base 4\nAnswer: 11101032","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -21*x + 25*x - 4 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c - 5 = -0*c. Suppose 2*w - 5*r = 11, 10 = 5*w - 0*r + 5*r. What is the second derivative of 3*q**2 + w*q - 1 + 0 + c wrt q?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of ((-204)\/17 + 103)\/(2\/4)?\nAnswer: 2, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o = 4*q - 8, 0 = 103*q - 101*q - 5*o - 4. Let h be 10*-1*4\/(-2). Solve -18*p - q = -h*p for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1381.31 to the nearest ten.\nAnswer: 1380","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 20 and 1888?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 4083503293 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:40 PM and 4:21 PM?\nAnswer: 101","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or 365\/9447?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -6885770*f**2 + 2792687 wrt f.\nAnswer: -13771540*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zckgcqkw. What is prob of picking 1 g and 1 z?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2528000 and 2370.\nAnswer: 7584000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -232983, -465970, -698959, -931950, -1164943?\n\"Answer: -x**2 - 232984*x + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -24 + 364. List the prime factors of c.\nAnswer: 2, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-1282)\/8)\/(2\/(-8)). Suppose 1214 = 5*g - r. Is g composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1140\/(-456)*9*(-2)\/(-75).\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j + 48 = -5*j. Let a(g) = 3*g - 21. Let f be a(6). Let t(z) = z**2. Let p(l) = 4*l**2 + 7*l + 5. Let r(y) = f*t(y) + p(y). What is r(j)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 63336 and 0.4.\nAnswer: 63336.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -81 - -51. Let c be -3 - (b\/(-5))\/(-2). Solve c = -4*n + 4 - 8 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 15903000 to the nearest 100000.\nAnswer: 15900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 - (0 - 0) - (-16 + 12)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3\/(-27) + (-74)\/(-4)*(-3 + 18737\/6273).\nAnswer: -6\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -491, -1067, -1729, -2477?\nAnswer: -3311","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Total of 2 and -0.9799.\nAnswer: 1.0201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve k**4\/5 - 555*k**3 - 8355*k**2 - 41825*k - 69750 = 0 for k.\nAnswer: -5, 2790","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 4289, 8581, 12873, 17165, 21457?\n\"Answer: 4292*l - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -19*a - 24*a - 31 - 243*a**2 + 37*a + 107*a**2 + 114*a**2.\nAnswer: -22*a**2 - 6*a - 31","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j**(-17)*j**(3\/11) assuming j is positive.\nAnswer: j**(-184\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 12626519 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = f**3 + 2*f**2 - f + 3. Let a be (2 - (1 - 1))*30\/4. Suppose -4*o - o = 5*r, 4*o = r + a. Let u be 3\/(o\/(-7)) - -4. Give i(u).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16523677 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -14 + 43 + 10 + 5 - 15*w. Does 9 divide j(-10)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 686609974?\nAnswer: 2, 17, 29, 696359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (40 + -37)\/(13 + -4).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-1 + 584)*(33 + 276\/6)?\nAnswer: 11, 53, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 11 - (-11 - (2 + 0 + 2))\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -60 divided by 6?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (51\/12)\/1 - 471\/(-628). Let h(b) = 4*b**2 - 1. Let c(v) = -3*v**2 + v. Let k(z) = 3*c(z) + 2*h(z). Calculate k(i).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (-4*(-3*sqrt(66)*4)\/(sqrt(864) + (sqrt(864) - sqrt(864)*-3))*-2 + -2)**2.\nAnswer: 32*sqrt(11)\/5 + 854\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o**5 + 12*o**4 + 124*o**3 - 12*o**2 - 504*o = 0. Calculate o.\nAnswer: -3, 0, 2, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = 2*j**2 + 2*j + 7. Let c = 155 - 132. What is the remainder when l(6) is divided by c?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -9, 11, -3 in increasing order.\nAnswer: -9, -3, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:14 AM and 2:58 PM?\nAnswer: 404","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 7498, 13090, 16764, 18520, 18358, 16278?\nAnswer: 12280","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 50838279 a multiple of 289?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -5*r**3 + 4*r**2 - 6. Let y(l) = 5*l**3 - 4*l**2 + 5. Suppose -5*t = -5*h - 80, 2*h + 1169*t = 1172*t - 41. What is h*y(b) - 6*g(b)?\nAnswer: -5*b**3 + 4*b**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 243*g**2 + 65*g - 15734 wrt g.\nAnswer: 486*g + 65","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 22525038?\nAnswer: 2, 3, 83, 15077","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -2456, 206.\nAnswer: -2456, 0, 206","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 49\/424 - -1\/106. Let q = s - -3\/8. Let -q*a**2 + 1\/2*a - 1\/2*a**3 + 1\/2 = 0. What is a?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 5, -4\/7, 0, 0.03014, -3\/5, -3?\nAnswer: 0.03014","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -s + 4 - 1 + 0 + 1. Let n be v(4). Solve 0 = -a + 4, n*j + 3*a + 4 = 4*j for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-2 - -4) + (-345)\/130. Let i = -2\/13 - v. Find d such that -i*d + 17\/4*d**3 + 3\/4*d**2 + 0 + 3*d**4 = 0.\nAnswer: -1, -2\/3, 0, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2023295 to the nearest integer?\nAnswer: 126","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -110, -303, -664, -1277, -2226, -3595, -5468, -7929?\nAnswer: -11062","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -231 and 0.3.\nAnswer: -69.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*l = -4*r + 4*l, 0 = 5*r + l + 30 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve d - 1 + 9 = w, -22 = -3*w + 2*d for w.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in 0.4, 0.25933, -4, -3, 5, 37?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) be the first derivative of -k**5\/30 + k**2 + 6. Let w(d) be the second derivative of r(d). Let p(s) = 2*s**2. What is w(p(b))?\nAnswer: -8*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 4, j: 10, b: 6}. What is prob of picking 2 j?\nAnswer: 9\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -140 + 144. What is the nearest to -3 in s, 0.05, 5?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 798\/5 + -159. Which is the biggest value? (a) 5 (b) s (c) -4 (d) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -h. Let u(a) = -a + 9. Let y be u(5). Let j be (-6)\/12*-4 + (-1)\/(-1). Let z(r) = -j*r**2 + 4*r - r**2 - y*r. Give w(z(s)).\nAnswer: 4*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 173 divide 20933?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 32929 and 221?\nAnswer: 221","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find m, given that -22*m**3\/5 + 99538*m**2\/5 - 9048*m = 0.\nAnswer: 0, 5\/11, 4524","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (11*n - 8*n - 10*n)*(5 + 3 - 2)*(n**3 - 3*n + 3*n).\nAnswer: -42*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*((1 + (sqrt(700) - (0 + -1 + sqrt(700))))*4)**2.\nAnswer: 192","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 3\/((-75)\/(-55835)) + 11\/(330\/(-12)). What is the greatest common divisor of f and 847?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6641 a multiple of 43?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 7033 - -167?\nAnswer: 7222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.78 and -0.3.\nAnswer: 0.234","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a day in seconds?\nAnswer: 17280","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 830 - 832. What is the fourth smallest value in 0.0065, 0.3, 1\/2, r?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Convert 137120.0292 microseconds to weeks.\nAnswer: 0.000000226719625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -720 - -a2?\nAnswer: -63a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.4 * -11689.\nAnswer: 4675.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*h**2\/5 + 832*h\/5 + 43264\/5 = 0. Calculate h.\nAnswer: -104","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 105\/49 - 2\/14. Suppose -l*p + 6 = 12. Let b be (-9)\/p + -4*3\/(-6). Solve 14 = b*n - c, 5*n - 2*c + 2 = -5*c for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17 divided by -35?\nAnswer: -17\/35","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 332 is divided by 135?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(-3 + sqrt(1573)) + -1.\nAnswer: -19 + 66*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 0, 13, -9 in ascending order.\nAnswer: -9, -4, 0, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -22, -79, -172, -301, -466, -667?\n\"Answer: -18*x**2 - 3*x - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -10514*z**2. Let w(l) = 1286*l**2 + l. Determine w(a(m)).\nAnswer: 142159836056*m**4 - 10514*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 1 divided by 28515391\nAnswer: 1\/28515391","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 111736 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -t**2 - 79*t - 714. Calculate n(-10).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 41 - (25 + 11 - -7)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -2682 and 5179.\nAnswer: -13890078","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.12 - -6.12. Which is the nearest to 1? (a) k (b) -2\/7 (c) 0.05\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 413224 times -0.1049\nAnswer: -43347.1976","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = a**3 - 225*a**2 + 10399*a + 172. Let u be i(160). Let n = 14 - 2. What is the highest common factor of n and u?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 21 - (13 + 1 + -23 + -18)?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = n**3 + 6*n**2 - 7*n. Let w be g(-7). Suppose w = -0*x + x. Let z be (1\/(-2))\/((-3)\/6). Which is bigger: z or x?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**(2\/13)\/h)\/h*h*h**2*h*h\/(h\/(h\/(h**24*h))*h*h)*h*h*h*h**(17\/3))**(-1\/44) assuming h is positive.\nAnswer: h**(148\/429)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-1)\/(((-120)\/(-8))\/(-33690))?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:03 PM and 8:34 AM?\nAnswer: 691","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*o**5 + o**5 - 2*o**5 + (3*o + 3*o - 11*o)*(0*o**4 + 0*o**4 - 4*o**4).\nAnswer: 23*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7 + 3 - 4)*(-2 + 3*y - y + 15)*(5*y + 17*y + 0*y).\nAnswer: 264*y**2 + 1716*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 4.841 + -4.76. Let p = -17773695 - -17773694.919000068. Let t = k + p. Round t to seven dps.\nAnswer: 0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-35)\/(-30)*-16*6)\/(-1). Let a = s - -86. Does 66 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*c + 38 - 682 = 0. Let x be 2\/5 - 14\/35*c. Let u = x + 53. Calculate the highest common factor of 5 and u.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*a + 160 - 78. Solve 39*x = a*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*a - 12*a + h + 52, 5*h - 37 = -2*a. Suppose 10*c + 127 = a*c. Is c a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -p + 2*p**2 + 1 + 0*p - 3*p**2. Let r(h) be the first derivative of 2 + 4\/3*h**3 + 4*h**2 - 4*h. Give 6*g(a) + r(a).\nAnswer: -2*a**2 + 2*a + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-4)\/10 - 246\/410. Let t be 410\/(-82) + (-6)\/z. Let v(c) be the first derivative of c**3\/3 + c + 1. Let u(b) = -3. Calculate t*u(l) + 3*v(l).\nAnswer: 3*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (4*9\/72)\/(42\/(-4))*-6?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -j**3 + 5*j**2 - 3*j - 1. Let q be b(4). Let f = -4 + q. What is the units digit of ((-6)\/(-4))\/(f\/(-4))?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine a so that 144*a**3 + 860*a**2 - 5784*a + 160 = 0.\nAnswer: -10, 1\/36, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 23941103 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 226*(-15)\/130 - 2\/(-26). Which is the second smallest value? (a) x (b) 0.1 (c) -0.2 (d) 3.1 (e) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kk when two letters picked without replacement from {g: 1, r: 4, d: 1, k: 5, c: 2, o: 2}.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.16 + -0.24. Which is the closest to -1\/3? (a) -0.3 (b) m (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -6375645 and -2?\nAnswer: 6375643","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 6503 a factor of 1125622294?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*a - 499*w = -500*w + 70, 2*w = -7*a + a + 104 for a.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 48\/600 + 796\/50\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-208)\/24 + 6 - (-2618)\/1155?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -776*g**2 + 396*g**2 + 309*g**2. Let i(d) = -6*d**2. What is l(i(n))?\nAnswer: -2556*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 + (-4 - -3) + 8 - 7.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -19, -4, 232 in descending order.\nAnswer: 232, -4, -19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*w + w + 13 = -1646. What is the remainder when 619 is divided by w?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wwwiii. What is prob of picking 2 w?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = -3*h - 1. Let d(s) be the second derivative of -1\/12*s**4 + 0 + 0*s**h + 0*s**3 - 1\/20*s**5 - s. What is the third derivative of d(x) wrt x?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -19\/2, -4, -2\/13, 0.3?\nAnswer: -19\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -5*i**2*t*x**2 + 343*i**2*t - 4*i**2*x**3 - 2*i*t*x**3 + 4*i*t - 30*i*x**3 - 2*i*x**2 - 5*t wrt i?\nAnswer: -10*t*x**2 + 686*t - 8*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 3 + 4)*(-9*f - 3*f - 2*f) + 1 - f + 2 - 1.\nAnswer: -43*f + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 96 divide 194336?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = 2*h - 6. Let n(r) = -91*r + 19. Give -n(m) - 4*q(m).\nAnswer: 83*m + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -1492, -1303, -1136, -1003, -916?\n\"Answer: -2*a**3 + a**2 + 200*a - 1691","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 62130 a multiple of 38?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:02 PM and 7:44 PM?\nAnswer: 102","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-9)\/(-21) + 200\/56. What is the highest common factor of n and 604?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -791 - -791. Let r = -1621\/7 + 231. Which is the closest to u? (a) r (b) -1\/8 (c) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 548?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.4 and 0.26.\nAnswer: 0.104","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 67*p + 385 = 16*p - 4*p for p.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2 and 1638?\nAnswer: 1638","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4*-4*(-55)\/20?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 62570491 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -318 - -313. Let f(o) = -2*o**3 - 4*o**2 + 3. Let q(t) = 3*t**3 + 7*t**2 - t - 5. What is z*f(u) - 3*q(u)?\nAnswer: u**3 - u**2 + 3*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/8 of a meter in millimeters?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = a**3 - 3*a**2 + 2*a - 7. Let z be (-4)\/(-2)*(-6)\/(-4). Let k be y(z). Let j be (-59 + 57)\/((-1)\/(-2)). Sort k, j, 7 in descending order.\nAnswer: 7, k, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 424079 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 - (10 + -5 + -1)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1233 a factor of 20283317?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 4, z: 3, s: 1}. Give prob of picking 1 u and 2 z.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) be the third derivative of -119*r**6\/6 + 2168*r**3\/3 - 3612*r**2. Differentiate a(z) with respect to z.\nAnswer: -7140*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 100*l**4 - 100*l**4 - 8*l**5 - 2*l**3 + 7*l**3 + 24*l**5 - 28*l**5 + (0*l**5 + 3*l**5 - 4*l**5)*(-6 + 2 + 1).\nAnswer: -9*l**5 + 5*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-12)\/(-7) + (-4)\/(-14). Let k(s) = -18*s**2 - 4*s + 1. Let o be k(z). Let l = o - -101. Solve 4*j + l = 2*v, 1 = 5*j + 3*v + 12 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -59 + (56 + -27 - 3)?\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 89.8 - 90. Put 4, o, 0, -2 in descending order.\nAnswer: 4, 0, o, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) be the second derivative of v**4\/12 - 5*v**3\/6 + 2*v**2 - 4*v. Give w(3).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1296080 divided by -340?\nAnswer: -3812","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*t + 33*t = 96 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.66815046 rounded to 2 decimal places?\nAnswer: -1.67","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 40267795.\nAnswer: 5, 59, 136501","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 1211907227 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 51 divided by -265?\nAnswer: -51\/265","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 bigger than 10?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -24*p + p**3 - p**3 + 5*p**2 + 2*p**3.\nAnswer: 2*p**3 + 5*p**2 - 24*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = 4*u**2 - 16*u - 16. Let i(n) = n + 1. Let h(j) = -16*i(j) - p(j). Let g(v) be the second derivative of v**3\/6 - 3*v. What is h(g(c))?\nAnswer: -4*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yoo when three letters picked without replacement from {l: 3, y: 3, f: 4, p: 1, o: 2, i: 3}.\nAnswer: 1\/560","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = 2*r - 3. Let y(n) = -3*n + 1. Suppose f - 6 = 2*f. Let u = f - -5. Let q be y(u). Calculate a(q).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 432 minutes after 1:27 AM?\nAnswer: 8:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Product of -4.1 and 508.\nAnswer: -2082.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) be the second derivative of h**5\/60 + h**3\/6 + h. Let g(b) be the second derivative of k(b). Let i(n) = 10*n + 11*n - 22*n. Calculate i(g(a)).\nAnswer: -2*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 96\/11 - 694\/77. Which is the closest to 0.3? (a) 5 (b) -1 (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = 42*m + 2. Let t be y(1). What is the derivative of -t - 43*v**2 + 80*v**2 - 46*v**2 wrt v?\nAnswer: -18*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find w, given that w**3\/3 - 1658*w**2\/3 = 0.\nAnswer: 0, 1658","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 20408 is divided by 464.\nAnswer: 456","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1713 is divided by 249.\nAnswer: 219","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -0.5 (b) -5 (c) -10\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6278 is divided by 3127?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -36*v + 109 + 431 for v.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1137?\nAnswer: 3, 379","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3278, -3022, -2332, -992, 1214?\nAnswer: 4502","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v + 16 = -0*t + 3*t, 4*t + 2 = 5*v. Let w be (-45)\/(-27)*v\/(-5). What is the second biggest value in w, 0.3, 5?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u**(2\/35)\/u**44 assuming u is positive.\nAnswer: u**(-1538\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-20)\/(6\/(-3)))\/(-2)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -719*z**2 - 1221*z**2 - 388*z**2 as g*z**2 + b*z + v and give g.\nAnswer: -2328","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor z**3\/4 + 83*z**2\/4 - 178*z + 364.\nAnswer: (z - 4)**2*(z + 91)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let -58*m**3\/3 + 22097*m**2\/9 + 22399*m\/9 + 128\/9 = 0. What is m?\nAnswer: -1, -1\/174, 128","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is -24971\/3 at least as big as -8324?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.1 from -398163573.96.\nAnswer: -398163573.86","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from daadaaddqqdadd. What is prob of picking 2 a?\nAnswer: 10\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 87904.498 - -16.3?\nAnswer: 87920.798","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-5)\/((-5)\/(-1011))*(-2 + 1) is divided by 29.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (8 - (-260)\/(-30))*(-407 - 1) a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.08478 rounded to 1 decimal place?\nAnswer: -2.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -21\/4 in -0.1, -5, 0.2?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 184 minutes after 9:05 AM?\nAnswer: 12:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -24035*x - 2. Let b(l) = -28*l**2 + 1045*l - 19. Let v(i) = -3*i**2 + 110*i - 2. Let y(d) = 2*b(d) - 19*v(d). What is y(h(k))?\nAnswer: 577681225*k**2 + 96140*k + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -12 in -3, -0.2, 2\/9, 35, 254?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.0749 - 0.2749. Let q = -12 - -8. Which is the nearest to v? (a) -0.4 (b) -3 (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 3\/(25\/(-24) + 14\/21). Does 44 divide ((-88)\/5)\/(d\/120)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*i - 8, -16 = -5*c - 3*i + 297. Suppose o = 6*o - c. Calculate the remainder when 24 is divided by o.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.0449, -45, 3?\nAnswer: -45","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -6.171 rounded to the nearest integer?\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -26*s**3 - 153 + 33*s**3 + 135.\nAnswer: 7*s**3 - 18","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide ((-6)\/(-10))\/((-12)\/(-1380))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -34 divided by -1.\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -10, 3544, 60\/13?\nAnswer: 3544","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -9*n**2 + 825*n - 14963. Give l(25).\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = r. Let z(i) = -34822130*i**2. Determine z(f(h)).\nAnswer: -34822130*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f + 4*r = -f + 44, 2*f - 25 = -3*r. Let m(o) = o**3 + 3*o**2 - 16*o - 9. List the prime factors of m(f).\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) be the second derivative of -5*c**3\/2 + 2*c**2 - 5*c. Let h = 5 - 8. Is m(h) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 156, 318, 484, 654, 828, 1006, 1188?\nAnswer: 1374","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -k + 2. Let y(x) = 2*x - 6. Let t(l) = l**3 - l**2 + 11*l + 3. Let q be t(0). Let w(f) = q*g(f) + y(f). Let i(j) = -8*j**2. Give w(i(m)).\nAnswer: 8*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1932, 7735, 17310, 30561, 47392, 67707, 91410?\nAnswer: 118405","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = q**2 - q. Let h(o) = -3*o**2 - 85*o - 524. Let v be h(-9). Let c(k) = 15*k**3 - 2*k**2 + 2*k. Calculate v*c(i) - 4*g(i).\nAnswer: -30*i**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t = 1929 - 7157. Suppose -12*g + 1598 = -t. What is the units digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/5 of a litre?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-36)\/14*(23\/92)\/(((-320)\/(-70))\/16)\nAnswer: -9\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 242017?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 1064233 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m + 5*x - 11625 = 0, 5*m + 2*x + 11641 = 3*x. Let p = -3280 - m. Let f = p - -1478. Is f composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 107.19128 rounded to the nearest ten?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*n - 8 = -4*h, -2*n + 3*h - 28 = -22 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 965854*y**3 + 958313*y**3 - 1924168*y**3.\nAnswer: -y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 4154497 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*x - 2*p - 6, 4*x - p + 4*p + 9 = 0. Suppose 2*q - t = 2, 8 = 5*q - 2*t + t. Let u = q + x. Is 2 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = 6*c + 3. Let h(x) = -21*x - 88. Let g be h(-4). Give t(g).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -41 - 5989?\nAnswer: -59ca","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve a - z = 15, 0 = 3*z + 9396 - 9387 for a.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2262894.\nAnswer: 2, 3, 131, 2879","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 600*t - 25133 = 267*t - 660*t - 308 for t.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -a + 7. Let v be i(-6). Let o = -18 + 31. Calculate the highest common factor of v and o.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1.4 and -3455.\nAnswer: 4837","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 18\/5 of a milligram in micrograms?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) be the second derivative of -13*x**4\/12 + 17*x**2\/2 - x. Let t(d) = 7*d**2 - 9. Let g be (-1)\/(-8*(-12)\/576). Calculate g*i(k) - 11*t(k).\nAnswer: k**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (72\/7)\/((-4)\/(-56)). Suppose 2*h - r = -2*k - 0*k, -220 = -3*k - 4*h. What is the tens digit of k?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s + 12 = -10. Is s not equal to 0.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 848594 to the power of 1\/5, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 679 minutes before 12:58 AM?\nAnswer: 1:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 5399, 10775, 16111, 21407, 26663, 31879?\nAnswer: 37055","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -14 - -60. Let f = 401 - 47. Let a = 722 - f. Calculate the highest common factor of a and z.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y\/(y*y**(3\/7))*(y*y\/(y\/(((y\/((y*y**(2\/3))\/y))\/y)\/y))*y*y)\/y*(y\/y**(-2\/15))\/(y**(-33)*y*y) assuming y is positive.\nAnswer: y**(3364\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) be the third derivative of o**8\/3024 - o**7\/315 + o**6\/270 + o**5\/90 - 5*o**4\/216 - 168*o**2. Determine k so that z(k) = 0.\nAnswer: -1, 0, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 4 in -2\/7, -5, 5, 0?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) be the third derivative of q**4\/2 - 7*q**3\/6 + 9*q**2. What are the prime factors of n(4)?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3510753 is divided by 6074.\nAnswer: 6055","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is -479081\/14 at most as big as 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -67\/405 and 49\/45.\nAnswer: 405","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (((2*sqrt(2816) + 2 - (1 + sqrt(2816) + 1)) + 0)*3)**2.\nAnswer: 25346","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1561*z**3 - 5972*z**2 - 8843*z + 2930 wrt z.\nAnswer: 9366*z - 11944","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 73 + -258. Let d = g - -190. Put 8, d, -2 in decreasing order.\nAnswer: 8, d, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (124\/(3 + -5))\/(-1). Let o = p + -83. What is the hundreds digit of 1*-321*7\/o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 45 and 214155.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20*a = -115*a - 283*a - 12540 for a.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -y - 9. Let j(c) = -c - 1. Give 15*j(p) - 3*u(p).\nAnswer: -12*p + 12","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = b**3 - b**2 + b + 1. Let s(h) = 49*h**3 - 98*h**2 + 98*h + 98. Suppose 26*c + 7*c = -95*c - 128. Determine c*s(a) + 98*w(a).\nAnswer: 49*a**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -v**3 - 4*v**2 - v + 3. Determine g(-2).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 175398869?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 25957271*p - 23350456 with respect to p.\nAnswer: 25957271","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-8)\/10)\/((3\/2)\/3)*-165. Let w(u) = u**2 + 5*u - 3. Let c be w(-7). What is the greatest common divisor of j and c?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 - (30 + -2 + -9)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 360 minutes before 4:10 PM?\nAnswer: 10:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((y*y**(1\/2)*y)**(-37))**(-2\/121))**(-48) assuming y is positive.\nAnswer: y**(-8880\/121)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/(-2)*(17248\/484)\/(-56)?\nAnswer: 14\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -154362*a**2 - a - 1253456 wrt a.\nAnswer: -308724*a - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2 - -7. Let v = 54.4 + -49. Let u = 5 - v. Which is the second smallest value? (a) u (b) n (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 15 + (6 + -66 - (-5 + 17)).\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (23 - 23 + 73*a**2)*(-1 + 0 - 1 - 1 - 1 + 0 + 2 - 1 - 2 + (-2 + 3 - 2)*(2 + 0 - 1) + 0 + 0 + 2).\nAnswer: -292*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 208 and 65?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 5076, -97, -4 in decreasing order.\nAnswer: 5076, 5, -4, -97","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 58716 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -0.0826 times 0.3\nAnswer: -0.02478","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide -310560 by -3235.\nAnswer: 96","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -11*i**5 - 2*i**4 + 26*i**3*m - 980*i*m + m wrt i.\nAnswer: -220*i**3 - 24*i**2 + 156*i*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.111 and -0.47?\nAnswer: 0.05217","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*v**2 + 5*v**3 + 3*v**2 + 27*v - 4*v**2 - 53*v - 2 to l + h*v**2 + a*v**3 + b*v and give b.\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-13))**(1\/13)*(a**(23\/3)\/a*a)**(-1\/18) assuming a is positive.\nAnswer: a**(-77\/54)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -2a96 - 1?\nAnswer: -2a97","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -2 + 3000303111?\nAnswer: 3000303104","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t + 2*t = -4*c + 542, 0 = 4*c - 4*t - 524. What is the common denominator of -73\/36 and 4 - ((-36)\/(-112))\/(10\/c)?\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -5 + 9. Suppose -3*x - 18 = 2*o, -46*x + 43*x - 18 = -4*o. Which is the closest to o? (a) -11 (b) w (c) 1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -7 + 7 - 5*y**2 + (-y + 0*y + 0*y + (-1 - 1 + 4)*(3*y - 2*y + 0*y) - 3*y + 0*y + y)*(-y + 7*y - 42*y).\nAnswer: 31*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 61\/25208 and -37\/44114.\nAnswer: 176456","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -39808 + 39808.000024607. Round g to five decimal places.\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -14 + 9 - 52\/(-10). Sort 3\/2, -3, z, -0.2 in descending order.\nAnswer: 3\/2, z, -0.2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q, 1 m, 1 y, and 1 h when four letters picked without replacement from {m: 1, q: 1, h: 5, a: 1, v: 4, y: 3}?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d - 3*l + 38 = -197, -25 = -5*l. Let q = 44 + d. Suppose -5*u + 2*y + 23 = -q*u, -3*y = 4*u. Solve 2*t - 13 = -4*s + u, 0 = t for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -l**2 + 1989*l + 25. Let v(g) = g. Calculate v(c(r)).\nAnswer: -r**2 + 1989*r + 25","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.1 + -1.1. Let j = 2695 - 2695.3. What is the smallest value in j, h, 4?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 28140 is divided by 3515.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 138013 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 973\/666 + 7\/74. Let y(m) = 5*m**2 - 14*m - 2. Let a be y(3). Is o greater than or equal to a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -229*w - 775 = 710*w + 1103 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 200501556 a multiple of 68?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -y**3 - 13*y**2 - 40*y + 7. What is q(-7)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = s**2 + 4*s + 6. Let h be o(-2). Is 20 a factor of ((-175)\/125)\/(((-2)\/115)\/h)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 54 - 221\/4. What is the second biggest value in -5, x, 15\/4?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-4)\/(-5)*(-140)\/2. Suppose 0 = -2*s - 10 + 6. Find the common denominator of -121\/10 and (s\/v)\/((-1)\/(-67)).\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 358 - 373. What is the biggest value in 0.2, s, -4?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 253*o + 4*m = -675, o - 9460*m = -9455*m - 108 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -5*k**2 + 8*k**4 + 0*k**2 + 3*k**2 wrt k?\nAnswer: 192*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 392\/520 - (-12)\/(-20).\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -300.98829 to the nearest integer.\nAnswer: -301","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ffdly. Give prob of picking 1 d, 1 l, and 1 f.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -168*j**2 - j - 11. Let a(t) = -168*t**2 - 13. Give -5*a(s) + 6*u(s).\nAnswer: -168*s**2 - 6*s - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u = 50 + 16. What is the greatest common divisor of 6 and u?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*b - 8 - 8. Suppose b - 13 = -3*g. Find the second derivative of -32*o**g + 34*o**3 + 3*o + 9*o wrt o.\nAnswer: 12*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -38 or -153?\nAnswer: -38","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-143*s - s**2 + 143*s)*(1 - 2 + 2) + (-4*s - 2*s + 4*s)*(-s - 1 + 1) + 10 - 11 - 3*s**2 + 2.\nAnswer: -2*s**2 + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 47 divide 705?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 108066120?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -2940, -5816, -8694, -11574?\n\"Answer: -w**2 - 2873*w - 66","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/(-2))\/((((-2)\/6)\/((-50)\/300))\/(-98)).\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2175?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 86 - 86.00065. What is u rounded to 5 dps?\nAnswer: -0.00065","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-1)\/(-2))\/(6\/72). Let o be y\/((-7)\/((-84)\/8)). Suppose -o - 60 = -3*f. Solve 5*b + 8 = f for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x**7\/(x*x**5\/x) assuming x is positive.\nAnswer: x**2","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 1, 3, 4, 442 in decreasing order.\nAnswer: 442, 4, 3, 1, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4*(sqrt(78) + -3*sqrt(78)))\/(-3*sqrt(96)))**2.\nAnswer: 52\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = 7*s + 5. Suppose 5*i = -2*a + 4*a + 8, -i = 2*a + 8. Let y(w) = -7*w - 4. Let j(r) = a*p(r) - 5*y(r). Let m(k) = -2*k**2. Calculate j(m(d)).\nAnswer: -14*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -13*l**2 - 40*l + 2. Let y be g(-3). Suppose 15*v - 13*v - 178 = 5*z, y*z + 84 = v. Calculate the remainder when v is divided by 8.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*k**4 + 5 + 91*k**2 + 2*k**4 + k**3 - 90*k**2 to v*k**2 + b*k**4 + s*k**3 + y*k + z and give b.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 73 and 4189981?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t = -0*t. Suppose 0 = -3*z + 9*z - 138. Suppose -24 = z*l - 15*l. Which is smaller: t or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 28 - 31 - (0 + 1) - -4?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) be the second derivative of -4*n - n**2 + 0 + 1\/2*n**3. Differentiate g(f) wrt f.\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -25 - -13. Let r = 17 + o. Solve -4*i = x - 12 - r, -4*i = -5*x - 35 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -48*s + 49*s - 1187 = 0. What are the prime factors of s?\nAnswer: 1187","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 95655?\nAnswer: 3, 5, 7, 911","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*v + 39670 = 3*z + 39673, -4*z - 5 - 10 = -v for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 103*p - 95*p + 32 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 52658 is divided by 634.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*g = 3*b - 5*g + 20, -2*b + 5*g = -25 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/19, -4, -4.1, 0.5, 0 in descending order.\nAnswer: 0.5, 0, -2\/19, -4, -4.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4\/4 + 76\/(-68).\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 43279 + -3462251\/80. Find the common denominator of b and -23\/1960.\nAnswer: 3920","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (4 - 68\/12)*(-22365)\/(-32305)?\nAnswer: -15\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-4456)\/12)\/((-56)\/924) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = 197*o**2 + 3. Let q(g) = 32900*g**2 + 500. Calculate 500*h(t) - 3*q(t).\nAnswer: -200*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-79*m + 79*m + 12*m**4)*(-18 + 16 - 30)*(0 + 5 - 4).\nAnswer: -384*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 10 + -61.2. Let f = -520 + 455. Let a = n - f. What is a rounded to zero dps?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j = -4*t - 6 - 12, 3*t = 5*j - 39. What is the remainder when (795\/(-106))\/(1 - (-6)\/(-4)) is divided by j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -53\/26 and -41\/22?\nAnswer: 286","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 11544 and 13553544.\nAnswer: 888","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -43 or -7?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x**4*x*x*x**(-3)*x**(-6)\/(x**(4\/7)\/x)*x**3\/(x\/(x*x**(1\/4)))*x**(-2\/7)*x*x**(-2\/7) assuming x is positive.\nAnswer: x**(31\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m - 1072 = 4*q, 782 = 5*m + 2*q - 970. What are the prime factors of m?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*q = -5*q - 2*f - 143, 4*q + 3*f = -120. Let h be 0 + 1\/(-1) + 0. Is -28*(q\/12 + h) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/2 of a litre in millilitres?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 42 - 82 - 19*d**3 + 40.\nAnswer: -19*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 23 + 59 + -135 - (-5 - (4 + -2)).\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -34113 - -43334?\nAnswer: 4221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1101\/149 or 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = r**3 - 10*r**2 + 15*r - 62. Suppose 35*t - 543*t = 976 - 5548. Determine x(t).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 116 + 6953*f + 130 + 2*f**2 - 7041*f = 0. What is f?\nAnswer: 3, 41","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 703 minutes before 11:16 PM?\nAnswer: 11:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-209989)\/(-1114)*4\/26?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g = 34 + 28. Let t be 510\/8 + (-1)\/(-4). Suppose -3*v + t = 4*l, 3*l - 4*v - 20 = 28. Calculate the remainder when g is divided by l.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -7 + -6. Let b = 9 + r. Put 2, 0, b in ascending order.\nAnswer: b, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 (base 12) in base 16?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 17665338?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 12797753\/237240 - -3\/26360. Let j = w - 166\/9. What is the common denominator of j and -149\/12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.842206602+-11729.2\nAnswer: -11728.357793398","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 7\/((-49)\/(-30)) + 4\/(-1). What is s in -h*s - 2\/7*s**2 + 4\/7 = 0?\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = 62044*r + 744433. Determine v(-12).\nAnswer: -95","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n\/(n\/n**(-22))*n**(6\/13)*n*(n**(-3\/2)*n*n)\/(n\/(n*n**(-19))) assuming n is positive.\nAnswer: n**(-1015\/26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = 3*a - 10. Give t(10).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -40 + -44 + 33 + 43?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Expand -2*s**2 - 2*s**2 + 3*s**2 + (-2*s + 2*s + 2*s**2)*(3 - 1 + 0) + s**2 - 3*s**2 + 0*s**2 + (4*s**2 - 5*s**2 - 2*s**2)*(-1 - 2 + 4).\nAnswer: -2*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.3? (a) 148 (b) -114 (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -29b (base 13) to base 2\nAnswer: -111010010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -8.1 - -10. Let w = -1.6 + d. Suppose -123 = -4*g - 111. What is the closest to 5 in 5, g, w?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -402 + 406. Solve -2*a = -5*i - 18, -a + 3*i = n*a - 7 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vmllvrlldvl. What is prob of picking 1 m, 1 v, and 2 l?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.4, -0.14, 2\/23?\nAnswer: -0.14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 - -6 - (-1 - 5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = y**2 - 2. Let j be d(4). Suppose 20 = 5*t + 2*i - j, 0 = 4*t - 5*i - 47. Suppose -w = -5*w + t. Solve 0 = -w*m - 5 + 1 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 121 + -33. Let y be (q\/10)\/((-9)\/45). Let j be (-5)\/(-10) - (-30)\/y. Sort -2, j, 1\/4.\nAnswer: -2, j, 1\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hhbk when four letters picked without replacement from lffhfkhbllffkl?\nAnswer: 1\/6006","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 43*l**2 + 9*l + 45*l**2 - 3672 - 79*l**2.\nAnswer: 9*l**2 + 9*l - 3672","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.1, -0.07, 0.5, 19?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1120223112 (base 4) to base 9.\nAnswer: -613220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -4*z + 2*z**2 - z**2 + 5 + 3*z**2. Let w(v) = 5*v**2 - 4*v + 6. Suppose 0 = h + 5*j - 5, 9*j = 10*j - 2. Give h*w(x) + 6*r(x).\nAnswer: -x**2 - 4*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-2)\/(-14) - (-13)\/(-91). Suppose n = -f*a + 3*a - 11, 2*a + n - 4 = 0. Put -3, 0, a in descending order.\nAnswer: a, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 12*x**4 + 8*x**4 - 4*x**4 + (x**2 - x**2 - x**4)*(-1 - 2 + 4) to the form h*x + w*x**2 + b*x**4 + q*x**3 + c and give b.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 283 or 43071\/152?\nAnswer: 283","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand -15 + 25*g**3 + 25 - 5 - 3*g**2 + 3*g**2 - 2*g**3 + 0*g**3 - g**3 + 3*g**3 + (-5*g**3 + 2*g**3 + 4*g**3)*(2 - 2 - 1) + 0*g**3 - 2*g**3 + 4*g**3.\nAnswer: 26*g**3 + 5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.0933 - -0.082. Round h to 3 dps.\nAnswer: -0.011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 274677214 and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -37 + -209949?\nAnswer: -209985","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -r**3 - r - 30*r**2 + 0*r**3 - 43 + 31 - 305*r**4 + 309*r**4 to the form d*r**2 + z*r**4 + t*r + y + s*r**3 and give s.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -7 - -2827?\nAnswer: 2820","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 1, s: 4, m: 3, f: 1, z: 9}. What is prob of sequence fm?\nAnswer: 1\/102","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2006902 rounded to 4 decimal places?\nAnswer: -0.2007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1042580 is divided by 69504.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from aaxxxaxcaxaxx. What is prob of picking 2 a and 1 x?\nAnswer: 35\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) be the second derivative of -r**6\/720 - r**5\/240 - r**3\/2 - 2*r. Let v(q) be the second derivative of t(q). Find z, given that v(z) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -6*a**2 - 2*a**3 + 2*a - 8*a**2 - 1 + 12*a**2 + a**4 in the form v + m*a + h*a**3 + t*a**2 + w*a**4 and give h.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -121\/60 and 47\/80?\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 986.\nAnswer: 2, 17, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = 20*h + 6. Let k be 2\/(-5) + (-37887)\/(-3880). Let n = 1\/97 + k. Find the common denominator of o(1) and n.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(104)*4 - sqrt(104))\/(-6*5*sqrt(8) - sqrt(8)).\nAnswer: 9*sqrt(13)\/31","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = 130*s + 1323. What is the units digit of v(43)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 3 + ca7c4b?\nAnswer: ca7c51","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 121711?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 6380 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 631 minutes after 8:56 AM?\nAnswer: 7:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 69877 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 21\/(-1)*1437\/17244.\nAnswer: -7\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-13)\/(-156) + 49195\/60?\nAnswer: 2, 5, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -7695896, -7695898, -7695902, -7695908, -7695916?\nAnswer: -7695926","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -19\/20 and (-22)\/((-2640)\/(-189)) - 2\/8?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = 4*p**2 + 3*p + 1. Suppose 5 = -3*m - 2*s, 3*s + 4 = -m - 0*s. Let x be f(m). Factor 5*b**x - 6*b**3 + 2*b**4 - 6*b**2 - 7*b**2.\nAnswer: 2*b**2*(b - 4)*(b + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -10*l**2 - 678*l + 693. Give s(1).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-3124)\/(-602) + 6700\/(-144050). Factor 120\/7*j + 2\/7*j**3 + v*j**2 - 400\/7.\nAnswer: 2*(j - 2)*(j + 10)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor f**2\/3 + 77131*f\/3 - 360010.\nAnswer: (f - 14)*(f + 77145)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 22*t - 16*t - 1188. Calculate the remainder when t is divided by 26.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 984158693 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 26 + -32. Let m(k) be the third derivative of 11*k**2 + 1\/120*k**6 + 7\/60*k**5 + 1\/8*k**4 + 0 + 0*k - 5\/6*k**3. Calculate m(l).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = v + 3. Let a be x(3). Let m = 0 + 2. What is the third derivative of l - l**m + l**a - l wrt l?\nAnswer: 120*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dl when two letters picked without replacement from ldddldldddddld?\nAnswer: 20\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*k + 3*p + 12 = -3, -4*p = 0 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = 19*c + 106. Let n(a) = -12*a - 107. What is 3*g(l) + 4*n(l)?\nAnswer: 9*l - 110","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3694977 + -3695669.97985. Let h = 693 + o. Let g = -0.02 + h. Round g to 4 decimal places.\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1188 + -1167. Let v(b) = b**2 + 10*b - 5. Let n be v(-11). Calculate the remainder when h is divided by (-2)\/(4\/n) - -6.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 199825?\nAnswer: 5, 7993","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v = -1 + 16. Suppose -2*j - 70 = -5*y, 2*y + 14 = v*y - 4*j. Suppose -7 = -3*r + y. What is the units digit of r?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.2 and -3.46?\nAnswer: -0.692","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2453.6 - -102613998.\nAnswer: 102611544.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*v**2\/3 + 178071592*v\/3 - 3963686484676808\/3 = 0. Calculate v.\nAnswer: 44517898","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 30, 37, 58, 99, 166, 265, 402?\n\"Answer: h**3 + h**2 - 3*h + 31","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = 522*r - 447. What is the thousands digit of l(15)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -875347139\/1900 + 460709. Calculate the common denominator of -103\/30 and x.\nAnswer: 5700","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 102129 and 4956?\nAnswer: 177","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + ((-1 + sqrt(4032) + sqrt(4032))*5*-6 + 2)*-2 + 2)**2.\nAnswer: -362880*sqrt(7) + 58064769","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*a + 2*a + 76 - 76 + 2*a.\nAnswer: -5*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 5 + 0)*(574 - 389*m**4 - 1143 + 569).\nAnswer: -1167*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1552360 and 6.\nAnswer: 4657080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = 2*o + 4. Let b = -126 + 122. Calculate i(b).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -46946, -375928, -1268886, -3007808, -5874682?\nAnswer: -10151496","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = 7*y - 35. Let m be a(5). Let d(s) be the third derivative of 0*s**5 + m*s + 0 + s**2 + 3\/32*s**4 + 1\/4*s**3 - 1\/160*s**6. Find n such that d(n) = 0.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*u + u - u)*(-1324*u**2 + 25 + 30*u**3 - 31*u**3 - 26).\nAnswer: -2*u**4 - 2648*u**3 - 2*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 14374.89 less than -2\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -480 divided by 80?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = 61*k + 3746. What is v(-61)?\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express (5 - 5 - 3)*(3*n + n - n) + 52*n + 0*n + 50*n as k*n + p and give k.\nAnswer: 93","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -1.45*36\nAnswer: -52.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -14.49 rounded to the nearest integer?\nAnswer: -14","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let -f**2 - 1635*f + 67000 = 0. What is f?\nAnswer: -1675, 40","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 7, d: 8, v: 3}. What is prob of sequence dyy?\nAnswer: 7\/102","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve m - 23 = m - o, 22*m - 10*o - 137 = -15*o for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/((18\/3)\/30).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d + 3*x - 10 = 0, -2*x + 20 = 2*d - 4*x. Suppose -4*q = w - 63, -12 = -q - 3*w - w. Let m = q - d. What is the tens digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -53783 - 513*j**3 + 231*j**3 + 53783.\nAnswer: -282*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 4095 to the power of 1\/2, to the nearest integer?\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1000101110 (base 2) to base 3.\nAnswer: -202200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is q in -3*q**2 - 3219*q = 0?\nAnswer: -1073, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 279 >= 282?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.18 times 10680.2?\nAnswer: -1922.436","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 4\/3, 1\/4, 8.7, 203, -4, 0, 0.4?\nAnswer: 203","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -116, -230, -354, -494, -656, -846, -1070?\nAnswer: -1334","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -2 - -41?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 98157 to the nearest integer?\nAnswer: 313","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -75503 and 9047?\nAnswer: 84550","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -c**3 + c. Let k(a) = 2*a**3 - a**2 + 2*a - 2. Let d(v) = j(v) - k(v). Let g(l) = l**3 - l**2 - 1. Determine -d(s) - 2*g(s).\nAnswer: s**3 + s**2 + s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -j**3 + 11*j**2 - 11*j + 14. Let n be t(10). Solve 9*p = n*p - 20 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/(-10)*-6*(-11)\/33.\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -14, -0.14, -7, 2\/9?\nAnswer: -0.14","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w = -5*h - 7*w + 184, -30 = -h + 3*w. What is the least common multiple of 3 and h?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 874.665 - 877. Let m = -2.3 - r. Let j = -0.035044 + m. Round j to 5 dps.\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) be the second derivative of -n**4\/3 + 16*n**3\/3 - 32*n**2 + 7*n. Factor f(o).\nAnswer: -4*(o - 4)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s*s**(-4\/7))**(-4\/3) assuming s is positive.\nAnswer: s**(-4\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 14450*n**4 - 78*n**3 - 9*n - 14439*n**4 + 75*n**3 to the form z*n**3 + x + t*n**4 + f*n + o*n**2 and give t.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 - 27 = -4*v. Suppose y + 3*f - 24 = -9, -y + v = 2*f. Solve -2*x + 4*x + 8 = y for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s, 1 l, and 1 h when three letters picked without replacement from iihlhisuhii?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -153477093, -153477094, -153477097, -153477102, -153477109, -153477118, -153477129?\nAnswer: -153477142","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 + 3 - 2 + 169*j.\nAnswer: 169*j - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*u + 4*u - 5*u + (6 - 2 - 2)*(-5*u + 3*u + 3*u))*((4 - 1 - 5)*(-2 - 1 + 5) - 4 - 3 + 5 - 3 - 1 + 3 + 17 + 4 - 3).\nAnswer: -33*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 340*x**2 + 34923*x + 16571048 wrt x.\nAnswer: 680*x + 34923","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (1240\/105)\/((-52)\/174). Let o = i - -268\/7. Do 0 and o have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = 2076*x. Let j(a) = -70935*a. What is j(p(i))?\nAnswer: -147261060*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = 10*x + 3. Suppose -4*h = -2*p + 38, 2*h = -3*h. Suppose 0 = 5*v + 14 - p. Is b(v) even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -42 - -30. What is the tens digit of 99\/4 - 3\/s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3568 - 3564. Solve -4*f + 6 = -0*i - 2*i, -q*i - 7 = -3*f for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 243055 smaller than 243058?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in nineteen quarters of a century?\nAnswer: 5700","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 144855*i**2 - 144869*i**2 - i - 1 + 1.\nAnswer: -14*i**2 - i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z = -2*z + 44. Let b(n) = 7*n + 20. Let v be b(15). Suppose -63 = 3*p - 3*a, -p = 4*p + 5*a + v. Which is smaller: p or z?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 > 77\/123?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 229852.\nAnswer: 2, 7, 8209","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -11 - -8. Let b(i) be the second derivative of 0 + 0*i**2 - 1\/2*i**3 + 1\/6*i**4 + 4*i + 1\/20*i**5. Determine b(d).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 7415 - 4449. Suppose 3*g - x + 6*x - o = 0, -5*g - 5*x = -4960. What is the units digit of g?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -4.26551 or 2\/13?\nAnswer: -4.26551","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n and 2 p when three letters picked without replacement from {p: 2, n: 3}?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jkoojk. What is prob of picking 1 k and 1 o?\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l = 5*s + 4723, 5*s + 7 = 12. What is the highest common divisor of 48 and l?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00015214112 rounded to seven dps?\nAnswer: 0.0001521","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 94 + ((-5 - -2) + 0 - -1). Suppose -2*c = 4*v - y, -5*c + 178 = -4*v + v. What is the tens digit of c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l = 2*l + 1. Let i be l\/4 - (-39)\/12. Find the third derivative of 2*q**2 - 5 + 5 - q**i wrt q.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g - 50 = 220. Let o = g + 374. Let q = 918 - o. Is q a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 18 and 192702384.\nAnswer: 192702384","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = 18*y**2 + 6*y - 19. Let l be h(-8). Suppose 3*q - l = 244. Is q composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (2 - 22\/10)*2. Let b be 6235\/2175 - (-2)\/15. What is the nearest to b in -6, -1, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y - 39 = 18. Suppose -3*n + 32 = 4*z, -5*z + 21 + y = -5*n. What is the lowest common multiple of z and 14?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5 - -1) + 0 + (-5 - -21 - 2).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*f - 12*f - 2*f - 2*f + f + 3*f - 3*f + 4*f - 3*f + (5 - 3 - 3)*(-5*f + 4*f + 0*f) - 3 + 3 + 2*f + 1 - 1 - 2*f + 1.\nAnswer: -11*f + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.18887 - 7.371?\nAnswer: -7.55987","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 n and 2 g when four letters picked without replacement from nggngnnngnnnng.\nAnswer: 360\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/8 of a decade in months?\nAnswer: 165","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 232?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is -395 greater than -977?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 203477?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*d + 20, 4*d + 160 = -187*l + 1075 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(-5 + 1*(1 + sqrt(700)) + 3 + (sqrt(700) + -1 - sqrt(700)) + (-6*(sqrt(700) + sqrt(700) + -2*sqrt(700)) - sqrt(700))))**2 + 1.\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 2454 divide 595737948?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*v + 5*u + 12, 6*v + 3*u + 2 = v. Put v, 15, 3 in decreasing order.\nAnswer: 15, 3, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15791944 is divided by 673.\nAnswer: 672","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 9 + -34. Let n = o + 24.6. Which is the closest to 3? (a) 2 (b) n (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 18575031?\nAnswer: 3, 6191677","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -45 = 2*a + 27. Let o be 9\/a - (-13)\/4. Suppose 0 = 4*q + 3*j + 385, o*j - 510 = 5*q + j. What is q rounded to the nearest 100?\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 1290?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-130)\/(-78))\/(-9 - 318\/(-36)).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = 113288*k + 2718900. Determine j(-24).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 103, 131, 209, 361, 611, 983, 1501, 2189?\nAnswer: 3071","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g = -m + 2, 4*m - g - 7 = 2*g. Calculate the lowest common multiple of 6 and m.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17*r - 28*r + 9*r.\nAnswer: -2*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*u + 437 - 437.\nAnswer: 4*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7020630 divided by -10.\nAnswer: -702063","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m = 315 - 1716. Is m composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 91999, 92004, 92009, 92014, 92019?\n\"Answer: 5*x + 91994","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 56, 80, 138, 248, 428, 696, 1070, 1568?\n\"Answer: 3*l**3 - l**2 + 6*l + 48","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.3 in 4420, 0.057, 0.7, -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*j - 32 = -8. Let c = 118 + -115. Sort -5, -3, j, c in descending order.\nAnswer: c, -3, j, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 82854 equal to 82809?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express -409*h - 5885*h - 2 + 509*h as p*h + t and give t.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + sqrt(136)\/sqrt(8) + -1 + sqrt(2448).\nAnswer: 2 + 13*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26 = -4*k + 3*f - 15, f - 4 = 9*k for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -l**2 + 101*l - 110. Let s(u) = -u**2 + 51*u - 56. Let c(g) = 10*s(g) - 6*y(g). Find x, given that c(x) = 0.\nAnswer: -25, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 1, u: 5, j: 6, y: 7}. What is prob of sequence jjjy?\nAnswer: 35\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) be the third derivative of r**6\/72 - r**5\/24 + 11*r**3\/6 - r**2. Let o(c) be the first derivative of g(c). Factor o(x).\nAnswer: 5*x*(x - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is x in 1\/6*x**4 + 1\/6*x - 1\/6*x**3 - 1\/6*x**2 + 0 = 0?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -j**2 - j + 2. Let c be i(0). Suppose c*v = 3*a + v - 1135, 5*v = 10. Is a composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 99 - -7830\nAnswer: 7929","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o - 18 = -4*m, -2*o - 15*m + 10*m + 22 = 0. Let t(v) = v. Let c(w) = -2*w + 1. Let j(s) = o*c(s) + t(s). Let i(d) = -8*d + 6. Determine i(y) - 5*j(y).\nAnswer: -3*y + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 13947 and 27?\nAnswer: 125523","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14548?\nAnswer: 2, 3637","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -773 - -761. Calculate the common denominator of 131\/57 + (-4)\/b and -42\/31.\nAnswer: 589","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25 = -5*l + 5*o, -11 = -2*l + 4*o + 5. Let y be 120\/(-21) + (-4)\/14. What is the units digit of (-52)\/y - l\/(-6)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g - 2*b = -5*b + 12, -3*g - 4*b = -29. Let t(n) = 6*n**3 + 13*n**g + 2*n**2 - 4 - n - 7*n**3. What is the remainder when t(2) is divided by 20?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) be the second derivative of -w**6\/180 + w**5\/4 + 7*w**4\/24 - w**3\/2 + w + 21. Let o(s) be the second derivative of r(s). Differentiate o(x) wrt x.\nAnswer: -4*x + 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rwc when three letters picked without replacement from ricicrclcwciclorcwcc?\nAnswer: 3\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = 777 - 2*s - 777. Let x(c) = -12*c. Give x(q(z)).\nAnswer: 24*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -5.8 - -12.6. Let f = g - 0.8. Let h = -6.4 + f. Which is the biggest value? (a) -0.1 (b) h (c) -1\/8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1364*o**2 + 871 wrt o.\nAnswer: 2728*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c\/(c\/c**(2\/25))*((c*c**(-1\/5))\/c)\/c*c)\/((c**(-5)\/c)\/(((c\/(c*c**(-2\/3)))\/c)\/c)) assuming c is positive.\nAnswer: c**(341\/75)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 24383405?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-1 + (-25)\/3)\/((-2)\/15). Let u(p) = -39*p - 33*p + g*p. Let l(t) = 4*t**2 + 14. Determine u(l(b)).\nAnswer: -8*b**2 - 28","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8*z + 8*z + z**2)*(-2*z + 2*z - 6*z**2) + 3*z**4 - 7*z**2 + 7*z**2.\nAnswer: -3*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -28 + 1 - (-4 - 23)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 605.5798 decades?\nAnswer: 6055.798","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-13 - (-15 + 11)) + 13?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand y**5 - 2 + 2 + (-4*y**4 + y**4 + y**4)*(-3*y + 0*y - 2*y)*(-2 + 5 - 1).\nAnswer: 21*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 8\/(-6)*18\/(-4). Let h(o) be the first derivative of -4*o**3\/3 - 3*o**2 - 4*o + 6. Let u(k) = -5*k**2 - 2*k - 6*k + k - 5. Calculate s*u(p) - 7*h(p).\nAnswer: -2*p**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 1673, 3174, 4675, 6176?\n\"Answer: 1501*a + 172","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) be the first derivative of y**4\/2 - y**3 + y**2 - 2*y - 1. Let o be ((-4)\/(-1))\/2 + 4. Suppose o*j = 5*j + 2. What is p(j)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6715 = 7*n - 6743 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 6 + -5. Suppose 57 = -5*i - 143. Let p be (2 - 1) + 42\/i. Which is bigger: l or p?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 352995143 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = 4*s**2 - 11*s + 43. Let r be w(5). Suppose j - 381 = 10*x - 5*x, 0 = -5*j + 3*x + 1971. Calculate the highest common factor of r and j.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1413321 (base 5) to base 13.\nAnswer: -103b0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in twenty-nine halves of a millennium?\nAnswer: 145","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 3 - (560\/(-12))\/(-14)\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = 6*q - 3. Suppose -10 + 2 = -4*t. Suppose -4*m - 8 = -3*g + 5*g, -2*g - 3*m = 4. Calculate the smallest common multiple of f(t) and g.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k + 384 = 2*q, 2*k + 3 + 1 = 0. List the prime factors of q.\nAnswer: 2, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1443\/(-8177))\/((-4)\/(-34) + 0)?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*u + 5*j + 10 = 0, -3*j = u + 190 - 185 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/4 in 0.6, -1, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 405 divided by 5?\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 5*q + 0)*(8*q + 21*q + 2*q**2 - 8*q).\nAnswer: 10*q**3 + 105*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*s = -5*v, 25*s - 4*v - 4 = 20*s for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.1472 + 0.147196636. Round d to six dps.\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k - 9 = -0*z + 2*z, 2*z - 5*k + 5 = 0. Let h = -52 - -90. Let y = 41 - h. Which is the biggest value? (a) y (b) z (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) be the first derivative of -109 + 0*q**2 + 0*q + 65\/2*q**4 + 94\/3*q**3. What is the third derivative of s(b) wrt b?\nAnswer: 780","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = b - 2*i + 5, 2*i - 20 = 550*b - 552*b for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 5535 to the power of 1\/9, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) be the first derivative of p**6\/30 + 2*p**3 - 2. Let n(k) be the third derivative of c(k). Let z(g) = g**2. What is n(z(o))?\nAnswer: 12*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -372 - -309. Let a be (-84)\/x + -1 + -1. What is the closest to -21 in 2, -0.2, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.2 and -0.0165?\nAnswer: 0.0033","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = 188*c + 940. Determine o(-5).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 2152337142?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -78*q**3 - 2 + 48*q + 2 + 5362*q - 654*q**2 + 76*q**3 wrt q.\nAnswer: -12*q - 1308","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.6 in -1, -21861, -93?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 69397 (base 10) to base 11\nAnswer: 48159","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*n**(-27)\/n)\/((n\/(n*n**(-34\/3)*n))\/n)*(n\/(n*n**(-17)*n)*n*n)**(-2\/13) assuming n is positive.\nAnswer: n**(-1525\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -68 divided by -4\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1576 is divided by 25?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b\/(b*b**0*b))\/b)**(4\/21)*(b*((b\/(b*b\/b**2))\/b)\/b)**(1\/21) assuming b is positive.\nAnswer: b**(-8\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 23 and 40.\nAnswer: 920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -19*o - 1. Let u(j) = 149 + 3*j - 67 + j - 82. What is u(f(p))?\nAnswer: -76*p - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -15*d**2 + d + 3. Let j be k(-1). Is -12 at most j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -55181, -220678, -496509, -882674, -1379173, -1986006, -2703173?\n\"Answer: -55167*z**2 + 4*z - 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 216.9 * 0.01\nAnswer: 2.169","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -373 + 373.13. Is 22 greater than i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 27335517 to the nearest integer?\nAnswer: 5228","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: What is -1100011 (base 2) in base 15?\nAnswer: -69","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 774497?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.3, 5, 262, 1\/4.\nAnswer: 1\/4, 0.3, 5, 262","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 77 is divided by (40 - (-2 + 1)) + (-5 - -3)?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = 3*t**2 + 2*t + 3*t - 5 - 4*t**2. Let o be w(4). List the prime factors of (o\/(-1))\/((-1)\/(-9)).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 13, -2, -7, 4, 37, 98?\n\"Answer: v**3 - v**2 - 19*v + 32","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 848*k - 241*k - 306*k - 304*k.\nAnswer: -3*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o = -3*t + 6, 0 = o + 4*t - 9*t + 23. Let p be 4 - (12\/o - -8). Solve 5*c = -p*y + 3*y + 16, -3*c + 24 = 3*y for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2782.898 centuries in decades?\nAnswer: 27828.98","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 56189, 112422, 168717, 225074?\n\"Answer: 31*x**2 + 56140*x + 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w = 3*s + 2, 0*s - 19 = s + 5*w. Suppose -2*u = -2*p - 5*u - 8, -2*u = 4*p. Suppose j - 2*i = s, i + 5 = p*j - 7. Is 6 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -31*j**2 + 15*j**2 + 6 - 3 + 12*j**2.\nAnswer: -4*j**2 + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 26704 (base 10) to base 4.\nAnswer: 12201100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 + 5*p)*(-5 + 4 + 3).\nAnswer: 10*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -76, -148, -218, -286?\n\"Answer: f**2 - 75*f - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 59 = t - 115. What are the prime factors of t?\nAnswer: 2, 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -787 - -717.2. Let c = -82 - i. Let u = c - -12.20000294. What is u rounded to seven decimal places?\nAnswer: 0.0000029","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35 = 3*u + d - 2, -4*u + 53 = 5*d. Suppose 28*f = 21*f + 588. Calculate the greatest common factor of u and f.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = 25*c + 21. Give o(-5).\nAnswer: -104","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(114)\/sqrt(6) + -3 - sqrt(19)*1*4 - (-3*-1*sqrt(228))\/(2*(sqrt(12) - sqrt(48))).\nAnswer: -3*sqrt(19)\/2 - 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -3444*j + 57. Let w(f) = 144650*f - 2375. Calculate 125*o(n) + 3*w(n).\nAnswer: 3450*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (2*(-7)\/35)\/(-2). Let t(p) be the second derivative of 0 - 9*p - 4*p**2 + 0*p**4 + n*p**5 + 0*p**3. What is the derivative of t(q) wrt q?\nAnswer: 12*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.9 and -19792.8.\nAnswer: -17813.52","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*w - 4*l - 14, -5*w + 14 = l - 3*l. Suppose 2 = -w*z - 0. Let y(r) = -2*r**3 - r**2 - r - 1. Let x be y(z). Solve 5*g - 4*g - x = 0 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 128956 and 0.2?\nAnswer: 25791.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 87216663?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(110) - (5*4*sqrt(110) - sqrt(110)))\/sqrt(10).\nAnswer: -18*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 816157.7 centimeters to millimeters.\nAnswer: 8161577","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sum 2347 and -12095426718.\nAnswer: -12095424371","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -2*d**2 + 31922*d - 127656. What is u(4)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 20082 is divided by 94?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g*g**16*g*g\/((g\/(g**(-5\/8)\/g)*g)\/g))**48 assuming g is positive.\nAnswer: g**786","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*c**2 + 33*c**2 - 19*c**2 as x + o*c**2 + t*c and give o.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 54032?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.145 + -88.855. Let z = -153.5 + 245.5. Let o = z + u. What is the third smallest value in -3\/4, o, 2\/5?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -43*c - 32*c + 24*c - 4.\nAnswer: -51*c - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 687 minutes before 1:09 AM?\nAnswer: 1:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 11101101010101101000 (base 2) to base 4\nAnswer: 3231111220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 154 + 712. Let q = h - 864. Sort -1\/3, 3\/4, 3\/5, q.\nAnswer: -1\/3, 3\/5, 3\/4, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ahaa when four letters picked without replacement from {a: 12, h: 1, g: 3}.\nAnswer: 11\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + -2 + ((sqrt(1700) - (sqrt(1700) + sqrt(1700) + sqrt(1700)*-1)) + -4 - sqrt(1700)) + -4*(-3 + sqrt(1700) + -2))**2 + 3.\nAnswer: -1600*sqrt(17) + 42759","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*sqrt(4900))\/(sqrt(84)\/(sqrt(60)\/sqrt(5))))**2.\nAnswer: 6300","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a and 1 c when two letters picked without replacement from cdaaakcdaatad?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 718 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = 59*a - 16. Let b(s) = -30*s + 8. Let j(z) = 5*b(z) + 3*n(z). What is the units digit of j(4)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 16*3\/21*(-14)\/56\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*m**4 + 3*m**4 + m**4 + (3 - 4 + 3)*(-45*m**4 - 27*m**4 + 25*m**4) + (m**3 - m**3 - 3*m**3)*(2*m - 3*m + 3*m).\nAnswer: -99*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -400839904 + 4?\nAnswer: -400839900","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 363753837?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express 22*m + 248 + 26*m - 70*m - m**2 + 26*m as l + a*m**2 + s*m and give l.\nAnswer: 248","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uu when two letters picked without replacement from uauuuauauuuaa?\nAnswer: 14\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -4*k - 13. Let p(i) = -5*i - 13. Let m(b) = -6*l(b) + 5*p(b). Is m(0) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qqxviqqmiqqmqq. Give prob of picking 2 i and 1 v.\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from tbtbtttbtt. Give prob of sequence ttb.\nAnswer: 7\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -t**3 + 8*t**2 - t - 58. What is the least common multiple of ((-3)\/3)\/((-1)\/16) and j(6)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 2\/(-4) + 9\/18. Let j be (q - 0 - -3) + 1 + -2. Let g(o) = -3*o**2 + 4*o - 3. What is g(j)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -215.1 - -215. Let q = 178 - 66. Let n = q - 56. Is n < i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 46439 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 898?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.8391958 rounded to two decimal places?\nAnswer: -1.84","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 521963597.\nAnswer: 17, 30703741","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hh when two letters picked without replacement from jhjhhsh.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1357*r - 13*r**3 + 290*r + 4021*r + 657*r.\nAnswer: -13*r**3 + 6325*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*q - 26 + 6 = 0 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-58)\/(-319))\/(70\/15 + -4)*264\/48?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 1, 4, 2743.5629?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -30703340 or -30703347?\nAnswer: -30703340","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z + 7 - 1 = 0. Let g = z + 7. Suppose -g*p + 90 = p - 5*v, 4*p = 2*v + 80. Calculate the remainder when p is divided by 12.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 30, 43, 56, 63, 58, 35?\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 166099 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -18*m - 165. Let v be j(-14). Solve 9*w + 51 = v for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 587368803?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 275.4 times 5?\nAnswer: 1377","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -4 or -27\/8?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -29969*h. Let x(v) = v. Give n(x(w)).\nAnswer: -29969*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 m when three letters picked without replacement from {m: 3, k: 7}.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -22 - -82. Let d = 76 - q. Suppose -8*g = -8 - d. What is the highest common factor of 9 and g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*h - 4*p = -1, 3*h - 4*p - 12 = 5 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -3, -5, -58.\nAnswer: -58, -5, -3, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 12277 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 1, m: 1, h: 2, v: 3}. What is prob of picking 1 v and 1 h?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -319 - -648. Let h be (d + -18)\/((-1)\/2000). Round h to the nearest ten thousand.\nAnswer: -620000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -2*c**3 + 8*c**2 + 15*c + 172. Calculate v(11).\nAnswer: -1357","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -48 + 8 = -2*x. Let t = x - 16. Sort 2\/3, t, -5.\nAnswer: -5, 2\/3, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 304?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -63, -62, -61?\nAnswer: -60","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2761249 - 6711296 = -513*r. Is r a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 754515 to the nearest integer?\nAnswer: 869","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 182*t = 174*t + 116248. What is the thousands digit of t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qnnnlqqqqlnqqllq. What is prob of sequence nln?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -45*p - 334 - 71. Let r(m) = m**3 + 9*m**2 - 2*m - 5. Give r(p).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -148*g**2*v + 3*g**2 - 374*g*v + g - 1853 wrt v.\nAnswer: -148*g**2 - 374*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4\/(-90) - ((-3451340)\/26775 - -130).\nAnswer: -8\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*m + 5 - 5)*(1 - 3 + 0) + (-5 - 3 + 3)*(-4*m + 2*m + 3*m) - 2*m - 3*m - m.\nAnswer: -5*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (202*g + 153*g + 352*g + 393*g - 166*g)*(2*g**3 + g**2 - g**2) to the form z*g + k*g**3 + n + a*g**2 + o*g**4 and give o.\nAnswer: 1868","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z + 51 = 2*n, 0 = -4*z + 8*z - 2*n + 42. Let w be z\/15*(-1 + -4) - -1. Solve t - w = -0 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 227\/813120 and -95\/504.\nAnswer: 2439360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -9919*o - 19856. Give y(-2).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) be the first derivative of 3*o**4\/4 - 2*o**3\/3 - o**2\/2 + 2*o + 28. Let a(l) = -l**3 + l**2 - l - 1. Give -2*a(y) - n(y).\nAnswer: -y**3 + 3*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 5*((-3)\/5 + -1). Let c be ((-270)\/8)\/(2\/y). What is the greatest common divisor of 27 and c?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = 2513 - 2513 - 21*f. Let m(q) = 2*q**2. Calculate m(p(i)).\nAnswer: 882*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 4 - 1)*(c**4 - 2*c**3 + 2*c**3) + (-3*c + 2*c + 3*c)*(-3*c**3 - 2*c**3 + 0*c**3) + 2*c**4 - 4*c**4 + 0*c**4.\nAnswer: -11*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 795772513?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -215*u - 13 + 658. Solve u*v - 7*t = -8*t - 5, 0 = 4*v + 3*t for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = u**3 + 5*u**2 + 4*u - 5. Let j be o(-4). Let b(c) = 6*c + 33. Let y be b(j). Differentiate 27*d**3 - 33 - 4 + y*d**3 with respect to d.\nAnswer: 90*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 395*j = -25*j + 840 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nnnn when four letters picked without replacement from {n: 4, v: 6}?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 1271.3333541 plus 0.1?\nAnswer: 1271.4333541","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 4623 a factor of 1123434479?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -23*d - 336. Suppose 159 = 5*w + 3*h, 2*w + 0*h = 4*h + 74. What is the least common multiple of t(-15) and w?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:03 AM and 3:06 PM?\nAnswer: 663","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g = -0*g - 5*j + 36, 0 = 2*g - 3*j - 137. Calculate the remainder when g is divided by 31.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -a**3 + 13*a**2 - 7*a + 10. Let s be f(14). Let x = 2385 + s. Is x composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.4*-25\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3569 is divided by 1780?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 1*63339\nAnswer: 63339","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1829 or 1819?\nAnswer: 1819","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 34 - 65. Let i = z + 41. Determine m so that -i*m**2 - 4*m**5 - m**5 - 21*m**4 + m**4 - 16*m**3 - 9*m**3 = 0.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2.65 - -2.45. Let p = 8 - 5. Let g = -0.8 - -0.5. Sort 16, b, g, p in ascending order.\nAnswer: g, b, p, 16","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -r = r - 0*r + 101 - 95, -d = -2*r - 13 for d.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 428 is divided by 54?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 210\/27 - (-6)\/27. Suppose -4*v - m = 4*k - 0*k, 0 = -2*v - 3*k - 9. Is v a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 552395?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 16926603798 + 0.2895\nAnswer: 16926603798.2895","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 37\/17603460 and 11\/160?\nAnswer: 140827680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4123955 is divided by 2061957.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -h**2 - 11*h - 5. Let m be i(-10). Suppose 3*c + 5012 = m*c. Let z = 3627 - c. Is z composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((i*i*i**3)\/(i\/(i**(-1\/3)\/i)))\/(i**7*i\/i**(2\/9)))\/((i**1)**(-5)*i\/i**(-2)*i*(i\/(i**(-6)\/i))\/i) assuming i is positive.\nAnswer: i**(-100\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -90 = -2*x + 34. Suppose 5*d = -5*n + 15, -5*n + 27 - x = -5*d. Is (n\/4)\/(2\/(-140)) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.6328464 rounded to one dp?\nAnswer: 2.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:08 PM and 8:35 PM?\nAnswer: 327","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -k**2 - 6*k - 5. Calculate the lowest common multiple of i(-4) and 2 + (-6)\/(-5)*5.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-2\/3)*u*u)\/(u\/(u*u\/u**2))*u\/u**(-4)*u\/(u*u\/u**(-8))*u\/(u\/((u**(1\/2)*u)\/u)*u)*u\/(u*u**(-2\/3))*(u**2\/u)\/((u*u**(-2\/5)*u)\/u) assuming u is positive.\nAnswer: u**(-31\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:41 PM and 3:50 AM?\nAnswer: 669","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put 37, -10, 0.4, 33, -341\/2, 4 in increasing order.\nAnswer: -341\/2, -10, 0.4, 4, 33, 37","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -9855046*a**3 - 4093599*a wrt a?\nAnswer: -59130276*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2833065036 to the nearest integer?\nAnswer: 1415","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) be the second derivative of 3*d**5\/40 - 41*d**4\/16 + 10*d**3\/3 - 107*d**2 - 139*d. Let z(f) be the first derivative of r(f). Factor z(m).\nAnswer: (3*m - 40)*(3*m - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -332*n + 198*n + 5680 - 1660 for n.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*g**4 - 2*g**4 - g**4 + 3*g**4 - 2*g**4 + g**4 + (0*g**4 + 0*g**4 + g**4)*(-1 - 2 + 5) - 2*g**4 + g**4 + 0*g**4 - 4*g**4 + 2*g**4 - g**4.\nAnswer: g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 295 and 590?\nAnswer: 590","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -c**3 + 40*c**2 + 67*c + 67. Let y be h(27). Is (y - 1) + -7 - -2 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2325*s + 2350*s - 375 = 0 for s.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*d = 5*d + 3. Suppose -4*n - 105 = -d*s + 14, -4*s = 4*n - 112. Calculate the remainder when 98 is divided by s.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1025\/93 + 994\/93. Let i = 0.1 - -0.1. Let n = -0.07 + -6.93. What is the nearest to i in j, n, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5847929 = -4*a + 9343831. Let t be 19*5*(63446 + 6). Let x = a - t. Round x to the nearest one hundred thousand.\nAnswer: -2200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s**(-3\/4)*s*s**(-2\/65)*s assuming s is positive.\nAnswer: s**(317\/260)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -7204*t - 33062. Give n(-5).\nAnswer: 2958","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express (12*z + 10*z + 14*z)*(-2 - 2 + 3)*(-3 + 3 + 3) as r*z + x and give r.\nAnswer: -108","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 14 + -13. Let i(z) = 11*z + 2. Let h be i(t). Solve -3 = 2*x - h for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*l + 5928 = 16*l + 24*l. What is the remainder when 609 is divided by l?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 980946674.\nAnswer: 2, 7951, 61687","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) be the first derivative of z**2 - 7*z - 51. Let p(f) = -4*f + 10. Let i(a) = -a. Let l(o) = -i(o) + p(o). Let x(t) = 5*l(t) + 7*r(t). Give x(5).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) be the first derivative of -t**4\/4 + 17*t**3\/3 - 3*t**2\/2 + 35*t + 611. Give y(17).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 2, 4, -62, -15, 27.\nAnswer: -62, -15, -3, 2, 4, 27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 192.9 + -193.1. Sort v, 0.3, 3, -1\/2 in decreasing order.\nAnswer: 3, 0.3, v, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**(-3\/4)*i**(-1\/2))\/(i**(-1\/4))**(2\/3))**(-40) assuming i is positive.\nAnswer: i**(130\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -a**3 - 18*a**2 + 23*a - 9. What are the prime factors of i(-22)?\nAnswer: 7, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1070400 rounded to the nearest ten thousand?\nAnswer: -1070000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 429.07 + -0.7\nAnswer: 428.37","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3748, 7492, 11236, 14980, 18724, 22468?\nAnswer: 26212","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -1504, 5, -2, -1, 7 in descending order.\nAnswer: 7, 5, -1, -2, -1504","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(27)\/(sqrt(9) + (sqrt(9) - sqrt(9)*3) + sqrt(9) - sqrt(9)) - ((sqrt(300)*2 - sqrt(3)) + sqrt(3)).\nAnswer: -21*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -v + 4*j + 19, 0*v + 2*v + 4*j - 86 = 0. Suppose -3*c + v = -4*u, 7*c + 4*u = 2*c + 101. Solve -5*g = -2 + c, -l = 3*g + 8 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 552 minutes after 9:24 AM?\nAnswer: 6:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -p - 2. Let h be z(-3). Is (h + 2 - 12)*-1 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p = -1 + 7, 3*d - 12 = p. Suppose -d*o + 2*o + 10 = 0. What is the third derivative of 10*k**5 - o*k**5 - 2*k**6 + k**2 wrt k?\nAnswer: -240*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.4*-638.35\nAnswer: -255.34","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.196 - -0.136. Which is the closest to 1\/4? (a) s (b) 4 (c) -2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) be the first derivative of i**2\/2 - 13. Let j(q) = -14*q**2 - 11*q - 8. Let t(c) = 2*j(c) + 22*l(c). What is the derivative of t(z) wrt z?\nAnswer: -56*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1541*w**2*z + 6*w*z + 6*w - z wrt w.\nAnswer: -3082*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in one quarter of a kilometer?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) be the first derivative of 0*c**3 - 3\/5*c**5 + 0*c**2 + 0*c + 1\/4*c**4 - 2\/3*c**6 - 4. Factor t(j).\nAnswer: -j**3*(j + 1)*(4*j - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 j and 1 f when four letters picked without replacement from {f: 6, j: 13}?\nAnswer: 143\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -102, 2679 in descending order.\nAnswer: 2679, -4, -102","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Product of 15.42 and 5.02.\nAnswer: 77.4084","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -247 - ((-1)\/2 + (-54)\/36). Let t = f + 245. Solve t*b = -b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -57 - -118. Let m = 834.2 - 920. Let b = m + f. Round b to 0 decimal places.\nAnswer: -25","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 195 divide 51294349?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (724 + 445 - 57)*(0*g + 0*g - 2*g) to x + p*g and give x.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**1)**6*(z**(-2\/3)\/z)\/z**(-2\/13))\/(((z**(-2\/3)\/z)\/z)\/z**(-8))**(-1\/29) assuming z is positive.\nAnswer: z**(1761\/377)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 10, -1, 2, 1, -4.\nAnswer: -4, -1, 1, 2, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 1, j: 4, i: 3, a: 5}. Give prob of sequence ai.\nAnswer: 5\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 53800 to the nearest 10000.\nAnswer: 50000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 5\/(1 + 1 - 1). Let g = 10 - 11. Let d be g*(2 + 2)\/(-4). Solve 0 = -4*r - 5*s + 2*s - d, -r + x = -s for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 a and 2 z when four letters picked without replacement from {q: 4, z: 4, a: 2, i: 1}.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = 4*k - 4. Let q(y) = -3*y**3 + y + 0*y**3 + 5*y**3 - 5 - 3*y**2 + 2*y. Let i be q(2). What is j(i)?\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -5 - -8. Suppose -2*c = 6, -c - 9 = -5*o - b*c. Suppose 24 = 26*z - 14*z. Solve -o*h - 5 = z*h for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -466 + 2048. Let a = f + -15877\/10. Calculate the common denominator of a and -59\/9.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 664 minutes before 3:53 AM?\nAnswer: 4:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 533.7692 millennia in decades?\nAnswer: 53376.92","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 88811 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: Expand (-7*z**2 - 4*z**2 + 5*z**2)*((-4*z + z + 0*z)*(-z - 2*z + z) + 24*z**2 - 44 - 48*z**2 + 23*z**2).\nAnswer: -30*z**4 + 264*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -3 + 2.8. Let v = 76.1 - 527.1. Let m = 450.6 + v. What is the third biggest value in 1.1, m, r?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) be the first derivative of 4*a**5\/5 - 8*a**3\/3 + 4*a - 7. Let k(o) = 0. What is o?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 (base 8) in base 7?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-18)\/(-99) - (-17)\/(-33))*75\/(-50). What is the second smallest value in -3, 23, o, -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 5, n: 4, l: 5}. What is prob of sequence nnnb?\nAnswer: 5\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -2\/5 (b) 2\/7 (c) -2 (d) -5.9 (e) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -75 + (-58 - -30) + 130.\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 3 and 2475.\nAnswer: 2475","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor -d**2\/4 - d\/2 + 2.\nAnswer: -(d - 2)*(d + 4)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-302)\/4)\/((-1)\/2*-4) - (-2130)\/(-8520).\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(-1*sqrt(136) - sqrt(136))\/sqrt(8).\nAnswer: -4*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b + b = 5*a - 47, 4*a = -4*b - 52. Let r = 9 + b. Let u = r + 8. Is u composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1087326?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -105*r + 367806 - 371376 = 0 for r.\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -37*o = 33*o - 5*o - 9*o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 127\/792 and -29\/8514.\nAnswer: 34056","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*h + 5*g + 162, 5*h - 5*g - 254 = -2*g. What is the remainder when h is divided by 13?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -2*q, 3*s + 2 + 16 = 3*q. Let k(p) = -2*p. Let v(t) = -7*t + 2. Let f(j) = -3*k(j) + v(j). Let u(z) = 1 + 0 + 0. Determine s*f(g) + 4*u(g).\nAnswer: 2*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -10*i. Let w(j) = -8720*j**2 - 544*j - 14416. Let f(c) = -160*c**2 - 10*c - 265. Let l(q) = 272*f(q) - 5*w(q). Give p(l(o)).\nAnswer: -800*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t - 1540 = 312. Let l = 669 + t. What are the prime factors of l?\nAnswer: 2, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k - 12 + 0 = 0, 2*k = -5*l + 19. Let u = 1 + l. Suppose -2737 + 565 = -u*q. What is q rounded to the nearest ten?\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r - 44 = -3*u, 4*r + 11 = 2*u - 19. What is the lowest common multiple of 7 and u?\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + sqrt(80) - sqrt(5))**2 + (sqrt(175)\/sqrt(5))\/sqrt(7).\nAnswer: -17*sqrt(5) + 54","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t*t\/t**(-15))\/t)\/((t**(-11)*t)\/t*t) assuming t is positive.\nAnswer: t**26","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 0.3, -43, -1, 3\/4.\nAnswer: -43, -2, -1, 0.3, 3\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from suxssjnxrxr. Give prob of sequence sxsr.\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-j**5 + 2 - 2)*((0 + 0 + 1)*(-4 + 5 + 0) - 1 + 2 - 2 + 208 - 76 + 85 - 2 - 1 + 2 + (0 + 0 + 2)*(1 - 3 + 4) + 1 + 2 - 5 - 1 + 0 + 3).\nAnswer: -220*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1, -192, 319066, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -44 + 46. Solve 3 = h*w + 1 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 97, -5, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 18 and 180?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 25249 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(704)*1 + sqrt(704) + 3 + 5)*2)**2*6.\nAnswer: 6144*sqrt(11) + 69120","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: ((-7020)\/(-216)*8\/(-180)*-5)\/(2\/(-3))\nAnswer: -65\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 30*(-6)\/(-16)*(-48)\/(-36). Calculate the greatest common divisor of 24 and c.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.7 greater than -245?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.4 * -2010.\nAnswer: 804","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 540240 and 40.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 205 divide 393190?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -26445 - -26?\nAnswer: -26416","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34*l - 271092 = -42*l. What is the hundreds digit of l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 136960750 a multiple of 4149?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(2736)*3)**2.\nAnswer: 98496","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -12.60936 - -5.60936. Let l = 0.3 - 0.4. Let s = l + 0.4. What is the nearest to 0.1 in s, 0, p?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 16 and 512.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Determine d so that 3*d**3 - 180*d**2 + 1581*d + 1764 = 0.\nAnswer: -1, 12, 49","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 - (-25 + 12)) + 3 + 5?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*j - 2*j + 0*j)*(-j**2 + j**3 + j**2) - 27*j**3 + 0*j**4 + 2*j**2 - j**4 + 35*j**3.\nAnswer: j**4 + 8*j**3 + 2*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u*u**15)\/(u*u*u**(-17)\/u*u)*(u\/u**15)\/(u*u\/(u*u**(2\/3)*u*u)) assuming u is positive.\nAnswer: u**(56\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 0 + 4\/(-6)*-3. Suppose l - 16 = -g, g = 2*l + w*l - 39. Let b = l + 16. What are the prime factors of b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + -4 + 5 - 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s + 1864 = -0*s. Suppose -317 - s = -3*a. What is the hundreds digit of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (756436 + -4)\/6 - -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 -10*m**4 - 14*m**4 + 64 + 21*m**4 wrt m.\nAnswer: -12*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -25962 + -7\nAnswer: -25969","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = 1 - 20*i + 44*i - 23*i. Let w be v(3). Which is the biggest value? (a) -2\/9 (b) -2\/5 (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = 41*g + 3. Let r(y) = 82*y + 7. Let k(j) = -j**3 + 2*j**2 + 60*j + 20. Let q be k(9). Determine q*o(i) + 3*r(i).\nAnswer: -41*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 greater than or equal to 65\/6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put -53, 0, 5, 31330 in decreasing order.\nAnswer: 31330, 5, 0, -53","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -57 + 73. Suppose 5*f = g - 3*g - 117, 0 = 4*g - v. Let p = 33 + f. What is the units digit of p?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = 151*r**2 - 53*r - 7. Let v(c) = 50*c**2 - 18*c - 2. Let f(u) = 2*m(u) - 7*v(u). What is the second derivative of f(q) wrt q?\nAnswer: -96","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 81, 593, 1985, 4695, 9161?\n\"Answer: 73*p**3 + 2*p**2 - 5*p + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = 7*q**3 + 1383*q**2 + 793*q + 99. Calculate i(-197).\nAnswer: -886","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 192257?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 21 + -15. Let s = i + -3. Let g(f) = 3*f - 4. What are the prime factors of g(s)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14*n - 3 + 3*n + 3.\nAnswer: 17*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -146*k**2 - 715*k**2 + 330*k**2 - 284*k**2.\nAnswer: -815*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2589 - 2594. Sort 2\/3, -2\/35, i in increasing order.\nAnswer: i, -2\/35, 2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -197520868 and -0.02278.\nAnswer: -197520868.02278","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.4 in 0, -12, 3\/7?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:26 PM and 1:46 AM?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 790820 and 720.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (9 + 9 + -8 - 10) + -7 + -1?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 30 and 444?\nAnswer: 2220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jpj when three letters picked without replacement from {p: 2, j: 2, n: 1}?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 425, 426, 427, 428?\n\"Answer: x + 424","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4 by -2.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -2 + -168555?\nAnswer: -168557","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 28504265?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + -2*(0 + 2*-1*sqrt(44) + 1)*2.\nAnswer: -1 + 16*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -19*r**2 + 14*r**2 + 8*r**2. Let s(m) = 4*m**2 - 3*m - 3. Let d(x) = 3*x**2 - 2*x - 2. Let w(t) = 6*d(t) - 4*s(t). Determine w(q(n)).\nAnswer: 18*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 29*q - 139526 + 9055. Is q a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -5*w - 25. Let b be g(-4). Put -1, 0, b, -3 in descending order.\nAnswer: 0, -1, -3, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 241 is divided by 50.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -7 - -11. Let d = 3.2 - i. Let v = -13411 + 13411. What is the nearest to v in -6\/7, d, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -3 + -1010?\nAnswer: -1013","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x - 13 = -4. Let c be (0 - x)\/((-8)\/(48\/(-99))). Let 10\/11*s**3 + 8\/11 - 2\/11*s**4 + 2\/11*s**2 - c*s**5 - 16\/11*s = 0. What is s?\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 112*a**2*n**3 - 3*a*n**2 - 3*a*n - 7*n**3 wrt a?\nAnswer: 224*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -r**3 + 14*r**2 + 18*r - 17. Suppose 0 = 15*s - 15 - 210. Let z be c(s). Put z, -1\/6, -5 in decreasing order.\nAnswer: z, -1\/6, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3628706?\nAnswer: 2, 163, 11131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -5*g + 20. Let x = -6574 - -6578. Let t(i) = 4*i - 19. What is x*t(s) + 3*y(s)?\nAnswer: s - 16","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -50 = -5*v + 5. Calculate the lowest common multiple of v and 1.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p - 33 = -2*p. Suppose -h = 4, -6*n - 3*h - 3 = -3*n. Suppose -4*k - 4 = -12. Solve n*r + k = p for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1131221 - -11?\nAnswer: 1131232","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -w**3 - 4*w**2 - w + 9. Let m be f(-4). What is the highest common divisor of 26 and m?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the seventh biggest value? (a) -763 (b) -2\/3 (c) 0.18 (d) -7 (e) 6\/5 (f) 0.3 (g) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - b - 3)*(891*b - 891*b + 150*b**4).\nAnswer: -150*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:21 PM and 7:21 PM?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 502951117 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = 5*l + 2. Let w(f) = 5*f - 15 - 11*f + 6 + 7. Determine -7*h(j) - 6*w(j).\nAnswer: j - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q*(q*q**(-3)\/q*q)\/q)\/q*q*q\/q**(-25))\/((q*q**3)\/q*q)**(-1\/21) assuming q is positive.\nAnswer: q**(508\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 t and 2 r when four letters picked without replacement from {r: 7, t: 2}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = 15*u**4 + 7*u**3 - 3*u**2 - 3*u - 50. Let k(o) = o**4 - o**2 - o - 1. Let i(b) = a(b) - 3*k(b). What is the first derivative of i(c) wrt c?\nAnswer: 48*c**3 + 21*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 46*s**2*x**2*z + 5*s**2*x*z**2 + 3048*s*x**2*z**3 + s*x*z**3 - s*x*z**2 + 9*s*x - 8*s*z**2 + 29*x*z**3 wrt x?\nAnswer: 92*s**2*z + 6096*s*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Determine r so that r**3\/2 - 147*r**2 + 7470*r + 523564 = 0.\nAnswer: -38, 166","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*((6*(4 + sqrt(243))*5)**2 + -1).\nAnswer: 129600*sqrt(3) + 466198","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28 = -c + 3*c - 5*r, -r = 3*c - 8. Put -0.1, c, 2\/3, -2 in descending order.\nAnswer: c, 2\/3, -0.1, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y - 14 = -29. Suppose y*r + 12 = 3*q, -r + 0*r + 4 = 3*q. Let j = -5 + 7. Is j < q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -67*r - 3*o = -69*r + 18, 4*o = 4*r - 32 for r.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 475.8311 seconds?\nAnswer: 475831.1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.05646501 rounded to two dps?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -460, -369, -90, 377?\n\"Answer: 94*h**2 - 191*h - 363","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -563828908, -563828904, -563828898, -563828890?\nAnswer: -563828880","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 48 = 49?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*y - 5*a - 11 = 10, -3*y - 2*a = 0 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -4, -5, 1.81, 0, -1\/7, -6 in decreasing order.\nAnswer: 1.81, 1, 0, -1\/7, -4, -5, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 1\/3, 45, -3, 0.08?\nAnswer: 0.08","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 27 - 27. Let q be (-2 - -1)\/(4\/(-8)). Suppose k - 5 = -3*m - k, -3 = -q*m - k. Which is smaller: n or m?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -889504 divided by 608?\nAnswer: -1463","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -18475265\/788676 - 139\/9389. Let r = h + 263\/21. Let l = 1975\/318 + -7\/159. Find the common denominator of l and r.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/7, -0.2, -87, -0.9 in ascending order.\nAnswer: -87, -0.9, -2\/7, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) be the second derivative of -331*g**4 - 9681*g**2\/2 + 2*g + 7383. Differentiate l(y) wrt y.\nAnswer: -7944*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t = -0 + 4. What is the second derivative of -v + v**4 - v**t + 0*v**4 - 3*v**4 wrt v?\nAnswer: -36*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.02993 + 0.08417461232.\nAnswer: 0.05424461232","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -8*w + 12. Let p be g(6). Calculate the smallest common multiple of 8 and (-3)\/(6\/4) + p\/(-6).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -96 + 97. Which is the second biggest value? (a) 1\/9 (b) t (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -75 (base 9) to base 4.\nAnswer: -1010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -23 + 11. Let u = l + 26. Suppose -5*v = -2*v - 4*n + 4, 0 = 5*v - 4*n - 4. Solve -2*o + u = v for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 45646618151 + 0.4\nAnswer: 45646618151.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -493.6 + 490.6. Which is the nearest to -0.2? (a) 124 (b) s (c) 1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*k + t + 194, -5 - 3 = 3*k - 5*t + 114 for k.\nAnswer: -39","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -27.086 + 7.03. Round b to the nearest 10.\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5200000 rounded to the nearest 1000000?\nAnswer: 5000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 11472*a*d**3*o**2 + 2*a*d**2*o**2 - a*d**2*o - 21*a*d**2 + 4*a*d + 2*d**3*o - 907*d + o**2 wrt o.\nAnswer: 22944*a*d**3 + 4*a*d**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -a**2 - 3*a + 4. Let t be l(-4). Suppose t*m - p = m - 19, 5*p = -m + 27. What is the units digit of m?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -3*q. Suppose 0*j + 55 = -5*j. Let p(g) = -112*g - 49. Let h be p(j). Let t(r) = h*r - 1158*r - 4 + 4. Determine t(i(b)).\nAnswer: -75*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -l + 11*l + 35. Let d(t) = -t. Let a be d(-3). Sort -15, l, a in ascending order.\nAnswer: -15, l, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -4 or -206?\nAnswer: -206","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 2, o: 1}. Give prob of sequence oxx.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1240*g - 15515 = -f - 1241*g, f + 5*g - 15495 = 0. Is f a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:26 PM and 5:03 AM?\nAnswer: 697","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 605280 rounded to the nearest 1000?\nAnswer: 605000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = 3*f - 7. Suppose 0 = 3*s, -l - 11*s - 4 = -8*s. Let y(t) = -t + 2. Calculate l*q(j) - 11*y(j).\nAnswer: -j + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is -78\/233507 at most as big as -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.061 - -0.104. Let d = 0.057 + u. What is the smallest value in d, 2, -4\/7?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 12\/28 - (-805456)\/336*3. Calculate the highest common divisor of c and 1624.\nAnswer: 232","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*i + 3*q = 23, -1011 = -5*i + 3*q - 989 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -6, 3211121, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 161660095 to the power of 1\/4, to the nearest integer?\nAnswer: 113","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l and 2 s when three letters picked without replacement from {l: 9, s: 9}?\nAnswer: 27\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = a - 21. What is i(10)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b = d - 20, 488*b = 491*b - 3*d + 24. Let t(v) = 7*v - 21. Calculate t(b).\nAnswer: -63","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.2, 4\/3, 7\/4?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 6 + 3)*((6*d - 6*d - 2*d)*(0*d**2 - d**2 + 2*d**2) - 2*d**3 - 3 + 3) + (0*d**2 - d**2 - 6*d**2)*(-d + 1 - 1).\nAnswer: 11*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 213 - 0.07.\nAnswer: 212.93","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w + 5*p = 25, 39 = w + 2*p + 31. Solve -7*d + 3*y = -3*d + 17, -w*d + 4*y = 6 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 63530260 and 25412104?\nAnswer: 127060520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 611 is divided by 39.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 140819 is divided by 132.\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 38876*v - 38864*v - 468 = 0. Put 0, v, -1 in descending order.\nAnswer: v, 0, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = k**3 + 12*k**2 - k - 32. Let y be i(-12). Let t be (45\/y)\/((-6)\/(-32)). What is the units digit of t\/(2 + (-285)\/138)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 14\/18*12\/14?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 534477 is divided by 40?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 4011 and 238119?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -235321 + -30?\nAnswer: -235351","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -u**3 + 3*u**2 - 2. Let i be k(2). Let t = i - -3. Find the second derivative of -12*y**t - 5*y - y + 8*y**5 wrt y.\nAnswer: -80*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/9 in 0.2, 0.01, 0.5?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3269285 - -3269262.00021. Let n = 23 + x. Round n to 4 decimal places.\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -27 - -73. Calculate the remainder when 178 is divided by a.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -111759 < 0.2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = 6*a**3 + 4*a - 1. Let s be (-4)\/(-26) - 54\/13. Let f be 1 + s\/8*(0 + 0). Let r(t) = -t**3 - t + 1. Calculate f*g(d) + 3*r(d).\nAnswer: 3*d**3 + d + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 4 in -14, 3\/5, 5\/113?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -7\/320307 and -25\/49278.\nAnswer: 640614","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -14*x + 26. Let y(w) = -6*w + 9. Let g(s) = 3*f(s) - 8*y(s). Suppose 0 = 3*h + 2*h - 5. Calculate the smallest common multiple of g(h) and 6.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:45 AM and 3:23 AM?\nAnswer: 38","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ydaa. What is prob of sequence yaa?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = i**3 - 8*i**2 + 3*i - 6. Let y = 60 + -65. Let h be (-120)\/y*(-1)\/(-3). What is the units digit of v(h)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*y**3 - 73 - 18551*y + 18551*y to q*y + g + k*y**2 + r*y**3 and give g.\nAnswer: -73","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 12 and 34796?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 52960?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -38*j**6 - 420*j**5 - 28106*j**2 wrt j.\nAnswer: -4560*j**3 - 25200*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from fnuyfunnsyhun. Give prob of sequence huuy.\nAnswer: 1\/1430","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (5292\/30)\/(4\/10)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -335494*p**5 + 241*p + 945 wrt p?\nAnswer: -6709880*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express (3 - 2 + 0)*(-1684 - 4573*c + 1972 + 4584*c) as v*c + j and give v.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 3 + 4. Let l(x) be the first derivative of x**4\/12 - 7*x**3\/6 - 5*x**2\/2 + 18*x + 2. Let a(y) be the first derivative of l(y). What is a(c)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -129 + 1163\/9. Let y be (0 + 3 + -2)*1. Which is smaller: y or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1584, -1585, -1586?\nAnswer: -1587","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of v*x - 406031132*v - 359706454*x wrt v?\nAnswer: x - 406031132","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 71 + 2\/(-4)*6.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ssdd when four letters picked without replacement from {s: 7, d: 4, e: 3, u: 4, i: 1}.\nAnswer: 7\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3899571*h**3 + 2118305*h**2?\nAnswer: 23397426","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -p**2 + 51*p*r**2 - 74*r**2 + 23*r with respect to p.\nAnswer: -2*p + 51*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -153 - -162. Put -6, -2, q, 1 in decreasing order.\nAnswer: q, 1, -2, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 9 - 8. Suppose -2*w = 3*w. Suppose 3*n - 10 + g = w. What is the units digit of n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qyzi when four letters picked without replacement from qqzcykyi?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8735176880?\nAnswer: 2, 5, 109189711","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000797675895 to 5 dps.\nAnswer: 0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 2874575 a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + (sqrt(242) - (-1 + sqrt(242))) + sqrt(242) + 1)**2.\nAnswer: 110*sqrt(2) + 267","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = k**2 + 9*k + 13. Let b be j(-6). Let p be (3\/b)\/(2\/(-10)). Suppose 0 = -p*r + 8 + 7. Solve -3 - 7 = r*l for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -936 by -2.\nAnswer: 468","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 77.4301 nanograms in micrograms?\nAnswer: 0.0774301","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 5019.3 * -0.08\nAnswer: -401.544","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (16*o - 101*o - 16*o)*(o**2 - 4*o - 1 + 4*o).\nAnswer: -101*o**3 + 101*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 - (7 - ((-1 - -15) + -30) - (3 - -9)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -83*n + 10. What is the units digit of z(-3)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3\/4? (a) -295\/129 (b) -1 (c) -0.1 (d) -2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -61 + -62186?\nAnswer: -62247","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -55465 + -6073?\nAnswer: -62548","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 2121631 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 10891\/1164 + -53\/194. Suppose 288 = -5*o - 582. Calculate the common denominator of 4\/14 - o\/28 and b.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 31302030 - 11?\nAnswer: 31302013","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2722*a + 152968 = -640*a + 21850 for a.\nAnswer: -39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-28)\/(112\/18))\/(10\/10)?\nAnswer: -9\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ynnfnyn. Give prob of sequence nyyf.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -5438\/143 + -504\/11. Which is bigger: -84 or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 715 minutes after 2:41 AM?\nAnswer: 2:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 43 divide 504?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1 - -8. Calculate the greatest common factor of 1 and d.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = 104 - 108 + 3*d + 6*d**2 - 3*d. Let c(s) = 2*s. Determine c(l(v)).\nAnswer: 12*v**2 - 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 - (-95 - (-47 + 9 + 15)).\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -n**3 + 3*n**2 - 1. Let a be q(2). Suppose 0*l - 3*l = -a. Put -2, 4, l in decreasing order.\nAnswer: 4, l, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l + 16 = -3*m, 0*m - 3*l - 12 = m. Suppose 4*p - 1455 - 753 = m. What is the units digit of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -135.60809 rounded to zero decimal places?\nAnswer: -136","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -126261230*p**4 - 343188*p - 13 wrt p.\nAnswer: -1515134760*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.5 (b) 11\/5 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) be the third derivative of m**5\/30 + m**3\/3 - m**2. Let p(n) = 9210*n - 4608*n - 4600*n. Determine p(y(c)).\nAnswer: 4*c**2 + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is five eighths of a litre in millilitres?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 517816, 517891, 518018, 518221, 518524?\nAnswer: 518951","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 22627463 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.3211611 and -3?\nAnswer: 3.3211611","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 - (14 + 11 + -28) - 9?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27 = j - 0*j. Let d be (-493)\/9 - 6\/j. Let u = -35 - d. What is the tens digit of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -6 + 6 - i**2 + 3*i**4 + (1 - 1 - 2*i**2)*(3*i**2 - i**2 - 3*i**2).\nAnswer: 5*i**4 - i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p + 88 = -0*l - 2*l, 106 = 2*p + 4*l. Suppose -549 = -4*h + p. What is the hundreds digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*4*(-4 + 2*sqrt(1900) - (sqrt(1900) - (-1 + sqrt(1900)*-1 + sqrt(1900)) - sqrt(1900)))*2*2)**2.\nAnswer: -819200*sqrt(19) + 31232000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = 11*u. Let h(m) = -m**2 - 4*m + 7. Let z be h(-5). Let t(a) = -15*a. Let b(c) = z*t(c) + 3*f(c). Let d(s) = -27*s**2. What is d(b(y))?\nAnswer: -243*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of l*p**5 + 73*l*p**4 + l*p**2 + 3*l*p + p**5 - 33*p**2 - 1 wrt p.\nAnswer: 60*l*p**2 + 1752*l*p + 60*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) be the second derivative of -2*g**7\/105 - g**4\/12 + g**2 + 4*g. Let l(u) be the first derivative of k(u). What is the second derivative of l(j) wrt j?\nAnswer: -48*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -1\/3, 0.06, -1\/14, -0.1?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -m**3 - 2. Suppose -2*k - 2*k + 9 = -t, k + 5*t + 3 = 0. Suppose -f + 2*f + 5*g = -27, k*f - 5*g - 21 = 0. Determine z(f).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) be the first derivative of z**3\/6 - 3*z**2\/2 + 86*z + 39. Let x(d) be the first derivative of j(d). Calculate x(3).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 47915459*m**3 + 132404*m + 190 wrt m?\nAnswer: 287492754*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 96265 is divided by 75644?\nAnswer: 20621","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + ((-6*(-5*(-1 + sqrt(5)) + sqrt(125) + 0))**2 + ((sqrt(5) + -1)*-6 + -6*2*sqrt(5))*-5)*4.\nAnswer: 360*sqrt(5) + 3476","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -n**3 - 3*n**2 - 11*n + 22. Let r be f(0). Solve r = -q + 26 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 33990065593 plus -0.3?\nAnswer: 33990065592.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 635.3613l in millilitres?\nAnswer: 635361.3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 8 - 4. Let r = x + 2. What is the units digit of r?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -43*d - 17 = -60*d for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -91 + 1011. List the prime factors of k.\nAnswer: 2, 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l + 65 = 5*j, 2*l = -j + 7 + 19. Suppose -4*k = -j + 4. Suppose 2 = 2*r + 2*u, -3*r + 4*r + k*u = -1. What are the prime factors of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -2940*f**2 + 6*f + 170. Let q(m) = 5879*m**2 - 15*m - 339. Let p(b) = 5*a(b) + 2*q(b). What is the first derivative of p(u) wrt u?\nAnswer: -5884*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 1\/4, -120846, -3\/16?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 53315098.\nAnswer: 2, 43, 61, 10163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put together -6862.054 and -0.04.\nAnswer: -6862.094","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Product of -5 and 5825.\nAnswer: -29125","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-2)\/26*(-11349)\/4365. Let n = 3.4 - 0.4. What is the closest to 2\/13 in m, n, 1, -6?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 n when two letters picked without replacement from {n: 2, h: 6}.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -55*z + 51*z + 8. Let d(h) be the first derivative of -2*h**3\/3 + h**2 - h - 1. Calculate d(z).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3571.83 rounded to the nearest one hundred?\nAnswer: -3600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -6*c**3 - c**2 - c + 26689. Is k(0) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = 8*b**3 - 4*b**2 - b + 1. Let y be x(3). Suppose -y - 32 = -5*f. Suppose -3*r = -w + f, 5*r - 84 + 1 = -4*w. List the prime factors of w.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 8 - 3. Suppose 4*z - 81 = -y*o, 7 = z - o - 2. Calculate the smallest common multiple of 10 and z.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1265 is divided by 106?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-2)\/(-6) + 740\/12. Let d = -41 + h. Calculate the remainder when d is divided by 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (44\/48)\/(-11)*(-138)\/(-92).\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 107440?\nAnswer: 2, 5, 17, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 957?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 594 and 54.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -243 - -293. Calculate the remainder when 137 is divided by k.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -2, -2, 12, 46, 106, 198, 328?\n\"Answer: q**3 + q**2 - 10*q + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 291946391?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*q - 1 + 0*q + q + 1.\nAnswer: 9*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*u - 256 = -226 for u.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1537d (base 14) to base 10.\nAnswer: 52835","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 279 and 1116?\nAnswer: 1116","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 12b - 15d0a?\nAnswer: -15bbd","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 0.203 * 0.2389\nAnswer: 0.0484967","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.205171 micrometers in kilometers?\nAnswer: 0.000000003205171","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide -2*(157\/1)\/(4 - 6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 + (2 - (3 + -1) - 8)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7\/4*a**4 - 2 + 23\/2*a**2 + 3*a + 33\/4*a**3 = 0. What is a?\nAnswer: -2, -1, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4140690, -4140688, -4140686, -4140684?\nAnswer: -4140682","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -c**2 + 2*c - 2. Let k be -6 + 0\/(-2) + 2. Let r be (-1)\/k - (-35)\/20. Give f(r).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 34826535276.391 and 21?\nAnswer: 34826535255.391","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 179 - 3. Suppose 0 = -25*x + 29*x - u. What is the greatest common divisor of 44 and x?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -p**3 - 11*p**2 - 57*p - 206. Determine w(-7).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -56, 44, 130, 196, 236, 244, 214, 140?\n\"Answer: -o**3 - o**2 + 110*o - 164","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -790478 (base 11) to base 3\nAnswer: -2100222222101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-70 + 73 - 8*q - 9*q)*(-16*q - 3*q + q)*(-19*q**2 - 2*q + 20*q**2 + 4*q).\nAnswer: 306*q**4 + 558*q**3 - 108*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -30 and 67\/1286.\nAnswer: 1286","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -g - 9. Let z be s(-14). Suppose -z*b = 0, 0 = a - 3*b + 3 - 11. Suppose -a*r + 137 = -119. Is r a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -20 - -25. Solve 0 = -n*l + 2*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor a**2\/11 + 5399341*a\/11 - 10798686\/11.\nAnswer: (a - 2)*(a + 5399343)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put 284, -1, 4, -315, -3, -37, -2 in increasing order.\nAnswer: -315, -37, -3, -2, -1, 4, 284","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*sqrt(242))**2 + 5 + -4*sqrt(2).\nAnswer: -4*sqrt(2) + 2183","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6\/(-240)*-10*16\/22?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 10 (b) -0.1 (c) -5\/6 (d) -5 (e) 0.002 (f) -11\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 43315 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -253\/372 - -40\/93. Which is the nearest to l? (a) -33.3 (b) 0.1 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 51\/2 of a hour in seconds?\nAnswer: 91800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 186 minutes after 10:52 AM?\nAnswer: 1:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:33 PM and 6:32 AM?\nAnswer: 539","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -3 + -20702?\nAnswer: -20705","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10 + 7 - 2*b**2 - 10 - 7.\nAnswer: -2*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -8.6 - -5.72. Let v = f + 3.18. Put v, 9\/2, 3 in descending order.\nAnswer: 9\/2, 3, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (x - 2*x + 0*x)*(0 + 7 - 3 + 1 - 5 + 2 + (0 + 2 - 3)*(-1 + 4 - 2))*(-1 + 3 - 4).\nAnswer: 2*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b = 0, 2*h = 2*b - 0*b + 4. Suppose h = x - 12. What is the tens digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 9112761 to the nearest integer?\nAnswer: 209","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of m*o - 202567409*m + 88906*o - 325 wrt m.\nAnswer: o - 202567409","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 607 minutes after 1:58 PM?\nAnswer: 12:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -r + 2*s + 2, 2*s = 2. Solve h + 18 = 2*p - 4*h, 2*h = -r*p + 16 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -k**3 - 11*k**2 + 12*k - 11. Let f(d) = d**2 - 1. Let c(p) = -2*f(p) - t(p). Does 15 divide c(-10)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2\/54181 - 3955273\/1625430. Calculate the common denominator of k and -5\/12.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 + 1 + -2 + (6 - 8).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 4 + 0)*(49*p**5 + 891 - 895 + 54*p**5).\nAnswer: -309*p**5 + 12","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -q + 34. Let a be d(32). What is the greatest common factor of 98 and a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*b - 7*b + 1214 - 1214.\nAnswer: -5*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Work out 37111552 * -1.\nAnswer: -37111552","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:00 AM and 3:02 PM?\nAnswer: 482","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 511.636032 - 504.636. Let b = -8 - -1. Let t = m + b. What is t rounded to 5 decimal places?\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k = -6*k + 30. Suppose k + 15 = j. What is the greatest common divisor of 18 and j?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 149\/30 and -61\/6957?\nAnswer: 69570","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = 4*g**2 - 2*g. Let f(v) = 3*v**2 - v. Let t = -724 - -722. Calculate t*f(o) + 3*b(o).\nAnswer: 6*o**2 - 4*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 1965, 3967, 5985, 8019, 10069, 12135?\n\"Answer: 8*o**2 + 1978*o - 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a = -5*t + 15 - 43, -2*t = -5*a + 28. Calculate the greatest common factor of 36 and a.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -b**2 + 16*b + 22. Let h be k(17). Sort -2, h, -4 in increasing order.\nAnswer: -4, -2, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -197.6 and 0.1.\nAnswer: -19.76","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put -6, 1862811, 0.06 in decreasing order.\nAnswer: 1862811, 0.06, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -216 (b) 0.3 (c) -2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*q - 11 - 13. Solve -w + 3*w = q for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 9 - (8 - (-385)\/363). What is the smallest value in 1\/7, 0.4, u, 0?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 1307 - -5?\nAnswer: 130c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/(1 - 41) - (-180)\/(-450)\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = 34*v - 984. Give t(28).\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 3 + -4 + (-24)\/(-16). Sort 3, -0.04, l.\nAnswer: -0.04, l, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) be the third derivative of 31*s**6\/120 + s**5\/60 + 271*s**3\/6 - 174*s**2. Find the first derivative of c(y) wrt y.\nAnswer: 93*y**2 + 2*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 15*s - 7*s - 4*s - s - 17*s**2 + 0*s**2 as k + z*s + o*s**2 and give o.\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yrr when three letters picked without replacement from {y: 1, d: 6, r: 4, k: 2}.\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -285032, -284895, -284758, -284621, -284484, -284347?\nAnswer: -284210","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(sqrt(2736) + (0 + sqrt(2736))**2*4)*-5 + sqrt(2736)*1*-6 + (sqrt(2736) + 1)*-4.\nAnswer: 120*sqrt(19) + 218876","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/3, 3\/176, 75, -5, 1\/3, 0.5 in decreasing order.\nAnswer: 75, 2\/3, 0.5, 1\/3, 3\/176, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 95653885904 less than 48?\nAnswer: -95653885856","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = 2*s**2. Let z(h) be the second derivative of 5*h**4\/12 - 4*h. Calculate z(q(c)).\nAnswer: 20*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*q**3 - 31\/4*q**2 + 15\/4*q - 1\/2.\nAnswer: (q - 2)*(3*q - 1)*(4*q - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1620 and 103860?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-264)\/(-44) + 100\/(-17)?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 39 divide 8970?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = n**2 - 23*n + 54. Give x(20).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 33 + -3. Suppose m = -m + x. Let y be 8\/27*m\/(-20). What is the third biggest value in 4, 0.02, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 867749.4 millilitres to litres.\nAnswer: 867.7494","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 27444 is divided by 5213?\nAnswer: 1379","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1616 and 10448?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 9 + -4. Suppose 0*f - g*f = -5. Which is the nearest to f? (a) 3\/4 (b) 3 (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -30*t**2. Let y(f) = 788294*f. Determine y(q(h)).\nAnswer: -23648820*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 434462674*s**2 + 494969*s + 391 wrt s?\nAnswer: 868925348","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q = 2 - 1. Let p(u) = -u**3 + 2*u**2 + 2*u + 1. List the prime factors of p(q).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p + 9392 = -62*p + 39842. What is the remainder when p is divided by 67?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 20 (base 8) to base 13\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 103 is divided by 40?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -2*d - 8. Let c be w(-4). Suppose 5*r + 4 - 89 = c. Let n = r - 28. Is n smaller than -1\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-1 - 4)*(-1 - 1). Let o be -11 - 5\/(r\/4). Is -3 - -1 - -2 - o a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 1 + (-1662)\/360 + (-2 - -6) and 19\/20.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -p + 7 - 6, 0 = 3*a - 4*p - 461. Calculate the remainder when a is divided by 38.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/((2\/6)\/(12\/(-198))).\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((4830\/(-20))\/23)\/12.\nAnswer: -7\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4\/9, -6, 0, -0.06 in increasing order.\nAnswer: -6, -4\/9, -0.06, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1180330 is divided by 295078?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 13 + -11. Suppose -4*x + n + 32 = 2*d, x + 2*d - 16 = 0. Suppose -5*u + x = -9. Solve -2*w = u*w - 5*k + 5, 2 = 2*w - k for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ddre. Give prob of picking 1 d and 1 r.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(7) + 0 + 2)**2*2.\nAnswer: 8*sqrt(7) + 22","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 3231639?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*v**3\/5 + 36*v**2\/5 - 9*v - 78\/5 = 0.\nAnswer: -13, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -8*o**2 - 12*o**2 + 18 - 18*o + o**2 + 40*o**2 - 9*o**2. Let h(d) = -d + 1. Give -18*h(a) + x(a).\nAnswer: 12*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (4 - 0)*(-2)\/6. Let z(k) = -k + 12. Let u be z(7). Suppose u*g = -2*o + 3*g + 4, 3*g + 15 = 4*o. Which is the biggest value? (a) x (b) -1 (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 9, 39, 0, -86, 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 122490437 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -62601, -5, 0 in ascending order.\nAnswer: -62601, -5, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -13*i**2. Let t(v) = 99415*v. Determine t(b(r)).\nAnswer: -1292395*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 5, f: 4, n: 7}. Give prob of picking 1 f and 3 x.\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand i**4 + 2 - 2 + (-3*i**4 + 2*i**4 + 3*i**4)*(4 - 4 - 2) - 7*i**4 + 14*i**4 + 5*i**4.\nAnswer: 9*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 17*m**2 - 3942*m - 134261 wrt m.\nAnswer: 34*m - 3942","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 47\/1917784 and 59\/82584.\nAnswer: 17260056","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 3\/7, -2, -0.2, -16, -5, 734?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 21 (base 4) in base 13?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -7 - -9. Let g(a) = -4*a - 3. Let x(o) = o + 1. Let t(d) = 6*d**2 - 15*d - 3. Let w be t(3). Give q*g(v) + w*x(v).\nAnswer: -2*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 97 minutes after 9:32 AM?\nAnswer: 11:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is -145 less than -1018\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -2 - -3 - 8\/(-1). Let o be (-3)\/2*4\/h. Let q = -0.0531 + -0.0469. What is the nearest to q in o, -0.4, 0.3?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-153)\/68)\/(1239\/(-236))?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence znz when three letters picked without replacement from {z: 6, n: 2}?\nAnswer: 5\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 40802 to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from woowlolooololwoo. What is prob of picking 1 l, 1 o, and 1 w?\nAnswer: 27\/140","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(2 + (sqrt(162) - ((-1 + sqrt(162) + sqrt(162) - sqrt(162)) + sqrt(162) + sqrt(162)))**2 + sqrt(162))*-6.\nAnswer: -23436 + 972*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = 51 + 110*j - 126*j - 63. What is o(-2)?\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 195 + -193. Let p be (-2)\/(-3) - (-24)\/(-9). Let w be j + -3 + p + 8. Solve 0*r = -w*r - 15 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1265865835?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.09? (a) -0.1 (b) -2 (c) 10\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -161 divided by 8484.\nAnswer: -23\/1212","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3087891 and 522?\nAnswer: 261","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 29\/(-3) + 5 + (-1)\/6 and 9\/(-6) + 102\/(-10).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 126*k + 6081 + 59400 = -173*k. Let j(w) = -w**3 + 4*w**2 - 3*w - 1. Let v be j(3). Put -2, v, k in increasing order.\nAnswer: k, -2, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 105635 = -11150*d + 11187*d. Does 8 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4412000 (base 9) to base 14.\nAnswer: 4599a3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 13 - 34b?\nAnswer: -338","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 6.2 (b) -16 (c) 1445\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.185714475 to 3 decimal places.\nAnswer: 0.186","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 20713?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = 17450*o - 104733. What is c(6)?\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*a + 17*a + 5 = 0. Let l = 31 + a. Let v = -27 + l. Calculate the lowest common multiple of 3 and v.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 41651.\nAnswer: 41651","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a\/a**(1\/3)*a*a*a*a\/a**6*a*a assuming a is positive.\nAnswer: a**(2\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = 1757*j + 16. Let o = 140 + -144. Let l be a(o). Let w = 126143\/18 + l. What is the common denominator of w and -57\/8?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = 232*r**3 - 7*r**2 + 19*r + 48. Let i be f(64). Round i to the nearest 1000000.\nAnswer: 61000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 609 + -605. Let u(n) = -n**2 - 3*n + 3. Let y(k) = k**2 + 2*k - 4. What is f*y(g) + 5*u(g)?\nAnswer: -g**2 - 7*g - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*h**4 + 0*h**4 + 0*h**4 + (-7*h**2 - 6*h + 6*h)*((h + h - 5*h)*(0 + 2*h + 0) - h**2 - 5*h**2 + 4*h**2).\nAnswer: 54*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -78 - -83. Find the third derivative of -2*s**v + 6*s + 14*s**2 - 6*s - 2*s**5 wrt s.\nAnswer: -240*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 62440 and 760?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 100001011101011111010 (base 2) in base 8?\nAnswer: 4135372","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -l + 11. Let w be a(-14). Let h = w - 20. Differentiate -v - 10 + h + 13*v**3 + v wrt v.\nAnswer: 39*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + (sqrt(136)*-1*-1 - sqrt(136))\/(sqrt(88)\/(sqrt(66)\/sqrt(6))))**2*1.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 225511437 and 2602?\nAnswer: 1301","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -166*r**3 + 9*r**2 + 126*r - 70. Let n(o) = -o**3 + o**2 - 5. Let a(y) = m(y) - 14*n(y). What is the second derivative of a(t) wrt t?\nAnswer: -912*t - 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 1\/4 of a gram?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(84) + 6*-2*sqrt(84) + -1*sqrt(84)*-4)\/(6*(4*sqrt(972) - sqrt(972))).\nAnswer: -7*sqrt(7)\/162","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 + (-11 + 13)*(3 - -1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = 22002*l - 286020. Give m(13).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -2\/13, 0.4, -22, -0.55, 3?\nAnswer: -0.55","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 5148603*o**2 + 205019*o + 3?\nAnswer: 10297206","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 1, u: 2, j: 1, x: 2, r: 2, a: 1}. What is prob of sequence xz?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -85, 2\/13, -6\/7, -20, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = 332*a - 2673. Determine j(8).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r - 5*y - 640 = 0, -3*r - 4*y + 238 = -174. Is r a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 167545981 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o*o*o*(o*o*o**(-3\/4))\/o*o**(1\/5))\/(o\/(o**(-1)\/o))**(-1\/4)*((o**(-1\/4))**(-26\/5))**43 assuming o is positive.\nAnswer: o**(601\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -y**2 + 7*y + 5. Let n be r(3). Let c(s) = 25*s - 18 - 7*s**2 + 2*s**2 + 1 + 4*s**2. Let q be c(17). What is the highest common factor of q and n?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2.2 - 1.78. Let x = 144 + -144. Which is greater: d or x?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3474983654 to the power of 1\/10, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find z, given that -11*z**3 - 608048080*z**2 - 8402783409633607*z - 1527778781650802 = 0.\nAnswer: -27638549, -2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 40\/(-22) - (-1 + 6 + -7)?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 44641 + -5?\nAnswer: 44636","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = -s - 3*s. Let f(m) = m - 6. Let g be f(s). What is the units digit of (-54)\/(-3) - (g - 0)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-9)\/(-21) + 11\/7\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((h**4\/h)\/h**(-2))\/(h**(-1\/5)*h*h**(-5)\/h))**7)**(22\/5) assuming h is positive.\nAnswer: h**(7854\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 31246?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = g - 5. Let w(q) = -2*q - 7. Let z(r) = -5*r - 15. Let y(t) = -t**2 + 13*t - 3. Let d be y(13). Let m(u) = d*z(u) + 7*w(u). Determine 5*m(x) - 4*p(x).\nAnswer: x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*u**2 - 2*u + 2*u + (0 + u + 0)*(-3*u + 0*u + 5*u))*(u - 4*u + 4*u) + (-4*u**2 + 4*u**2 - 2*u**2)*(u + 0 + 0).\nAnswer: 2*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is a + -612dc6?\nAnswer: -612dbc","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 364, 373, 384, 397, 412, 429?\n\"Answer: v**2 + 6*v + 357","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.3, -1244447, 1\/3 in decreasing order.\nAnswer: 1\/3, 0.3, -1244447","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1971542 or -1971552?\nAnswer: -1971542","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((sqrt(750)*-2)\/sqrt(3))\/((2*sqrt(2880))\/sqrt(10)))**2 + -3)*1.\nAnswer: -307\/144","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p and 3 q when four letters picked without replacement from qnqnqpqqqq.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -2*k. Let a be f(-3). Is 52 + -3 + -1 + a a multiple of 27?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -58, 214, -3, 25, -5, -9 in decreasing order.\nAnswer: 214, 25, -3, -4, -5, -9, -58","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) be the third derivative of -1577*t**8\/336 + t**6\/120 + t**4\/24 - 125*t**3 - t**2 + 2075. What is the second derivative of m(k) wrt k?\nAnswer: -31540*k**3 + 6*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 136 to the power of 1\/2, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Product of 3795407 and -21.\nAnswer: -79703547","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 45, 139, 285, 477, 709?\n\"Answer: -n**3 + 32*n**2 + 5*n + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22 = -2*r + 3*p, 4*p + 6 = -2*r - 0*p. Let z = 6 - -33. Let l = z - 34. Solve l*k = -3*s - s - 13, -r*k + 5*s = 40 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (740932\/3)\/((-99)\/(-27) - 3). Let o = 116466 - y. What is o rounded to the nearest 10000?\nAnswer: -250000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u - 5*l - 10 = -u, -l - 30 = -5*u. Suppose 5*a - 6 = -3*s, 3 - u = -s. Suppose -w - 3*w = a. Solve w = 2*v - v - 2 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x + 5*f + 19 = 4*x, 2*f + 16 = 4*x. Let u = 58 + -57. Sort -2, x, u.\nAnswer: -2, u, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = 3*i**3 - 7*i**2 - 6*i - 1. Is l(5) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v - v = 15, -4*v = -5*j + 7. Suppose 10 - 26 = -4*h. Let y(w) = 1. Let u(q) = 3*q + 7. Calculate h*y(k) + j*u(k).\nAnswer: -3*k - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) be the second derivative of -1\/168*c**7 + 3\/40*c**5 - 46*c + 1\/120*c**6 + 0 - 3\/8*c**2 + 1\/24*c**4 - 5\/24*c**3. Factor f(j).\nAnswer: -(j - 3)*(j - 1)*(j + 1)**3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19 = w - 3*b, -657*w + b + 13 = -658*w. Put w, -2, -213, 3, 1 in ascending order.\nAnswer: -213, w, -2, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 15912?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = 7*n**3 - 1400*n**2 + 7*n - 1396. Let m be f(200). Suppose -2\/5*w**3 + 4\/5*w + 6\/5*w**m + 0 - 6\/5*w**2 - 2\/5*w**5 = 0. What is w?\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.54 and 390.\nAnswer: 389.46","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 380.3 + -346. Let v = 34 - r. Let z = 0.7 - 5.7. Which is the nearest to -0.1? (a) v (b) 2\/23 (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.1 - 0.1. Let n be 2\/(-22)*(-4)\/2. Let s = -0.43 - 0.07. Which is the third smallest value? (a) s (b) n (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*s**2 - s**2 + 7*s**2 + 2*s**2 + s**2 - 2*s**2 - s**2 + s**2 + 2*s**2 + (-2*s + 2*s - s)*(-3*s + s + 3*s) + s**2 - s + s.\nAnswer: 9*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -480\/191 - -254694\/101803. Let s = 1785690421419\/8528 + -837565877\/4. Let b = s - u. Find the common denominator of 149\/6 and b.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in thirty-three fifths of a litre?\nAnswer: 6600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*l + l**3 + 3*l + (l**2 + 2*l - 2*l + (0*l - l - l)*(-3*l + 3*l - 2*l))*(0*l - 2 - l + 3).\nAnswer: -4*l**3 + 5*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 581, 1129, 1679, 2231, 2785, 3341, 3899?\n\"Answer: z**2 + 545*z + 35","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 41 - 28. Does 3 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from iwkiiiikkwiikki. What is prob of picking 3 k?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1435094 and 29.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/21, -94311, -0.3, 1\/3 in descending order.\nAnswer: 1\/3, -1\/21, -0.3, -94311","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 203320 (base 4) to base 9\nAnswer: 3131","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -56326*k**4 - 21*k - 5523551?\nAnswer: -225304*k**3 - 21","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -7528440 by -87540.\nAnswer: 86","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 25138 + -19963. Calculate the smallest common multiple of 2875 and y.\nAnswer: 25875","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -100102020102202 (base 3) to base 10.\nAnswer: -5004173","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 611, 1240, 1887, 2552, 3235, 3936, 4655?\n\"Answer: 9*h**2 + 602*h","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p - 5*h + 1 = 0, p + h + 7 = 3*p. Let q be (18\/24)\/(1\/p). Suppose -1 = -q*g + 5. Solve g*s + 4 = -2*s for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -p**2 - 1 - 15*p**3 + 2051*p**4 - 1029*p**4 - 1032*p**4 to x*p**4 + m*p**2 + h*p**3 + g + l*p and give m.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express -2831*n + 6 - 2835*n + 5668*n as l*n + z and give l.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 191 minutes after 4:55 PM?\nAnswer: 8:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qxnxmmxmmmxxrm. Give prob of sequence mqn.\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) be the second derivative of t**3\/3 - 5*t**2\/2 + 3*t. Let v be b(5). Solve 4 = -v*q - 1 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-129)\/25 - -5)\/((-4)\/(-10)).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-1*14277\/6)\/((-2)\/4) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 56, 27 in decreasing order.\nAnswer: 56, 27, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert -331 (base 8) to base 11.\nAnswer: -188","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = 2*h**2 - 104*h - 293. What is the remainder when n(55) is divided by 10?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.6597 and 2.\nAnswer: 1.3403","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 73876 is divided by 18126.\nAnswer: 1372","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -357 = x + 2*z, -3*z + 4*z = -x - 354. Let y = x + 902. Suppose -5*s - 2*m + 3175 = 0, -2*s + 4*m + y = -719. Is s composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -10*a - 38. Suppose -8 = -4*z, 3*x - z = z + 98. Calculate the remainder when x is divided by q(-5).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -f*j**4 + 16*f*j**3 - 405*f*j + 36*j**4 - 4*j**3 - 6168*j**2 wrt j?\nAnswer: -24*f*j + 96*f + 864*j - 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -9928759 divided by -33\nAnswer: 9928759\/33","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -11559ac (base 14) in base 7?\nAnswer: -130223405","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 75845, 151667, 227489, 303311?\nAnswer: 379133","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 4033600 to the nearest 10000.\nAnswer: 4030000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:11 PM and 2:42 AM?\nAnswer: 691","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 11942876 and 44?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1461 - -1466. What is the nearest to f in -1, 1\/7, 1\/5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/433 in 2\/7, -1\/3, 1.2?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z - 7*h + 3*h + 100 = 0, 2*z - 3*h - 25 = 0. Find the second derivative of 2*j + z*j**4 - 14 + 63*j**4 + 24*j**4 wrt j.\nAnswer: 1284*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((3\/(-3))\/((-12)\/(-3)))\/2\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-638)\/((-1836)\/3128 - 4\/(-46)). Which is bigger: a or -2\/7?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in -4, 2, -1\/5, 0?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put -133, 51, 7, -18 in increasing order.\nAnswer: -133, -18, 7, 51","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 24 - 97\/4. Is c <= 1.5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -113 (b) -20 (c) -7 (d) 4\/7 (e) 0.3 (f) -2\/3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6151 - 5881 = 27*x for x.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 156 minutes before 6:21 AM?\nAnswer: 3:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 708.\nAnswer: 2, 3, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-4)\/(-2)*(-4)\/2. Let d be 7 - 2\/i*0. Let j = 13 - d. Solve -j = w + w for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 139, -3, 2, 3 in increasing order.\nAnswer: -5, -3, 2, 3, 139","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -2*j**2 - 244*j - 1428. What is q(-113)?\nAnswer: 606","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i - 589 = -4*i + q, -5*q + 975 = 5*i. What is the tens digit of i?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**(-1)\/v)\/v**6)**(-32) assuming v is positive.\nAnswer: v**256","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (37*y - 9*y + 27*y)*(1072*y**2 + y - y - 2862*y**2)*(6*y - 3*y - 2*y) to g*y**4 + n + a*y**3 + l*y + r*y**2 and give g.\nAnswer: -98450","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-56*o - 2*o - 76*o)*(-1 - 5*o + 1).\nAnswer: 670*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 103 = m - 82. Is m prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -45*p**2 + 52*p**2 + 49*p - 92*p + 53*p.\nAnswer: 7*p**2 + 10*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 7961253 to the nearest integer?\nAnswer: 2822","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = 26*c + 96. Calculate o(-23).\nAnswer: -502","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = w**3 + w**2 + w + 5. Let z be d(-4). Let k = 44 + z. Let l be k*(11\/33 - 5\/3). Solve 4*m - l*b - 24 = -b, 0 = -4*b - 16 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*n = -913 - 308. Let r = 115 + n. Suppose 5*z + r*t = z + 280, z - 55 = -4*t. List the prime factors of z.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -121*q = 120*q - 11673 - 1100 for q.\nAnswer: 53","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*g - 4*g + 4*g.\nAnswer: -7*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 81460843 to the power of 1\/3, to the nearest integer?\nAnswer: 433","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -14 + -3 - (-14 - 25)?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 41 and 105821?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -25*x + 388. What is the units digit of v(15)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -49\/474 and -38\/2787.\nAnswer: 440346","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -68, 4, 0.7?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = 597*i**2 - 130. Let y(c) = 5*c**2. Calculate x(y(p)).\nAnswer: 14925*p**4 - 130","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1100100 + 11?\nAnswer: -1100001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -53, 9 in descending order.\nAnswer: 9, 1, -53","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n, 1 b, and 1 e when three letters picked without replacement from eebtneenbn.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = 2*x**3 + 90*x**2 - 715*x - 87. Calculate n(7).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-552)\/18*(14 - 13 - -2)*2\/4?\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 - 6 - (-17 + 16)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 7362 and 18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 6683 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 1457 a multiple of 31?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (14\/(-2))\/(33\/66)*(-16 + 273\/14)\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2159\/530 + 94\/53. Let k = -47\/15 - n. Suppose -4*a + 2*a - 8 = 0. Put -2, a, k in increasing order.\nAnswer: a, -2, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -26.14 smaller than -2785?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z\/z**(1\/3))**13)**(-38) assuming z is positive.\nAnswer: z**(-988\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = o + 4*o + 1 - 3*o - 3*o. Suppose -16 = -4*s - 5*r - 36, 3*s - 4*r + 46 = 0. Calculate the remainder when 31 is divided by m(s).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_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: Calculate the smallest common multiple of 20592 and 901472.\nAnswer: 8113248","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -580, -601, -620, -625, -604, -545?\nAnswer: -436","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Product of -4 and 29945.\nAnswer: -119780","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor -33*k + 76 - 2*k**3 + 3*k - 94 - 14*k**2.\nAnswer: -2*(k + 1)*(k + 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1592*h**6 + 36*h**2 + 31?\nAnswer: -191040*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -87.8736 to one dp.\nAnswer: -87.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -5.027 rounded to zero dps?\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -79\/1323 and -82\/1323.\nAnswer: 1323","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 1525771763 a multiple of 131?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 3 + 2*p)*(0*p - p + 2*p) - 7*p**2 - 8*p**2 + 13*p**2 + (p + 1 - 1)*(p - 5*p + 3*p).\nAnswer: -p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3\/14 in -2\/163, 0.4, 0.2, 5, 1?\nAnswer: -2\/163","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -44*g - 1941805 + 29923605 = 0. Round g to the nearest one hundred thousand.\nAnswer: 600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 1, c: 7}. What is prob of picking 4 c?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Do 0 and 4\/81440673 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2, 6, 10, 14?\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -w + 10. Let z(b) = -15*b + 162. Let n(q) = -33*l(q) + 2*z(q). What is n(6)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ttctccccttqqtctqcc. What is prob of picking 4 t?\nAnswer: 7\/612","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 86311310?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 101 minutes before 10:16 AM?\nAnswer: 8:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -90.057434 to the nearest integer.\nAnswer: -90","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1730.9506 + -1733.8. What is o rounded to two dps?\nAnswer: -2.85","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 47695.6 rounded to the nearest 10000?\nAnswer: 50000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 1218 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(27)\/(sqrt(108)\/(sqrt(12) + sqrt(72)\/sqrt(6))) - sqrt(21)\/(sqrt(49)\/sqrt(7))*3.\nAnswer: -sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) be the second derivative of -y**6\/360 + y**5\/24 - y**4\/12 - 2*y**3\/3 + 4*y. Let c(r) be the second derivative of v(r). What is c(4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 9.1 - 0.1. Let v = q + -2. Let w = -2 + v. Which is the third smallest value? (a) w (b) 2 (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -3*y - 4*d, -42*y - 4*d = -45*y + 2. Let p(t) = 6*t**2 + t. Let q be p(1). Let l = q - y. Solve l*i + g = 2*g + 5, 0 = -2*g for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 4\/(-10) - ((-32)\/5 - -7). Let o be (g - 1) + (12 - 8). Suppose -o*w + 10*w - 272 = 0. What is the units digit of w?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 38 a factor of 266?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 473688 divided by -387\nAnswer: -1224","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Work out -58110 * -15.\nAnswer: 871650","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vvffvvf. Give prob of picking 3 v and 1 f.\nAnswer: 12\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor -68\/5*z - 16\/5*z**4 + 0*z**3 + 4\/5*z**5 + 24\/5 + 56\/5*z**2.\nAnswer: 4*(z - 3)*(z - 1)**3*(z + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b + 18 = -z, -5*b + 3 = 4*z - 4*b. Let w(u) = -2*u**2 + 2*u. Let g(j) = -j. Suppose -x = 5*l - 16, -2*x + 1 + 10 = 3*l. What is x*w(k) + z*g(k)?\nAnswer: -2*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 62731961 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 550 and 3?\nAnswer: 1650","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wvvi when four letters picked without replacement from {i: 1, w: 1, v: 3}?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.18003 - -0.04997. What is the nearest to 2\/11 in 0, p, 1?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 270, 352, 434, 516, 598, 680?\nAnswer: 762","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -3*u + 0*u - 3*u**2 + 2*u. Let v(n) = 13*n**2 + 4*n. Determine -2*v(t) - 9*w(t).\nAnswer: t**2 + t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 251 minutes after 11:57 AM?\nAnswer: 4:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*r + 93*r + 110*r + 5*r.\nAnswer: 219*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 119 divide 5519?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 74*p - 86*p + 36 = 0 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:19 AM and 8:57 AM?\nAnswer: 38","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (-1 + (-4)\/12)\/(-20 - 5680\/(-285))\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = 289*j + 1180. Calculate u(-4).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 203037 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-142896)\/113880 + (-20)\/(-365).\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = 2*i**2 + 0*i**3 - 159 + 165 + i**3 - 17*i + 2*i**2 - 8*i**2. Let a be k(5). Sort a, -3, -1, 0 in decreasing order.\nAnswer: 0, -1, -3, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -4*k**4 + 8 + k**2 - 6 - k**2 wrt k?\nAnswer: -16*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 313223 (base 5) to base 8.\nAnswer: 24306","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -1566 (base 9) in base 10?\nAnswer: -1194","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 (base 14) in base 15?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = o + 15. Let n(d) = d - 13. Let y be n(6). Let a be t(y). Solve -5*j = -j - a for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + 4 + 4 + (5 + sqrt(275) + -2*sqrt(275) - -2*sqrt(275)*-2).\nAnswer: -25*sqrt(11) + 15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -26950686.3 less than 2621?\nAnswer: 26953307.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j\/j**(-5))**(-10))**7 assuming j is positive.\nAnswer: j**(-420)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o**(2\/13)*o**(-2\/3)*o**(1\/7)\/o*o**(2\/19) assuming o is positive.\nAnswer: o**(-6560\/5187)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 14084932?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 2716059806 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cd when two letters picked without replacement from {d: 10, c: 4}?\nAnswer: 20\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 3\/((-9)\/(-242))*3. Suppose 5*b - 2*u = -316, 2*b - 2*u - i = 6*b. Let l = 88 + b. Is l composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1612 and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*z**5 + 0*z**5 - 2*z**5 + 2*z**5 - z + z + (-3*z**2 + 2*z**3 + 3*z**2)*(2*z**2 + 2 - 2) + 4*z**5 - z**5 - 2*z**5.\nAnswer: 5*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -43*j**3 - 7*j + 8 wrt j.\nAnswer: -258*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4 - (553 + 0)\/((15\/95)\/(-3))?\nAnswer: 23, 457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: (4\/(-10))\/(3 + 406\/(-140))\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 21.79 - 22. Let t = -0.11 - u. Which is the nearest to t? (a) 3 (b) -0.2 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -222*o + 1395. Is r(-15) a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -w**2 - w - 1. Let z(o) = -8*o**2 - 9*o - 9. Let c(j) = 18*p(j) - 2*z(j). Let m(n) be the third derivative of -n**4\/6 - 18*n**2. Calculate c(m(d)).\nAnswer: -32*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:47 PM and 12:09 AM?\nAnswer: 322","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 114331\/34980 + -380\/583. What is the common denominator of (-3543)\/990 + 119\/51 and l?\nAnswer: 660","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -3*i**2 - 1 + 5*i**2 + 19*i - 12*i - 6*i. Determine u(-3).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(7) + 2)*-4 + 5.\nAnswer: -4*sqrt(7) - 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 6\/(-1 - -3) + 1. Suppose 0 = q*h - 8. Solve -h*c - 15 = 3*j, -c - 10 = c + 2*j for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1\/(4 + 77\/(-21))\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 38627 is divided by 18550?\nAnswer: 1527","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/25 of a millennium in years?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:38 PM and 5:56 AM?\nAnswer: 678","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (1 + (-6)\/10)\/((-81)\/1620). Let u(d) = 116269*d + 152. Let k be u(z). Round k to the nearest 100000.\nAnswer: -900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o\/((o\/(o*o\/(o**(-1\/4)\/o)))\/o))**37\/(o**(3\/2)\/(o\/o**(-3\/7))) assuming o is positive.\nAnswer: o**(4401\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1941, 3156, 4321, 5412, 6405, 7276?\nAnswer: 8001","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = 3*w**2 - 24*w + 36. Determine n(8).\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2270?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 75215479 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -189 - -191. What is v in -1\/2*v - 7\/2*v**3 + 0 - 3\/2*v**4 - 5\/2*v**w = 0?\nAnswer: -1, -1\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -63 by 44.\nAnswer: -63\/44","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) be the first derivative of -1\/12*m**6 + 0*m**2 - 2 - 1\/4*m**4 + 0*m**3 + 0*m - 3\/10*m**5. Factor d(u).\nAnswer: -u**3*(u + 1)*(u + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -117 + 126. Suppose -q*k = 24*k - 825. What is the remainder when 299 is divided by k?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-41)\/1804)\/(1\/(-8)).\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = 23 + 19*s - 6*s - 6*s - 6*s. Does 29 divide p(6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -5877274, -11754545, -17631816?\n\"Answer: -5877271*u - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -258, 1437, 4, 7 in ascending order.\nAnswer: -258, 4, 7, 1437","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y = -10 - 15. Suppose -2*o - 1583 = -4*o + y*i, -5*i - 794 = -o. Is o 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 6772?\nAnswer: 2, 1693","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.12 - 7.88. Let m = -14.121 - -14.221. Let i = 0.05 - 5.05. What is the nearest to m in f, 0.5, i?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1025\/5 + (1 - -3). Let x = h - 116. What are the prime factors of x?\nAnswer: 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-730)\/(-584)*(-2)\/(-15)\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 4045880?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 + 15 + -10 + 0 + 11?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -175.1 - -175. Which is the third smallest value? (a) 0.5 (b) 0.1 (c) -2 (d) -2\/9 (e) o\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 3, a: 15}. Give prob of picking 4 a.\nAnswer: 91\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -1\/1104 and 43\/1380?\nAnswer: 5520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 447116 - 0.4?\nAnswer: 447115.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 10*s - 177 wrt s.\nAnswer: 10","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = 1. Let z be 74\/14 + (-6)\/21. Suppose z*k - 39 = 16. Let y = -12 + k. Let x(p) = -p**3. Give y*x(v) - q(v).\nAnswer: v**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3607 = 5*c + 4*m - 0*m, -2*m - 3589 = -5*c. Is c a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5393960 a multiple of 220?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1942*h + 16926 + 26309 = -11165 - 46584 for h.\nAnswer: -52","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -4 in -3, 9, -4, 1\/8, 0?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 5*(12\/(-44) - 154\/(-121)). Sort 3, t, 43.\nAnswer: 3, t, 43","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 70857*l**2 + 5 - 70861*l**2 - 5.\nAnswer: -4*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 238 minutes before 10:06 PM?\nAnswer: 6:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-1)\/(-4))\/(0 + 1). Suppose 0 = 3*w + w, 0 = 4*s + 5*w + 12. Let i = 848 - 844. Which is the closest to -2\/3? (a) s (b) i (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 4 + -9. Let s(w) be the third derivative of w**5\/20 - w**4\/12 + w**3\/2 + 183*w**2. Let f(y) = 3*y**2 - 2*y + 4. Determine p*f(x) + 6*s(x).\nAnswer: 3*x**2 - 2*x - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -168 + 88 + 80 - 2*i**3 + i**3.\nAnswer: -i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*f = -5*u, -f - 8 = -4*u + 5*u for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 59247492 to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -8369796 divided by 4?\nAnswer: -2092449","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 67620 to the nearest ten thousand.\nAnswer: 70000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (-15 - -1) + (4 + -8 + -18 - -13 - 22)\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 755 + -1052. Is b at most as big as -294?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 92814 is divided by 70.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -t**3 - 3*t**2 - t - 4. Let o be r(-4). Suppose -y = 3*k - 36, 2*k + 0*k - 2*y - o = 0. What is the units digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-113)\/((-2147)\/(-380)))\/(-25)\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 833, 1636, 2439, 3242, 4045?\nAnswer: 4848","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 269 + -264. What is the nearest to -48 in y, 4, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -2*k - 75. Calculate c(-32).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = m**3 + 32*m**2 - 22*m - 1. Let t be c(-33). Put t, -1, -5 in descending order.\nAnswer: -1, -5, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 72*p = 13*p + 295 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vvvvvwwvwwww. What is prob of picking 4 w?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w and 1 o when two letters picked without replacement from {w: 4, o: 2, a: 3, x: 1, r: 1, i: 1}.\nAnswer: 4\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 11209 in 4, 5, -0.39, -0.1?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 284750 to the nearest integer?\nAnswer: 534","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 2111 (base 3) in base 5?\nAnswer: 232","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 2, a: 4, l: 4, c: 5}. Give prob of sequence cwl.\nAnswer: 4\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*z**3 + 4*z**3 - z**3)*(-5 - 4 + 1 + 3 - 4 + 0 + (3 + 0 - 1)*(0 - 2 + 3) + 1 - 2 + 3 - 3 + 0 + 1 - 2 + 3 + 0 + 1 + 0 + 0).\nAnswer: -25*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -h**3 - 10*h**2 + 11*h + 10. Let k be (-19 - -8)\/((0 - -3) + -2). Determine g(k).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 95042298 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -u - 6. Let q be o(-10). Suppose 0*y - q*y = -88. Let m be 2*((-535)\/(-60) + -9) + 278\/12. Do y and m have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2639656.3 rounded to the nearest one hundred thousand?\nAnswer: -2600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p + 44116 = -4*r, 4*p = -2*r + 78309 - 19517. Round p to the nearest one thousand.\nAnswer: 15000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q**5 - 228322*q**4 + 13032962240*q**3 - 26065011200*q**2 = 0. Calculate q.\nAnswer: 0, 2, 114160","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 62402 to the nearest integer?\nAnswer: 250","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 21103 (base 4) in base 14?\nAnswer: 307","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 3\/40 and -7\/4.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c\/(c**(3\/8)*c*c))\/(((c**(-1\/3)*c)\/c*c)\/c))\/(c**(-3)*c**(-1)) assuming c is positive.\nAnswer: c**(71\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-357)\/6)\/(-17)*(-144)\/(-28).\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -4*j**2. Let r(z) be the second derivative of z**6\/180 + 2*z**4\/3 + z. Let w(f) be the third derivative of r(f). Give w(u(y)).\nAnswer: -16*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1854121\/216 + -34335\/4. Find the common denominator of s and 49\/600.\nAnswer: 5400","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -276330, -552754, -829176, -1105596?\n\"Answer: d**2 - 276427*d + 96","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: (-1 - (-2 - -1) - 11) + (-5 - -2)\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -100100010000 - -1101?\nAnswer: -100100000011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 0.1, 0.22, -1, 7 in ascending order.\nAnswer: -1, 0, 0.1, 0.22, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -381 - -381.5. Put 9, -0.4, b, 3\/4 in descending order.\nAnswer: 9, 3\/4, b, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*r - 2*r = -6. Suppose -r*t = t - 16. Suppose -4*u - 8 = t*c, -2*u + c = -1 - 7. Solve 0*q = -2*q + 2, -u*k + 4 = 4*q for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = 2*u**2 + 9*u + 6. Let j = 68 + -46. Suppose 5*m + j = 257. What is the remainder when m is divided by q(-6)?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 83200?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-780)\/(-299))\/(645\/(-17802))?\nAnswer: -72","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:33 AM and 6:42 AM?\nAnswer: 309","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -j**3 + 30*j**2 + 4*j - 35. Let s(f) = -f**3 + 30*f**2 + 4*f - 35. Let t(u) = -6*h(u) + 5*s(u). List the prime factors of t(31).\nAnswer: 2, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -16399\/1880 + 390\/47. Calculate the common denominator of g and 51\/4.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 401 minutes after 3:14 PM?\nAnswer: 9:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = 48*b**2 - 77*b + 1197. What is the hundreds digit of z(20)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-m - 5*m + 5*m)*(1 + 4 - 4) + 7*m + 2 - 2)*(-44*m - 92*m - 65*m + (m + 4*m - 3*m)*(-1 + 2 + 1)).\nAnswer: -1182*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -79*y - 67*y + 117*y + 319 = 0 for y.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-1)\/(-12)*(-2 - 124025695\/145). Let p = 71280 + u. Calculate the common denominator of 133\/6 and p.\nAnswer: 348","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*w + 28*w - 360 = 0. Suppose -w*k = -66*k - 21678. Is k prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*b**3 + 2*b**3 - 2*b**3)*(0*b - b - 3*b) - 3*b**4 - b**4 + 2*b**4.\nAnswer: -22*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -269*r + 36*r**4 + 238*r - 17*r**4 - 2 + 5*r**4 + 2*r**3 + 17*r**4 to q*r + y + d*r**2 + h*r**3 + w*r**4 and give q.\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 29, 113, 255, 455, 713?\n\"Answer: 29*j**2 - 3*j + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 138213 is divided by 26.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 4052435 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -23, 10.5, 0.7, -5, 0, -1\/5, -1?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 6\/(-16) - (-245)\/56. Solve -3 = x*h - 3*m, -5*h + 0*m - 3*m + 30 = 0 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1037412*d**3*p + 13*d**3 - 11*d**2*p - 9*d**2 - 397*d*p + 8*d wrt d.\nAnswer: 6224472*p + 78","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 42 and 68397?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -5 in -1, 2, -6, 0.4?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -416*k + 22497. What is d(51)?\nAnswer: 1281","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 31217\/2 - 15608. What is the nearest to q in 1\/3, 0.4, -65?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(3\/7))**30 assuming j is positive.\nAnswer: j**(90\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -g**3 + 30*g**2 - 5*g + 22. Calculate b(3).\nAnswer: 250","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = 5 - 4*p + 1 - 4 - 4. Let k be t(-2). Which is smaller: 4 or k?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -821404 and 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = 51*a - 4. Let c(m) = -668*m + 45. Let n(y) = 5*y + 6. Let u(v) = c(v) + n(v). Determine -51*r(o) - 4*u(o).\nAnswer: 51*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Determine v so that 2*v**4 - 281378*v**3 + 281372*v**2 + 562752*v = 0.\nAnswer: -1, 0, 2, 140688","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find j such that 8\/5*j**4 - 4*j**3 + 0*j - 24\/5*j**2 + 0 + 4\/5*j**5 = 0.\nAnswer: -3, -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -0.1 (b) -323 (c) 1\/23\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 67\/184 - -1\/92. Which is the nearest to 0? (a) n (b) 1\/4 (c) 3\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qq when two letters picked without replacement from ycceqcdqyqqyqcyq?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 1, o: 2, h: 2, p: 1, f: 1, g: 1}. What is prob of sequence fph?\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 3539538727 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sum 1379300404 and -0.3.\nAnswer: 1379300403.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -94 + 151. Is i a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 27 a factor of 81\/1*13\/39?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 592, 1085, 1670, 2365, 3188, 4157, 5290, 6605?\n\"Answer: 3*s**3 + 28*s**2 + 388*s + 173","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 2*j - 2*p, 5*p + 6 = 12*j - 11*j. List the prime factors of (2 - 4)*(-95 + (j - 3)).\nAnswer: 2, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3655 is divided by 92.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n and 1 p when two letters picked without replacement from {u: 1, t: 1, y: 2, r: 3, p: 4, n: 4}.\nAnswer: 16\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11488751 is divided by 176?\nAnswer: 175","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k**6\/k**(-3\/8)*k\/(k*(k\/(k\/(k**(-2\/11)\/k*k)*k)*k)\/k)*k*k**(-1\/5) assuming k is positive.\nAnswer: k**(3677\/440)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 27 divide 3024?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*y + 84 = 17*y. Let p(v) = v**2 - 3*v - 4. Let m be p(-3). Let z = 110 - m. Calculate the greatest common factor of z and y.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -196*d - 301 wrt d.\nAnswer: -196","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1 - 0.6. What is the second smallest value in 4\/3, 2, k?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 306*o**2 - 577*o - 573*o - 2444 + 4976*o**2 + 1150*o with respect to o.\nAnswer: 10564*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -2*o + 8*o. Let k = 484 + -480. Calculate the remainder when 22 is divided by (-13)\/(o + -4 + k).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 61 + 64. What is the units digit of c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*n - 7*n + 2*n)*(0*n + n - 2*n)*(1347*n + 10818*n - 11 + 11) to the form y*n + l*n**3 + j + o*n**2 and give l.\nAnswer: 24330","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(sqrt(32) + 5)*3)**2.\nAnswer: 360*sqrt(2) + 513","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 3, -7.215, -2, -8\/15?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 22.283036198 from -62.2.\nAnswer: -84.483036198","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*a - 19*a + 2*m = 254, 5*a + 3*m = -455. Does a = -13?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*n**2\/9 - 33316*n\/3 - 73822112\/9.\nAnswer: 2*(n - 50702)*(n + 728)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -b**2 - b + b + (3*b - 4*b + 3*b)*(-2*b + 0*b - 2*b) to the form p + h*b**2 + w*b and give h.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 24*-29947375.\nAnswer: -718737000","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*x**2 + 559188*x + 1118368.\nAnswer: 2*(x + 2)*(x + 279592)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*y = -6*y - 0*y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -90 = 10*o - 320. What are the prime factors of o?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2413.029159 rounded to the nearest ten?\nAnswer: 2410","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 1, o: 1, d: 5, x: 9, j: 2}. Give prob of sequence dod.\nAnswer: 5\/1224","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 614, -2, -4, 0.3, 2, 5 in descending order.\nAnswer: 614, 5, 2, 0.3, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (m*m**(-2\/9)*m**7)**(-37) assuming m is positive.\nAnswer: m**(-2590\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 37586432.\nAnswer: 2, 13, 5647","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d + 149 = -45. Calculate the remainder when d is divided by 50.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 + 6 = 2*j. Suppose -j = -2*y + y. Let k(g) = g**2 + 7*g + 12. Let b be k(-9). What is the highest common divisor of y and b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = 3*u - 9. Let f be n(6). Let i be f\/(-2) + (-24)\/16. Let q(y) = y**3 + 5*y**2 - 6*y + 2. Let l be q(i). Solve d - 2 + 0 = t, -t = -5*d + l for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (12 - (2 + 0))\/2. Suppose 0 = 5*w + 5*q - 5, d*w = -3*q + 5*q - 2. Suppose -6*j + 4*j = w. Sort -4, 4, j.\nAnswer: -4, j, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1936\/9 - 215. Let n(u) be the first derivative of 0*u**5 + 3 + 0*u + 0*u**3 - c*u**6 - 1\/3*u**2 + 1\/3*u**4. Factor n(i).\nAnswer: -2*i*(i - 1)**2*(i + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*i + 2*i - 3*i**3 + 3*i + 962*i**2 - 968*i**2 + 2*i**4 - 2 to q*i**3 + j*i + b + c*i**2 + r*i**4 and give j.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 c when two letters picked without replacement from cceee.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = 11*o**3 - 4*o**2 + 14*o - 8. Let g be k(6). Suppose -4*h = -0*h - t - g, 3*t = 0. Suppose 0 = -5*f - 2*a + h, -4*a - 225 = -2*f + a. Is f prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:24 PM and 1:42 AM?\nAnswer: 618","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -w**2 - 16*w + 5. Determine x(-16).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (4\/54)\/(32\/(-304872)). Let y = -701 - a. Calculate the common denominator of y and -65\/4.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ecececicececnec. Give prob of sequence ei.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 32\/117 and 38\/35.\nAnswer: 4095","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(108) - 3*-2*sqrt(108))**2.\nAnswer: 5292","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k - 4*k = -850. Suppose 36 = f - a, 5*f + 3*a = -2*a + k. Is f prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 102 + -93. Solve -z + h = 3*h - n, h = -4*z + 1 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = 85*d. Let u(w) = 7*w. Calculate -3*r(b) + 35*u(b).\nAnswer: -10*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide 475 by -95.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 j, 1 i, and 1 m when four letters picked without replacement from ijvvminjjijjnjz?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 16.933 - 0.233. Let t = 82 + -59. Let j = t - n. Round j to the nearest integer.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 10 and 432?\nAnswer: 2160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 102 and 41973?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -16200 divided by 540\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2982814 is divided by 994266.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence la when two letters picked without replacement from aaaaaaalaaaaa?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -11227*b**2*j**2 - 127*b**2*m + 2*b*j**2*m - 4363*b*j*m + 2*j**2*m - 2*j*m + 5*j - 8*m wrt b?\nAnswer: -22454*j**2 - 254*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 674*j*p**2 - 906*p**2 wrt j.\nAnswer: 674*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*p - 130 + 34 = 3*h + 167, -48 = 3*p for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (175\/125)\/(2\/10).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((h + 5*h + 2*h)*(3 + 3 - 3) + 0 + 2*h + 0)*(2*h + 2*h - h) + h**2 + 0*h**2 + h**2.\nAnswer: 80*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) be the third derivative of -1\/20*p**5 + 0 + 0*p**4 + 0*p + 0*p**3 - 9\/80*p**6 - 26*p**2 - 9\/140*p**7. What is m in u(m) = 0?\nAnswer: -2\/3, -1\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l + 2*v + 26 = 0, 0*v - 4*v = -4*l - 32. Let y(o) = -o**2 - 7*o - 9. Determine y(l).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8.3433 millilitres in litres?\nAnswer: 0.0083433","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 81707.\nAnswer: 81707","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 182633 or 182576?\nAnswer: 182633","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -5\/6 (b) 0 (c) 0.1 (d) 1\/13 (e) 123\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -h**3 - 6*h**2 - h - 1. Suppose 1078 = 28*b + 1190. What is n(b)?\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z + 3*z - 4 = 0. Let d = 1 + z. Suppose 51 = d*j - 2*s, -5*j + 4*s + 85 = -s. List the prime factors of j.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -4.111639 to three decimal places.\nAnswer: -4.112","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1438161?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*c - 4*c = -56. Suppose 36 = 2*m + c. Suppose -6*y = -2*y - 4*h - 404, -5*y - 4*h + 487 = 0. What is the greatest common divisor of m and y?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine n, given that -3*n**2\/4 + 81*n\/2 + 165\/4 = 0.\nAnswer: -1, 55","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 272507050?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -2*i. Let k be (-7 + 6)\/(2\/(-6)). Let d(t) = t**2 - 5*t + 6. Let w be d(k). Suppose 3*c - 6*c + 9 = w. What is n(c)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -36.9 and -0.2276535?\nAnswer: 36.6723465","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = f + 10. Suppose -3*r + 3*c - 24 = 0, -r + 5 = -4*c + 19. What is the remainder when o(r) is divided by 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-4)*w*w\/((w\/(w\/(w\/w**(2\/7)))*w)\/w)*w*w\/(w**(-5)\/w)*w\/w**0)\/((w*w**(-2\/15))\/(w\/(w*w*w\/w**(-3\/7))))**(-22) assuming w is positive.\nAnswer: w**(8272\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 16, n: 3, e: 1}. Give prob of picking 4 y.\nAnswer: 364\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = k**3 + 19*k**2 - 40*k + 44. Suppose -45 = -4*d - 25, 5*d = -x + 4. What is l(x)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 384 - 380. Which is the nearest to -2\/7? (a) -0.2 (b) w (c) -22\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) be the third derivative of -s**6\/360 - s**4\/6 + 17*s**3\/6 - 9*s**2. Let x(c) be the first derivative of u(c). What is the derivative of x(v) wrt v?\nAnswer: -2*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 63\/(-567) + 1\/3. Which is smaller: q or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -123 = -k - 3*b, -5*b = 4*k - 658 + 173. Does 24 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1*-5*(756\/6345)\/(-14)?\nAnswer: 2\/47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.28 (b) -5064 (c) 0.4 (d) -2\/35 (e) 1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = 28*x**2 + 2*x + 1. Is i(-3) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 34640 from 1.647028.\nAnswer: -34638.352972","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 39 divide 25857?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = g**3 + g**2 - 54*g + 105. Let i be y(2). Solve 4*w - i*z + 7*z = -8, 4*z = 0 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven eighths of a hour in seconds?\nAnswer: 4950","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 99750559 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put -1759, 1\/3, 4 in decreasing order.\nAnswer: 4, 1\/3, -1759","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 159 is divided by 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) be the first derivative of 0*d + 1\/120*d**6 + 0*d**3 + 0*d**5 - 1\/2*d**2 - 1\/24*d**4 + 1. Let y(a) be the second derivative of i(a). Factor y(t).\nAnswer: t*(t - 1)*(t + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bz when two letters picked without replacement from rborrovoorzorvvroob.\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express -6*v + 25*v**3 + 26*v**3 - 80*v**3 + 31*v**3 as r + a*v**2 + y*v + d*v**3 and give r.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = 2*s**3 - 7*s**2 + 19*s - 22. Is 37 a factor of n(5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h = -3*i + 3, -3*h - i + 6*i = -9. Suppose h*u + 24 = 7*u. Calculate the highest common divisor of 54 and u.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (12\/((6\/3)\/(-1)))\/2?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0, 0.1, -1, 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 161585 is divided by 1138.\nAnswer: 1127","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 23892756 to the nearest integer?\nAnswer: 288","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-3\/4)\/o*o*o\/o**(6\/7)*o*o*o*o*o**(-1\/4)*o**(-5))\/((o*o**(2\/5)*o)**(-2\/85)*(o*o*(o\/((o**(2\/13)*o)\/o))\/o)\/(o\/o**(-2\/3))) assuming o is positive.\nAnswer: o**(-229748\/116025)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 2982 divided by -213\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (-87)\/145*(-4)\/(-3)\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = 7*f**2. Let j(o) = 21117*o. Determine h(j(n)).\nAnswer: 3121493823*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 268830 is divided by 10337.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*m**4\/9 + 4198*m**3\/9 - 11992996*m**2\/9 + 3993464*m\/3 + 2664176 = 0.\nAnswer: -3714, -1, 2, 1614","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 802230400 divided by 124\nAnswer: 6469600","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32 = 2*y + 2. List the prime factors of y.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h = 4*l - 6, 2*h - 5 = -2*h - 3*l. Suppose -4 = h*i - 54. Solve -7*s - i = -2*s for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -43\/294 + -1\/49. Let s(d) = -4*d + 5. Let h(y) = y - 1. Let c(n) = 3*h(n) + s(n). Let x be c(3). Is x >= m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 168 is divided by 58?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = 2*c, -u + 61*c - 57*c - 13 = 0. Let h(j) = -j**2 - 10*j + 14. Let q be h(-11). Solve -3*m + 27 = u*y, q*m + 0*y - 7 = y for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 252 minutes after 2:41 AM?\nAnswer: 6:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let 13*b**2 + b**3 - 11*b**2 - 2*b**3 - b**2 + 2*b = 0. What is b?\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 75023 (base 9) to base 3.\nAnswer: 2112000210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = 3*y - 15. Let u be 6\/10 - 155\/600*y. Which is the closest to 0? (a) u (b) 5 (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 6095 and 33351840.\nAnswer: 33351840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 21416.9436445 + 13.8266955. Let y = 21431 - h. Let k = -0.23 + y. Round k to four dps.\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -3*s**2 - 7*s + 0*s - 4 + s**3 - 2 + 19. Let l be p(3). Let i(g) = -g - 7. Let j be i(l). Is 2\/23 at least j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 751 divided by 751\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.1 and -28?\nAnswer: 2.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -422 times 0.05?\nAnswer: -21.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 2\/6 - 42\/(-9). Suppose 2 = -x*p + 12. Suppose j = -p*j + 12. Is j at most 6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3 - -2. Let a = 1.5962 - 13.5962. What is the biggest value in x, a, 1\/5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = 10*k. Suppose -m - 6 = -4*t + 8, -5*t = -20. Let a(i) = 3*i - 2*i + m*i - i. Calculate a(o(h)).\nAnswer: 20*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express -19 - 3*m**2 + m**2 - 19*m**2 - m + 3*m**2 + 11*m**2 + 3*m**3 in the form v + d*m**3 + p*m**2 + b*m and give d.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 72\/27*45\/(-20)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(2*sqrt(539) + sqrt(539)) - ((sqrt(539) + -2 - sqrt(539))*-3)**2.\nAnswer: -105*sqrt(11) - 36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 55\/2958 and -15\/232?\nAnswer: 11832","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 29\/8351560 and 65\/2.\nAnswer: 8351560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) be the third derivative of 31*i**4\/24 + 79*i**3 - 257*i**2. Let m be n(-15). Is m at least 132\/17?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((l*l\/((l*l\/l**(2\/3)*l)\/l))**(1\/27))**(-1\/41))**(-6\/17))**(-14\/9) assuming l is positive.\nAnswer: l**(-56\/169371)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 70.18519277373 - 0.08519134373. Let w = 70.1 - x. Round w to six decimal places.\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 29 - 27. Solve -1 = -2*b - 4*w - 17, 0 = 2*b - o*w + 4 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 - (1 + -1 + -4)) + (12 - 10)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:48 AM and 11:29 AM?\nAnswer: 101","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -467, -643, -811, -971, -1123, -1267?\n\"Answer: 4*s**2 - 188*s - 283","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1149?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 110 is divided by 31.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*m - 10*m + 20. Let u be ((-11)\/(-55))\/(3\/m). What is the closest to u in -0.3, 2\/9, -3?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3 times -198738?\nAnswer: 59621.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -17 - ((-14 - 0) + -55 + 37).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -p**2 + 6*p + 71. Let n be l(-6). Let u(h) = 69*h + 4. Determine u(n).\nAnswer: -65","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 84550 and 190?\nAnswer: 84550","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 - -1 - (-81 + 98)?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000022482216 to 6 decimal places.\nAnswer: -0.000022","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide -17400192 by 1356.\nAnswer: -12832","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -x**3 + 9*x**2 - 7*x + 8. Suppose 2*o + 5*y = 31, y = 2 + 1. What is the lowest common multiple of k(o) and 14?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 32*n**2 - 116*n**2 - 40*n**2 to the form o*n**2 + g*n + d and give o.\nAnswer: -124","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = m**2 - 2754*m. Let r(k) = 5*k. Calculate s(r(y)).\nAnswer: 25*y**2 - 13770*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + 7 + (-18 - -4)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) be the third derivative of x**6\/120 - x**5\/60 - x**4\/12 + x**3\/2 - x**2. Let p be o(3). Let q = p + -8. Solve -2 = 3*i - 4*w + 5, q = i + w for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2510 is divided by ((-2353)\/(-5) + (-54)\/(-135))*2\/6.\nAnswer: 155","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 160936014 a multiple of 1160?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -345*-4.\nAnswer: 1380","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -w = -2*d - 10, -123*w + 116*w + 5*d + 61 = 0 for w.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Work out 12.2 * -2.\nAnswer: -24.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + -102 + 53317\/524?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 582\/(-36) - (-4)\/24. What is the hundreds digit of (-20812)\/(-32) - (-6)\/r?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) be the third derivative of -r**8\/24 + 3*r**4\/8 + 15*r**2. Find the second derivative of d(v) wrt v.\nAnswer: -280*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 97\/16 and 61\/3915600.\nAnswer: 3915600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand -32*x - 11 - 182*x - 2 + 23 + (1 + 0 - 2)*(-2*x + 2*x + x) - 4*x + 2*x + x.\nAnswer: -216*x + 10","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find o such that -2*o**2 + 18616*o + 18618 = 0.\nAnswer: -1, 9309","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-136)\/476)\/((-7)\/(-98)). Which is the smallest value? (a) -2 (b) -1\/4 (c) f (d) 354 (e) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -15.1 times 0.9?\nAnswer: -13.59","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 340, 335, 318, 283, 224, 135, 10, -157?\n\"Answer: -p**3 + 2*p + 339","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: (-11 - -8) + 2 + 0\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 11*(-6)\/(-33) - -2.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 45*-0.04.\nAnswer: -1.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor 10*s**2 - 8*s - 14*s**2 + 8*s**2 + 4*s**3.\nAnswer: 4*s*(s - 1)*(s + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 14c764 (base 13) to base 6.\nAnswer: 14555434","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 14520063 and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-21\/4)*t)\/t**(-6\/13) assuming t is positive.\nAnswer: t**(-197\/52)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -33\/893342 and 187\/450?\nAnswer: 201001950","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -o + 4*v + 24, -3*v + 5 = o + 4*o. What is the lowest common multiple of o and 22?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -6 by -78308.\nAnswer: 3\/39154","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 551152 is divided by 544829?\nAnswer: 6323","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/7 in 5, 3, -208316, -0.1, 0?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 391 and 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.1 * -167.2.\nAnswer: 16.72","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + -4*1*((sqrt(7) + -2)**2*6 + (-1 + sqrt(7))*3).\nAnswer: -256 + 84*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/50 of a litre?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 47384 (base 10) to base 4\nAnswer: 23210120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-21)\/21)\/((-2)\/(-2))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v + 23 = 13, 0 = 5*s + v - 12. Put 496\/11, -0.1, s, 5, -3 in descending order.\nAnswer: 496\/11, 5, s, -0.1, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (1\/8)\/((-1)\/218). Let z = q + 77\/2. What is the common denominator of z and 3\/(-9) + (-190)\/12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3 + -10. Let c = n - -12. Let w = -5844.2 + 5844. What is the second biggest value in w, 0, c?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1501 = 2*t - 341. What is t rounded to the nearest 100?\nAnswer: -600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + -3 + (-1 + (-6*sqrt(180) - sqrt(180)) - sqrt(180)) + 6*sqrt(180)*4 + 3)**2.\nAnswer: -384*sqrt(5) + 46084","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 136*c*s**3 + 1383*c*s - 44*c + 10337*s**3 - 16*s**2 wrt s.\nAnswer: 816*c + 62022","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-1 + u**3 + 1)*(3*u + 0*u - 5*u) + 2*u - 2*u**4 - 2*u - 4*u**2 - 3*u**4 + 4*u**2)*(2*u + u + 5*u).\nAnswer: -56*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u - 13 = -4*b + 2*u, 4*b = 3*u + 9. Suppose 0 = -b*s + 28 + 50. Suppose -s + 6 = -2*p - 2*y, 3*y = -2*p + 16. Is 7 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.055 + -7.055. Which is the third smallest value? (a) -2 (b) h (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 15\/(-2)*(-19)\/95. Let y = -0.8 + -0.2. Which is the nearest to -0.1? (a) 2\/11 (b) w (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -26757\/43 or -621?\nAnswer: -26757\/43","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t = -28 - 53. Let v = -24 + t. Let y be (v + -2)\/(-7) + 1896\/(-56). Round y to the nearest one hundred.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 5 + 325330524?\nAnswer: 325330531","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -13*b**2 + 5*b + 4. Let l be x(-1). Let f be (-3)\/(-6)*l\/161. What is the second biggest value in 1, f, 1\/6?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 2.620375l?\nAnswer: 2620.375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 2752 (base 8) in base 11?\nAnswer: 1157","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(13)*1 + 3 + sqrt(13) - (sqrt(117) - -2*sqrt(117))\/sqrt(9).\nAnswer: -sqrt(13) + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 778239?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 1\/8, -1\/3, -2\/15, 0.4, -22.\nAnswer: -22, -2, -1\/3, -2\/15, 1\/8, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 22.1 - -399.9. Let a = 421.68 - u. What is the third biggest value in 2\/3, a, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) be the first derivative of -17*i**3\/3 + 49. Let b(l) = -2*l. Calculate u(b(r)).\nAnswer: -68*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-5\/4)*v)\/(v\/(v\/v**(-7\/6)))*((v*v**(-1\/13)\/v)\/v*v)\/((v\/v**(-12))\/v) assuming v is positive.\nAnswer: v**(-1741\/156)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3 - -10) + -6 - (2 + -5).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1220 (base 6) to base 15.\nAnswer: -150","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -25 (b) 12 (c) 2\/5 (d) 7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 333443 (base 6) to base 15\nAnswer: 8490","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -6*y**3 - 4*y**2 + 10. Suppose 4*h - 45 = -5*m, -3*h = -0*h - 15. Let o be f(m). What is o rounded to the nearest one hundred?\nAnswer: -800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve c - 4*y = -2*y + 3, -4*c = -2*y for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = z**2 - 6*z - 3. Let g(s) = 5*s + 10. Let k(x) = 10*x + 18. Let o(t) = 7*g(t) - 4*k(t). Suppose 699 - 729 = 15*v. Determine v*f(b) + 3*o(b).\nAnswer: -2*b**2 - 3*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from pvyhw. Give prob of sequence vyp.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 31\/19404 and -5\/18.\nAnswer: 19404","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -1 + 0 + 2 + 2*s + s. Let p(o) = -4*o + 5. Let a(t) = -1. Let d(m) = -6*a(m) - p(m). What is -3*b(v) + 2*d(v)?\nAnswer: -v - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24 = 168*x - 171*x for x.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = 269*d + 6188. Determine a(-23).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4225?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 164489.\nAnswer: 13, 12653","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12140 = -9*j + 5*j. Suppose -21*i + 20*i = -j. Is i prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -296*r + 299*r. Solve -4*t - 5*t + 9 = r for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) be the second derivative of -17*n**3\/3 + n. Suppose -5*p - 16 = 2*r, -18 = p + 5*r - 1. Is w(p) a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*a + 14 = -y, 26 = -200*y + 205*y - 2*a - 0*a for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 217*b**2 + 21*b**3 + 22013*b - 107*b**2 - 22013*b - 110*b**2.\nAnswer: 21*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(sqrt(190) - (sqrt(190)*-1 - sqrt(190))) + (sqrt(190) - -1*(sqrt(190) - sqrt(190)*2)))\/(sqrt(1000) - (sqrt(1000)*2 - sqrt(1000))*-3).\nAnswer: 9*sqrt(19)\/40","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 take away 77081.22673?\nAnswer: -77081.22673","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 319.64 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9\/6*(-14)\/(-21)*-7 - 2?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x + 4*s - 228 = 0, -4*s = 2*x - 7*s - 119. Suppose -3*b + 5*u = -6*b + x, -3*u + 102 = 5*b. Is b prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j + 2781 = 5*z, -z - 2*j + 567 = j. Does 9 divide ((-20)\/4 - -3)*z\/(-4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1 + -4. Suppose -13 + 27 = 2*h + 4*n, 3*h = -2*n - 3. Which is the nearest to s? (a) 1\/3 (b) 4\/9 (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-6*(-75)\/(-6))\/4 and ((-9)\/12)\/(27\/(-262))?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.5 - -1. Let u = -28 + 179. Let v = u - 147. Put v, -8, l in decreasing order.\nAnswer: v, l, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3037*c**5 - c**3 + 8751*c wrt c.\nAnswer: -60740*c**3 - 6*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 71a87d (base 14) in base 7?\nAnswer: 44400616","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 19 or -5?\nAnswer: 19","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) be the first derivative of s**4\/4 - 4*s**3\/3 + 5*s + 17. Let b be p(4). Solve b*z = 20, -2*j + 5*z + 4 = 16 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 49850*y**2 - 6281085*y - 1890 = 0. Calculate y.\nAnswer: -3\/9970, 126","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((x*x**1)\/x)**(-7\/12)\/((x\/x**(4\/9)*x)\/x**(-1\/4)))**(-5\/2) assuming x is positive.\nAnswer: x**(215\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 766445113.\nAnswer: 7, 15641737","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1308440?\nAnswer: 2, 5, 7, 4673","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((0 - 2*d + 0)*(-3 - 2 + 4) - d - 4*d + 11*d)*(-2374543*d - 1817*d**2 + 2374543*d) to the form o*d + t*d**3 + z + k*d**2 and give t.\nAnswer: -14536","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 151*w - 46 - 71 = 185. Let p(g) = -g**2 + 4*g + 8. Let l be p(6). Put 50, w, l in increasing order.\nAnswer: l, w, 50","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 298 minutes after 8:11 PM?\nAnswer: 1:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 258277 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k = -4*i + 1016, -i + 28 + 240 = -4*k. What are the prime factors of i?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7795154?\nAnswer: 2, 89, 43793","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -27064776*s**3 + 13532385*s**3 + 13532388*s**3.\nAnswer: -3*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-13)\/(8216\/(-48))*((-8)\/12 + 1)?\nAnswer: 2\/79","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*sqrt(704))\/sqrt(4).\nAnswer: -12*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = g**2 - 9*g + 10. Let p be r(8). Let y = -3 + 2. Let b be 13 - (0 + 0 - y). Solve -x - p*x + b = 0 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -12592 - -13377. What is the tens digit of v?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23290227 a multiple of 1647?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -5792\/9 - -634. Which is the biggest value? (a) -0.2 (b) k (c) 64\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12193094 is divided by 5977?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.01605597986 to 3 dps.\nAnswer: -0.016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -3 + -31413213?\nAnswer: -31413220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 391339842 a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 385380697.\nAnswer: 13, 139, 419, 509","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2 - -4) + -12 + 15.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -30*l + 57*l - 26*l = 4, -4*l = 4*h - 5*l + 8 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0215585985 to six dps.\nAnswer: -0.021559","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*u + 7 = 3*m - 8, 3*u = -2*m - 9 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 32 a factor of 2365?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 262628552 to the power of 1\/2, to the nearest integer?\nAnswer: 16206","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:02 AM and 4:04 PM?\nAnswer: 482","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:30 PM and 2:15 AM?\nAnswer: 585","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -451*b - 8. Let u(s) = -449*s - 11. Calculate 3*t(d) - 2*u(d).\nAnswer: -455*d - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:28 AM and 6:10 PM?\nAnswer: 402","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ktltdmm. Give prob of picking 1 m and 1 d.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-3 - -3) + (-15)\/9)*3.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/6? (a) 0.4 (b) 0.6 (c) 7.7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*z + 10*z - 6 = 0. Let q(w) = 1 - w**2 - 2*w**3 - 2*w + 2 + 4*w. Is q(z) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2.96 * 21167.\nAnswer: 62654.32","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 at least 433\/712010?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = u + 25. Let v be k(-6). Suppose -z - f + v = -4*f, -5*f = 5. Do 16 and z have different values?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1321\/14 or 94?\nAnswer: 94","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -97 - -267. Let d = v + -170.4. Sort -13, 4, 5\/3, d.\nAnswer: -13, d, 5\/3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00349848 rounded to 5 decimal places?\nAnswer: -0.0035","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*h + 52*u - 54*u + 1580, -5*u = -5*h + 3950. What is the tens digit of h?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7360.19 minutes in milliseconds?\nAnswer: 441611400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -61? (a) 5 (b) 4 (c) 1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 5880160 a multiple of 786?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = 4*w - 6. Let o be c(5). Let b = o - 10. Let n = 31 + -26. Solve 5*s = b*h - 45, h + n*s + 0*s = -20 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 119\/42 + 2\/12.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 32065 to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3969 + -15787\/4. Let x = 16443 + -361673\/22. Find the common denominator of k and x.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2230.7 rounded to the nearest 100?\nAnswer: 2200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is h in 5*h**2 + 87615*h + 87610 = 0?\nAnswer: -17522, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 293778.63us?\nAnswer: 0.000003400215625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 37, 22, 1, -26, -59, -98, -143?\nAnswer: -194","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.261 and 150243.\nAnswer: 150242.739","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 12\/(-3) - (-10)\/(30\/(-117)). Sort 5, 0.06, y in increasing order.\nAnswer: y, 0.06, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 51 a factor of 376?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 + 4 + -9 - -4 - 3?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -2260 + 15236?\nAnswer: 12ca6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(1 + sqrt(612)) + (0 + sqrt(612) - sqrt(612))*5.\nAnswer: 6 + 36*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 3, b: 9, n: 1, q: 2, i: 4}. What is prob of sequence iqbq?\nAnswer: 1\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -42 = -5*y + 38. Suppose 5*r = -2*i + 12, -3*r + y = -2*i - 4. Suppose 8*c - 3*c = 0. Solve c = 5*w - r*w - 3*n + 5, -5 = 5*w + 5*n for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/b**(-14)*b*b**(6\/11))\/(b\/b**(1\/4))**9 assuming b is positive.\nAnswer: b**(431\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -64 in 0, 0.3, 5, -5, -7?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -6.943 - -0.693. Let w = o + 6.25. What is the closest to 1 in -4\/7, -0.5, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z + x - 8 = 3*z, 3*z - 2*x + 12 = 0. Let s = -8 - z. What is the biggest value in 4, 4\/3, s?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 10600788 and 144.\nAnswer: 127209456","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2*(-6 + 7)*3\/2?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) be the first derivative of -3*r**4\/2 + 31*r**2\/2 + 10. What is the second derivative of m(p) wrt p?\nAnswer: -36*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -746426*b**3 + 4*b**2 + 68246*b?\nAnswer: -4478556","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = 101*v - 25. Let o(y) = 101*y - 25. Let h(x) = 5*o(x) - 6*t(x). Let s be h(-6). Suppose -s = k - 2*k. Is k a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*l - 3 - 2*l - 2*l**3 + 3*l - 18*l**2 - l - 4*l in the form w*l**3 + b*l**2 + q + z*l and give w.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -473 + 650 = -187*f + 2783 + 2256 for f.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -55*p = -48*p - 1120. Is p a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*z**3 - z**3 + 2*z - 2*z**2 + 7*z**3 - 2*z**3 to u + o*z + f*z**2 + t*z**3 and give t.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) be the first derivative of -1\/10*g**5 + 0*g + 1\/6*g**3 + 35 - 1\/8*g**4 + 0*g**2 + 1\/12*g**6. Let u(t) = 0. Calculate t.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -341, -951, -1983, -3443, -5337, -7671?\n\"Answer: -o**3 - 205*o**2 + 12*o - 147","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7350801 divided by 4.\nAnswer: 7350801\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in seventy-four sevenths of a week?\nAnswer: 1776","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*p + 23 - 77 = 0 for p.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 6\/5 of a microgram?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*p**3 - 2*p**3 - p**3)*(-p**2 - p**2 - p**2)*(6 - 3 - 4).\nAnswer: -15*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -2*m**3 - m - 1. Let b be h(-1). Let n = b - 0. What is the units digit of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = 6123*y**2 - 2. Let p(k) = -16*k. What is p(l(z))?\nAnswer: -97968*z**2 + 32","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 54689 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 59598?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 6 and -38?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 k when four letters picked without replacement from kkkk.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -85\/16 and (-2)\/(-13) + 214\/(-208)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 6 - 2)*(-4 + g + 4) + 0*g - 21*g - 50*g + (-1 + 2 - 3)*(0*g + 2*g - g).\nAnswer: -70*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2 - 1212?\nAnswer: -1210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 702 is divided by 162?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -w**3 + 7*w**2 - 2*w + 17. Determine t(8).\nAnswer: -63","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((k**(1\/6)*k)\/k)\/(k\/(k\/(k*k**7))*k))\/(k**(-4)*k\/k**12) assuming k is positive.\nAnswer: k**(37\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 713 a factor of 98304875?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*g = -5*j - 20*g + 2748, 10 = 5*g. Calculate the remainder when j is divided by 11.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -y**3 - 2*y**2 + y - 2. Let k = -197 - -80. Let i be (120\/(-7))\/(23\/161). Let x = i - k. Determine o(x).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 53734.8kg to tonnes.\nAnswer: 53.7348","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -4. Let y(p) = -p**2 + 1. Suppose 0*r = -2*r + 2. What is r*k(j) + 4*y(j)?\nAnswer: -4*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 2*(1 + (90 - -1)). What is the greatest common divisor of w and 23?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 227046 and -12.\nAnswer: -2724552","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -83.2 - -84.2. Which is the nearest to o? (a) 46 (b) -2\/3 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 20 and 480?\nAnswer: 480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*k**2 + 3*k**2 + 1547*k**3 - 450*k**3 - 546*k**3 - 545*k**3.\nAnswer: 6*k**3 + 10*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 11633 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -7, 21, 69, 137, 225?\nAnswer: 333","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -98 + 68. Suppose 15*b - 16*b = 4*s + 113, 4*b - 28 = 0. Is r smaller than s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8*c**2 + 5*c - 5*c)*(-c + 0*c + 0*c).\nAnswer: -8*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-28)\/((-364)\/39))\/(((-1)\/(-2))\/1)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*q - 3*q = -57. Let c = 12 - 8. Suppose c = -2*t + 2, -2*p + 2*t = -24. What is the remainder when q is divided by p?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = 59*n - 4. Let r be z(2). Suppose -u + r = -0*s - 3*s, -5*s = 5*u - 610. Is 20 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -79 + 80. Let b = 0.76 + -0.7. Sort b, 2, x.\nAnswer: b, x, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 23 divide 4*-1 - (60*-9)\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 (base 8) in base 16?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -49*1643.5.\nAnswer: -80531.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand q**4 - 8*q**4 + 3*q**4 + (q - 5*q + 5*q)*(3*q**3 - 3*q**2 + 3*q**2).\nAnswer: -q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 - (3 + -7 + 0 + 3)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 3 - (3 + 3 + -2). Let y be (-2 - -6)*(-2 - j). Let c(r) = -r**3 - 4*r**2 + 5. Let h be c(y). Solve -i = -3*s - 2 - 3, h*i = -2*s + 25 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 41 - -7. Let p be 69 + 3 + (-2 - -2) + 0. What is the highest common factor of p and h?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 134 - 105 = x. Let g(u) = u**3 - 31*u**2 + 63*u + 8. Calculate the remainder when g(x) is divided by 14.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -k**3 + 11*k**2 - 10*k.\nAnswer: -k*(k - 10)*(k - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) be the third derivative of y**8\/3864 - 2*y**7\/2415 - y**6\/690 + 2*y**5\/345 + y**4\/276 - 2*y**3\/69 + 8*y**2. Determine f so that q(f) = 0.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 0\/((-10)\/(-15)*-3) + -15. Which is bigger: b or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -114, -183, -304, -483, -726, -1039, -1428, -1899?\nAnswer: -2458","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2 - 2. Suppose 5 = x - j*x. What is the second derivative of 2*o + o**2 - 5 + x wrt o?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 3 (b) 4\/3 (c) 0.5 (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -1856800 divided by 4\nAnswer: -464200","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = 135*u**2. Let g(i) = 6*i. Determine g(k(y)).\nAnswer: 810*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 488 minutes after 3:34 PM?\nAnswer: 11:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) be the third derivative of -3*u**2 + 0 + 1\/24*u**4 + 0*u**3 + 0*u. Let s(x) = 3*x**2 - 10*x**2 + x**2. Give d(s(c)).\nAnswer: -6*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) be the first derivative of -1\/7*t**3 - 3\/2*t**2 - 36\/7*t - 64. Factor g(f).\nAnswer: -3*(f + 3)*(f + 4)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1887843 divided by -156\nAnswer: -629281\/52","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t + 17 = -2*n, 35 = -34*t + 39*t - 5*n. Let d(w) = 4*w**3 - 2*w**2 + 17*w. Let c(g) = g**3 - g**2 - g. Determine t*d(i) - 2*c(i).\nAnswer: 2*i**3 + 19*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -6020, -4911, -1916, 3907, 13500?\n\"Answer: 157*v**3 + v**2 + 7*v - 6185","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 459 + -1394\/3. What is the biggest value in 1\/3, -2\/19, t?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m + 9 + 3 = 0. Let n be -3*m\/(27\/12). Sort -1, n, 3.\nAnswer: -1, 3, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*b = 3*k - b - 4, k = b - 2. What is the second derivative of 131 - 131 + k*y**3 - 4*y wrt y?\nAnswer: 18*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -48 - 14*r + 48 in the form c + v*r and give v.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 155 - 96. Calculate the remainder when t is divided by 15.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve y**4 - 64*y**3 - 226*y**2 + 1696*y - 1407 = 0 for y.\nAnswer: -7, 1, 3, 67","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0 + 7. Let r = d - 4. Suppose 3 = 3*w - r. Calculate the highest common factor of w and 8.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5 take away 1.044859?\nAnswer: -0.544859","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(1872)*-2*-3.\nAnswer: 72*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = b. Let z(j) be the third derivative of 5*j**7\/504 - 7*j**4\/24 - 17*j**2. Let q(n) be the second derivative of z(n). Calculate q(d(s)).\nAnswer: 25*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 32.02 greater than or equal to -70\/13?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l - w = 25, -4*l + 10 = 2*w - 0*w. What is the closest to 1 in -0.4, -98, l?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 16321?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -3*q - 14. Let t = -15 + 10. Let s be p(t). Put -5, s, 2 in decreasing order.\nAnswer: 2, s, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/2? (a) 5 (b) 46 (c) 51 (d) -3 (e) 1\/27\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 62 minutes before 6:26 AM?\nAnswer: 5:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 1105302757 to the power of 1\/2, to the nearest integer?\nAnswer: 33246","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = y**2 + 2*y + 12. Give h(0).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3384 - 3387. What is the second smallest value in 3, m, 1.6, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*s + 3*s - 9. Suppose -s = 4*k - 23. What is the third derivative of -4*o**2 + 4*o**5 + k*o**5 - 10*o**2 wrt o?\nAnswer: 540*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g + 192 = -g. Suppose -2*d = 3*k - 0 - 3, -5*k - 21 = -d. What is the greatest common divisor of d and g?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -191 * 8.5\nAnswer: -1623.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k + 1 = -2*g, 4*g + 4*k = -g - 4. Let o(r) = r**2 - r. What is o(g)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.3*-1671.1\nAnswer: 501.33","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k = -i - 24, 2*k - 6*k - 3*i = -82. Suppose k*l - 21*l = 50. What is the highest common divisor of 20 and l?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -924.366 to the nearest 100.\nAnswer: -900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (44\/(-33))\/(2\/(-9)). Suppose -l + g*l = -5*z + 20, 4 = 2*l + z. Let o(s) = s**3 + s - 13. Determine o(l).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -134*v - 140*v - 142*v + 558*v - 144*v.\nAnswer: -2*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -6213*x**5 + x**4 + 2*x**3 - 11*x**2 + 117*x + 1.\nAnswer: -372780*x**2 + 24*x + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 1\/4, -0.11, 2, 1?\nAnswer: -0.11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) be the first derivative of -f**3\/3 - f**2 + 11*f + 5. Let u(b) be the first derivative of h(b). What is u(-4)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -558 + 557.9999341. Round s to six decimal places.\nAnswer: -0.000066","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in 0.01945, 0.4, -175?\nAnswer: 0.01945","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = 6*x + 10. Let u(h) = -h - 1. What is -8*u(i) - w(i)?\nAnswer: 2*i - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -124440422 (base 5) to base 16\nAnswer: -98767","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + 148\/(-16) + 92\/(-16) + 5?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 493, 2051, 4667, 8335, 13049?\n\"Answer: -d**3 + 535*d**2 - 40*d - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -s**2 - 2*s. Let a be f(-2). Suppose 3*v + 4*v - 98 = a. Solve -v = -4*l + 5*l + 2*k, -l + 3*k + 11 = 0 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11665 is divided by 729.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 30\/168*-14*(-84)\/(-11025).\nAnswer: -2\/105","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 588 minutes before 3:21 AM?\nAnswer: 5:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 46 is divided by (-34)\/51 - (-38)\/3?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*s + 424 = -s. Let m = -51 - s. What is the second derivative of 0*p**2 - p**m - 1005*p + 994*p wrt p?\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -8166*z + 4082*z + 4047*z in the form w*z + d and give w.\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 159?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -1101010000101 (base 2) in base 9?\nAnswer: -10273","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*k - 153*k**2 - 39*k**2 - 6 + 185*k**2.\nAnswer: -7*k**2 + 7*k - 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14521?\nAnswer: 13, 1117","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = 1715*l - 8589. Calculate m(5).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*o + 2*o + 20 = -4*l, -3*l = 5*o - 11 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z and 1 x when two letters picked without replacement from zxxznwxnxwwzwnxnxzzb?\nAnswer: 3\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = 3*w**3 + 54*w**2 + 52*w + 14. Calculate s(-17).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) be the first derivative of 0*a**3 + 0*a - 16\/5*a**5 + 4*a**2 + 0*a**4 - 4. Find the second derivative of l(q) wrt q.\nAnswer: -192*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 9911891*x - 1367325?\nAnswer: 9911891","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + 22 = 4*d, -2*d - t - 31 = -6*d. Let o(i) = 21*i + 11. Let r be o(d). Suppose 11*v - 106 - r = 0. Is 12 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*f + 13*f = 175. What is the highest common factor of 224 and f?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rr when two letters picked without replacement from {u: 3, r: 6, f: 1, p: 4}.\nAnswer: 15\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 1\/19, 5\/3, 7, -2?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = 128*j + 1014. What is l(-6)?\nAnswer: 246","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -80856*x + 80854. What is f(1)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -120210345 (base 6) in base 11?\nAnswer: -130135a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -55\/9180832 and 25\/543172.\nAnswer: 1221050656","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*r + 40 = 23*r for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j = 4*o + 10 - 55, -5*j + 38 = 3*o. Calculate the remainder when (9 - 11)*(-9 + -1) is divided by o.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (12\/42*7 + (-18)\/11)\/(2 - 1)?\nAnswer: 4\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = i + 4*i - 4*b - 500, -3*i + 5*b = -287. Is 26 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.03053 and -0.7?\nAnswer: 0.021371","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -383858.225 rounded to the nearest 1000?\nAnswer: -384000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 22 divided by 218?\nAnswer: 11\/109","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4740, 5805, 8692, 14313, 23580, 37405, 56700?\nAnswer: 82377","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 204517194 and 42.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -207, -304, -297, -186?\n\"Answer: 52*i**2 - 253*i - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 12*w**2 + 135296*w**4 + 289*w**6 - 135296*w**4 + 2 - 2*w**5 wrt w.\nAnswer: 34680*w**3 - 120*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 530*m**4 + 530*m wrt m?\nAnswer: 6360*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(63)\/(sqrt(9) + (sqrt(27)*2)\/sqrt(3) + sqrt(9))*3)**2.\nAnswer: 63\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 17 + -17.09. Let x = 0.11 - k. Does x = -0.6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-1584)\/55)\/36 - (-2)\/10*4. Sort -16, -5, -7, 1, w in ascending order.\nAnswer: -16, -7, -5, w, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 261663833 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1010010001101001101 - -10?\nAnswer: 1010010001101001111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 11578334, 23156666, 34734998, 46313330, 57891662?\n\"Answer: 11578332*r + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from sstnqsqs. What is prob of sequence nq?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o = 5*o - 388. Is o a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 = i + 12 - 29. What is the closest to 0.1 in 2\/109, -6, i?\nAnswer: 2\/109","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 16830580 to the nearest integer?\nAnswer: 4103","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2 - 2. Suppose a = -10*i + 5*i - l + 30, 3*i + 5*l + 4 = 0. Suppose -156 = -i*m + 3*m. Does 13 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2 + ((-81)\/35 - 16\/56). Suppose -5*q + 4 = -6*q. Let t be (2\/q)\/(221\/68). Which is the third biggest value? (a) s (b) t (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 639215*7.5.\nAnswer: 4794112.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:15 PM and 10:06 PM?\nAnswer: 171","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 24026 is divided by 4615?\nAnswer: 951","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4816 by -1.\nAnswer: 4816","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -341*c**4 + 321 wrt c?\nAnswer: -1364*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i + 3*z = 13, 2*z + z - 9 = 3*i. What are the prime factors of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*j = -3*j. Suppose -55 = -2*c + 5*q, 662*q = -2*c + 660*q - 8. Solve 2*w - 8 = -3*z - 31, j = -c*w + 4*z for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -4 + 3 - 1 + 15*n**2 - 8*n - 16*n**2. Calculate c(-6).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/3? (a) 0.02 (b) -0.2 (c) -1\/2 (d) -4\/13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*p**3 - 60*p**2 + 69*p - 25 - 12*p**2 + 7 + 19*p**3.\nAnswer: 3*(p - 2)*(p - 1)*(7*p - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -113 + 113.77. What is the smallest value in -5, r, 0?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.013 - 0.133. Which is the second biggest value? (a) f (b) -3 (c) -5 (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = 322 - 322 + 2*o. Let z(p) = 4*p. Calculate a(z(s)).\nAnswer: 8*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide 14032 by -4.\nAnswer: -3508","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 509 = 103*z - 418 for z.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 623733 and 31809.\nAnswer: 14345859","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -41.11 - -41. What is the third smallest value in 2, -1, a, 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 22220002 + 1112220?\nAnswer: 101102222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -h**2 - 5*h - 2. Let p be d(-4). Let x be p - 4*2\/4. Let j = -118 + 130. Solve -4*b - 27 = -5*l, -4*b + x*b - j = 0 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1 by -289680.\nAnswer: 1\/289680","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m\/(m*m**(3\/4)\/m)*m\/(m\/m**1*m))\/(m**(-7)*(m**(-13)*m)\/m))**(-44) assuming m is positive.\nAnswer: m**(-891)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.0853 and 1.4.\nAnswer: -0.11942","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 10.0935 times -1\nAnswer: -10.0935","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 8314 to the nearest one hundred.\nAnswer: 8300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 0.9545079 decades?\nAnswer: 9.545079","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 7 - 3. Suppose d - 10 = -f*d. Let t be 52\/(-28) + d + 0. Which is the closest to -1? (a) -0.2 (b) t (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 43498027 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -94186 = o + 44896. Let w = -78082 - o. What is w rounded to the nearest 10000?\nAnswer: 60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-278325)\/(-4948)*240\/200*(-20)\/(-18)?\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 148 and 19795.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -v - 2 + 5. Suppose 7 = -v*p - h + 17, 0 = -3*h + 12. Suppose 0 = -0*s - p*s + 20. What is the tens digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + 24 - -4 - 19?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1105\/(-78) + 14)*8.\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -2*l. Let t(u) be the second derivative of -u**4\/12 + u. What is s(t(z))?\nAnswer: 2*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -2*z**2 - 159*z - 797. Give w(-74).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1016\/505 - 82\/101. Determine b so that 3\/5*b + 3\/5*b**2 - y = 0.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = p - 1. Let d be i(6). Suppose -y - 4*o + 6 = 0, 3*o + 21 = -2*y + 6*o. Let t(k) = -5*k. Let j(s) = -4*s. Give d*t(u) + y*j(u).\nAnswer: -u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 46 + -27. Let w(b) = -o*b + 22*b + 3 + 20*b. Is w(3) a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (75\/975)\/(((-9)\/3)\/(-195)). Let v(q) be the first derivative of 0*q - 1\/6*q**6 + 1\/5*q**c + 0*q**2 + 1\/4*q**4 - 45 - 1\/3*q**3. Factor v(k).\nAnswer: -k**2*(k - 1)**2*(k + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 94032 and 11826.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (4 + 2)*4\/(24\/15). Let y(b) = b**2 - 14*b - 10. What is y(n)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p + 189 = 5*o - 3*o, 5*o + 2*p = 477. Suppose -3*t + 4 = s, s + 15*t = 20*t + 36. Calculate the remainder when o is divided by s.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1179\/20 + -286\/5. Which is the third smallest value? (a) n (b) -7 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2aa45 (base 12) to base 9\nAnswer: 101568","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zq when two letters picked without replacement from zwqzwzwwwzzwzwzwwzww?\nAnswer: 2\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000094860854 rounded to 4 dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 305 - 305.0001741. What is b rounded to five dps?\nAnswer: -0.00017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 96 + -91. Suppose 3*n = 4*v - 96, -3*n + 8*n + 4*v + 128 = 0. What are the prime factors of n\/10 - -3 - (-59)\/u?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find w such that 3*w**4 + 6043*w**3 + 32169*w**2 + 50237*w + 24108 = 0.\nAnswer: -2009, -3, -4\/3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -105656*c**4*q + 22*c**2*q**2 - 1181693*c*q**2 wrt c?\nAnswer: -1267872*c**2*q + 44*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 45796 = 5*j - 3*j - 3*w, 4*j = 5*w + 91594. Is j prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + -3*1*sqrt(448) + sqrt(448) + -4)**2.\nAnswer: 32*sqrt(7) + 1793","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 7069474?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 3105*y**3 + 10427*y**2 + 149716293?\nAnswer: 9315*y**2 + 20854*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p = 3*c - 0 - 23, 0 = c - 5*p - 21. Let d = -8 + c. Find the first derivative of -3*x**3 + x**3 + 4 - d wrt x.\nAnswer: -6*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -56*h**3 + 51*h**3 - 3575*h**2 + 361*h**4 - 240*h**3 - 366*h**4 - 16335*h.\nAnswer: -5*h*(h + 11)**2*(h + 27)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 5 (b) 0.7 (c) 1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -508*i**4 - 4*i**3 - 3*i - 310. Let k(w) = 1523*w**4 + 14*w**3 + 10*w + 932. Let a(s) = 2*k(s) + 7*p(s). What is the second derivative of a(y) wrt y?\nAnswer: -6120*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 249504 to the nearest integer?\nAnswer: 500","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 9 - 0.3. Let i = 9 - y. Let x = -0.3 + 0. Which is the second biggest value? (a) x (b) i (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -21*a. Let o(t) = 106*t + 1. What is -2*o(i) - 11*y(i)?\nAnswer: 19*i - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 250609 - 1.\nAnswer: 250608","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -497 + 498. Let m(d) = 8*d - 5. Let h be m(a). Solve v - 17 = 5*v - 5*i, 14 = -h*v + 4*i for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 200047 to the nearest integer?\nAnswer: 447","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = q + 90. Let f = 134 + q. What are the prime factors of f?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jt when two letters picked without replacement from vtvmjvvvvttmmxmvtx.\nAnswer: 2\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1125 - 1006. What is the remainder when n is divided by 64?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**(1\/2))**(1\/17)*g**2*g\/g**4)**(1\/2) assuming g is positive.\nAnswer: g**(-33\/68)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(102)*1*2 - sqrt(102) - sqrt(102)) + (sqrt(102) - 2*sqrt(102)*-3))\/(sqrt(726) - (sqrt(726) + sqrt(726) + -6*sqrt(726)*-1) - sqrt(726)).\nAnswer: -7*sqrt(17)\/88","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2303\/1095 - -8\/219. Let r = i - -8\/3. Which is the nearest to 1\/3? (a) -2 (b) r (c) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 249 minutes before 1:04 PM?\nAnswer: 8:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) be the third derivative of 5*f**8\/42 + 2*f**7\/105 - 55*f**5\/12 + 43*f**2. What is the third derivative of r(g) wrt g?\nAnswer: 2400*g**2 + 96*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(11) - (sqrt(11) + -5 + (sqrt(11) - sqrt(176)) + sqrt(11)))**2 + sqrt(77)\/sqrt(700).\nAnswer: 201*sqrt(11)\/10 + 69","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*o**3 - 7*o**3 + 4*o**3 - 16*o**3.\nAnswer: -17*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f = 2*f + 7. Let x = f + -3. Is 2 a factor of 1\/2 - (-6)\/x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 103271085 to the power of 1\/2, to the nearest integer?\nAnswer: 10162","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -12 - 2210022020022000?\nAnswer: -2210022020022012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 400 is divided by 194?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 623 minutes before 9:32 AM?\nAnswer: 11:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-231936)\/(-576))\/(-302)*(-6)\/8*17.\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 + 3 - 8)*(6*o - 4*o - 4*o) to the form c + y*o and give y.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-1 - -64) + 7 - -13. Solve -20*t - 37 = x for t.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 12925 - 8553. What is the hundreds digit of m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -5 and -654.\nAnswer: 3270","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -21527833.1 to the nearest one thousand.\nAnswer: -21528000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) be the first derivative of 5\/2*l**2 + 0*l + 0*l**6 - 1\/7*l**7 + 158 + 11\/5*l**5 + 2\/3*l**3 + 0*l**4. Find the third derivative of i(y) wrt y.\nAnswer: -120*y**3 + 264*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -l**2 - 4*l - 3. What is t(-7)?\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor x**2\/8 + 2*x + 55\/8.\nAnswer: (x + 5)*(x + 11)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -3 - ((-4)\/6)\/((-408)\/110844). Let w(m) = -4*m**3 - 5*m**2 - m + 4. Let p be w(-4). Let x = p + r. Which is greater: x or -1?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -5*w**2 - 13470*w - 134599. Determine i(-10).\nAnswer: -399","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 2372 - 4?\nAnswer: 2367","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a = -5*v - 22, 2*v + 9*a + 5 = 4*a. Let m = -131 + 130.9. Put 0.2, v, m in ascending order.\nAnswer: v, m, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y - 2*q + 3159 = 0, 810 = y + 5*q + 192. Calculate the remainder when y is divided by 49.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -6*v - 171. What is i(-30)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 147*g**3 + 1671*g**3 + 340*g**3.\nAnswer: 2158*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3\/169, 2, 1\/4, -1\/2, -13 in descending order.\nAnswer: 2, 1\/4, -3\/169, -1\/2, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2610320 and 800?\nAnswer: 26103200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 478409 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -c + a + 13220, -7*c - 39645 = -10*c - 2*a. List the prime factors of c.\nAnswer: 13217","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s + 3*s - 15 = 0. Suppose 2*p = -0*p - 2*y, -5*p - 3*y + 10 = 0. Suppose i + 4*i = -s*j - p, 0 = -4*j. Is i at most 1\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-38)\/9 + (-94)\/(-423).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.188088753 minus 0.379?\nAnswer: -0.567088753","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p and 2 u when three letters picked without replacement from eefjjffefejuofupfoo.\nAnswer: 1\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -u**2 + 17*u - 30. Let a = 3688 + -3673. Give i(a).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -32 or -2?\nAnswer: -32","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -k**3 - 5*k**2 - 3*k. Let b be c(-5). Solve -5*m - 6*p - b = -p, 3*p + 9 = 0 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d - 132 = -3*d. Let m = d - 7. Let q = m - 14. What is the units digit of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4389, -8653, -12917?\nAnswer: -17181","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 369 a factor of 22470255?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -11*b**4 - 15*b**3 - 11315*b**2 - 58*b - 129475 wrt b.\nAnswer: -132*b**2 - 90*b - 22630","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -347, -348, -349?\nAnswer: -350","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -103108, -413425, -930620, -1654693, -2585644, -3723473, -5068180?\nAnswer: -6619765","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -428947138*t**4 - 7856*t + 1495?\nAnswer: -5147365656*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -54 - 4*p**2 + 6*p + 7*p**2 - 11*p**2 + 0*p + 0*p + p**3. Give c(8).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 19481\/12990 - -2\/6495. Factor 3\/2*x + 0 + r*x**2.\nAnswer: 3*x*(x + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 3 (b) -5 (c) -3707\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) be the first derivative of x**3\/3 - 6*x**2 + 36*x + 20. Factor h(o).\nAnswer: (o - 6)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*b + 4*b - 3*n - 25, 10 = -3*b - 5*n for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1*7\/(-63)*-3.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5362 = 5*p + 977. Is p a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f + 6*f - 8 = 0. Is 14 a factor of ((-15)\/(-9) - f)\/((-6)\/(-252))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -2*3*(-7)\/21. Suppose -3 = m - q*m. Find h, given that -2\/7*h + 0*h**2 + 0 - 2\/7*h**5 + 0*h**4 + 4\/7*h**m = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2273.98 rounded to the nearest ten?\nAnswer: 2270","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = 2*m**2 + 34*m + 142. Let u be d(-7). Calculate the greatest common factor of 1052 and u.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:27 PM and 1:36 AM?\nAnswer: 309","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1704 and 740317.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 400*a + 406*a - 280 = 792*a. Solve 21*s - a*s = -w - 1, 2*s - 2*w - 6 = 0 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 220.75428ns to minutes.\nAnswer: 0.000000003679238","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 12 + -28. Let s = -16.1 - x. Which is the second biggest value? (a) s (b) -4\/9 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -75 = 67224*i - 67199*i. Let u(c) = 3*c + 2*c - 2 - 2*c. What is u(i)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u - 41 = 4*m - 134, m - 81 = -4*u. Suppose 0 = -3*x + 7*x - 32. What is the remainder when u is divided by x?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -29\/83632 and 31\/14.\nAnswer: 585424","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 59 (base 12) to base 10.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 58 is divided by 36?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 14 in 33, -0.5, -1\/7, 1\/7, -1\/4?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -23*k - 61. Let f be y(-3). Let v be 14\/f - (-8 + -2 - -11). Factor -3\/4 + 3\/4*l**3 - v*l + 3\/4*l**2.\nAnswer: 3*(l - 1)*(l + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -769 less than -767?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2542 and 961?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p = -7 - 13. Let b be -13 - (-1 + (-4 - -2)). Let g = -6 - b. Is g bigger than p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 11011110001011001000 (base 2) to base 12\nAnswer: 37a774","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 45 divide 1626?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6127189 divided by 63.\nAnswer: 6127189\/63","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -250*d + 254*d + 4*c - 20, 125*c = 2*d + 129*c for d.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -43 + (-16 - (-56 + 28)).\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 9, 5\/21, 10?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 9 + -5. Suppose -2*d + 2*u + 310 = 2*d, 0 = -y*d - 5*u + 275. Is 11 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 12 * -8.\nAnswer: -96","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-11)\/(-2) + 66\/(-44).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 3, 13786 in descending order.\nAnswer: 13786, 3, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -0.1 - 2304560070\nAnswer: -2304560070.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*-1*(-5*sqrt(12) + (sqrt(300) - -1*sqrt(300)) + sqrt(300)*1*1))**2.\nAnswer: 4800","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -3 (b) 48 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 100227 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 the value of (6\/4)\/(((-2920)\/(-1360))\/(4\/34))?\nAnswer: 6\/73","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -95\/6514 and 25\/2.\nAnswer: 6514","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = o**3 + 79*o**2 + 72*o - 108. Does 15 divide n(-28)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 389, 1519, 3467, 6287, 10033, 14759?\nAnswer: 20519","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -19\/1274 and 59\/4.\nAnswer: 2548","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -36087 - 0.04958?\nAnswer: -36087.04958","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 267153.\nAnswer: 3, 89051","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 83 + 73 + 89 + 82 - 327 + 14*m**3.\nAnswer: 14*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -79, -163, -247?\nAnswer: -331","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 42*y - 39*y - 6. Is (9279\/9)\/(y + -1) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -28*l**3 + l**2 + l. Let g be f(-1). Suppose -4*q - g = -4*v - 0*q, q = 0. Let k = -4 + 7. What is the remainder when v is divided by k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -78 (b) -1\/5 (c) -5 (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3895984?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2584 is divided by 65.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(931)*-2*-4)**2*2 + 2 + sqrt(1539) + ((sqrt(1539) + 2*sqrt(1539) - sqrt(1539)) + 1)**2.\nAnswer: 45*sqrt(19) + 125327","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in -2, 0.21, 2\/11, -5, -4, -13\/3?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -20*x**3 - 10*x**2 + 17*x + 46. Let o(b) = 7*b**3 + 3*b**2 - 6*b - 16. Let q(z) = 6*i(z) + 17*o(z). Give q(-9).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -19 * -5.\nAnswer: 95","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -1261, -5025, -11305, -20107, -31437, -45301?\n\"Answer: -g**3 - 1252*g**2 - g - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -l**2 + 1. Let i be o(-5). Let f be (-771)\/15 + (-18)\/30. Let c = i - f. Is 14 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*g + g + 3*g + 3)*(-1 + 1 + 3*g)*(2 - 5 - 10).\nAnswer: -39*g**2 - 117*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.6336 + -0.6336. Let b be (4\/3)\/(2\/(-9)). What is the closest to b in 0.3, k, 0.1?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 40.81700777 rounded to 2 dps?\nAnswer: 40.82","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 39, -2, -1512, -5 in increasing order.\nAnswer: -1512, -5, -2, 39","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide (3 + -4 - 2) + 73?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -187 - -283. Let r be (1*(0 + -1))\/(98 - k). What is the second smallest value in r, -1, 0.08?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = 14*y**2 - 2*y + 1. What is the remainder when 64 is divided by p(1)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 10\/(-4)*(-192)\/30. Calculate the highest common divisor of a and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -4.2, -1\/93, 4\/7, 0.06, -2.7, -4, 5?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1975\/50 - (-59 + 94)) + (-104)\/23.\nAnswer: -1\/46","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 2, r: 2, w: 2, y: 12}. Give prob of picking 2 r.\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -973 + 3*j - j + 1813.\nAnswer: 2*j + 840","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 106*b**2 - 106*b**2 - 6*b**3 + 19*b**3 + 2*b**3.\nAnswer: 15*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 1, i: 2, s: 1, f: 2, v: 11, o: 2}. What is prob of picking 1 f and 1 v?\nAnswer: 22\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o + 3*o = 20. Suppose 1 = o*l - 5*v + 4*v, 3*v = -3*l + 15. Which is greater: l or -1\/15?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l*(l\/(l**(1\/5)\/l))\/l*l**(1\/2)*l)**49\/((l*l**2\/l)**(-1\/46))**27 assuming l is positive.\nAnswer: l**(37461\/230)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) be the first derivative of -10*f**3\/3 + 9*f**2 - 8*f - 46. What is i in z(i) = 0?\nAnswer: 4\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t + 4 + 4 = 0. Let k(i) = -10*i - i**2 + i + i - 9 - 5*i. Let w(q) = 3*q + 2. Calculate t*k(s) + 9*w(s).\nAnswer: -2*s**2 + s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m + 9 - 19 = -2*o, 3*m - 6 = -4*o. Let a(i) = 2*i**3 - 4*i**2 + 2*i + 2. What is a(o)?\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3 - 6. Let k be (-2)\/8*(114\/(-6) - -3). Which is the third smallest value? (a) 3\/11 (b) k (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 353*p**3 + 2*p**2 - 1893?\nAnswer: 2118","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*f = -4*x - 37, 36*f = x + 40*f + 13 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 11240 and 43555?\nAnswer: 348440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = v**2 + v + 9. Let u be (-2)\/(-11) - (-285)\/(-55). Let j be i(u). Let d = 29 - j. Solve 3*h = -5*g - 8, d = 3*g + h + 8 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 44 and 132?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -80 = 10*v - 130. Calculate the greatest common factor of v and 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 36\/(-15)*20\/(-8). Suppose 0 = 2*p + 3*r - t, -8 = 5*p - 5*r + 2. Let m be 3 + -3 + p - -11800000. What is m rounded to the nearest 1000000?\nAnswer: 12000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h + 0*h - 54 = -3*g, 0 = -3*g - 4*h + 26. Suppose -3*b + 0*b - 3*a - 3 = 0, 5*a + g = -2*b. Solve -5*v = -5*d + d + 3, 2*d = -b*v + 7 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7912.447ms in microseconds?\nAnswer: 7912447","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1219832 divided by 304958?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = 6*p + 5. Let r(v) = -v - 1. Let w(b) = -f(b) - 5*r(b). Let t(m) be the second derivative of m**3\/6 + 2*m. What is t(w(h))?\nAnswer: -h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x + 5*t - 12 = 14, 0 = -5*t + 20. Suppose -10 = -x*j - 3*j. Factor z**3 - 2*z**2 + 5*z + j + z**2 + 5*z**2.\nAnswer: (z + 1)**2*(z + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 472920?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 137179 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 9198.037 millilitres?\nAnswer: 9.198037","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -45 - -211?\nAnswer: 133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2 + 0 + (-12)\/9 + 4. Which is the nearest to -2\/7? (a) -1\/6 (b) -0.2 (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -g**2 - 5*g**2 - 2*g**2 + (-5*g - 2*g - 13*g)*(0*g + g + 0*g) to z + i*g + t*g**2 and give t.\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert -105032 (base 9) to base 5.\nAnswer: -4001343","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*q - 3 = -2*p + 6, 0 = 5*p - 3*q + 6 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((0 + sqrt(720))**2 + 1 + sqrt(720))*-2 + -5.\nAnswer: -1447 - 24*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -4470 - -4521. Solve -29*k = u + 7 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 123\/400 and -23\/320.\nAnswer: 1600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -502, -1008, -1514, -2020, -2526?\nAnswer: -3032","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/10 of a milligram in micrograms?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 86 - 3*t + 6*t - 140.\nAnswer: 3*t - 54","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 863 (base 15) in base 10?\nAnswer: 1893","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -65\/128896 and -49\/14592.\nAnswer: 773376","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = i + 13. Let k(h) = -2*h**2 - 10*h + 1. Let a be k(-6). Let s be g(a). Suppose -6*w + 4*w = 0. Solve 2*y + s*y - 8 = w for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 23418467?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = x**3 - 9*x**2 - 10*x + 3. Let f be s(10). Suppose i - 8710 = -5*a, f*a - i - 6598 = -1380. Is a a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*h + 18472 = n, -2*n + h + 11082 = -25981. Is n a multiple of 154?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = 5*m**2 - 2*m + 1. Let n be g(1). Suppose n*f + 5*s = -7, -2*f - f + 9 = -s. Let j(l) = 2*l**2 - 3*l + 2. Determine j(f).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -n**2 + 31*n + 39. Let s be x(32). Factor 5*q**4 + q - 13*q**3 - 8*q + 4*q**3 - 8*q**3 + 3 - 39*q**2 + s.\nAnswer: (q - 5)*(q + 1)**2*(5*q - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -e55ea0 (base 15) in base 2?\nAnswer: -101001100110001111100110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13.3*2.\nAnswer: 26.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m - 13 = 21. Let o = 24 - m. Suppose -2*f + o*f = 135. What is the tens digit of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 20 and 18714.\nAnswer: 187140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 204 and 82977.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2.91 + 0.09. Let r = -0.7 + 0.3. Which is the nearest to -1? (a) r (b) 5 (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h - 4*h = -35. Is h a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (9 - 5)*14\/(-20)*(40 + -35)\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = 2*z**2. Let l(i) = 3*i - 1. Let j be l(1). Let g be 95\/35 - 2\/(-7). Let h(y) = y**2 + g*y**j + y**2 - 6*y**2. Give h(w(x)).\nAnswer: -4*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -48*r**3 - 142*r**2 + 139*r + 5. Calculate s(1).\nAnswer: -46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 (base 15) in base 5?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 0 - -5744 - (-1)\/1. Suppose 5*b + 2*g - 9582 = 0, 2*b + b = 3*g + m. Let n = -1159 + b. Is n composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1377009946.\nAnswer: 2, 13, 127, 417023","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*d + 18 = -4*d. Suppose -2*y - d - 7 = 0. Let g(s) = -3*s - 6. Is 9 a factor of g(y)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 994364 at least as big as 994371?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 706 + -704. Solve 3*h = -o - 5, 4*h + 6 + 14 = n*o for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4)\/(16\/(-12)) - 102\/33?\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0.3 (b) 2 (c) 288 (d) 4 (e) 4\/13\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 1 - 10 - (-17 - (-1 + -2))\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -i**3 - 17*i**2 + 128*i - 181. Give x(-24).\nAnswer: 779","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*s - 4*c + 15, -2*s + 7 = 3*s + 4*c. Let u be s\/3 + 52\/12. Solve -5*b + 12 = -4*f, -u*f - 3*b + 22 = f for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = 372*a**2 + 368*a - 363. What is v(1)?\nAnswer: 377","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 4261820 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2 (base 9) to base 11.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, 0, 5, 22 in descending order.\nAnswer: 22, 7, 5, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -420014, -840023, -1260018, -1679993, -2099942?\n\"Answer: p**3 + p**2 - 420019*p + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 5\/(0 - -3 - 2). Let v be (-1)\/j + 78\/15. Suppose 160 = u + 3*u. What is the highest common factor of v and u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*z**2\/7 + 50*z\/7 - 92\/7.\nAnswer: -2*(z - 23)*(z - 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: (2\/(-4))\/((-3)\/2)\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 3 + -7. Let q = c + 1. What is the units digit of (-2)\/((-3)\/q + -3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1a0 (base 13) to base 16.\nAnswer: -12b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wwww when four letters picked without replacement from {w: 5}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*x - 2*x = -15 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -2*g - 1. Let y be b(-2). Suppose -z + 293 = -y*j, z - 22 = 5*j + 273. Round z to the nearest one hundred.\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**38)**(-17)*(h**(-1\/5))**(6\/7) assuming h is positive.\nAnswer: h**(-22616\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 7429, 7433, 7437, 7441, 7445?\nAnswer: 7449","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9198 is divided by 3063?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express w + 25*w + 121*w + 61*w as q + n*w and give q.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.13 - -5.13. Let u be (-50)\/70 - (4 + (-5)\/(3 - 2)). Which is the nearest to 0.05? (a) v (b) u (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/3? (a) -0.4 (b) 1.4 (c) -277 (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1367910?\nAnswer: 2, 3, 5, 15199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t = -7 - 11. Let v be 9*(10\/t)\/(-5). Find the first derivative of -v*s - 3 + 1 + 1 + s wrt s.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1714963?\nAnswer: 1714963","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -83 + 0 + (-1 - -37 - (2417 - 2369))\nAnswer: -95","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 10323440 + 1?\nAnswer: 10323441","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1531?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -48 divided by -2\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + (0 - 0) + -69 - (75 + -7 - 56)?\nAnswer: -83","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 35 divide 76461?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put -15, 0.4, 0.17, -242 in decreasing order.\nAnswer: 0.4, 0.17, -15, -242","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -2 (b) -0.5 (c) 1 (d) 0.18\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -4\/253 and 44\/69016767?\nAnswer: 759184437","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (3 - (-2 + 2)) + 62 + -134 + 85\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 - ((-5 - 0) + 8).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -9 + 5. Let w be (-1 - 236\/(-238))*-1. Let f = w - 5\/17. Put -3, c, f in descending order.\nAnswer: f, -3, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**(-1\/2)*t)\/t**(-1\/6)*t**(-3)*t**(2\/3))**(-34) assuming t is positive.\nAnswer: t**(170\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 137\/7519842 and -151\/2574.\nAnswer: 97757946","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.4206 + 0.0344. Let x = y + 5.545. Which is the closest to 1? (a) 5 (b) -2\/5 (c) 1 (d) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24710513 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h\/(h**12*h))**(7\/3)\/((h**(1\/29)\/h)\/h*h*h\/(h**(-3\/25)\/h*h*h*h)) assuming h is positive.\nAnswer: h**(-18962\/725)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -4455, -12461, -25803, -44481?\n\"Answer: -2668*p**2 - 2*p - 1785","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (2\/(-14))\/(69\/(-3381)). Which is smaller: y or 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*w - 3*n = -24, 4*w + w = 3*n for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -116233*h**2 - 119050*h.\nAnswer: -232466","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(66)*-5 + (sqrt(66)*4*-4 - sqrt(66)) + sqrt(66))\/(-3*sqrt(96)*-4*-6))**2.\nAnswer: 539\/9216","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -377.45 + 398.413. Let a = 21 - x. Let r = a + -0.243. Round r to two decimal places.\nAnswer: -0.21","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 - -6) + -3 - 0?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*y**3 - 14*y**2 + 8*y**2 - 1 - 6*y**3 + 2*y**3 to the form k*y**2 + j*y**3 + p + x*y and give p.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-6*2*sqrt(5082)*-1)\/(-1*(sqrt(6) + sqrt(24)\/sqrt(4))*-5*6))**2.\nAnswer: 847\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: Convert 777105.4um to nanometers.\nAnswer: 777105400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z - 4*s - s = 26, -5*z + 11 = s. Suppose h = -z*h. Let b be (-336)\/(-20) - (-1)\/5. Solve 2*x - 10 = -0*x + 3*i, 5*x + 3*i + b = h for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -108, -4, -113, 25, 5, -2 in decreasing order.\nAnswer: 25, 5, -2, -3, -4, -108, -113","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 28 * 8\nAnswer: 224","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 2633235 <= -82?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 18\/5 of a meter in centimeters?\nAnswer: 360","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.08 * -0.01.\nAnswer: -0.0008","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -2b22b + b29?\nAnswer: -2a402","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is ((198\/(-22))\/18*(-1)\/(-5)*0)\/2?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 68162?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2229, -3640, -4251, -4074, -3121, -1404?\nAnswer: 1065","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 291 minutes before 12:20 PM?\nAnswer: 7:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*d - w = 15, -45*d - 2*w = -41*d - 26 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 7149 or 7150?\nAnswer: 7150","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -829 divided by 9?\nAnswer: -829\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 229, 455, 695, 955, 1241, 1559, 1915?\nAnswer: 2315","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-8)\/(-6)*117\/429*(-1782)\/(-72)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 27671057 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.1 + 0.4. Let o(j) = -4*j. Let d(a) = a**3 + 9*a**2 - a - 10. Let x be d(-9). Let c be o(x). Sort -0.3, c, y.\nAnswer: -0.3, y, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.058 * 1026.47.\nAnswer: 59.53526","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 112*u - 1176 = 105*u. Let h = u + -165. Solve 5*v = 3*d - 8, -h*d + 2*v = -2*v - 4 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) be the first derivative of 1\/36*v**4 - 1 + 1\/9*v**3 - 1\/45*v**5 + 0*v - v**2. Let d(x) be the second derivative of o(x). Factor d(w).\nAnswer: -2*(w - 1)*(2*w + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = 10*n**2 + n - 3. Let l(g) = g**2 - g + 1. Let i(r) = -4*l(r) + x(r). Let y be i(-6). What is y rounded to the nearest ten?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 2, 0.08, -14 in increasing order.\nAnswer: -14, 0.08, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -48.98 + 47.98. Let y(t) = -18*t**3 - t**2 + 1. Let j be y(-1). Which is the biggest value? (a) j (b) -4 (c) 0.1 (d) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 19354?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j - 726 = -10*j. Let o = j + -119. Solve -3*v + 0*v - o*g - 9 = 0, 4*g = -v - 3 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -63, -314, -811, -1620, -2807, -4438?\nAnswer: -6579","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s + 17 + 1 = 0. Suppose -5*y - 264 = -s*y. Suppose 3*l + y = 6*l. Is l prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*y + 6*y - 9*y to d + u*y and give u.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*u = 5*u - 30 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6 - -5) + -15 + (31 - (-28 + 45))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -4*t**3 + 31*t**2 - 39*t + 26. Let h(m) = -11*m**3 + 92*m**2 - 117*m + 77. Let w(s) = -3*h(s) + 8*p(s). Is w(29) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is y in -3*y**4 + 11544*y**3 + 46281*y**2 - 219606*y + 161784 = 0?\nAnswer: -7, 1, 2, 3852","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 507 minutes after 4:13 AM?\nAnswer: 12:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -22 + 37. Does 5 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20*m**3 - 39*m**2\/2 + 81*m\/2 - 1 = 0 for m.\nAnswer: -2, 1\/40, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 1464 divided by 138\nAnswer: 244\/23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 0.5235608l?\nAnswer: 523.5608","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 21048 (b) 5 (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*b**3\/7 - 26744*b**2\/7 + 40148060*b\/7 + 40174808\/7 = 0. What is b?\nAnswer: -1, 2278, 4409","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 624080365?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 10816741?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 11 - 15. Is -1*-91*(-4)\/p a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 977 + -960. What is the highest common divisor of 1921 and p?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l + 19 = 7. Suppose 0 = 5*x, 2*x = -5*q - 0*q - 40. Let o be 1\/(-12)*q\/4. Which is the third biggest value? (a) l (b) o (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 + (-3 - (-7 - -4 - (6 + 4)))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2784 + -0.02.\nAnswer: -2784.02","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 4132 + 3?\nAnswer: 4135","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 12270 and 229015460.\nAnswer: 4090","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12850.\nAnswer: 2, 5, 257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -201*a = 12*a - 1457 - 673 for a.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19 - 57 = 2*v + 3*k, 5*v - k + 61 = 0. Let y be (2 + -1)\/(3\/(-66)). Let q = v - y. What is the units digit of q?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1696?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2588 + 2288. Let y = w - 4876.0004087. Round y to 5 decimal places.\nAnswer: -0.00041","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -1\/9 (b) 7 (c) -0.1 (d) 1\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 79 a factor of 306242?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-q - 10 - q + 32)*((-2*q**3 + 3*q - 3*q)*(4 + 2*q - 4) - 62 + 62 - 79*q**4).\nAnswer: 166*q**5 - 1826*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = 5*i**2 + 5 - 4 - 17*i**2 - 6*i**2 - 7*i. Let s(f) = 11*f**2 + 4*f - 1. Let r(y) = -3*b(y) - 5*s(y). Calculate r(3).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -100 + -101000?\nAnswer: -101100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 107, -2, 8 in decreasing order.\nAnswer: 107, 8, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 580?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -4245 times -6.41?\nAnswer: 27210.45","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*g = 4*g + 3*w + 603, 0 = 5*g - 3*w - 1007. Suppose -11*n - g = -741. What are the prime factors of n?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = 363*n - 2180. Determine o(6).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = y**3 - y**2 - 3*y + 1. Let z(a) = -3*a**3 + 3*a**2 + 7*a - 2. Determine -7*s(n) - 3*z(n).\nAnswer: 2*n**3 - 2*n**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 257, -5, 5.\nAnswer: -5, 5, 257","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -1. Let h(t) = -5*t**2 + 5*t + 3. Let s(j) = -h(j) - 6*w(j). Let x be s(1). Let b(l) = x - 4*l**2 - 556*l - l**2 + 562*l - l**3. Give b(-6).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -26742*l**5 - 4*l**2 + 52*l + 14 wrt l?\nAnswer: -1604520*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1\/(-2))\/((((-273)\/378)\/(-13))\/(-2)).\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = h**2 + 882 + 883 - 2664 + 892. Let q(k) = -6*k**2. Determine n(q(c)).\nAnswer: 36*c**4 - 7","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 462 minutes before 8:51 PM?\nAnswer: 1:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4 in -1, -348, -0.09?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1\/9, -0.018, 2, 1\/4, -0.275, 2\/5, -0.1?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -1780, -1702, -1574, -1396, -1168?\n\"Answer: 25*a**2 + 3*a - 1808","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from fddpdfpfddmdpfcdp. What is prob of picking 4 f?\nAnswer: 1\/2380","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 30 times -0.2\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 197188743 to the nearest integer?\nAnswer: 14042","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1 (b) -80 (c) -2\/3 (d) -7\/2 (e) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -10564145, -21128291, -31692437, -42256583?\nAnswer: -52820729","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 11*l - 3 - 73 - 13*l as y + m*l and give y.\nAnswer: -76","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1652 = -10*z - 372. Let g(u) = -5*u - 17. Calculate the remainder when z is divided by g(-12).\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*s**4 + 114498*s**3 + 1091795463*s**2 - 13113913932*s + 39354111468 = 0. Calculate s.\nAnswer: -19089, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 175\/451 - 42\/41. Which is bigger: 3 or p?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/3 in -0.8, -6, -4, 2\/25?\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -296 = -9*b + b. Is b a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1080043\/117 + -83065\/9. Find c, given that -2\/13*c**2 + 0 + v*c = 0.\nAnswer: 0, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b = -b - 20. Suppose -b*h + h + 84 = 0. Is 7 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 34*q**2 + 321 + 5*q - 18*q**2 + 150*q**2 - 322 - q to v*q + k*q**2 + j and give v.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -2*i + 3. Let u be -1 + 1\/2*i. Sort 2, u, 3 in ascending order.\nAnswer: u, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -205 by 41.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -99*u + 36. Suppose 3*l - 5*m - 118 = 0, -426 = -12*l + 81*m - 84*m. Let q(h) be the first derivative of -7*h**2 + 5*h - 2. Give l*q(s) - 5*c(s).\nAnswer: -9*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 times -85407.9?\nAnswer: 597855.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4\/(-7) + 8778\/21021?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4438378 to the power of 1\/2, to the nearest integer?\nAnswer: 2107","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -15 - -5. Suppose -d - d + 32 = 0. Let u = d + o. List the prime factors of u.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -27 + 48. Calculate the remainder when d is divided by (46 - 58)\/((-27)\/36).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 197057 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = 37*c - 2358. Let y be f(66). Suppose -45 = 4*u - 237. Calculate the highest common divisor of u and y.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 863?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-2)\/(-3))\/(4\/6). Is (a - -1)*(-10)\/(-4) a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 20306 is divided by 175.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -123*j. Let c(u) = -2 + 0 - 232*u + 234*u + 2. Calculate c(w(o)).\nAnswer: -246*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -1 - 3167?\nAnswer: -3170","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 345536 a multiple of 381?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 931887 and 99.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -93*i**2 + 29*i**2 + 44*i**2.\nAnswer: -20*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is -9598360\/39 <= -246112?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*n + 2*j + 15 = -11*n, 5*n = 5*j for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -4*y - 26. Let g be z(-7). Differentiate 4*o**g - 1 - 22*o**2 + 13 with respect to o.\nAnswer: -36*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -80, -223, -452, -761, -1144, -1595, -2108, -2677?\nAnswer: -3296","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/3 in -4, 5\/8, 374, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -127 in 1, 1\/292, 0, -5, 4\/5, -11\/2?\nAnswer: -11\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.497 + 0.197. Which is the nearest to x? (a) -2\/3 (b) 3 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9538 is divided by 199.\nAnswer: 185","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (6\/(-4))\/((-3)\/(-4)). Let t be (6\/4)\/(18\/(-48)). What is the least common multiple of 8 and (4\/l)\/(t\/8)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = y**2 - 2*y. Let s be k(0). Suppose -2*f - 5*r + 65 = s, -4*r = -4*f + 3 + 57. What is the smallest common multiple of f and 68?\nAnswer: 340","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -63, -127, -193, -261, -331?\n\"Answer: -l**2 - 61*l - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 7\/4 of a litre?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -73*t + 363. Calculate g(11).\nAnswer: -440","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -2*t**2 + 7*t - 6498000. Let o be j(0). Round o to the nearest 100000.\nAnswer: -6500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*d - 2*d - 32 = 4*x, -3*d + 24 = -3*x. Let j = 5 + x. What is the closest to 0.1 in j, 10, -5?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -3*j + 5. Suppose o = 0, 2*o + 0*o + 39 = 3*m. Suppose -4*q + 14 = -3*h + 46, 2*h = q + m. List the prime factors of u(q).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 100 and 1716100.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gi when two letters picked without replacement from {b: 1, t: 1, i: 1, r: 1, v: 2, g: 1}?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -176 = -4*t - 5*k, 0*t + t - 69 = 5*k. Let n = -49 + t. Factor 0 - 2\/3*g**5 - 2\/3*g**4 + 2\/3*g**3 + n*g + 2\/3*g**2.\nAnswer: -2*g**2*(g - 1)*(g + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 33 + 1 + (-20 - (-42 + 0 - (37 - 56)))?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0009232512692 to 6 decimal places.\nAnswer: -0.000923","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 583\/740 - 76727\/76960. Find the common denominator of f and -41\/260.\nAnswer: 2080","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 17*(-16)\/68*(-1)\/(-4 + 0)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = 4*g**2 - 2*g + 1. Let w be l(1). Suppose -3*s - 3*i = 0, w*i - 4 = 11. Let r = -135 - -1213\/9. Sort r, 3, s in decreasing order.\nAnswer: 3, r, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 4717 and 89?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4\/((82\/369)\/(1\/(-9))) - 99\/(-12).\nAnswer: 25\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3278813456?\nAnswer: 2, 31, 6610511","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 28639 is divided by 26?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5\/2*v**3 + 0 + 20*v**2 + 40*v.\nAnswer: 5*v*(v + 4)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:56 AM and 3:24 PM?\nAnswer: 328","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m = 2*n - 30, -n = -3*m + 4*n + 112. Solve -m + 30 = 4*j for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23915 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 27024.419 rounded to the nearest 100?\nAnswer: 27000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a and 1 o when two letters picked without replacement from eoooooeaeeooooeoeoa?\nAnswer: 22\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.34, -5, 70 in ascending order.\nAnswer: -5, -0.34, 70","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*t + 19 + 3*t**3 + 5*t**3 + 5*t**3 - 4*t**2 - 12*t**3 to p*t + u*t**3 + d + g*t**2 and give d.\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1038*b + 596*b - 4591 + 156575 = -1670*b for b.\nAnswer: -46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 30739 is divided by 30739.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -91*u + 84*u = -35 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 19*a**4*r**3 - 66*a**4*r**2 - 7*a**3 - a**2*r**3 + 5156*a**2*r**2 - 4*a wrt a.\nAnswer: 456*a*r**3 - 1584*a*r**2 - 42","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -f**3 + 10*f**2 + 2*f - 23. Let g be c(10). Let i be 1407\/9 + (g - -3). Let u = 155 - i. Put 0.2, 1, u in ascending order.\nAnswer: u, 0.2, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ggee when four letters picked without replacement from geeg?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*h**4 - 155*h**3 + 960*h**2 + 1980*h - 6480 = 0. Calculate h.\nAnswer: -36, -3, 2, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = q**3 + 19*q**2 + 8*q - 164. Let a be n(-18). Find the third derivative of 5*l**3 - 69*l**2 + 8023*l - 8023*l - a*l**4 wrt l.\nAnswer: -384*l + 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 843c (base 14) to base 13.\nAnswer: a4b1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 18 and 27?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 650 and 200?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-2)\/6 + 1\/3. Suppose 3*a + 1 - 13 = g. Put a, 6, 0 in decreasing order.\nAnswer: 6, a, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) be the second derivative of 5\/21*w**3 - 6*w + 2\/21*w**4 + 1\/70*w**5 + 2\/7*w**2 + 0. Factor x(z).\nAnswer: 2*(z + 1)**2*(z + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -c**3 + 4*c + 4*c + 19*c**3. Let v(s) = -s**3 - s - 1. Let j = -7923 + 7926. Let i(p) = j*y(p) + 24*v(p). What is the first derivative of i(a) wrt a?\nAnswer: 90*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -2*j + 13. Let u(r) = -2*r + 13. Let h(z) = -7*q(z) + 6*u(z). Let p be h(8). Determine s so that 4 + 10 + 24*s**2 - 4*s**p - 48*s + 18 = 0.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1817)\/322)\/(-79)*-4.\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 0 (base 2) to base 14\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2 + (-1)\/((-1)\/3). Suppose -4*f - 4*u = -6*f + 24, -2*u - 60 = -y*f. Suppose 5*r = 2*r + f. Solve 5*x - 4 = r*c + 14, 2*x = -5*c - 6 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -2\/13, -6, 1\/6, 0.5, -9?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*h**5*y - 31*h**3*y**3 - h**2*y**3 + 2*h**2*y**2 + 11*y**3 wrt h?\nAnswer: 120*h**2*y - 186*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = 78*c**2 - c + 1. Suppose 7*d - 3*d = 340. Let g = d - 86. List the prime factors of m(g).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 20108660 divided by -63635\nAnswer: -316","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 8 (b) 32\/7 (c) -2 (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 5890 and 125662220?\nAnswer: 310","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -11 - -113. Suppose 0 = s - 6*m + 4*m - 34, -3*s = m - v. Suppose x = -4*u + 32, 0*u - 5*u + 3*x + 57 = 0. What is the remainder when s is divided by u?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -268282650 less than -268282651?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4999.001 nanometers to meters.\nAnswer: 0.000004999001","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-4)\/26 + (-10)\/(-65). Solve -i + 1 = -n - 2*i, 5*n + i + 5 = c for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (24\/(-234))\/((-4)\/(-6)). Which is the nearest to w? (a) -5 (b) 2 (c) 2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*w - 5*r + 67 = 0, -59 = -4*w + 5*r - 102 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = 216*q**2 - 2157*q - 13. Let l be o(10). Let y = 54 + -37. Is y <= l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -2.19 and 6.\nAnswer: -13.14","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((a*a**1)**(23\/2))**(-1\/2))**28)**(-18) assuming a is positive.\nAnswer: a**5796","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*j + 13*j = 2*l - 40, -4*l + 114 = 10*j - 62 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 242 - (4\/12 - (-42)\/(-18)). Suppose 0*v = v - 5*t - b, -5*v - 2*t = -1301. Is v composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-2)\/10 - (-144)\/45. Let j be 8\/(b*(-6)\/(-9)). Suppose 361 = 5*c - 3*o, -j*c + 4*o + 292 = -0*o. What are the prime factors of c?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in -5, 2\/7, -2\/7, -4?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*d**2 - 2*d**4 + 4*d - 9*d - 1 - 2*d**3 - 2*d**3 + 3*d to l*d**2 + j*d + y + g*d**3 + z*d**4 and give z.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = z**2 + 3*z - 4. Let d be i(-5). Suppose b + b = d. Let c(h) = -h**3 + 3*h**2 + h - 1. Let g be c(3). Solve -11 = b*m - g for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(264)\/(sqrt(2352)\/sqrt(4)))\/(sqrt(132)\/(sqrt(12) + sqrt(24)\/(sqrt(18)\/sqrt(9)))).\nAnswer: 2*sqrt(2)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 155\/10021 bigger than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m = -3*v + 26 + 17, -2*v + 2*m + 18 = 0. Solve 5*z = a - v, -4*z + 0 = 4*a + 4 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11 - (1 - -6 - 11 - (-13 - (-3 - -2))).\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00001372245 to six dps.\nAnswer: 0.000014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -29033*r - 6050 wrt r?\nAnswer: -29033","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h + 80 = 5*r, 2*h + 10 - 42 = 2*r. Let v be (-8)\/(4\/h*-2). Let w be 51\/24 + (-2)\/v. Solve 0 = w*q + 4 + 4 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) be the third derivative of -p**8\/36960 + p**7\/13860 + p**6\/792 + p**5\/220 + p**4\/24 + p**2. Let a(l) be the second derivative of d(l). Factor a(t).\nAnswer: -2*(t - 3)*(t + 1)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1562185085 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mmrmrmrrmmmrm. What is prob of picking 2 m?\nAnswer: 14\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 234879 take away 25327.87817?\nAnswer: 209551.12183","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -r**3 - 9*r**2 - 6. Let m be x(-9). Let c(k) = -7*k**2 + k + 2. Let z be c(3). Let f be m\/(-15) - z\/5. Solve -3*q = w + 2*w + f, -3*q + 8 = -w for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 6 + (-3)\/(-6)*-6. Let t(u) = u**q + 6 + 0 - u**3 + u**3 + 8*u**2. Does 17 divide t(-7)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 35216.12 millennia to months.\nAnswer: 422593440","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 7663 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -j - 5, -5*j - 2 = 2*m + 29 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -0.03, -4, -3\/8, -0.2?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express (-9*g - 2*g + 0*g)*(6 - 5 + 1) - 15*g - 65*g + 13*g as q + x*g and give x.\nAnswer: -89","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = 228*i**3 - i**2 + 19*i - 10. Let z = 1017 - 1013. Is a(z) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bib when three letters picked without replacement from {i: 10, b: 8}.\nAnswer: 35\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 3155812, 3155849, 3155872, 3155875, 3155852, 3155797, 3155704?\n\"Answer: -d**3 - d**2 + 47*d + 3155767","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = 4 - 3*p + 0 + 3*p**2 + 0 - 2*p**2. Let k be m(3). Suppose -k*d + 41 = -5*z, -d = 4*z - 0*z + 16. Put -0.2, 0, d in decreasing order.\nAnswer: d, 0, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l = 5*t + 11 + 4, 0 = l - 2*t - 4. Which is the closest to -0.3? (a) 1 (b) l (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 254556.45 months in years?\nAnswer: 21213.0375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = 3*z. Let y(h) = 114*h + 53*h + 128*h. Determine y(p(w)).\nAnswer: 885*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2.94 * -34999.\nAnswer: 102897.06","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.4 and 6959.204.\nAnswer: -2783.6816","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sum 14665551457 and 0.1.\nAnswer: 14665551457.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) be the third derivative of w**6\/40 + 3*w**4\/8 + 9*w**3\/2 - 72*w**2. What is the first derivative of v(z) wrt z?\nAnswer: 9*z**2 + 9","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*o**3\/9 + 34*o**2\/9 - 40*o\/3 = 0. Calculate o.\nAnswer: -20, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 20695 is divided by 3437?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 7114 and 550?\nAnswer: 1956350","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -4800 - -48051\/10. What is the common denominator of z and 2\/(-4) + 127\/52?\nAnswer: 260","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(sqrt(133) + (sqrt(133) + (sqrt(133) - (sqrt(133) - 1*sqrt(133)))*-6 - sqrt(133)))*-2)\/(3*sqrt(847)*-2*-2).\nAnswer: 10*sqrt(19)\/33","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) be the second derivative of 4*b**4 - 21\/20*b**5 - b + 0 - 11\/2*b**3 + 3*b**2. Determine g so that m(g) = 0.\nAnswer: 2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 407 - 408. Let s be (-45)\/24 + -6 + 10 + -2. What is the closest to d in -5, s, -4, 2\/11?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 4.42 + -4.046. Let s = c - 0.006. What is s rounded to two decimal places?\nAnswer: 0.37","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -5\/3 in -5\/3, 3.7, -6?\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = m**3 - 3*m**2 - 4*m + 2. Let n be v(4). Solve -3*u - 2*w = 8, u = -n*u + 5*w + 20 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((q + 0*q + 0*q)*(3 - 5 + 0) + 30 + 18*q - 67 + 40)*(0 + 5 - 4)*(-4 + 3 - 1)*(-4 - 3*q + 4) to the form p + v*q**2 + t*q and give v.\nAnswer: 96","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9 - (-254 - -290 - (5 - 2)).\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 85925810 and 16?\nAnswer: 687406480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*sqrt(152)*-5)\/(-6*(sqrt(8) + (sqrt(8) - -3*sqrt(8)))))**2.\nAnswer: 19\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2\/(-7) - 2594\/(-14). Let n = t + -182. Solve n*j - 5*j = 0 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 13381111 + -3.\nAnswer: 13381108","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = 2*y - 1 - 3 - 1. Let m(g) = g**2 - 16*g + 9. Let n be m(16). What are the prime factors of i(n)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 22 + 307. Is p composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -338 - 130 = -z - 4*f, 0 = -4*z + 4*f + 1972. Suppose -4*u = -8, 0 = 3*w + 3*u - z - 637. Is w prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o = -0*o. Suppose 0 = 3*i - 0 - 12. Solve o*a + i = -a for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -23 + 25. Suppose 4*z - t = 3*z. Suppose 5*l = -15, 0 = -0*i + i + 4*l - z. What is the greatest common divisor of 70 and i?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 26 divide 44933?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = 6*m + 21. Let o be s(-3). Solve -3 = 2*h + o for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o - 1 + 11 = 0. Let z(b) = 1 + 1 + o*b - b. Suppose 3429 = 4*g + 3441. Determine z(g).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z and 2 t when three letters picked without replacement from {z: 4, q: 1, e: 2, g: 1, t: 3, y: 1}?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from gqdgjggdyzjj. What is prob of sequence dgq?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -146 divided by -7.\nAnswer: 146\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y - 4*t = 4*y + 143, 5*t = y - 142. Is y a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -2 - g**2 + 2. Suppose -4*r = -4*m + 1 - 5, 5*m + r = 13. Let n(s) = 2*s**m + 5*s**2 - 2*s**2 - 2*s**2. What is n(x(i))?\nAnswer: 3*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 9 + -272*22\/(-4). Is 1503 bigger than f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10005362 a multiple of 502?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*s - 122808 = -48468. Let i be s\/(-70)*(-20)\/(-6). Let o = -130 - i. Is 10 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -12621612, -25243205, -37864798, -50486391?\nAnswer: -63107984","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -27130*q**3 + 5*q**2 - 7*q + 2. Suppose 2*m - 13 = -3*a + 3*m, -2*a + m = -8. Let p be c(a). Let f = 291158 + p. Round f to the nearest one million.\nAnswer: -3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -b**2 - 17*b - 33. Determine l(-16).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in -138, 9, 4\/3, -1\/25?\nAnswer: -1\/25","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -0.3, -3, -127\/2, 1, -1\/8?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 21\/5 of a millennium?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1 - -1*(-23 + 1). Let n be (-2)\/(-1) - i\/1. Suppose 3*d = n + 37. What is the highest common divisor of 4 and d?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -20*i**2 - 405 - 13*i + 8*i - 395 - 15*i + 777 - i**3. Determine z(-19).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 280, 562, 844?\nAnswer: 1126","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 334483160 and 1870?\nAnswer: 1870","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nvdu when four letters picked without replacement from {d: 8, v: 5, u: 1, n: 5}.\nAnswer: 25\/11628","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -516 in 4\/3, -1\/44, 5, -1\/5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -778586 divided by 71.\nAnswer: -10966","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Are 861 and 861 equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 7290?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -40*t + 113*t + 45*t to a + q*t and give q.\nAnswer: 118","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 3124132 + 0?\nAnswer: 3124132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express 33*f**3 + 33*f**3 + 7*f - 62*f**3 - 21*f as g*f**2 + q + t*f + y*f**3 and give t.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 0.09 times 96653\nAnswer: 8698.77","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*z**3\/5 - 2806*z**2\/5 - 2240*z - 11192\/5.\nAnswer: -2*(z + 2)**2*(z + 1399)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.470344ms in seconds?\nAnswer: 0.000470344","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 4.273259 + 0.030941. Let z = m + -4.3. What is z rounded to three dps?\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence shs when three letters picked without replacement from snsh.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-5 - -4)*(-6)\/2. Is v\/((1\/3)\/(411\/9)) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (3\/(-2))\/3*-4. Suppose 0 = -b*l - 2*l + 64. Solve 2*s - 3*s - 3 = -w, -4*s + 2*w = l for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 962355 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 125235*i**3 - 327*i**2 + i - 322506313 wrt i?\nAnswer: 751410*i - 654","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 187 (b) 5 (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/7? (a) -2\/3 (b) -128 (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 33*g - 8*g - 2 + 2.\nAnswer: 25*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1230*u + 1233*u - 2469*u.\nAnswer: -6*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*q = 51 - 43, 5*q = -5*v - 25 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 1122180, 2244391, 3366602, 4488813, 5611024?\n\"Answer: 1122211*a - 31","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -171677*b**2*r**2 + 271738089*b**2 - 117*r**2 with respect to r.\nAnswer: -343354*b**2*r - 234*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = w**3 - 6*w**2 - 2*w + 14. Let m be v(7). Suppose -z = 3*k - 6766, -4*z + 45*k - m*k = -27096. Is z prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = 6*m - 2*m. Suppose -102 + 92 = 2*k. Let v(y) = -y**2 - y + 20. Let h be v(k). Sort m, -5, 5, h in descending order.\nAnswer: 5, h, m, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j = 5 + 7. Let h be ((-2)\/j)\/((-1)\/75). Suppose 4*x = -d + h, 0*d = 3*d - 5*x + 10. Is d a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -25*t**2 - t + 1. Let b be z(1). Let u = -19 - b. Let x(p) = 28*p**2 - 5*p + 2. Let y be x(u). What is y rounded to the nearest 100?\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:48 PM and 2:16 AM?\nAnswer: 508","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: ad1029 (base 15) to base 2\nAnswer: 11111011111011100111001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -3*z. Suppose -2*l = 2*l - 20. Let r(n) = -6*n**2 - 5*n - 5. Let w(a) = -18*a**2 - 16*a - 16. Let v(d) = l*w(d) - 16*r(d). What is v(j(g))?\nAnswer: 54*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q = -5*q - 8. Let m(x) = 5*x + 46. Let g be m(q). Suppose -2 = -2*j - 5*k, -3*j + 2*k + 3 = g*k. Solve i - 4*o = -o + j, -5*i + 5*o = 5 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -10322620 to the nearest one million.\nAnswer: -10000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 21 + -27 + (8 - 2).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -22, -35, -72, -145, -266, -447, -700, -1037?\n\"Answer: -2*j**3 + j - 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -249448 + 498906 - 249457 - l. Let w(n) = -12*n + 9. Suppose 0 = h + 2, 5*o - 4*h + 3*h = -3. Calculate o*w(b) + 9*q(b).\nAnswer: 3*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 18 - 26. Let b(h) = -h**2 - 10*h - 10. Let o be b(j). Let v = o - 6. Solve -p + 3 = -v for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12157865.\nAnswer: 5, 2431573","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 25 - 73 + 23 + 26 + 26*p to the form l + i*p and give i.\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -5.48 rounded to one decimal place?\nAnswer: -5.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 126\/(-108)*-39*(-15)\/((-210)\/8).\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:34 AM and 6:13 AM?\nAnswer: 159","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 233341 to the power of 1\/2, to the nearest integer?\nAnswer: 483","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 641 minutes before 3:58 AM?\nAnswer: 5:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*m + 71 = 2*u + 51 - 28, -3*m = u - 45 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 7.84, -0.2, -58?\nAnswer: -58","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1818133960 by 506444.\nAnswer: 3590","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 13872716 to the nearest integer?\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -2*((-4)\/(-10))\/2?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -29 + 32. Suppose -v*m + 0 = 2*u - 8, -6 = 3*m. What is the lowest common multiple of (-1 - 1) + 1 + 5 and u?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -16*j**2 + 69*j. Let w = 409 + -233. Calculate the lowest common multiple of w and t(4).\nAnswer: 880","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*r = 12*r + p + 80, 3*r = 4*p - 120. Let q be 93 - 1 - 2\/(-2). Let u = q + r. What is the remainder when u is divided by 14?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -o**3 - o**2 - 1. Suppose -2*n + 2*x - 4 = 0, -5*x + 3 = 2*n + 35. Let l = 6 + n. Determine s(l).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w - 3*l = 173, -2*w - 862*l - 304 = -863*l. Which is the closest to 1? (a) -5\/6 (b) w (c) -0.1 (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21*n - 1386 = 7*h, -385*n + 388*n - 4*h = -213 for n.\nAnswer: -67","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 439*l**3 + 1 - 19885579*l**2 + 19885579*l**2.\nAnswer: 439*l**3 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k = 3*o - 1012533, 1070827 = 3*o - 5*k + 58282. Round o to the nearest ten thousand.\nAnswer: 340000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 149 + 117 + 8 - 3*j**2 + 44 + (j**2 + 0*j**2 + 0*j**2)*(1 - 2 - 1).\nAnswer: -5*j**2 + 318","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-145*16\/(-320))\/((-111)\/(-888)).\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (10\/(200\/15))\/((-9)\/24). Let d(i) = 0*i**2 + 4*i**2 + 0*i - 4 - 2*i. Let n be d(b). Solve 2*u + 3*y + 13 = 0, -5*u - 5*y - n = 4 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:51 PM and 3:47 PM?\nAnswer: 56","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 0.3+14373466676.145\nAnswer: 14373466676.445","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 978 and 18649482?\nAnswer: 978","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -3*o - 7. Let k be l(-5). Let t be 4\/k + (-41)\/(-2). Let r = 19 + t. Solve -3*i + r = 5*c, -4*i + 28 = 3*c - 7 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 258 (b) -13.14 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7 - 8*d**2 - 7)*(3 - 3 + 2) - 24*d - 2*d**2 - 19*d + 48*d.\nAnswer: -18*d**2 + 5*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -56, -4, -39, 2, -175, -3 in increasing order.\nAnswer: -175, -56, -39, -4, -3, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(9)\/sqrt(3)*-2 + (0 + sqrt(108))**2.\nAnswer: -2*sqrt(3) + 108","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -106 + 678 = 4*b. Let y be (45\/12 - 3)*(46816\/84)\/38. Calculate the highest common factor of b and y.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -12, -58, -126, -210, -304, -402, -498?\nAnswer: -586","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -7\/2 (b) 9.4 (c) -115 (d) -0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 13 (base 4) to base 14.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1 + 6. Let f = 1.3 + -3.3. Let d = f + i. Which is the third biggest value? (a) d (b) 2 (c) -2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4 - (-3 + -1 + 3)*97.\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2332 (base 5) to base 10.\nAnswer: -342","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 7, p: 4, u: 4}. Give prob of picking 1 p and 1 u.\nAnswer: 16\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.988321nm in micrometers?\nAnswer: 0.000988321","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 381318921?\nAnswer: 3, 4707641","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -33*s**3 - 12*s**2 - 386*s + 141966 wrt s?\nAnswer: -99*s**2 - 24*s - 386","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 8150017*j + 6867324?\nAnswer: 8150017","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = d - 3. Let n be l(-1). Let p be (-52 - 4)\/n*(-36)\/8. Let j = p + 215. Calculate the remainder when j is divided by 39.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.14 in -0.43, -100, -3, -2, 1\/4?\nAnswer: -0.43","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*f**2\/3 + 63516056*f\/3 + 252143085612196\/3 = 0 for f.\nAnswer: -7939507","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**(-1\/5)\/n)**(-43)*(n*n**4)**(6\/13))**(7\/5) assuming n is positive.\nAnswer: n**(24528\/325)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qxzx. Give prob of sequence xzxq.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26526 = -9*o + 12*o. Is o 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 2152817?\nAnswer: 2152817","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a = -0*a + 15. Let n(k) = -19 + 3*k**2 - 6*k + 10 + 8*k + 7 - k - k**3. Determine n(a).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1.7684 - -1.9684. What is the closest to -1 in -0.6, -17, c, -4?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1689 + -2372.7551639?\nAnswer: -683.7551639","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1.67 + -112.33. Let y = -114.00098 - d. What is y rounded to 4 decimal places?\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 63784.11um in meters?\nAnswer: 0.06378411","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b - 2*r + 28 = 6*b, -2*b = 5*r - 28. Suppose -b*f - 925 = -4045. Round f to the nearest one hundred.\nAnswer: 800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -2 (b) -1\/8 (c) 76 (d) -2\/11 (e) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 - 0 - (-4 + 2)) + 295 + -311.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 9\/860 and 61\/172.\nAnswer: 860","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of ((-3883)\/(-2) + 1\/2)\/(35 - 33).\nAnswer: 971","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -210 + 15*p + 100 + 108 - p + 15*p.\nAnswer: 29*p - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1\/15 - 7\/5. Let n = -52 - -62. Let q be (-210)\/(-252)*((-7)\/n - -1). Which is the third biggest value? (a) -1\/2 (b) f (c) q (d) 1.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -14*b**2 - 64*b - 4. Let o(l) = 39*l**2 + 190*l + 11. Let n(s) = 4*o(s) + 11*u(s). Factor n(k).\nAnswer: 2*k*(k + 28)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q**5\/2 + 437761*q**4\/2 - 6128531*q**3\/2 + 31955699*q**2\/2 - 36770820*q + 31517784 = 0. Calculate q.\nAnswer: 3, 4, 437747","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh biggest value in -2, 0.1, -15.8, -4, -2\/41, -1, 3\/5?\nAnswer: -15.8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = 1175 - 15*g + 1177 - 2359. Let f(k) = -15*k - 6. What is -7*f(w) + 6*i(w)?\nAnswer: 15*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -204241\/18 + 11342. What is the common denominator of m and -113\/18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 50 minutes before 9:28 PM?\nAnswer: 8:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1187*b + 1149*b - 228*b - 1337*b**4 - 231*b - 195*b wrt b.\nAnswer: -16044*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 38 and 19862467.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 120 minutes before 12:19 PM?\nAnswer: 10:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 127602 is divided by 63801.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 18770 and 1922048.\nAnswer: 9610240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xggvxgxltvkg. What is prob of picking 1 g, 2 x, and 1 l?\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 - 1 + 6)*(6 - 6 + 4*z) + 144 - 146*z - 144 - 3*z + z - 1 + z as g*z + f and give f.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 102 is divided by 17 - (-3 + 3 + -4)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 711 - 208. Is s a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -l**3 + 5*l**2 - 3*l. Let o be z(3). Let x be (1694\/(-7623))\/((-2)\/3). Sort 2, o, x, -2 in ascending order.\nAnswer: -2, x, 2, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.1872 times -91\nAnswer: 17.0352","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -279*o**2 - 4*o + 284*o**2 - o**3 + 7 + 6*o + 0*o. Let c = 6 + 0. Determine z(c).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*h = 3*a - 8, -5*a = 3*h - 7*h for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -96 - (0 - (7 - (7 - (12 + -8)))) - 1?\nAnswer: -93","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*l - 11*l + 6 = 0. Let r(t) be the second derivative of 0 - 1\/8*t**4 + 1\/80*t**5 - 2*t + 1\/2*t**l - t**2. Solve r(p) = 0 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 514910000 to the nearest 1000000.\nAnswer: 515000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 15 (base 7) in base 10?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 54619.6um to nanometers.\nAnswer: 54619600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 31330225?\nAnswer: 5, 89, 14081","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -83, -247, -443, -671, -931, -1223, -1547?\nAnswer: -1903","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -4802891, -9605793, -14408681, -19211549, -24014391, -28817201, -33619973, -38422701?\n\"Answer: r**3 + r**2 - 4802912*r + 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 203081.\nAnswer: 31, 6551","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 68863 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*j + 4*c - 148 = -4*j, 0 = -2*j + 3*c + 99. 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: Collect the terms in 12*w**3 + 10*w**3 - 3*w**2 + 2*w**2 - 19*w**3.\nAnswer: 3*w**3 - w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 1 = -60\/143?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i + 35 = 6*i - 5*d, -29 = -3*i - 5*d. Calculate the smallest common multiple of 16 and i.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6314454.\nAnswer: 2, 3, 350803","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Do -2834 and -25505\/9 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) be the first derivative of -y**2 - 2\/3*y**3 - 2 - y. What is h(2)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1420?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put -37, 3, 63 in descending order.\nAnswer: 63, 3, -37","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 2, w: 3, q: 12}. Give prob of picking 1 q and 3 w.\nAnswer: 3\/595","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1 + 5. Suppose -26 = -v + 45. Let z = v - 68. Sort 0, z, 2, k in descending order.\nAnswer: k, z, 2, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*s**2 + 21*s + 132.\nAnswer: -3*(s - 11)*(s + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -4*x + 5*x. Let k be 13\/3 - x\/(-9). Suppose 2*v + 32 = 6*v + k*g, 0 = 5*v + 3*g - 27. What is the second biggest value in -0.1, v, -0.5?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9098 - 9386 = -36*a for a.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -29, -2\/74231, -4?\nAnswer: -2\/74231","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -1, -16, 0.1, 639?\nAnswer: -16","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-1 - -4)*3\/3. Suppose 2*w - 54 = -4*s, -36 = -y*s + w + 12. Is 216\/10 + 6\/s a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3716343*o**4 + 2169228*o.\nAnswer: 44596116*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*t + 0*r = r, 0*t = -t + 8*r - 12*r for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 1260, 1704, 2450, 3504, 4872?\n\"Answer: w**3 + 145*w**2 + 2*w + 1112","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 6 (b) -3 (c) 15.22 (d) 0 (e) 22\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -29*f**3 - 13*f**2 + 2*f + 13. Let a(n) = -14*n**3 - 6*n**2 + n + 6. What is -13*a(d) + 6*m(d)?\nAnswer: 8*d**3 - d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-3657)\/424 + (-4)\/((-32)\/(-3)). Let c be -4 + (7 + z - 4\/(-1)). Suppose -5*l - 25 = -j - 3*j, 0 = 4*j. Is l bigger than c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 44948?\nAnswer: 2, 17, 661","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -21122200 (base 3) in base 15?\nAnswer: -19c0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = m**3 + 7*m**2 - 9*m - 1. Is 6 a factor of f(-8)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + sqrt(24)\/((sqrt(900) - sqrt(36))\/sqrt(3)).\nAnswer: -4 + sqrt(2)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t - 8*t = -36. Let m be 24\/(-20)*(-40)\/12 + t. Suppose a - u - 9 = -2*u, 4*a - 18 = 2*u. Do a and m have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -9*r**4 - 138*r**3 - 609*r**2 - 644*r - 196. Let m = -146 - -147. Let f(b) = -b**2. Let z(t) = m*s(t) + 4*f(t). Factor z(w).\nAnswer: -(w + 7)**2*(3*w + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-78)\/(-8)*(-1120)\/(-840).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 132*w - 10 = -4*j + 129*w, -2*j + 6*w = -20 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -m**2 - m + 1. Let z(s) = -s**3 + s**2 - s + 4. Let l(q) = -q**3 - 4*q**2 + 6*q + 5. Let k be l(-5). Let w be z(k). Determine i(w).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate t**4 - 2*t**2 - 17819*t + 6113054 with respect to t.\nAnswer: 4*t**3 - 4*t - 17819","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -12 + 12. Suppose -5*l - 25 = -4*k - 3, a = 2*l + 4*k + 20. Let s be ((-65)\/(-3))\/(2\/l). What is s rounded to the nearest ten?\nAnswer: -70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-130)\/4*18\/30*(-6)\/(-9)\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 6*c**2 + 16*c - 5*c**3 - 1194 + 1196 - 17*c as p + j*c**3 + r*c + m*c**2 and give p.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 10511 + -9744. What is the greatest common factor of u and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -2*t**2 + 10*t - 1. Let k be n(5). Let q be ((-44)\/24)\/((-3)\/(-18)*k). Solve 5*b = -5*c + b - q, 5*b = -3*c - 17 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 188 - 132. Suppose 158 = 5*k + 2*j, 0*j - i = -2*k + j. Which is smaller: 26 or k?\nAnswer: 26","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -389, -1537, -3451, -6131, -9577, -13789?\n\"Answer: -383*y**2 + y - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 24 + -22. Let q = -35.1 + 35. What is the closest to q in w, 6\/11, -2?\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000007819552781 rounded to 6 dps?\nAnswer: -0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 221902830 a multiple of 65?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 70*q**3*z - 2*q**3 + 25*q**2*z + z wrt q.\nAnswer: 420*z - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 123*j**3*u**2 + 3*j**3*u + 2*j**2*u**2 + 2*j**2*u + 2*j*u**2 - 26*u**2 - 58*u + 3959 wrt u?\nAnswer: 246*j**3 + 4*j**2 + 4*j - 52","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = p**3 + 7 + p + 5*p + 7*p**2 + 0*p. Let o be d(-6). Suppose -5*m + 98 = 2*q - 56, -5*m - 308 = -4*q. Calculate the highest common divisor of o and q.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 154908 and 1404.\nAnswer: 468","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -11220202 + -2?\nAnswer: -11220211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.1 + -1.2. Let i = m - -0.85. Let j = i - -0.450000156. Round j to 7 dps.\nAnswer: 0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 100 - 97. Sort -3, -1, -2, d.\nAnswer: -3, -2, -1, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -141792*c**3*r**2 - c**3*r - 28129*r**2 - 4*r wrt c?\nAnswer: -425376*c**2*r**2 - 3*c**2*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 4731403 - -0.9048\nAnswer: 4731403.9048","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -238865378, -238865380, -238865382, -238865384, -238865386, -238865388?\nAnswer: -238865390","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 130831.7t to micrograms.\nAnswer: 130831700000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 42654 is divided by 257?\nAnswer: 249","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/25 of a milligram in micrograms?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 7\/((1\/(-3))\/1). Let q(z) = -z**2 - 20*z + 22. Let d(k) = 5*k + 103. What is the smallest common multiple of q(v) and d(-19)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1065857 is divided by 1363?\nAnswer: 1354","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3383 (base 9) to base 15.\nAnswer: b20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-593)\/(13\/39*-1).\nAnswer: 3, 593","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 16.9 times 0.015?\nAnswer: 0.2535","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor i**5\/4 + 3*i**4\/4 - 5*i**3\/4 - 3*i**2\/4 + i.\nAnswer: i*(i - 1)**2*(i + 1)*(i + 4)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-nine sixths of a year in months?\nAnswer: 58","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -31784314, -31784310, -31784302, -31784290, -31784274?\nAnswer: -31784254","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand -48*a**2 - 311*a**2 - 61*a**2 + (2*a - 4*a + 0*a)*(-a + 0 + 0) - 3*a**2 + 3*a**2 - 3*a**2 + 3*a**2 - a**2 - 3*a**2 + a - a + a**2.\nAnswer: -421*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -38676*c**2. Let q(l) = 4*l - 8. Give q(n(r)).\nAnswer: -154704*r**2 - 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-23995)\/(-30))\/(11\/66) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -77*a**4 - 1 - 161*a - 2*a**3 - 23*a**4 - 161*a + 3*a**3 + a**2 + 328*a to the form k*a**2 + s + x*a**4 + l*a + q*a**3 and give l.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*g + 5649 = -1324. List the prime factors of g.\nAnswer: 367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-2 - -1)\/(2 + (-526)\/262)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2764838960 a multiple of 380?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 213 = 2*v + 3*z, -5 + 0 = 5*z. Suppose -2*t = -0*o + 4*o - 92, -5*o + v = -t. What are the prime factors of o?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -t**2 + t + 4. Let v be (-8 + 56\/7)*(0 - 1). What is j(v)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0001952662684 rounded to seven decimal places?\nAnswer: 0.0001953","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = 2*t - 1. Let u(n) = 9*n + 25. Determine -5*g(v) + u(v).\nAnswer: -v + 30","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (f - 3*f + 4*f)*(-4*f + f**2 + 4*f) + f**2 - f**3 - f**2 - 66*f**3 - 3*f**3 + 161*f**3 + 1 - 2*f**3 - 1.\nAnswer: 91*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 28651.\nAnswer: 7, 4093","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28*j - 13781 - 43087 = 0. List the prime factors of j.\nAnswer: 3, 677","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*b - 21*s - 11 = -24*s, 5*b - 22 = -2*s for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 129 is divided by 27?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n = 4*m - 40, -3*m + 49 = 5*n + m. Let h be (-3 + n)*(-4)\/(-6). Suppose -2*i - g = 3*i - 76, h*i + 5*g - 65 = 0. What are the prime factors of i?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-46)\/(-3))\/(152\/72 - 2). Let o = x + -133. Solve 5*m = -3*b - 30, -2*b = 2*b - 5*m + o for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1101011110100 (base 2) in base 10?\nAnswer: 6900","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 695.4578kg?\nAnswer: 0.6954578","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -17, -5593, 3 in increasing order.\nAnswer: -5593, -17, 3","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*y - 680. Is y a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -3 - b162a?\nAnswer: -b1631","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = 4*r**3 + r**2 + 3*r + 2. Let y(d) = -4*d**3 + d**2 - 5*d - 4. Let l(q) = -5*q**3 - 5*q - 4. Let b(j) = -3*l(j) + 2*y(j). Calculate -3*b(x) + 5*o(x).\nAnswer: -x**3 - x**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 42370?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 83982 is divided by 500?\nAnswer: 482","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v - 201 + 56 = 0. Let a = -538 - 259. Calculate the remainder when -2 + a\/(-7) - 1\/(-7) is divided by v.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*w = 12*w + 217. Let l = w - -3. Let v = l + 147. What are the prime factors of v?\nAnswer: 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -58 + 83. List the prime factors of o.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 271*z**3 - 280*z**2 wrt z?\nAnswer: 1626","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 0, -12, -13, 47656 in decreasing order.\nAnswer: 47656, 0, -2, -12, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -8822 and -28.4?\nAnswer: 250544.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -3.674 to one decimal place.\nAnswer: -3.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 884 and 52.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*s**4 + 19*s**4 + 60*s**4)*(-s + 6*s - 3*s) + 2*s**5 - 3*s**5 - s**5 + 9*s**5 - 15*s**5 + 24*s**5.\nAnswer: 182*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in thirty-three fifths of a centimeter?\nAnswer: 66","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = w**2 - 17*w - 32. Let p be c(17). Let u be (-2)\/1 - p\/(8 - 4). Let t(z) = -z**2 + 10*z - 14. What is t(u)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -62877617*v - 29980611 wrt v?\nAnswer: -62877617","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qyqcqtyrqrtcyrqqc. What is prob of picking 2 c and 1 t?\nAnswer: 3\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 508 + -66950458292\nAnswer: -66950457784","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in twenty-seven quarters of a decade?\nAnswer: 810","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = 333*d**2 + d - 1. Let p(r) = -r. Calculate a(p(v)).\nAnswer: 333*v**2 - v - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 49981990?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4)\/(-15)*-3*51100\/17885.\nAnswer: -16\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 5*f**5 + 23*f**4 - 434*f**2 - 1394664*f.\nAnswer: 100*f**3 + 276*f**2 - 868","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put 633169, 278, -1 in descending order.\nAnswer: 633169, 278, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:16 AM and 8:41 AM?\nAnswer: 25","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*d - d + 42920 = 0. Let p be (-721237)\/168 + (-16)\/(-56). Let h = p - d. Find the common denominator of -3\/10 and h.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -32 in -2, -0.3, 12, 725, -3.8, -0.5?\nAnswer: -3.8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7*7\/588*(370\/(-55) + 6)?\nAnswer: -2\/33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 117685 to the power of 1\/7, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 5331 and 3291?\nAnswer: 5848107","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*o - 4 + 22 = 0. Suppose 0 = -o*q - 54 + 162. List the prime factors of (-27 + -1)*-1*q\/14.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -13 - (0 + 3 + -3). Let u = k + 50. What is the remainder when u is divided by ((-2)\/(-3))\/((-4)\/(-78))?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (60\/105)\/((528\/(-28))\/2)?\nAnswer: -2\/33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -o*y*z - 90*o*y + 35810*y*z**2 - 38*y*z + 165*y + z**2 + 182 wrt z?\nAnswer: -o*y + 71620*y*z - 38*y + 2*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1667*q**2 - 320*q + 1631*q**2 + 322*q - 2 + 2.\nAnswer: -36*q**2 + 2*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.16 + 7.84. Let t = f - 5. Let w be 1\/((80\/(-8) - -9)*1\/3). Which is the third biggest value? (a) 2\/5 (b) w (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1063069 - 5*i**2 - 35*i + 1063069.\nAnswer: -5*i**2 - 35*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -0.5 (b) 4\/9 (c) 1\/3 (d) -9 (e) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 4, g: 2, y: 5, r: 1, a: 4}. Give prob of sequence brb.\nAnswer: 1\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0 - 0. Suppose -3*c - 1 - 11 = -3*z, 4*c = -4*z. Suppose j*f = -z*f + 6. Solve -10 = f*r + 2*r for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1164 = 8*b - 1348. Suppose 17188 = b*i - 310*i. Is i a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -772 - -7707\/10. Find the common denominator of -71\/28 and w.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 1 (b) -1 (c) -0.2 (d) 7 (e) 18 (f) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 124228.\nAnswer: 2, 13, 2389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 29849251?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -0.02, -69, -8, -0.6?\nAnswer: -69","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = 2*j**2 + 1 + 2 + 8*j + 1 + 0*j**2. What is the smallest common multiple of y(-5) and 44?\nAnswer: 308","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3165, 3157, 3135, 3093, 3025, 2925, 2787?\nAnswer: 2605","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -9*c**2 + 3*c + 4. Let j(x) = 10*x**2 - 4*x - 5. Determine 4*j(u) + 5*r(u).\nAnswer: -5*u**2 - u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (((-21)\/(-4))\/(-3))\/(4\/24)*3000\/1125\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 27 (b) 0.14 (c) -2\/15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Determine f so that -5*f**2 - 185*f - 350 = 0.\nAnswer: -35, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or -55871?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) 5.33 (b) 0.2 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*a**4 + 2163*a**3 - 376050*a**2 + 1839348*a - 2191752 = 0. What is a?\nAnswer: 2, 3, 278, 438","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1088\/10*5\/(-9). Let l = m - -11918\/45. Let w = 205 - l. Which is the third biggest value? (a) -5\/4 (b) 2 (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (8\/((-1)\/(-1)))\/((-80)\/(-960))*(-54)\/108.\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 11 + 213?\nAnswer: 230","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -5*d*l*z - 11*d*l - 2*d*z - 2*d + 60*l*z - 1 with respect to z.\nAnswer: -5*d*l - 2*d + 60*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1377 + 1376. Which is the second biggest value? (a) -5 (b) -17.4 (c) o (d) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 9527\/2 - 5043. Is r at most -279?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -4242 + 4260. Solve q = -5*t + 43 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lz when two letters picked without replacement from zlllllll?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find l such that -4*l**3 - 164*l**2 + 4*l + 164 = 0.\nAnswer: -41, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 8\/263133 and 53\/128778?\nAnswer: 66835782","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*y + 9 = 3*y, 0 = 5*m + 5*y - 55. Let v(g) = 14 - m - 3*g. Let j(a) = a**2 + 15*a - 15*a. Calculate v(j(u)).\nAnswer: -3*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 553 minutes after 12:52 PM?\nAnswer: 10:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 + 5 - 3)*(-6*s + 8*s + 11*s) - 10*s - 4*s + 2*s in the form l*s + t and give l.\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 45*w + 28 = 52*w. Suppose 4*k + w*a = 51020, 0 = 2*k - 9*a + 4*a - 25482. Is k a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 279 is divided by 159.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = -7*j + 3*j. Let q be (0\/(-9))\/(-1 - j). Is 3 + (-52 + q)\/(-1) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 578 minutes before 5:09 PM?\nAnswer: 7:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 232897.5 nanoseconds?\nAnswer: 0.00000006469375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -77\/65700 and 1\/3285.\nAnswer: 65700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -146 divided by 128.\nAnswer: -73\/64","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 253 minutes after 11:25 AM?\nAnswer: 3:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*n + 24 = -4*n. Let w = 10 + n. Suppose 65 - 47 = 2*y. Solve -w*t - g - 4 = y, -5*t - 26 = -2*g for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i - 1450 = -1690. Calculate the highest common divisor of i and 1704.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 7\/3372 and 62\/23075.\nAnswer: 77808900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y and 1 z when two letters picked without replacement from {j: 3, z: 4, n: 1, y: 5, a: 4, k: 1}?\nAnswer: 20\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 27929 and 58013611?\nAnswer: 2539","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 54\/233 <= 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 98 minutes before 7:27 AM?\nAnswer: 5:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 0, 167 in descending order.\nAnswer: 167, 0, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = 12*a**3 + 37*a**2 + 7*a + 9. Determine z(-3).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jjjjjjojojj. Give prob of picking 2 j.\nAnswer: 36\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 5115, 10223, 15331?\n\"Answer: 5108*w + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -52 and -2.\nAnswer: 104","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide -562632 by -1428.\nAnswer: 394","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = 2*v**2 + 258*v + 760. Let j be x(-127). Calculate the highest common divisor of 12978 and j.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = g**2 + 4*g - 2. Let o be w(-5). Solve 0 = 4*x + 3*t + 18, -4*x + o*t = 5 + 1 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 56 and 154.\nAnswer: 616","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 11612082?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + sqrt(50)*1 + sqrt(50))**2 + sqrt(400)\/((sqrt(32)\/sqrt(4) - sqrt(8)) + sqrt(8)) + 0.\nAnswer: 105*sqrt(2) + 225","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -34*o**3 - 3*o**2 - 4*o - 2. Let c be s(-1). Suppose 24*a = c*a - 270. Is 20 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1841 and 231338219.\nAnswer: 1841","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 113 + -201033330012?\nAnswer: -201033323233","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*h**2 + 1405*h + h**2 + h**2 - 1407*h.\nAnswer: 2*h**2 - 2*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1 - i + 0*i - i + (3 - 3 - 2)*(2*i - 3*i + 3*i).\nAnswer: -6*i - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -9334.9994853 + 9335. What is k rounded to 5 dps?\nAnswer: 0.00051","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-16 + 12 - -3)*(-1 + -2).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (((-4)\/6)\/1)\/((-4)\/18). Suppose -2*d + s*d + 28 = 0. Let p = d + 32. Solve -r = -p*r - 6 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3898441739 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert -423853 (base 13) to base 15.\nAnswer: -20953a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -6849 and -5760?\nAnswer: 39450240","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 1064, 16, 86.\nAnswer: 3, 16, 86, 1064","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00001192272563 rounded to six dps?\nAnswer: -0.000012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3121687?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((279\/(-84))\/31)\/(-4*(-12)\/32).\nAnswer: -1\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1.92 + 2.1. Let x = 0.180029 - b. Round x to 5 dps.\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.01610238 times -1?\nAnswer: 0.01610238","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7230129?\nAnswer: 3, 2410043","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = r**2 + 2*r - 1. Let i be q(1). What is the common denominator of i\/(-10) - 39\/(-70) and (-15)\/(-4)*12\/(-14)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.02*0.2.\nAnswer: -0.004","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 - 6 - -6) + -5 + -1?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -174 (base 9) to base 14\nAnswer: -a8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.08 - -0.12. Suppose -13*g + 3*g = -g. Let f(d) = -d + 1. Let j be f(g). What is the closest to j in h, -3, -2?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 1 + 18*(-3)\/3. Let t(q) be the second derivative of -7*q**5\/20 + q**4\/2 + q**3 - 3*q. Let y(d) = 20*d**3 - 17*d**2 - 17*d. What is c*t(h) - 6*y(h)?\nAnswer: -h**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 362521303 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 24199 to the nearest integer?\nAnswer: 156","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 (base 16) in base 14?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g = -g + 6. Suppose g*y - 5*f - 24 = 0, -y = -f - f - 12. What are the prime factors of y?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3*((-24)\/(-90))\/((-2)\/5)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand -6*l**3 + 2*l**3 + 3*l**3 + (0*l - l - l)*(6*l**2 - 3*l**2 - 4*l**2) - 511*l**3 - 7*l**2 + 174*l**3 + 217*l**3.\nAnswer: -119*l**3 - 7*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 divided by -2347?\nAnswer: -1\/2347","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 11209*j*m**3*n**2 + 83*j*m*n**2 + 248*m**3*n**2 + m**3*n - 1256*m**2*n + n**2 wrt j?\nAnswer: 11209*m**3*n**2 + 83*m*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (6\/9)\/((-10)\/6*-2)?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1196? (a) -5.4 (b) 0 (c) -1.6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = f**3 - 5*f**2 - 1. Determine n(4).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1 - 7 + 117*a**6 + a**2 + 14 - 2*a**5 - 10 + 23*a**2 wrt a.\nAnswer: 14040*a**3 - 120*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -82*o - 85*o - 94*o - 76*o + 323*o.\nAnswer: -14*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 181*d + 207*d - 17*d.\nAnswer: 371*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**(-2\/7))**34)**10*(j\/j**(-1\/2))\/(j\/(j\/(j*j**(-2\/9))))*j**2*j**(-2) assuming j is positive.\nAnswer: j**(-12149\/126)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 47*m**4*w + 1482*m**3*w + 3*m*w + 1653636*w wrt m?\nAnswer: 188*m**3*w + 4446*m**2*w + 3*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 4 - 2*s)*(246*s - 409*s + 253*s - s - s + 3*s - 5*s + 0*s + 4*s + (-3 + 3 - 2*s)*(0 + 0 + 2) - 3*s + 2*s + 2*s - 2*s - s + 2*s).\nAnswer: -172*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -714 + 690.04. Let q = -23 - a. Let t = -1.2 + q. Round t to 1 decimal place.\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4884309 is divided by 6700?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u, 1 j, and 1 k when three letters picked without replacement from {u: 7, v: 6, x: 1, k: 2, j: 1}?\nAnswer: 7\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 13231 (base 4) in base 11?\nAnswer: 409","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 149 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -6*((-3)\/(-6))\/(-1). Suppose o*r = 2*r - 2*f - 6, -r + 14 = -3*f. Suppose 0 = -p + 5 - r. What is the units digit of p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3524616 times 0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 7 + -2 + -2 + (56 - 87)\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.23 (b) 101 (c) 265\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-57 + 61)\/(16 + -22 - 404\/(-66)). Let q = 0 - -0.2. What is the closest to 1 in 3, p, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 265 + -265.0218. What is n rounded to 3 decimal places?\nAnswer: -0.022","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*d - 4*o = -21, 2*d - 3*o + 14 = -7*o for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.5 + -1.5. Let y be (-7)\/2 - 6\/(-3). Suppose 2*q - 2 = d, 2*q - 2 = -0. What is the closest to 1\/2 in m, d, y?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 103 and 80 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 2, o: 3, b: 2, h: 1, w: 6}. Give prob of sequence obw.\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = w**2 - 6*w - 13. Let m(y) = 3*y**2 - 17*y - 37. Let n(p) = 8*b(p) - 3*m(p). Let z be n(4). Solve -3*h + 2*q = -z*q - 8, -3*h - 16 = q for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 93277210 by -65.\nAnswer: -1435034","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -m**4 - 224*m**3 + 360*m**2 wrt m.\nAnswer: -24*m - 1344","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-100)\/(-6)*(4 - -13556). What is l rounded to the nearest 10000?\nAnswer: 230000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -151*p + 2420 + 172 = 11*p. Solve 3*r = -p*r - 76 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 66 and 48.\nAnswer: 528","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 415290383 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 515676685 times 0.2\nAnswer: 103135337","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00050058643 rounded to four dps?\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -159 from 52057231.\nAnswer: 52057390","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express (45*o - 93*o + 47*o - 54)*(-2 - 2 + 3) as d + p*o and give d.\nAnswer: 54","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 4.132 - 4.1. Let u = -0.02 + n. Let a = 24.988 + u. What is the closest to 0.1 in a, 5, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = l**2 + 5*l - 9. Let k be f(-9). What is the highest common divisor of 9 and k?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4538?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 2185633 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1230113320 (base 4) to base 8.\nAnswer: 1542770","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k - 32 = 59*b - 63*b, 32 = 5*b - 3*k. Let d(t) = 8*t - 8. What is d(b)?\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + -2 + sqrt(720)*1 + sqrt(720) + sqrt(720).\nAnswer: 2 + 36*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 499933502?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 54780 and 726?\nAnswer: 602580","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 1428, 5921, 13456, 24063, 37772, 54613, 74616, 97811?\n\"Answer: 5*g**3 + 1491*g**2 - 15*g - 53","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 2799438 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 799649 divided by 357.\nAnswer: 799649\/357","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (-1701)\/(-7)*942\/(-4239)\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -169*m**2 + 4*m + 2. Let h(i) = -6*i. What is h(w(g))?\nAnswer: 1014*g**2 - 24*g - 12","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 211 + 12. What is the tens digit of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1528 + 5079. Is x a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -144 (base 8) to base 16\nAnswer: -64","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 501*c = 2*h + 131*c - 1892, -c + 0*c = 4*c + 25 for h.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3.3, -7, -6\/7, -0.5, -2\/15 in decreasing order.\nAnswer: -2\/15, -0.5, -6\/7, -3.3, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t - 3 = 5*t. Which is smaller: t or -33\/2?\nAnswer: -33\/2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = 8*n**3 + 5*n**2 - 6*n + 9445. Let l(f) = -39*f**3 - 28*f**2 + 30*f - 47225. Let g(z) = 3*l(z) + 14*w(z). What is the first derivative of g(j) wrt j?\nAnswer: -15*j**2 - 28*j + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1265 = -7*l + 1052. Is l a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = 1463564*n - 7317817. Give z(5).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2 + 3. Let u(k) = 4*k**3 - 3 + 3 + 1. Is 5 a factor of u(q)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 715 and 2530.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = o**3 + 6*o**2 + 3*o + 46. Calculate the lowest common multiple of g(-5) and (-44)\/(-5)*(-5)\/(-2).\nAnswer: 616","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = g + 3*s - 14, -3*g + 6*g - 3*s = 102. What is the remainder when 74 is divided by g?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1591193 and 38?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**(18\/7)*f**10*f)**(-7))**14 assuming f is positive.\nAnswer: f**(-1330)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of ((-96)\/(-36))\/((-1)\/(-9)) and 15.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/4? (a) 1 (b) -0.2 (c) 466 (d) -0.05 (e) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -3.7 - 0.3. Let l = 3 - 5. Let x = -1.7 - l. Sort x, o, -5 in increasing order.\nAnswer: -5, o, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s = -s, 0 = -t + s - 2. Let k = -0.5 + 1.5. What is the nearest to -1 in k, t, -4?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o, 2 q, and 1 n when four letters picked without replacement from {q: 12, n: 3, o: 3}.\nAnswer: 33\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 5.15 - 0.15. What is the nearest to 1 in u, 0.5, 2?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = 2*z + 2. Let f(m) = -m - 1. Let b(g) = 3*a(g) + 4*f(g). What is the units digit of b(3)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 minus -2103.085769534?\nAnswer: 2093.085769534","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r = o - 60, 29*r - 2*o = 32*r - 176. Calculate the greatest common factor of r and 32.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6900393?\nAnswer: 3, 2300131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8 = -153*k + 151*k for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = 9*q**2 - 3. Let f(j) be the first derivative of -j + 218. What is a(l) - 3*f(l)?\nAnswer: 9*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1825*b + 259464 = 5391*b + 138627 - 200103 for b.\nAnswer: 90","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r + 8*j - 4*j = -32, r = j + 6. Calculate the remainder when r is divided by 6.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 1, n: 1, u: 2, f: 2, m: 1}. What is prob of picking 1 n and 1 f?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31 = 5*a - 36. Let d be a + -5 - (-15 + -15). Calculate the highest common divisor of d and 234.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 19944 - 19674. Suppose 2*c - o - 19 - 3 = 0, 3*c + 3*o = 15. What is the greatest common divisor of c and p?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16 = 5*a + 9 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 404 + -624. Let i = 374 + x. List the prime factors of i.\nAnswer: 2, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -36*z**3 + 11*z**3 + 11*z**3 + 5*z**3 + 10*z**3.\nAnswer: z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1 + 1. Suppose m = 3*x - 8*x + 1250000. Suppose -4*f + x = -5*f. Round f to the nearest 100000.\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = 20*k**2 + 126*k - 136. Give a(5).\nAnswer: 994","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 555 and 2582193.\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3305*k**4 - 3*k**3 - 1407*k**2 + 11*k + 121834?\nAnswer: -39660*k**2 - 18*k - 2814","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 57 - 55. Factor 27283 + 40*n - 5*n**i - 27283.\nAnswer: -5*n*(n - 8)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (30\/300 + -1*2\/(-5))*-14?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -9*m + 60*m + 153 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1395 is divided by 300?\nAnswer: 195","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express 9 + 2*b - 10 + 19*b - 8*b as z + v*b and give z.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.6, 0.05, 4 in increasing order.\nAnswer: -0.6, 0.05, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -150*t - 2407. What is x(-16)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 7104 and 264624.\nAnswer: 1058496","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*j = 5 + 10 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 40, 42, 40, 28, 0?\nAnswer: -50","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*m + 4*o - 9 = 2, 20 = 4*o for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 24861217 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -93*f**2\/2 + 90*f + 6 = 0. Calculate f.\nAnswer: -2\/31, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 190 and 76?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y = -p + 5, 3*p - y + 5 = 4*p. Suppose 2*z - 22 = -2*x + z, -p*z = -5*x + 55. Suppose 3*n = -4*h + h - 6, h + 5*n = -22. Solve -h*i - x = -2 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4773*a - 1965*a**2 - 1961*a**2 + 2*a**3 + 3927*a**2 + 594*a to the form t*a**3 + g + k*a**2 + v*a and give k.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1178 + -1180. Which is the closest to -2\/3? (a) 5\/2 (b) 3\/7 (c) f (d) 0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11482 = 520*i + 12116 - 2798 for i.\nAnswer: -40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-10 - -10)\/(9\/6*(-12)\/(-9)). Which is bigger: a or 4\/4031?\nAnswer: 4\/4031","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 778*g**2 + 10 + 3254*g**2 - 8 as y*g**2 + l + c*g and give y.\nAnswer: 4032","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = 4*g - 52. Let p be a(17). Let h = p + -15. What is the biggest value in 5, h, -0.4?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 600 + 94 = 21*h - 482. Calculate the greatest common factor of 721 and h.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c + 24 = -12. Suppose 0*r + 3*r - c = 0. Suppose 5*u + 10 + 14 = 2*l, -2*l - 8 = r*u. Solve -n = -l*x + 4, -n + 24 = n + 4*x for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 20871578 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: Which is the third biggest value? (a) 0.5 (b) 0 (c) 0.128 (d) 2\/19\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 5052, 1760, -1 in descending order.\nAnswer: 5052, 1760, 1, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -165, -21, 37059.\nAnswer: -165, -21, 37059","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2481 is divided by 34.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 1104 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 571792 to the power of 1\/2, to the nearest integer?\nAnswer: 756","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r + 199 = 510 - 247. Solve 0 = -r*l + 86*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*t**2 - 134*t**3 + 135*t**3 - 2*t**2.\nAnswer: t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7115?\nAnswer: 5, 1423","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ej when two letters picked without replacement from {l: 1, j: 2, e: 1, f: 1, a: 2, x: 2}.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -7*m + 0*m**2 + 0 + 0*m**2 - 3 - m**2. Let i be k(-5). Suppose -4*b - 39 = -i*b. What is the tens digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/67 in -3, -4, -1\/5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = 2*b**3 - b**2 + 2*b - 2. Let k(f) = -1659*f**3 - 2*f**2 + 6*f - 34. Let q(n) = -k(n) + 3*m(n). What is the third derivative of q(c) wrt c?\nAnswer: 9990","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) be the second derivative of 1021*k**6\/30 + 271*k**3\/3 - k**2\/2 + 2*k + 273. What is the second derivative of p(a) wrt a?\nAnswer: 12252*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40 = -r + u, u = 2*r - 0*r - 85. Is 6 a factor of -2 - (3 + (4 - r))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.8? (a) 1 (b) -3 (c) 1\/2 (d) 921\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 48 and 888?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:22 PM and 11:59 PM?\nAnswer: 457","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 4.84 + 0.16. Put 1\/23, -0.5, a in increasing order.\nAnswer: -0.5, 1\/23, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 306 - 1133?\nAnswer: -928","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -99 + 99. Suppose z = 6*v + 4*v - 28130. Is v a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) be the first derivative of -f**3\/3 - f**2\/2 + 4*f + 24. Let t be u(-2). Solve t*v + 12 = -v for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 20157?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 217\/103 or 2?\nAnswer: 217\/103","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 634 minutes after 4:50 AM?\nAnswer: 3:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -25 + 12.5. Let x = p + 7. Let j = 0.5 + x. What is the second smallest value in j, 4\/5, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2183 = -5*r - 4*m + 2679, 4*m + 982 = r. What is the hundreds digit of r?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -3, -12, 5 in descending order.\nAnswer: 5, 0, -3, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 - -4 - (1 + -2 + 1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 268 is divided by 12?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 164348 and 7264?\nAnswer: 908","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.6737188ng in kilograms?\nAnswer: 0.0000000000006737188","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -a**3 + a**2 + 140*a - 597. Let s be u(5). Factor 1\/2*o - 1\/4*o**s + 1\/4*o**2 + 0.\nAnswer: -o*(o - 2)*(o + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 65281.871 to the nearest one thousand.\nAnswer: 65000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.19 take away 6.87521911895?\nAnswer: -7.06521911895","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in twenty-seven fifths of a centimeter?\nAnswer: 54000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 28375513 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1140 + -868. Let r be (-2)\/(-6) - (-850)\/51. What is the highest common factor of r and t?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 - (13 + -11 - (1 + 0))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-r + r - 4*r + (4 - 3 - 2)*(-2*r + 0*r + r))*(-1 + 0 - 1).\nAnswer: 6*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 (base 10) in base 13?\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 428 minutes after 9:34 PM?\nAnswer: 4:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -15676 or -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -18*w. Let k(g) = 181*g - 218. Determine k(h(z)).\nAnswer: -3258*z - 218","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = 2*h**2 + 474 - 474. Suppose -p + 2*f = -f - 15, 2*p = -4*f. Let o(i) = i + 6 - p. What is v(o(k))?\nAnswer: 2*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 0 - (8\/(-3))\/((-15)\/(-1530)). What is the second derivative of -2*r**3 + 16*r**2 - 280*r - 5 + m*r + r**3 - r**3 wrt r?\nAnswer: -12*r + 32","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = 7*r + 13. Suppose -3*l + 7 + 11 = 0. Let t(v) = -v - 2. Let d(p) = l*z(p) + 39*t(p). Determine d(-2).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (8\/(-10))\/(56\/(-20)).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 9.15551699 - 9.1549. Round a to 4 decimal places.\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/3, -0.5, 0, -43\/4.\nAnswer: -43\/4, -0.5, 0, 1\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.15, -4, 4\/3, -28, -7 in descending order.\nAnswer: 4\/3, -0.15, -4, -7, -28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 81*c**2 - 35*c**2 - 42*c**2.\nAnswer: 4*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 + (6 - -3 - -4) + -22?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = 3*f**2 - 56. Let u(c) = 36*c**2 - 92*c**2 + 4 + 55*c**2 - 4. Determine o(u(s)).\nAnswer: 3*s**4 - 56","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 - 3 - 4016*p**3 + 2007*p**3 + 2003*p**3.\nAnswer: -6*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -207, -152, -63, 54, 193, 348, 513?\n\"Answer: -c**3 + 23*c**2 - 7*c - 222","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (3 - 3 + 2*j)*(2*j**2 - j + j) - j**2 + j**2 + 2*j**3 + 2 + 0*j**3 + 8*j**3 + 0 in the form c*j + s*j**3 + n + x*j**2 and give n.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r - 54 + 39 = 0. Suppose 405 = r*z - 162. What is the lowest common multiple of 24 and z?\nAnswer: 1512","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 15588 and -0.08.\nAnswer: -1247.04","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n = s + 631, -4*s + 5 = -15. Suppose 4*y = -5*r - 15 + n, -y = 5*r - 51. Suppose 13*d = 16*d - 6. Solve d*l = 5*p - y, p + 8 = -4*l + 1 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2535 and 2379?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 13*z - 49 - 3 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*c + 3*c - 2*k = 12*c + 34, 24*k = -2*c - 8 for c.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -2864.15504 minus -8804?\nAnswer: 5939.84496","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kox when three letters picked without replacement from hhhghhhxghkhghhhhhoh?\nAnswer: 1\/6840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:36 PM and 10:53 PM?\nAnswer: 317","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 80272 to the nearest integer?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1542640 is divided by 3461.\nAnswer: 2495","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 9208 and 440.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = 7*u**2 + 2*u + 2. Let l(r) = -8*r**2 - 2*r - 3. Let n(x) = 2*x**2 + 32*x + 36. Let i be n(-15). Calculate i*b(f) + 5*l(f).\nAnswer: 2*f**2 + 2*f - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 4086569409 to the power of 1\/2, to the nearest integer?\nAnswer: 63926","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 175881816 to the nearest integer?\nAnswer: 13262","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 60723 and 81.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*w - 4 = 2*t, 0*t + t - 6 = -3*w for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 7672 and 1414?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -f**2 + 13*f - 5. Give r(14).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -22\/45 and -52\/76325.\nAnswer: 686925","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j - 4 = -b, 0*b = -3*j - 2*b - 2. Suppose 0*m = -m + 1. Solve j = i + m for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -266\/3 (b) -0.08 (c) -49\/6 (d) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 30\/(-54) + 444\/(-270).\nAnswer: -11\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6311 is divided by 900.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 93*h + 95*h + 113*h + 3*h**2 - 301*h.\nAnswer: 3*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -799055*y**2 - 494614 wrt y.\nAnswer: -1598110*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -1*(-10)\/(-5)*(765\/(-6))\/15?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-1)\/(-3) + (-6)\/18. Let g = -36.92 - -37. Is b greater than g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x + 833 = 5*u, 5*u - 2*x - 851 = -0*u. What are the prime factors of u?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 964*m**5 + 234*m?\nAnswer: 19280*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l + 2 - 4 = 0. Suppose 3*r = -0*r + 12. Let v be (4\/6)\/(r\/54). Solve l = 5*q - v for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 155 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert -30 (base 4) to base 6.\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t = -2*v - 5, 0*t + 3*v = 2*t + 9. Suppose -6*f + 42 = -t*f. What is the units digit of f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 11*u + u - 24. Let x(t) be the first derivative of 1\/2*t**4 - 2*t - 2*t**3 + 3*t**u + 1. Factor x(p).\nAnswer: 2*(p - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n**(-3\/13)\/(n\/(n**(2\/49)\/n)) assuming n is positive.\nAnswer: n**(-1395\/637)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 132011321 + 1?\nAnswer: 132011322","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i - 672 = -0*i. What is the highest common divisor of 28 and i?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 165, 166, 171, 180, 193?\nAnswer: 210","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-4\/7))**(-45) assuming f is positive.\nAnswer: f**(180\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + 5 + -7 + 6.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.29, -1\/2, -417?\nAnswer: -0.29","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 1763.565 nanograms?\nAnswer: 0.001763565","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xit when three letters picked without replacement from {t: 5, i: 1, y: 2, x: 8, f: 3}.\nAnswer: 20\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = k**2 + 12*k + 8. Let c be z(-11). Let h be 14\/(-2)*20\/(-70). Suppose -6*l + 4*l = h. Put c, l, 0 in decreasing order.\nAnswer: 0, l, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 328 is divided by 30.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 1\/4 (b) -199 (c) 3 (d) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 2717018177 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p + 2 = -i, -5*i + p = -0*p + 10. Let w be (i + 0)*(-44)\/8. Suppose 3*f - 4 = 29. Calculate the highest common factor of w and f.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 6, 108, 272, 492, 762, 1076, 1428, 1812?\n\"Answer: -g**3 + 37*g**2 - 2*g - 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = n**3 + 2*n**2 - 4*n - 4. Let u be -9*(-3)\/9 - 6. Determine o(u).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 4, i: 15}. Give prob of sequence ki.\nAnswer: 10\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.35 times 755.94?\nAnswer: -264.579","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 75055?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = j**3 - 6*j**2. Determine g(5).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 21424074?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -1 + 0 - (12 - (22 - 8))\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**(-2\/11))**(-3\/29))**(-7) assuming l is positive.\nAnswer: l**(-42\/319)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1835*t**3 - 1484*t**2?\nAnswer: 11010","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 5210, 4541, 3416, 1829, -226, -2755?\n\"Answer: -k**3 - 222*k**2 + 4*k + 5429","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 213.3002001 to three decimal places.\nAnswer: 213.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 847 to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 15706?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 32e61 - -a7?\nAnswer: 33018","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-l**2 - 4*l**2 + l**2)*(-4*l - l + 4*l)*(-1 + 0 - 6).\nAnswer: -28*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-1)\/3 - 26\/(-6). Suppose 4 = -0*t + w*t - 2*v, v = -4*t + 4. What is the smallest common multiple of 3 and t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5405031780 to the power of 1\/2, to the nearest integer?\nAnswer: 73519","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -10101011 (base 2) to base 3\nAnswer: -20100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -86 + 99. Suppose -b*q + 9*q - 16 = 0. Is 2\/4 + (-17682)\/q composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 29.8 + 0.09.\nAnswer: 29.89","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/3, -5, 5, -7146 in decreasing order.\nAnswer: 5, -2\/3, -5, -7146","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) 0.3 (b) 0 (c) 1 (d) 7 (e) -5.6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 448 minutes after 6:16 AM?\nAnswer: 1:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-14)\/(-63) - (-507)\/108) + -5. Suppose -4*o = -2*z + 5*z + 12, o + 3 = 0. What is the third smallest value in z, 2, l?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = 5*z + 7. Let m(y) = -3*y - 4. Let p(o) = -9*m(o) - 4*r(o). Suppose -3*s - 13 = 5. Calculate p(s).\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a + s - 7 + 2 = 0, 5*a + 3*s = 15. Let n = -816.6 - -817. What is the fourth smallest value in 0.5, a, n, -2?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1006 and 0.053936.\nAnswer: 54.259616","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert -25105 (base 6) to base 8.\nAnswer: -7201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*w**3 - 45905*w**2 - 1007375*w + 1053285 = 0 for w.\nAnswer: -9159, -23, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 638277.9mm?\nAnswer: 638.2779","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 0.22+34657\nAnswer: 34657.22","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 83691.1 centuries to months.\nAnswer: 100429320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 26702?\nAnswer: 2, 13, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = 4*x + 17. Calculate a(7).\nAnswer: 45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1191779253 to the nearest integer?\nAnswer: 34522","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1 - 12. Let o = d + 26. What is the tens digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) be the third derivative of -k**6\/960 + k**5\/120 + 48*k**2. Suppose n(m) = 0. What is m?\nAnswer: 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = s**2 - 5*s - 8. Let d be p(7). Let h(z) = -z**2 + 1. Let k(t) = -7*t**2 - 2*t + 5. Let g(i) = d*h(i) - k(i). Calculate g(-1).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 226210?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1474*g**2 + 2649*g**2 + 3154*g**2.\nAnswer: 4329*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2427 - 1381. Suppose 4*o = 3*v + 1587, 3*o - p = -3*v + 160. What is the units digit of o?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 29574714*o**3*t**2 + 2*t**2 - 14781910 wrt o?\nAnswer: 88724142*o**2*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (0 + (-2)\/(-6))\/((-3)\/(-9)). Let b be (((-12)\/(-16))\/(-3))\/(t\/(-44)). Let q(n) = 8*n - 2. What is the tens digit of q(b)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 438413662?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 20127 and -0.1?\nAnswer: 20127.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 1985844608 to the power of 1\/5, to the nearest integer?\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -77 = 11*j + 16*j + 112 for j.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(-4*sqrt(7))**2 - (sqrt(7) - -2*sqrt(28))) + -1.\nAnswer: -5*sqrt(7) + 111","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(1573) - sqrt(325)*-2)**2.\nAnswer: 1872","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*z + 32 - z - 87 + 32 + 2*z + 10.\nAnswer: 3*z - 13","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 5, -1.45, -0.06, 2, -0.1?\nAnswer: -1.45","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b**5\/9 + 6*b**4 + 350*b**3\/9 - 950*b**2\/9 - 116*b\/3 + 896\/9 = 0. What is b?\nAnswer: -7, -1, 1, 2, 32","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.87 + 3.83. Let h = 5 - w. Let v(j) = -j**3 + 9*j**2 - 20*j + 2. Let i be v(4). What is the nearest to -4 in h, i, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -130 divided by 5?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 313805696 divided by 4?\nAnswer: 78451424","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -41418.987 rounded to the nearest 10?\nAnswer: -41420","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 77297?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + sqrt(2) + 1)*-3.\nAnswer: -3*sqrt(2) + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z = 4*d - 16, -4*z = d - 13 - 0. Suppose -b + z = -2. Solve 2*h = -b*c - 12, -c + 5*c + 6 = h for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -f**2 - 3*f - 10. What is j(-6)?\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 14.8 - 16. Let a = y + 6.2. Sort 4, a, 0.3 in increasing order.\nAnswer: 0.3, 4, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 4 + -10?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.49615033 to 2 decimal places.\nAnswer: -0.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:25 PM and 8:50 AM?\nAnswer: 685","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*a = -9*a - 55 + 16. Let g be (-3)\/(-4)*(-16)\/(-30). What is the closest to g in -1.7, a, 4\/3?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.21 times 3\nAnswer: -0.63","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 45431941 a multiple of 816?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide -408954 by -13.\nAnswer: 31458","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -30*v - 182. Give p(-11).\nAnswer: 148","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 424.4 and -15868?\nAnswer: 16292.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-3 - (-102)\/18)\/((-4)\/(-18)). Let f be ((-6256)\/2)\/(-2 + j\/5). Round f to the nearest 1000.\nAnswer: -8000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from oagdoooooodogoooood. What is prob of picking 2 g and 1 a?\nAnswer: 1\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-100)\/4)\/5 - -5. Suppose 0*t + 2*t + 4*z - 842 = c, -2 = z. Calculate the greatest common divisor of t and 25.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 125\/4312 and 87\/182086.\nAnswer: 392577416","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1617?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2162904696?\nAnswer: 2, 3, 17, 1767079","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 31 is divided by 28.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Work out 519532 * -0.5.\nAnswer: -259766","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 4023947.8 take away 10391?\nAnswer: 4013556.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put 11, 0, 6218, -351 in increasing order.\nAnswer: -351, 0, 11, 6218","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-4)\/(-6))\/((7\/75)\/7). What is the highest common divisor of 20 and a?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -6*(44\/12 - 4). Suppose 0 = -3*l + i*l - 2. Let t be l\/(-4) - (-228)\/24. Calculate the highest common divisor of 10 and t.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.266 - -0.234. What is the closest to 1\/4 in n, -2\/19, -1\/5?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (1924\/(-28))\/(-13) - (-2)\/(-7). Suppose -2*s = -2*u + 2 - 48, -d = u. What is the lowest common multiple of 18 and s?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -v + 1. Let a(t) = 43*t + 1. Let b(w) = 5*w + 1. Let u(q) = a(q) - 7*b(q). What is 10*m(s) + u(s)?\nAnswer: -2*s + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*l**2 + 1744*l - 32040.\nAnswer: 2*(l - 18)*(l + 890)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = 8 + h + 0*h - 8*h. Let w(o) = 37*o - 40. Let y(p) = -11*g(p) - 2*w(p). Give y(7).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 1951256, 3902355, 5853456, 7804559, 9755664, 11706771?\n\"Answer: d**2 + 1951096*d + 159","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 458 + -455. Suppose 4*y - 19053 = 3*y + 2*s, x*s = -3. Is y composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-77)\/(-10) + 2\/(-10). Let k(n) = -n**2 - 114*n + 9978. Let m be k(-172). Let -w - 5\/4*s**m + 25\/4*s = 0. Calculate s.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3112*s - 4791 + 4791)*(5*s + s**2 - 5*s)*(-1 + 5 - 2).\nAnswer: -6224*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-3)\/(-1) - ((-130)\/156 + 94\/12). Let m = -41 - -41. What is the second smallest value in g, m, 0.5, 36?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of ((-55)\/110)\/((-2)\/11444)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 5372060, 5372059, 5372058, 5372057, 5372056, 5372055?\n\"Answer: -u + 5372061","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*g - 8 = 2*f - 20*g, 0 = -5*f + 4*g - 12 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 335\/(-385)*21 - (-21 - -3).\nAnswer: -3\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 501 minutes before 1:59 PM?\nAnswer: 5:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 4 + 3*(-3)\/9. Solve 2*u = a + 7 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 89581620150 rounded to the nearest 1000000?\nAnswer: 89582000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1228345\/977801 + 3\/88891. Which is smaller: 0 or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -2*v + 20. Let t be u(12). Let i(h) = -h**2 - 11*h + 10. Let c be i(-13). Is t\/c + 1581\/12 a multiple of 33?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -384.302 times -0.13\nAnswer: 49.95926","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1\/5, -2\/25, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3*a**2*m**2 - 9443*a**2*m + 3*a**2*y + a*m*y - a*y - 22021*m**3*y - m**3 wrt m?\nAnswer: 6*a**2 - 132126*m*y - 6*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c + k - 3*k = -16, 2*c = -2*k - 28. Let i(u) = u**3 + 11*u**2 + 10. List the prime factors of i(c).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 57\/628 and 41\/831315?\nAnswer: 3325260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = 4*z**3 + 5*z**2 - 8*z - 9. What is the tens digit of i(4)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = y - b + 3 - 0, -3*b = 5*y - 1 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 277\/120 - 23\/10. Let f(n) be the third derivative of 0*n + 0 - k*n**6 + 1\/3*n**3 + 3*n**2 + 0*n**4 + 1\/60*n**5. Give f(0).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*v - 17*v = -39*v. Suppose 2*y - o = -2*y + 24, 0 = -y + 4*o + 21. Sort v, y, -5.\nAnswer: -5, v, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 744 and 41137.\nAnswer: 987288","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 0 + (0 - (1 - -3))\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 24*((-2)\/(-8) + 1). Factor -14*n - 3*n - 4*n + 3*n**2 + q.\nAnswer: 3*(n - 5)*(n - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 16\/7, -3, -2\/9, 0.13?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in -2\/29, -0.7, 0.2, 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 2 + 1)*(-530*j**3 + 327*j**3 - 6589*j**3 + 1255*j**3).\nAnswer: -11074*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 191863, 767757, 1727573, 3071305, 4798947, 6910493, 9405937, 12285273?\n\"Answer: -v**3 + 191967*v**2 - 103","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1256 and 198134.\nAnswer: 314","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1483, 1, 5, -128 in descending order.\nAnswer: 1483, 5, 1, -128","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + -3 + ((sqrt(2299) + 1*sqrt(2299))**2 - sqrt(152)\/(sqrt(72) + sqrt(8))).\nAnswer: -sqrt(19)\/4 + 9193","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-24)\/5)\/(4\/(-550)). Suppose -17*h = -771 - 249. Calculate the greatest common divisor of x and h.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b - 3*a + 61 = 0, 2*b = -b + a + 45. Suppose -b*y + 11 = -13*y. Let t = -16 + 27. What is the greatest common factor of t and y?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = i**3 - 69*i**2 + 332*i + 76. What is t(64)?\nAnswer: 844","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 4878302 and 1144?\nAnswer: 286","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -290.9107 rounded to the nearest 10?\nAnswer: -290","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -5\/152672 and -41\/22754?\nAnswer: 4732832","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2116.\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 251 - -83. What is the remainder when w is divided by 56?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-16)\/(-80) - 1\/5\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1241760 divided by -10348.\nAnswer: 120","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 2, 0.07, -13, -1.\nAnswer: -13, -1, 0.07, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v + 6 = 2*l, -4*v = 3*l - 2*v - 28. Suppose l*b - 7*b - 22 = 0. Calculate the remainder when b is divided by 5.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -72*j + 90*j = -1242. Is j less than -71?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of (-328)\/(-18) + 2\/(-9) and 91\/5 + (-1)\/5.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zl when two letters picked without replacement from {m: 3, u: 3, r: 2, l: 1, z: 1}?\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*y = -7*y - 210. Let g be y\/(-6)*4\/7. Which is the biggest value? (a) 0 (b) g (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -22 (base 11) to base 16.\nAnswer: -18","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 66856.82 minutes?\nAnswer: 4011409200000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m = -3*u + 8*u - 32094, -3*u = -2*m - 21395. Let o = m + 23330. Is o a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -23 + 67 + 0 + -12.\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-56)\/(-12))\/((-6)\/9) + 5?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) be the second derivative of -y**5\/15 + 11*y**4\/9 + 8*y**3\/9 - 88*y**2\/3 + 1493*y. Factor k(s).\nAnswer: -4*(s - 11)*(s - 2)*(s + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z and 1 b when two letters picked without replacement from bbzzbb.\nAnswer: 8\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 12942\/45 - (-2)\/5?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y**2\/5 - 740*y - 775000 = 0. What is y?\nAnswer: -625, 1550","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: Solve -244*a - 98*a - 10946 = 48*a + 31*a for a.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 24199787.\nAnswer: 19, 1273673","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-15)\/(-90) + 16007974\/12 - -2. Round l to the nearest one hundred thousand.\nAnswer: 1300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2554 >= -2554?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is thirteen fifths of a litre in millilitres?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 474933?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 148*d**2*m**4 - d**2*m - 1001*d**2 + 632*d*m**4 + d*m - 130*m**2 wrt m.\nAnswer: 3552*d**2*m + 15168*d*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 54 + -43. What is the remainder when 32 - 0*2\/4 is divided by i?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 (base 9) in base 8?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 576333 - 1?\nAnswer: 576332","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Product of 5 and 0.1.\nAnswer: 0.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from aaauuaaaaaa. What is prob of picking 3 a and 1 u?\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 p when two letters picked without replacement from {f: 2, p: 2, u: 1, q: 1}?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 208 or -2\/7?\nAnswer: 208","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -7acc6 + -36?\nAnswer: -7b02c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -v**3 + 980*v**2 + 113719*v + 223510 = 0.\nAnswer: -103, -2, 1085","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(2*sqrt(7) + -1 - (0 + sqrt(7) + 4)))**2.\nAnswer: -90*sqrt(7) + 288","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*g = 4*x + 6, 20*g - 5*x = 16*g - 8 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/(b*(b**(2\/5)*b)\/b))**32*(b**(-2\/3))**43 assuming b is positive.\nAnswer: b**(-622\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Determine o so that 2*o**4\/13 - 60324*o**3\/13 + 222408*o**2 - 10841392*o\/13 + 10600128\/13 = 0.\nAnswer: 2, 44, 30114","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = 77*m + 29. Suppose 63*l = 61*l - 8. Let f(d) = -79*d - 29. Let b(r) = l*o(r) - 3*f(r). What is the first derivative of b(q) wrt q?\nAnswer: -71","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 941?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = 3*x**3 + 9*x**2 - 533*x + 164. Give b(13).\nAnswer: 1347","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 267 - 25a?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j*j\/(j*j**0\/j))**(-10\/3))**(-1\/51) assuming j is positive.\nAnswer: j**(20\/153)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:22 AM and 2:19 PM?\nAnswer: 657","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7 = -2*z - 5*y, -z - 27*y = -32*y + 4 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in -0.5, -3, -10, 1, 2\/9, 4?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -38 - 26?\nAnswer: -65","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 5 + 5)*(-2*h - 4*h + h) - 2*h - h - h + (-3 + 2 + 0)*(0*h + h + 2*h) + 30*h - 59*h - 10*h.\nAnswer: -36*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -108*z**3 - 294876*z**2 + 11221917*z - 106033776 = 0. Calculate z.\nAnswer: -2768, 113\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -72 + 71.868. What is r rounded to two decimal places?\nAnswer: -0.13","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -15*a**2 - 8. Let f(w) = 111*w**2 + 60. Let k(j) = 2*f(j) + 15*z(j). Let t(s) = -599*s + 3. What is k(t(h))?\nAnswer: -1076403*h**2 + 10782*h - 27","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (3*(sqrt(30) - sqrt(30)*-3) - sqrt(30))\/sqrt(6).\nAnswer: -5 + 11*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -111011000010010 (base 2) to base 14\nAnswer: -b030","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 18490930 to the power of 1\/2, to the nearest integer?\nAnswer: 4300","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(18) + sqrt(1152)*-5)\/(sqrt(66)\/(4*sqrt(11))))**2 + ((sqrt(486)*-2)\/(sqrt(48)\/sqrt(6) + sqrt(8)))**2.\nAnswer: 292275\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sum 24 and 12.60208001.\nAnswer: 36.60208001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -4 + 12222?\nAnswer: 1221c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = 5*u + 93. Let m(t) = -2*t - 47. Let p(a) = -7*m(a) - 4*s(a). Let r be p(-9). Calculate the highest common divisor of r and 5.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*c**3 - 2954 + 3*c**3 + 1930 + 2*c**3 - 2*c**3 as y*c**3 + t*c + q*c**2 + i and give y.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k - 4 = 7*k, 0 = 4*d - 4*k - 44. Let i(b) = -2*b + 4*b - b - 2 + 7. Is 15 a factor of i(d)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 46\/1247805 and 31\/174195.\nAnswer: 61142445","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2081025 or 2081024?\nAnswer: 2081025","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*y - 4*y - 3*y)*(0 + 1 - 4) + 2*y - y - 2*y + y - 2 + 2 + (0 - 1 - 1)*(2*y + 3*y - 3*y) + y + 0*y - 3*y.\nAnswer: 15*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -5, -3, -2, -1394 in descending order.\nAnswer: 4, -2, -3, -5, -1394","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 10 and 1695930?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand 192*d - 34*d**4 - 190*d - 22*d**4 + (5 + 2*d - 5)*(-d + d + 2*d**3) + 2*d**4 + d**3 - d**3 + 3*d**4 - 4*d**4 - 3*d**4 - d**4 + d**3 - d**3.\nAnswer: -55*d**4 + 2*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 86968511 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -68*k - 2. What is the remainder when a(-1) is divided by 23?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 30 and 560.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 86 + 1649*d + 2737*d + 2561*d.\nAnswer: 6947*d + 86","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 4, 11, 3.\nAnswer: 2, 3, 4, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*s**4 - 4*s**3 + 6*s**2 + 16*s + 8.\nAnswer: -2*(s - 2)*(s + 1)**2*(s + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) be the first derivative of -b**4\/3 - 2*b**3\/3 - 3*b - 1. Let i(t) be the first derivative of y(t). Let i(l) = 0. Calculate l.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*h**4 - 3*h**4 + 5*h**4 + (-h - 2*h + 0*h)*(8*h**2 - 8*h**2 + 6*h**3)*(-5 + 3 + 1).\nAnswer: 16*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*c = -i, 22*i + 3*c - 316 + 367 = 23*i for i.\nAnswer: 42","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 391 and 459?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 12, 15, 16, 15, 12, 7, 0?\n\"Answer: -f**2 + 6*f + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) be the second derivative of 1\/2*t**3 + 1\/12*t**4 + 4*t + 0 - 3\/2*t**2. What is the remainder when k(8) is divided by 44?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*y + 10384 = 5*y. Let j = y + -193. What are the prime factors of j?\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -16 (base 12) in base 6?\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) be the second derivative of -f**5\/20 - f**4\/2 - 4*f**3\/3 + f**2 + 2*f - 44. Give i(-4).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-10)\/s*s**15*(s\/(s*(s*s**12*s)\/s*s*s))**(5\/7))**5 assuming s is positive.\nAnswer: s**(-235\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*w + 595 - 613. Solve -5*x = -2*b - 6, 5*x = -2*b - b - w for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 23 - (0 - 3 - -9 - (93 - 92))?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -60*h - 62 = -79*h + 14 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -7059*d**2 - 1328*d**2 - 1673*d**2 to x*d**2 + v + a*d and give x.\nAnswer: -10060","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a = 7*a - 18. Suppose -s - a*l + 42 = -4*s, l + 34 = -2*s. Let y be s\/(-5)*(-10)\/(-4). Solve 3*r = 4*f + y, -r = 5*f - 3 - 6 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 311150 and 254.\nAnswer: 254","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*h - 2*a - 12377, -45*h + 4*a = -41*h - 16500. What is the tens digit of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -431*g - 2245. Give q(-5).\nAnswer: -90","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 - (5 + 3 - (0 - 0)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from tcrrr. What is prob of sequence trrc?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 5 + -2. Let u be ((-18)\/12)\/(r\/(-4)). Solve 4*a = u*a + 8 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 1190, 2380, 3570, 4760, 5950, 7140?\n\"Answer: 1190*j","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 254852 = -14276*w + 5488*w for w.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 401 + -164. List the prime factors of h.\nAnswer: 3, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-51)\/6*-19*2. Let r = m + -323. Solve -2*k + 5*k = 3*v - 6, 5*k + v + 4 = r for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -482670 + 925970. What is j rounded to the nearest one hundred thousand?\nAnswer: 400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6\/14)\/1 + 1802\/238.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-45)\/18)\/((-15)\/54))\/(1*-1)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 2651 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -d**3 - 16*d**2 - 98*d - 478. Give z(-11).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -2526 divided by 1263\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 24424 divided by -43?\nAnswer: -568","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((30600\/238)\/(-45))\/(-2*1\/7)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**5\/v)\/v**(-1\/18)*v**(-2)\/(v*v**(-1\/10)*v) assuming v is positive.\nAnswer: v**(7\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*y + 3*y + 5*n + 8, -5*y = -2*n - 28. Suppose -y*z = d - 188, -z + 3*d + 18 = -16. Is z a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*sqrt(36)\/sqrt(6))\/((sqrt(27)*3)\/sqrt(9)) + (sqrt(48)\/(sqrt(20)\/sqrt(5)))\/(-3*sqrt(150) - sqrt(150) - sqrt(150)).\nAnswer: 49*sqrt(2)\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-2)\/(-6) - (-68)\/(-6). Let w = 2 - j. Calculate the remainder when 24 is divided by w.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -16\/27 and ((-29240)\/4386)\/(2\/2*572\/(-18)).\nAnswer: 3861","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 269*f**3 - 65*f**2 - 4 wrt f.\nAnswer: 1614","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:11 PM and 3:47 PM?\nAnswer: 96","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 2078 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*f**2 + f**4 - 3*f**2 - 2*f**4 - 2*f**4 + 6*f**4 + (22*f**2 - f**3 - 22*f**2)*(5*f - 3*f - f) + 6*f**2 - 6*f**2 - 3*f**4.\nAnswer: -f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 263836 divided by 4\nAnswer: 65959","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) be the second derivative of 9*y**5\/20 + 5*y**4\/4 + 65*y**3 - y - 47. What is the second derivative of u(d) wrt d?\nAnswer: 54*d + 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((s**(-4\/3))**8)**(17\/5))**(1\/22))**(-5) assuming s is positive.\nAnswer: s**(272\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find a such that -2*a**3\/5 + 45448*a**2\/5 + 636694*a\/5 - 136428 = 0.\nAnswer: -15, 1, 22738","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1419652 and 644.\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = 12*u**2 - 10*u - 79. Does 2 divide m(-6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 times -398647\nAnswer: -797294","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -227, -2\/11, -4\/3?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = 9*n - 23 - 22*n + 14*n. Let y(v) = 11*v - 21*v + 13*v. Determine i(y(t)).\nAnswer: 3*t - 23","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -16, -0.3, 23, 0?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -u - 5. Give w(2).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -m**2 - 5*m - 2. Let w be g(-3). Let i be (w\/(-5))\/(7\/(-35)). Let k be 6401 - 2\/i*2. What is k rounded to the nearest one thousand?\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 5.198194 millennia?\nAnswer: 519.8194","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(176)*2*5.\nAnswer: 40*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 49 divide 8085?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*n**2\/7 - 5958124*n\/7 + 5958122\/7.\nAnswer: 2*(n - 2979061)*(n - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -5 - 0. Let y be 1\/3 + 1 + -1. Put -2, y, n in increasing order.\nAnswer: n, -2, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -18415 - -50755. Round f to the nearest one thousand.\nAnswer: 32000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s - 28*s = -7*s. Put -4\/5, s, 0.5, -13 in decreasing order.\nAnswer: 0.5, s, -4\/5, -13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -971\/3 - -28093\/87. Which is smaller: n or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1215 - -1214. Let r = 414685\/147 - 2821. Let a = r + -15\/98. What is the nearest to j in 1\/6, 0, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -103\/199680 and -107\/260?\nAnswer: 199680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:43 PM and 1:23 AM?\nAnswer: 520","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -44 + 13?\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -122333131 (base 4) to base 15\nAnswer: -22b57","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 39 and 465?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -55 + (18 + -30 - (11 + -21))?\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 6154254823 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 4\/3 of a day?\nAnswer: 1920","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = 1. Let w(i) be the first derivative of -3 - i - i**2 - 7\/3*i**3. Let c be w(-1). Let m(d) = -d + 2. Determine c*g(q) + 3*m(q).\nAnswer: -3*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.02053 rounded to 3 dps?\nAnswer: -0.021","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 < 692\/35?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26*f + 23*f = 81. Let x = f + 29. Solve v + 2 + x = 0 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 0.55766 millennia?\nAnswer: 55.766","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2 - 5) + 0 + 7.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -8*s**4*u**3 + 23*s**4 - 2*s**3 + 216*s**2*u**2 - u**3 wrt s.\nAnswer: -192*s*u**3 + 552*s - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -1a35d1 (base 15) in base 10?\nAnswer: -1277071","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 - -119546.41379465.\nAnswer: 119548.41379465","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j + k = 4*k - 24, -17 = -4*j - k. Suppose -1 = 5*b - v - 38, -b + 14 = 2*v. What is the remainder when b is divided by j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in 151, 1713, 0.2, 4?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1339*v - 17847 = 112036 for v.\nAnswer: -97","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-56)\/49*-7)\/((-1)\/4)?\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2621*q**2 - 2633*q**2 + 10438*q**2 - 2636*q**2 - 2639*q**2.\nAnswer: -91*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -17*w**2 - 378*w + 13699. Give g(19).\nAnswer: 380","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:05 AM and 9:45 AM?\nAnswer: 160","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 195 and 117.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 3387655 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = v**3 + 12*v**2 + 19*v - 10. Let i be u(-10). Put -6, i, 14 in descending order.\nAnswer: 14, i, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 125 - 89. Suppose 0 = -5*k + y + 14. Is k composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 50ae - cb?\nAnswer: 4fe3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pbbbpbpbpppbnppnp. What is prob of sequence pn?\nAnswer: 9\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = 25*v - 33. Let i be f(2). Let j = -12 - -29. Calculate the highest common divisor of i and j.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 12 and 16?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tvv when three letters picked without replacement from {v: 2, t: 8}.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ou when two letters picked without replacement from oocoodcufcccdiuoo.\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 15\/4 of a milligram in micrograms?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.04 in 2\/59, 0.3, 2\/15, -9.1, 0.1?\nAnswer: 2\/59","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 252 minutes after 1:22 PM?\nAnswer: 5:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7 + -7 - (-2 + 15 - 10).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 3 - 150?\nAnswer: -146","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = v**2 + v - 4. Calculate p(3).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*o - 3072 = -7*o. Let i be o\/224*7\/3. Solve -4*z + i*n = z + 29, 18 = -4*z - n for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 7646, 15107, 22198, 28733, 34526, 39391, 43142, 45593?\n\"Answer: -31*a**3 + a**2 + 7675*a + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nss when three letters picked without replacement from {s: 9, i: 4, d: 2, p: 1, n: 3}?\nAnswer: 12\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -2*h - 3. Let f(m) = -11*m**3 - m + 4. Is 29 a factor of f(h)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 856 divide 913076368?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1882 + 466 = -4*r + 4*s, 0 = -4*r - 4*s + 1392. Let z = -199 + r. What are the prime factors of z?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0 + -1. Let q = -2.95 - -3. Let b = q - 5.05. Is h at most as big as b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.017613? (a) -4\/7 (b) -1 (c) -0.1 (d) -0.3 (e) 2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -124 = -7*v - 26. Suppose 17*c - v*c = 1707. List the prime factors of c.\nAnswer: 569","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 427*x + 1787709 = 10680411. What is the units digit of x?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 0 + (0 - 0) - -1. Let q = -1 + u. Suppose -2*c = -q*j + j + 4, -j = 3*c + 9. List the prime factors of j.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + (sqrt(1700) - (sqrt(1700) + -2)))**2*2 + -5.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -47*w**3 - 25*w**3 - 35*w**3 + 111*w**3.\nAnswer: 4*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -1363514.1 to the nearest 10000.\nAnswer: -1360000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -y + 5. Let a be g(3). Suppose m - a = 1. What is the highest common divisor of 1 and m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 203 - 219 - (-20 - 1).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*i = 52 + 32 + 11 - 4 for i.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 87450 is divided by 21859.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 622 + -442. What is the remainder when y\/(-120)*((-294)\/2 + -1) is divided by 45?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1, -0.05, 0.3, 0.1?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q\/q**2)\/q*q*q**(-6\/5))\/(q\/(q\/(q**3\/q))*q**(-7))*(q*q*q*q\/q**(2\/3))**(-4\/17)\/(q**5*(q**(3\/7)*q)\/q) assuming q is positive.\nAnswer: q**(-6092\/1785)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 1 = 53.5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -3, -3917, -5 in increasing order.\nAnswer: -3917, -5, -3, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = 3*v**2 - 99*v - 522. Let p be t(-5). Solve 39*d = p*d - 36 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:11 AM and 5:01 PM?\nAnswer: 530","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y*y**0*y)\/y**(2\/13))\/(y**(2\/23)\/y*y**7) assuming y is positive.\nAnswer: y**(-1268\/299)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*z + z - 12 = 0, 5*y - 11 = -2*z for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -2*t**2 + 1. Let a(j) = 2*j**3 + 406*j**2 - 525*j - 2. Let h(z) = -a(z) - 2*k(z). Find the second derivative of h(p) wrt p.\nAnswer: -12*p - 804","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 40362 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/1313, 0.2, -0.5 in descending order.\nAnswer: 0.2, 2\/1313, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w + 0 - 3 = 0, -4*f = -2*w - 10. Suppose -f*q = -0*q - 16. Solve 0 = q*n - 0*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k = 4*y + 24, 3*y + 24 = 9. Find the third derivative of c**4 + c**k + c**4 + 5*c**2 wrt c.\nAnswer: 72*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.12 - 0.14. Let d = -15.02 - m. Let u = 14.99999967 + d. What is u rounded to seven dps?\nAnswer: -0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -10, -0.3, -0.2504?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y\/y**8)\/y*y*y*y**10*(y**0\/y)**(-1\/2) assuming y is positive.\nAnswer: y**(9\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 73aa - -34553?\nAnswer: 40952","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*p + 5*p + 2*c = -0*p + 100, -c = -5*p + 232 for p.\nAnswer: 47","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s**(6\/5)*s*s**(12\/11) assuming s is positive.\nAnswer: s**(181\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (1 - 2)\/(1 - 0). Let r = -40 + 37. Let h be u\/(-1*r\/(-6)). Solve -q - q + h = 0 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5 + -1 + -47 + 58\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(-3 + (3*-4*sqrt(66))\/sqrt(6)*-1)*2.\nAnswer: -72*sqrt(11) + 18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 154 and 352?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1\/8*k**3 - 75 + 61\/8*k**2 - 1\/8*k**4 + 35\/8*k = 0. Calculate k.\nAnswer: -5, 3, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 620473?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 13518 and 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) be the first derivative of -2*u**3\/3 - 9. Let g(f) = -18*f**2. Calculate j(g(k)).\nAnswer: -648*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 698250 and 8575.\nAnswer: 4887750","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 850033388?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1150 is divided by 6.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -95, -409, -947, -1715, -2719?\n\"Answer: -k**3 - 106*k**2 + 11*k + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 523128449 to the nearest integer?\nAnswer: 806","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 9, z: 3}. Give prob of sequence czcc.\nAnswer: 7\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a litre in millilitres?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -125990 + 2*g**3 + 125634 - 25*g + 9*g**2 + 25*g to the form r*g**2 + s*g**3 + n + j*g and give r.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 5403.013 hours in microseconds?\nAnswer: 19450846800000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8*t - 2*t**4 - 8*t)*(7 + 1 + 0).\nAnswer: -16*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -14*v + 14. Let q(z) = -140*z - 151 + 131*z + 160. Determine -8*q(l) + 5*u(l).\nAnswer: 2*l - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10\/((-20)\/10)*10\/575.\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = 25*t + 24. Suppose -5 = -56*u + 61*u. Let c be n(u). What is the closest to c in -0.1, 2, 8?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j + 3*d - 44 = -d, -2*j - d + 29 = 0. Let i be (5 - -1)*(18\/12 + -2). Let m = 11 + i. What is the smallest common multiple of m and j?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -562784*f**4 - 604*f**2 - 290?\nAnswer: -13506816*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((r**(-2\/11)\/r)\/r)**(28\/9)*r**(-43)*r*r\/(r*r**(11\/5)))**(-15) assuming r is positive.\nAnswer: r**(8413\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -562 + 0*n**2 + 6*n**2 - 310 - 4*n**3 - 3*n**2.\nAnswer: -4*n**3 + 3*n**2 - 872","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qlqlqqllqllqlllqqqqq. Give prob of picking 2 l.\nAnswer: 18\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0 - -1. Let x be (-10)\/78*-3*14\/35. Which is smaller: x or o?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -22*o - 204. Let t be v(-27). Let w = t + -389. What is the greatest common factor of 23 and w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 183\/7 + -177\/7. What is the nearest to -0.2 in -0.1, -2, t?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 8740?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*w = 3*w - 3. Let x = -16 + 10. Let a be w*3\/x*-376. Round a to the nearest ten.\nAnswer: 190","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor k**2\/4 + 1967*k\/4.\nAnswer: k*(k + 1967)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 177*p + 5*p = 0 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 - (-3 - (6 - 4)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -38*r**3 + 4*r**2 - 2*r - 14. What are the prime factors of y(-4)?\nAnswer: 2, 3, 5, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-8)\/5 + 2 + 6\/10?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.67732 rounded to 3 decimal places?\nAnswer: -2.677","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r + 4*h + 76 = 0, 5*h + 35 = r - 4. What is the remainder when 69 is divided by 4\/r - 960\/(-70)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 24 and 234.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) be the third derivative of -g**4\/8 + 2*g**3\/3 + 2*g**2 + 50. Let a(c) = 2*c - 5. Let j = -12 + 16. What is j*k(w) + 3*a(w)?\nAnswer: -6*w + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(-2*sqrt(108)*-5 - (sqrt(108) + sqrt(108) + sqrt(108)*-2*-6 + sqrt(108))))**2 - ((3 + sqrt(108))*5 - -6*sqrt(108)*-1)**2.\nAnswer: 180*sqrt(3) + 42867","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = i**3 + i + 1. Give j(2).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rrrmmrrmrmrmrrmmrmm. Give prob of picking 2 m.\nAnswer: 4\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1026 and 48?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.3047653 decades to centuries.\nAnswer: 0.03047653","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 847124?\nAnswer: 2, 211781","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) be the third derivative of -13\/3*j**3 + 0 - 21*j**2 + 1\/12*j**4 + 3*j. Determine r(15).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 5.595 + 0.005. Let j = t + -0.6. Let y = -152\/7 - -22. Put -4, j, y in ascending order.\nAnswer: -4, y, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -10*j - 53 - 27. Let o be 14\/j + 8\/(-30 + -2). Sort o, 13, 1 in descending order.\nAnswer: 13, 1, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 985 is divided by 140?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x + 1275 = 3*c + 2*x, 4*x = c - 408. Is 6 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/5 in 3\/4, 3\/2, -1\/6, -0.8?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ppmpmmm. What is prob of sequence mmm?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 58627305 and 153?\nAnswer: 153","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 13, -2170, -40, 5 in descending order.\nAnswer: 13, 5, -40, -2170","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 2 and 27.21?\nAnswer: 54.42","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -191003 or -190993?\nAnswer: -191003","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -1146 divided by -2\nAnswer: 573","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 14053 - -7049. Is a a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -409620, -409477, -409236, -408897, -408460, -407925, -407292?\n\"Answer: 49*l**2 - 4*l - 409665","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -4\/117 and -73\/13923.\nAnswer: 13923","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) be the first derivative of r**3\/3 - 3*r**2 + 21*r - 81. Calculate the remainder when i(9) is divided by 25.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 436*h - 432*h = 3*a + 51, 3*a + 21 = 2*h. Suppose -2*c = -3*c + 42. What is the remainder when c is divided by h?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:03 PM and 11:39 PM?\nAnswer: 576","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 430 minutes after 10:30 PM?\nAnswer: 5:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z - 7 = -3*z. Let u = -8 - z. What is the units digit of (u\/(-4))\/((-2)\/(-8))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -5 - -9. Let y = -3 + m. Let v = y + -1.3. What is v rounded to 1 decimal place?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -26656, 1, 5, 496, -2 in decreasing order.\nAnswer: 496, 5, 1, -2, -26656","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x, 1 n, and 1 v when three letters picked without replacement from {q: 9, a: 3, v: 1, n: 3, l: 1, x: 1}.\nAnswer: 1\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*j - 523 = -537. What is the fourth smallest value in 4, -3\/7, -5\/4, j?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*s - f + 216, 0 = 4*s - 11*f + 16*f - 288. Calculate the highest common factor of 15 and s.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/((-3)\/63*-7)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 23321220 - -3?\nAnswer: 23321223","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 21c9 (base 14) in base 7?\nAnswer: 23042","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -24722*p**2 + 575*p - 12?\nAnswer: -49444","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20232 + 13818 = 2221*q + 14159 - 13424 for q.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find n, given that 9*n**5\/7 - 372*n**4\/7 + 3456*n**3\/7 - 8016*n**2\/7 - 13968*n\/7 + 38016\/7 = 0.\nAnswer: -2, 2, 6, 88\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -117, -282, -491, -732, -993, -1262, -1527?\nAnswer: -1776","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + (5 + -9 - -14).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v - 84 = 2*v. Let r be v + (-2)\/(-3)*3. Let a(m) = 4*m - 21. Let q be a(8). Calculate the greatest common factor of q and r.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -29.99 - 1.81. Let g = h + 27.8. Which is the fourth biggest value? (a) 2\/11 (b) g (c) -1\/4 (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/8271 smaller than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1766725.\nAnswer: 5, 17, 4157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**17*w**(11\/5)\/w)**38)**(-25) assuming w is positive.\nAnswer: w**(-17290)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand 25*h**3 + 19*h - 19*h + (4*h**2 - 3*h**2 + h**2)*(-h - h - 5*h) - h**3 - 1 + 1.\nAnswer: 10*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c - 4*c + 90 = 0. Suppose -j + 12 = -5*d - c, -2*d = -3*j + 16. Let u = -3 - -4. Solve -j*s + u = 5 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in eight fifteenths of a minute?\nAnswer: 32","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (28\/(-6) + 2)*(-315)\/14. What is the highest common factor of 24 and k?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 1, k: 1, v: 1, u: 1, w: 1}. What is prob of picking 1 h, 1 k, and 1 u?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 4\/((-32)\/(-56)) + 13385. Suppose -5*z - r = -32*z. What is the units digit of z?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + -3 - (2 - 4 - 3).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 62 is divided by 11.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 173.12, 1\/2, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*k**2 + k**2 - k**2)*(1 + 0 + 2) - 1 + k**2 + 1 + 7*k**2 + 0*k**2 + 3*k**2.\nAnswer: 17*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express -f + 3*f - 7 + 92 + 41 in the form c*f + n and give n.\nAnswer: 126","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-522)\/145)\/(-1*2\/5). Solve -4*c - 13 = -n for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.06842*0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = 12*g**2 - 49 + g**2 + 1865*g**3 - 1864*g**3 + 30*g. Let b(s) = -5*s. Let z(m) = -5*b(m) + 5*k(m). Determine y so that z(y) = 0.\nAnswer: -7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1533.\nAnswer: 3, 7, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = h + 11. Let c = h - -12. Solve c = -2*s - 2 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -338 - 2*z**2 + 167 + 5*z**2 + 156 - 12*z = 0. What is z?\nAnswer: -1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -25, -226, -4?\nAnswer: -226","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = 2*b**2 + 3. Let j be 3 - 1\/(-2)*-2. Let w(y) = 6*y - j*y + 0*y - 2*y. What is a(w(i))?\nAnswer: 8*i**2 + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -2*b - 330. What is r(-28)?\nAnswer: -274","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*n**4 - 7*n**3*p + 2*n**2*p + 9*n*p - 5*p wrt n?\nAnswer: -24*n**2 - 42*n*p + 4*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) be the third derivative of 1\/120*p**5 + 0 + 1\/48*p**4 - 1\/240*p**6 - p**2 + 0*p - 1\/12*p**3. Solve q(w) = 0 for w.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**1\/x)**(8\/11)\/(x*x**(-4)*x*x**(4\/5)))**(1\/6) assuming x is positive.\nAnswer: x**(1\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 11*r - 31 + 19 - 7*r**2 + 15 to the form s*r**2 + v + q*r and give s.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 28\/(-10)*((-42)\/12)\/(-7). Is l not equal to -3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*h**2 + 2*h**2 - 3*h**2 + (3 - 4 + 3)*(-4*h**2 - 8*h**2 + 4*h**2) - 2*h**2 + 4 - 4 to the form s*h**2 + j*h + l and give s.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 q and 2 z when four letters picked without replacement from {q: 11, s: 1, v: 5, z: 3}?\nAnswer: 11\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -158505450 divided by -621590?\nAnswer: 255","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*f = -16, 8*n + 2*f = 7*n + 6 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2545758 and 7284.\nAnswer: 5091516","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 24222449729 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 6665 and 248540.\nAnswer: 215","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 60\/(-240) + (-15)\/(-48)*-2*(-1)\/3?\nAnswer: -1\/24","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 36 = 4*g - 2*z, -4*g + 2*z - 41 = -7*g. What is the lowest common multiple of (-5)\/(10\/(-6)) + (54 - 1) and g?\nAnswer: 616","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 108 - -2174?\nAnswer: 2280","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g + 4*l = 0, -13 = -5*g + 4*l + 23. Let z be 12\/8*(-2)\/3. Let o be (-2)\/g*12*z. Solve -3*d = 2*x - 2, 2*d - 2*x - o = 2 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1 - 3. Let l = w - -2. Suppose 2*i + 4*h - 74 = -l*i, 4*h = 4*i - 112. Is i prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(567) + (sqrt(567) + -2 + sqrt(567) + sqrt(567) + -4 - sqrt(567)))*4 + (-6*sqrt(168))\/(sqrt(30)\/(sqrt(20)\/sqrt(4))).\nAnswer: -24 + 96*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 23843 to the power of 1\/3, to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y + 45 = 5*x, -41 = -0*x - 2*x + 5*y. Suppose 6*s = x*s - 8. Solve q - s = -6 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 269a6 + 0?\nAnswer: 269a6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r - 17 + 33 = 0. Suppose -6*v = r*v - 30. Which is the biggest value? (a) 0 (b) -2\/5 (c) v (d) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Put 0, 0.3, 5\/6, -396 in ascending order.\nAnswer: -396, 0, 0.3, 5\/6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-9)\/(-12)*-2*-2. Suppose -b*c = c + 8. Is (-1)\/((-3)\/(41 + c)) a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 97150 and 4350?\nAnswer: 1450","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -4 + (-128)\/(-28) - (-330)\/35. Solve -u*y + 9 = -13*y for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-27 - 4) + -21 + 24 + -8?\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = 4*q**2 + 3*q - 3*q**2 + 2 + 2*q. Let z be s(-3). Let m = z - -7. Solve c = -m*c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(700) - (sqrt(700)*-1 + sqrt(700)))\/(sqrt(324) - (sqrt(324) + sqrt(324) + (sqrt(324) - (sqrt(324) - (sqrt(324)*1 + sqrt(324)) - sqrt(324))))).\nAnswer: -5*sqrt(7)\/36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (g - 3*g + 3*g)*(-g**3 - 33*g**2 - 2*g**3 + 5*g**3) to v*g**2 + f*g**4 + s*g + o + k*g**3 and give f.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 642, 622, 600, 576, 550, 522?\n\"Answer: -d**2 - 17*d + 660","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4529.557 millilitres to litres.\nAnswer: 4.529557","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = 18*s - 124. What is m(9)?\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = 477*r + 484*r + 477*r + 6*r**2 - 2390*r + 478*r + 4 + 478*r. Let c(w) = w**2 + 4*w - 1. Let q be c(-4). What is g(q)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 41*v = -7*v - 96 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 34\/5 of a meter in centimeters?\nAnswer: 680","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -14*i. Let g(o) = 191089*o. Determine z(g(f)).\nAnswer: -2675246*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((2*sqrt(187)*-6 - sqrt(187)) + sqrt(187) + sqrt(187))\/(-1*sqrt(11)*2) - (1*(0 + sqrt(17)) - (1*sqrt(51))\/sqrt(3))*4)**2.\nAnswer: 2057\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 619708687 to the nearest integer?\nAnswer: 853","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + 5*-6*(-2*(sqrt(153) + (sqrt(153) - -6*(sqrt(153) - (sqrt(153)*2 - sqrt(153))))))\/(sqrt(108)\/(sqrt(72)\/(sqrt(6)*-3 + sqrt(6)))).\nAnswer: -60*sqrt(17) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 227944319 - -0.5.\nAnswer: 227944319.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 1550563 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 7 (base 8) to base 14\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -51\/5681 and -14\/5?\nAnswer: 28405","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 117597741071 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 70707.1 centuries in months?\nAnswer: 84848520","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 27 smaller than 64129.36?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 62*n - 187*n + 61*n + 62*n.\nAnswer: -2*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -20021 + 12?\nAnswer: -20002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -j**3 + j**2 + 0 - 1 + 3 + 3*j. Suppose -4*w - 2*p = -36, -p + 25 = 3*w - 0*p. Let z = w + -4. What is g(z)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 394 minutes after 2:58 PM?\nAnswer: 9:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -19.6 and 17?\nAnswer: -333.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9*(8\/(-9))\/(-2).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (5\/25*-4)\/((-1)\/(-5)). Let l(n) = -n**3 - 25*n**2 + 24*n - 55. Let o be l(-26). Sort o, 4, c in ascending order.\nAnswer: c, o, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 406 minutes before 4:13 PM?\nAnswer: 9:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 102571 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) be the third derivative of v**5\/20 - 169*v**4\/4 + 28561*v**3\/2 + 8*v**2 - 45. Factor d(b).\nAnswer: 3*(b - 169)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -370 + 374. Suppose 0*v - 2*v - 10 = -g, d*g + v = 4. Let c(u) = -26*u. What is the smallest common multiple of g and c(-1)?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = 657*b**2 - 2*b - 558. Is a(-26) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 + -6816484266691.\nAnswer: -6816484266695","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f**(-3\/8)\/(f**7\/f)*f**(5\/4)*f\/(f*f\/(f*f\/(f*f**(-8))))*(f*(f**(1\/5)\/f)\/f)**(3\/19)*(f*(f\/((f\/(f\/f**8))\/f))\/f)\/f**(-4) assuming f is positive.\nAnswer: f**(569\/760)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 2.4719485 from 0.5.\nAnswer: -1.9719485","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 19\/45 and -69\/2.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 3, m: 2, y: 2, r: 6}. What is prob of sequence vm?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 4978228 a multiple of 1178?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 89729 to the power of 1\/2, to the nearest integer?\nAnswer: 300","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 9\/15 - (-24)\/10 a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:09 PM and 5:04 AM?\nAnswer: 655","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -75 - 19*r + 75.\nAnswer: -19*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 37675.4ml to litres.\nAnswer: 37.6754","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: Let c = -122\/3 + 41. Let k be -3 + (-1 - 0)*-2. Let t be (1\/3)\/(k\/(-3)). Is t at most as big as c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (125\/(-50))\/((-5)\/3).\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -424 minus 0.479088446516?\nAnswer: -424.479088446516","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 285850 and 2800?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 12312 divided by 24\nAnswer: 513","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = 2*a + 8. Let f be i(-3). Solve f*b + b = -3 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c - 4 = 8. Let q be (8\/6)\/(1\/c). Let z be q\/6 - 115\/(-15). What is the highest common factor of z and 28?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: (114\/9)\/((780\/(-18))\/10 - -5)\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -1 + 4*u + 25*u**2 - 26*u**2 + 4*u. What is the remainder when 31 is divided by v(6)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1732 + 3323\/2. Let w = -225\/4 - k. Put -1\/3, -0.4, w in descending order.\nAnswer: w, -1\/3, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) be the third derivative of 1\/1080*t**6 + 0 + 1\/18*t**4 + 0*t - 1\/72*t**5 + 7*t**2 - 11\/6*t**3. Let s(v) be the first derivative of h(v). Factor s(g).\nAnswer: (g - 4)*(g - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3 - 5 - (3 + -1)) + 0 - 2.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 413.8 + -414. Sort 0, f, 3\/11.\nAnswer: f, 0, 3\/11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 4, -68, 2\/9, -8, -5?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f**2 + 20\/3*f - 4*f**3 + 0 + 2\/3*f**4 = 0. Calculate f.\nAnswer: -1, 0, 2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 980 by 14.\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = x**3 - 43*x**2 + 4*x - 42. Is p(43) a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = t**3 + 50*t**2 - 53*t - 104. Let g be s(-51). Sort 4, g, 1, -12 in ascending order.\nAnswer: -12, g, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-30 - -24) + (6 - 0). Suppose 3*g = 4*o - 142, -2*g + 32 = o - g. Let d be 2 - 8\/o*9. What is the closest to w in -0.2, 2, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -y**2 + 5*y + 5. Let s be r(5). Let u = 8 - s. Suppose -u*f + 5 = 2*h, -50 = -4*f - f + 5*h. Solve f*n - 5*i = 35, -n = -0*n - 5*i - 27 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) be the third derivative of 3*k**2 + 0 + 0*k + 1\/20*k**4 + 1\/10*k**3 + 1\/100*k**5. Factor s(o).\nAnswer: 3*(o + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -397079*o**4 + o**3 - o - 40 wrt o.\nAnswer: -4764948*o**2 + 6*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 513 divide 339895?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -67 - -69. Solve -20 = -t*d + 5*a, d + 2*a = 4*d - 8 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -c = -3*t + 20, -2*c + 49 = -t + 64 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 2, 15, 50, 119, 234?\n\"Answer: 2*p**3 - p**2 + 2*p - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -219 + 222. Suppose 0 = b*l + 2*v - v + 9, 3*l + 9 = -3*v. Which is bigger: -15\/4 or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 not equal to 732\/281?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1856 + -1248. Is 15 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 456 minutes after 7:59 AM?\nAnswer: 3:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 less than -5\/3878416?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 59830582*m + 158697549 wrt m?\nAnswer: 59830582","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -u + 1. Let n(w) = 4*w + 1. What is 5*g(t) + n(t)?\nAnswer: -t + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is ((106\/(-689))\/((-1)\/13))\/(16\/24)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17 = r + d, -r + 21 = -0*r - 3*d. Let y(g) = -1973*g + 5922. Calculate the least common multiple of r and y(3).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -80, -67, -32, 37, 152, 325, 568, 893?\nAnswer: 1312","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 4189124883?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -6 + -12766?\nAnswer: -12774","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -6*z**4 + 7429*z**3 + 22*z**2 - 103*z + 92053 wrt z.\nAnswer: -72*z**2 + 44574*z + 44","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1842*l - 624 = -1846*l. What is the highest common divisor of l and 1508?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or -1234516395?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-3)\/27)\/((-1204)\/(-774))?\nAnswer: -1\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -783*b + 782*b - 2 + 2. Let p(j) = 245*j. Determine p(a(c)).\nAnswer: -245*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f\/f**(4\/7))**(1\/6)\/((f**(-29)\/f*f)\/(f*f**(-26)*f)) assuming f is positive.\nAnswer: f**(71\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 42974623 to the nearest integer?\nAnswer: 6556","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10060 is divided by 1999.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 271b67 (base 14) to base 15\nAnswer: 1b9d01","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -4412*d**2 - 4*d. Let t(z) = -3*z. Give q(t(v)).\nAnswer: -39708*v**2 + 12*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 2, j: 1, k: 3, p: 1, f: 11}. Give prob of picking 1 p, 1 l, and 1 j.\nAnswer: 1\/408","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-3)\/15 - 1)*-5. Let j = -7 + c. Put -3, j, -4 in ascending order.\nAnswer: -4, -3, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -596.7 - -596. Sort -2, 3, 4, j.\nAnswer: -2, j, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 65.89642 rounded to two dps?\nAnswer: 65.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 496 minutes after 12:39 PM?\nAnswer: 8:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -1, 3455, -0.3, 0.5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/3 in 1890\/13, -99, -0.08?\nAnswer: -0.08","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -8 + 5*b + 10 + 0*b - 24*b**2 + 4*b**3 + 3 + 8. Let m(j) = j**3 + j**2 - j - 3. Let z(i) = -5*a(i) + 5*m(i). Suppose z(t) = 0. What is t?\nAnswer: -2\/3, 1, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_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: Put 1\/11, 0, -1.2, -0.2, 1\/3 in decreasing order.\nAnswer: 1\/3, 1\/11, 0, -0.2, -1.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 1, p: 1, s: 4, m: 2, x: 3}. Give prob of picking 2 m.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 302348?\nAnswer: 2, 131, 577","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.3932178 centuries to millennia.\nAnswer: 0.03932178","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 150342, 300498, 450654, 600810, 750966, 901122?\n\"Answer: 150156*l + 186","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = k**4 + k**3 + 6*k. Let w(l) = -8*l**4 + 22*l**3 + 505*l**2 - 1083*l + 540. Let t(o) = -3*g(o) - w(o). Factor t(s).\nAnswer: 5*(s - 12)*(s - 1)**2*(s + 9)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 666412?\nAnswer: 2, 166603","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*x - 0 + 4. Suppose 2 = 3*j + 5*n - 9, x*n + 4 = 3*j. Let a be (1 + 0)*(0 - -3). Is j less than a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -237 divided by 19.\nAnswer: -237\/19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 s when two letters picked without replacement from ssaasas?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j - 75 = 143. Let d = 217\/2 - j. Let l = -1.3 - -0.3. What is the fourth smallest value in -2, l, 0.2, d?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ooa when three letters picked without replacement from aoaoo?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3 - -19. What is the greatest common factor of 22 and r?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -345833, -691668, -1037503, -1383338, -1729173?\n\"Answer: -345835*g + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 25 + -f?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 36*z**3 + 7*z**2 + 392?\nAnswer: 108*z**2 + 14*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1\/20 (b) 2\/5 (c) -100 (d) 3\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 96024 to the nearest integer?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*z - 9*z + 5 = 0, 51 = -g - 3*z. Let l = -71\/2 - g. Factor 1\/2*w**4 + w + 0*w**2 - w**3 - l.\nAnswer: (w - 1)**3*(w + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -128 = -131*u + 163*u for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 5174*d**2 + 3965*d**2 - 5187 + 404*d**2 - 4284 with respect to d.\nAnswer: 19086*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 3, z: 2, l: 3}. What is prob of sequence mzzm?\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 15 + -14. Suppose 49 = 5*b - x. Suppose 3*k - b = 2. Solve k*c + 7 = -5, 6 = 4*a - 2*c for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1201123 - 1?\nAnswer: -1201130","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1523 - 1093. Which is the second smallest value? (a) 5 (b) -4 (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-11*t + 2*t + 0*t)*(-3*t + t + 3*t)*(-26 + 3 - 4).\nAnswer: 243*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -1353762*q. Let w(b) = -b + 2. Determine w(z(v)).\nAnswer: 1353762*v + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find t such that t**3\/8 + 55*t**2\/8 + 783*t\/8 + 729\/8 = 0.\nAnswer: -27, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 40851603?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 1, p: 1, q: 1, x: 2, j: 1, c: 1}. Give prob of picking 1 c, 1 x, and 1 q.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = 110001*m**3 + 2*m**2 + 2*m + 1. Let y(q) = q**2 + 4*q + 3. Let s be y(-2). Let i be t(s). Round i to the nearest 100000.\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*h = -27*h. Solve -4*c + 4 + 12 = h for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (4*k**3 + 8*k**3 - 4*k**3 - 1)*(3*k + 2*k - k + 8)*(21 - 15 - 13) in the form m*k**4 + j + c*k**3 + o*k**2 + g*k and give o.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20 = -5*q - 5*s, 7*q - 3*s = 3*q + 2 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find k such that -5*k**2 + 594280*k - 17658435920 = 0.\nAnswer: 59428","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 30926034 and 17670.\nAnswer: 3534","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7ba39 (base 13) to base 12.\nAnswer: aa834","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r + 55 = 2*r. Let y = -352 - -393. Calculate the remainder when y is divided by r.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -3276, -13496, -30520, -54342, -84956?\n\"Answer: i**3 - 3408*i**2 - 3*i + 134","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -7.67 times -2028.9?\nAnswer: 15561.663","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/4 of a year in months?\nAnswer: 15","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = x**2 + 402 - 197 - 169 - 7*x. Calculate the lowest common multiple of j(8) and 36.\nAnswer: 396","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 884?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) be the third derivative of 2693*i**8\/336 - i**5\/30 - 287*i**4\/8 + 5*i**2 - 3*i. What is the third derivative of x(k) wrt k?\nAnswer: 161580*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 4716563*l**3*s**3 - 2*l**3*s + 4*l**3 + l**2*s - 3026793*l**2 - 27*l*s**3 wrt s?\nAnswer: 28299378*l**3*s - 162*l*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 70289 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 81\/16 and -13\/7002.\nAnswer: 56016","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 27\/(5 - 2) + (42 - 34).\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v + 91*y + 143 = 94*y, 3*v - 86 = -2*y. Solve -16*h = -v*h - 48 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 26 (b) -4\/15 (c) 2740\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9389 is divided by 89.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = 2*q + 8. Suppose 5*x - x + 33 = 3*c, -c - 3 = x. Calculate w(x).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -49, -83, -187, -397, -749?\n\"Answer: -6*t**3 + t**2 + 5*t - 49","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 69.2915 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 185645767 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in seven halves of a millennium?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = 8*u**3 - 159*u**2 + 840*u - 1568. Let n(j) = -20*j**3 + 396*j**2 - 2100*j + 3920. Let s(o) = -5*n(o) - 12*x(o). Solve s(i) = 0 for i.\nAnswer: 4, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -1672 and -0.16.\nAnswer: -1672.16","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Are 485088 and 485087 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 20, 40, 72, 116, 172, 240?\nAnswer: 320","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(3025)*-2)\/(sqrt(5) - (sqrt(80) + sqrt(5))*2) - (-5 + sqrt(80) + 1*sqrt(80) + sqrt(80) + 3)**2.\nAnswer: -724 + 454*sqrt(5)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/30 + (-25)\/(-250))*1.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q - 4*s - 42 = 0, -2*q - 3*s - 26 = -40. Calculate the remainder when 813 is divided by q.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -20*h + 2. Let n(v) = 7*v - 1. Let o(f) = 14*n(f) + 5*q(f). Let g be o(-4). Let c = 32 + -34. What is the closest to -1 in c, -0.3, g?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -4825, -9676, -14553, -19450, -24361, -29280, -34201, -39118?\n\"Answer: c**3 - 19*c**2 - 4801*c - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.34 - -0.3. Let m = -94 + 75. Let f = m + 24. Which is the second biggest value? (a) f (b) y (c) -3\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3\/5*o**3 + 3\/5*o - 54\/5 + 54\/5*o**2.\nAnswer: -3*(o - 18)*(o - 1)*(o + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -24691878, -49383759, -74075640, -98767521?\n\"Answer: -24691881*u + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g + 69 = 5*c, -3*g - 10 = -1. Let x = c - -6. Calculate the remainder when 71 is divided by x.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5\/(-1)*20\/20*(7 - 2907\/415)\nAnswer: 2\/83","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 16375 is divided by 10.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-14*9\/63)\/(26\/1937)?\nAnswer: -149","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 3.2514 - 3.1414. Do -26\/25 and a have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -5*v + 5. What is the units digit of n(-7)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 159*h**4 + 4*h**3 - 145*h**2 + 3.\nAnswer: 3816*h + 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + (-184)\/32 + 9\/12.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2416320?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 5957784 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 3911 to the power of 1\/3, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -366, -229, 4, -4 in decreasing order.\nAnswer: 4, -4, -229, -366","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 101794160.\nAnswer: 2, 5, 13, 97879","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -y**3 - 6*y**2 - 7*y - 8. Let o be d(-4). Does 2 divide (124\/12)\/((-4)\/o)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -39*c - 28*c = -24*c - 215 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express -29*n + 2*n**2 - 2*n**3 + 8 + 68*n - 41*n as z + d*n**2 + h*n + v*n**3 and give h.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 560284 to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -179439.3315 to the nearest 10000.\nAnswer: -180000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -1001021100 (base 3) in base 6?\nAnswer: -235230","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 273, 1129, 2559, 4563, 7141?\n\"Answer: 287*l**2 - 5*l - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 329128?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(20)\/(4*sqrt(4)*-2 - sqrt(4) - sqrt(4)) - (1 + (4*sqrt(15))\/sqrt(3)).\nAnswer: -41*sqrt(5)\/10 - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1143674?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 29562*y - 182442.\nAnswer: 29562","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -67*m - 20*m + 87 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 1, x: 1, u: 2, w: 12, n: 2}. Give prob of sequence wwu.\nAnswer: 11\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) be the second derivative of -7*w**6\/30 - w**4\/6 - 3*w. What is the third derivative of g(i) wrt i?\nAnswer: -168*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1\/3*-2*(-9150)\/20 is divided by (-34)\/((-4)\/(-3) - 2).\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-140)\/1)\/(-1 - (1 - 0)). Suppose -l = -2*p + 1684. Is p a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7668\/1278 - (-7)\/((-3 + 0)\/15).\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let 1\/2*k + 1\/2*k**2 - 1 = 0. Calculate k.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + -6 - (-8 + -1 + 4).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3*-1*176\/(-12) is divided by 15.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 163153 is divided by 335?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 18 - 19. Let j = -192 + 1726\/9. Which is the third biggest value? (a) j (b) -0.3 (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 97332696 to the power of 1\/3, to the nearest integer?\nAnswer: 460","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t + 3*m - 15 = 46, -5*t = m - 185. Suppose 2*c = 5*l + 165, -11 = -4*l + 9. What is the highest common factor of c and t?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = 2*p + 2. Suppose 6*v + 5*v + 44 = 0. Let j(i) = -2 + 0*i - 4*i - 2. Determine v*j(d) - 9*z(d).\nAnswer: -2*d - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j + 76 = 187. Suppose 29*q = j*q - 24. Solve 2*m - 1 = q*h, 3*m + 2*h - 7*h = 1 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = 10*y - 23. Determine x(9).\nAnswer: 67","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p - p - 3*w = 4, 5*p + 5*w - 35 = 0. Suppose 2*v - p = 5. Factor 5*g**4 + 16*g**2 + 2*g**3 - 12*g**3 - v*g - g**5 + 1 - 6*g**2.\nAnswer: -(g - 1)**5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 77739 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 23428216939 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -97 (base 12) in base 15?\nAnswer: -7a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35 = 5*g - 5*p, 4*g + 0*p = 5*p + 25. Suppose -r - g = r. Let j = r - -9. What is the remainder when 10 is divided by j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -10 - -15. Let w = 0 - 4. Let o = w + 5. Which is the second smallest value? (a) -5 (b) f (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 127 - 128 + 16*x**3 + 28*x**3 - 6*x**3.\nAnswer: 38*x**3 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 152397863 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 358009?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s + 0*s - 32 = 0. Suppose -j - 3*j + 4*q + 12 = 0, -j + 5*q = 9. Let z = s - j. What is the units digit of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -46 + 46 - (1 - 3)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 83\/192 and 53\/69.\nAnswer: 4416","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1542360?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -1807*k. Let h(m) = -18780160*m. Determine 6*h(l) - 62356*q(l).\nAnswer: -3668*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 384.159 - 342.19. Let i = v - 42. Round i to 2 dps.\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 14*s**4 + 2*s**3 + 157*s - 442*s + 69 + 284*s as f*s**4 + d*s + q + a*s**3 + t*s**2 and give q.\nAnswer: 69","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 5388 - 2379. Suppose -2*z - f = z - 2*s, 3*z + 5*s + 2988 = 0. Is z\/(-35) - 6\/10 a multiple of 28?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 11 in -11, -1.3, -2\/21, -0.5, 4\/811?\nAnswer: 4\/811","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -66 = 13*c + 9*c for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 32 - -20. Suppose l + p - 4 = -1, 4*l - 4*p = q. Let i(d) = -d**2 + 9*d + 8. Does 6 divide i(l)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 57568?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -718*b + 6518. Give h(7).\nAnswer: 1492","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -9, -24, -47, -78, -117, -164, -219?\nAnswer: -282","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/(-16 + 2))\/(9\/18).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8 + 207\/27 + (-1040 - -1027).\nAnswer: 8\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f + f = -10. Let v = -0.11253 - -0.01253. Which is the closest to v? (a) f (b) 2 (c) 1 (d) 0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -16561 + 71765. Suppose 0 = 7*d - s - 26535. Is d a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24 = 153*n + 588. Which is the biggest value? (a) n (b) -27\/5 (c) -9 (d) 4 (e) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 548563285 to the nearest integer?\nAnswer: 819","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1137*g**3 - 362*g**3 + 5230 - 5230.\nAnswer: 775*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 538 + -431. Suppose -29*j + 183 + f = 0. Solve -5*r + j = -3*r for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 42*f**3 + 77*f + 102*f - 14*f**3 to b*f**3 + g*f + z*f**2 + u and give g.\nAnswer: 179","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -14854 (base 9) in base 7?\nAnswer: -41443","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-7)\/(-42)*12\/3)\/2?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3)\/(-60) - (-5 - (-144)\/30).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -m + 1. Let k be x(-3). Suppose -q - k*q = 3125. Let d be (1 - 21)*(0 - q). What is d rounded to the nearest one thousand?\nAnswer: -13000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*l + l - w + 14, -3*w = 5*l - 60. Suppose -f + l = 4. Find the second derivative of -6*o**4 + o**4 + f*o**4 - 3*o - 5*o**4 wrt o.\nAnswer: -60*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) be the second derivative of q**4\/12 + q**3\/6 - q**2\/2 - q. Let j be n(-2). Let o = j - 0. Put -2, o, -3 in increasing order.\nAnswer: -3, -2, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -484 (base 14) to base 7.\nAnswer: -2424","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-117)\/13*14\/30*2660\/(-133).\nAnswer: 84","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 128\/6*53*315\/(-22260).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 0.96 times 7926\nAnswer: 7608.96","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in w - 130 + 129 - 228.\nAnswer: w - 229","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -10 + 1012?\nAnswer: 1002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 11858\/38623 - -2\/2971. What is q in -2\/13*q**2 + h + 6\/13*q**3 - 6\/13*q - 2\/13*q**4 = 0?\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*o - 4918 = -4*r - 25*o, -5*r - o = -6152. Let a = r - 352. Is a prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -88590*r**2 + 152451*r?\nAnswer: -177180","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -2*t**2 + 38*t + 46. Let n be i(20). Suppose p + 9 = -0*c + 2*c, n = -2*p. Solve c*m = 5*s - 15, m - 2*m + 2*s - 6 = 0 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 458 minutes after 11:46 PM?\nAnswer: 7:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*r + 32 = 5*z, -3*r = 288 - 300 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2599 is divided by 31.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 45933?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 302, 278, 256, 236, 218, 202?\nAnswer: 188","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.1 + -0.1. Let i(n) = 67*n. Let g be i(-1). Let f be (-9)\/(-12) + g\/100. Which is the closest to -0.01? (a) d (b) f (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 62 (base 10) to base 14.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 46730.5 and 4166470?\nAnswer: 4119739.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1019164, -2038347, -3057542, -4076755, -5095992, -6115259?\nAnswer: -7134562","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 42 and 12998?\nAnswer: 272958","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 3\/25 of a microsecond?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uug when three letters picked without replacement from xuxxuuzxgxu?\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2 by -591.\nAnswer: -2\/591","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 431030 + 22?\nAnswer: 431102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 40 + 21*w**3 - 43*w**2 - 12 - 30.\nAnswer: 21*w**3 - 43*w**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*o - 3*o + 27. Suppose h - o = -4. Solve -14 = 4*m + 3*u, u - h*u = -4*m for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -11 (base 4) to base 2\nAnswer: -101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 14*z**2 + 20870*z - 5964.\nAnswer: 2*(z + 1491)*(7*z - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = 3*a + 85. Let i be j(-26). Suppose -i*k + 6724 = -6331. Is k a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -0.5, 1\/2, -2\/9, -87, -5, 3\/14, 7?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 28633 a multiple of 137?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2165771*m**3 - 58981*m + 11.\nAnswer: -12994626*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -44.8 - -42.77. Let r = h + 2. Which is the biggest value? (a) 5 (b) r (c) -2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 86 + -81. Suppose 185 = 5*r + v, y*v - 97 = -4*r + 2*r. What is the highest common factor of r and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.08 - -808.\nAnswer: 808.08","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 13 + -12. List the prime factors of 28 - 11 - (t + -2).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) be the second derivative of x**6\/720 + 53*x**4\/12 - 71*x. Let k(p) be the third derivative of i(p). Let y be -1 + -1 - 0 - -2. Give k(y).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y - 10 = u + 1, -y = 3. Let n(p) = p**2 + 9*p + 19. Let c be n(u). Suppose -5*i = -a + 97, -2*a - c*i + 164 = -6*i. List the prime factors of a.\nAnswer: 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1 + 3. Suppose 2 = 2*w + 3*l - 2, v*w = -4*l + 8. What is the third derivative of -3 + w*i**5 + i**2 + 3 wrt i?\nAnswer: 120*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 403*k**5*s - 10*k**4*s**3 + k**2*s**3 - 5604*k**2 wrt k.\nAnswer: 24180*k**2*s - 240*k*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.151, 19, -12270.\nAnswer: -12270, -0.151, 19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11101001101000001 + 110110?\nAnswer: 11101001101110111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = 2*a**3 - 28*a**2 + 12*a + 20. Determine f(7).\nAnswer: -582","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nnww when four letters picked without replacement from nwwwnnwnwwnnwn?\nAnswer: 21\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = q - 1. Let b(l) = 2*l**2 - 5. Determine -b(y) - 2*w(y).\nAnswer: -2*y**2 - 2*y + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 7612980 to the nearest one hundred thousand.\nAnswer: 7600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 240 divided by -120?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 13, 28, 43, 58, 73, 88?\n\"Answer: 15*i - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 135355\/74151 + (-15)\/21\nAnswer: 10\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -15031 (base 15) in base 11?\nAnswer: -46826","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c + 4*n = n - 4, 2*c + n - 6 = 0. Suppose -c*r + 115 = -65. Suppose -5*k + r = 3*y, -5*y - 2*k = -k - 128. Is y prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -87*k - 435. Is a(-36) a multiple of 87?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 32880545?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1718035979?\nAnswer: 11, 47, 401, 8287","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 259 divide 28867363?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 36196 and 2?\nAnswer: 36196","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1)\/7)\/((-1)\/(14\/20)).\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from snsnssnnnn. Give prob of sequence ss.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -r + 9. Let s be o(10). Let d be (s\/(-3))\/((-1)\/(-3)). Solve 2*h - 7*h - 8 = 2*l, -5*l = 2*h - d for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 126 = 3*b + r - 0*r, 0 = 2*b - r - 89. Factor -96*y + 29 - 24*y**3 + 40*y**4 - 72*y**2 - b*y**4 - 77.\nAnswer: -3*(y + 2)**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 0 + -20020002023?\nAnswer: -20020002023","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: Let o be 8 + -2 - (-1 + 5). Suppose -5*p - 5*i = 100, i = -o*p + 4*i - 45. Let d = p + 17. Sort 2, -2, d.\nAnswer: d, -2, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (672*g**4 + 503*g**4 + 2*g**3 + 216*g**4)*(2 + 2 - 5) to f*g**2 + z*g + v*g**3 + o*g**4 + h and give f.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1777*o - 22 = -1779*o - z, -8*o = 2*z - 84 for o.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-98)\/(6 - -8) - 924. Which is smaller: -935 or p?\nAnswer: -935","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-33*k + 19 - 19)*(-4*k - k + 3*k)*(-1 - 6 + 6) as z*k + x*k**2 + a and give x.\nAnswer: -66","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t - p = -22128 - 201, -4*p = 2*t - 14876. List the prime factors of t.\nAnswer: 2, 1861","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 89 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -1 + -2 + (0 - -6). Solve 0 = -3*m + 3*k - 18, 4*k - 7 = -w*m + 3 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = v**2 - 14*v + 32. Calculate the remainder when 10 is divided by y(12).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 27 divide 1107?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 63274748?\nAnswer: 2, 17, 23, 1759","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*h - 3*d - 331 - 1114, -567 = -2*h - d. Suppose 3*z - h = 680. Suppose -z = -5*p + 763. Is p a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 192, 388, 580, 768, 952, 1132?\n\"Answer: -2*o**2 + 202*o - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 7191 and 1377.\nAnswer: 153","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -146438\/9836229 + 152\/18317. Calculate the common denominator of i and 113\/12.\nAnswer: 27924","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -264, -507, -748, -987, -1224, -1459?\nAnswer: -1692","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3509*x**2 + 2887*x**2 + 614*x**2.\nAnswer: -8*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -452*w + 120*w + 5525442 = 110*w. Calculate the greatest common divisor of 54 and w.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 12.1 - 12. Sort 2\/15, k, 0.\nAnswer: 0, k, 2\/15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 118 divide 790073159?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3.2 + 3.2. What is the nearest to 0 in 2, -1, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -5*u + 3. Calculate a(-3).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -18482 + 18520.802. What is z rounded to the nearest ten?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 205 + -90. Let c = 114 - b. Suppose 0 + 12 = -4*o. Sort 0, c, o, -21.\nAnswer: -21, o, c, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + 5 - (-53 - -53).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(sqrt(102)*1 + sqrt(102)))\/((sqrt(6) + sqrt(12)\/sqrt(2) + sqrt(6))*-5).\nAnswer: -4*sqrt(17)\/15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(14)\/sqrt(2) + -1 + (sqrt(7) - (2 + sqrt(28))**2).\nAnswer: -33 - 6*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = 641*g**2 + 117*g + 108. What is the tens digit of j(-8)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4271?\nAnswer: 4271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(-1*sqrt(12)\/(1*sqrt(4) + sqrt(4)) + (sqrt(108)*2 - sqrt(108)) + -2)**2.\nAnswer: -379\/4 + 22*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand 268*o - 422*o + 223*o + (-2*o - 3 + 3)*(-3 + 2 + 3) - 1 + 2*o + 1.\nAnswer: 67*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4\/(-20))\/((-9)\/(-15)).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 190c34 - -7f?\nAnswer: 190cb3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 5.7, 81\/47, 587?\nAnswer: 5.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1377 and 2193.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -ba6 - 25c?\nAnswer: -1135","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 18 - (13 - (17 + -8)). Solve 5*f + 3*i = n, -7*f - 5*i = -2*f - 20 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 661 is divided by 261?\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -p**3 - 5*p**2 + 8*p + 1. Let r be f(-6). Let t(x) = -x - 10. Determine t(r).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve r + 4*z + 62 = 0, 0 = -5*r - 162*z + 164*z + 42 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 45388 > 45387?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = 177728 - 177728 + 4*i**2. Let n(l) = 961*l. Give n(d(f)).\nAnswer: 3844*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1*14\/(21\/3)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2 - 8\/5. Let o = 0.11 - -1.69. Let v = -0.5 + o. What is the second smallest value in v, t, 4?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find i such that -i**3\/7 + 1674*i**2\/7 - 18293*i\/7 = 0.\nAnswer: 0, 11, 1663","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 50332824?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1298968729.\nAnswer: 15289, 84961","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 6 and 5912967.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:46 AM and 1:11 PM?\nAnswer: 385","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q - 28 = 4*o, -q = 3*q - 3*o - 26. What is the second derivative of -12*w**5 + 0*w**q + w - 9*w + w wrt w?\nAnswer: -240*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3 + 15. Let p = 565 - 386. Suppose -f - 5 + 39 = -2*c, 0 = 5*f - c - p. Calculate the highest common factor of f and x.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 786120 divided by 4.\nAnswer: 196530","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -128 + 130. Solve -2*c - 3*i + 2 = -7*c, k*c - i = 0 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -12*c**2 - 16*c + 5. Give l(-5).\nAnswer: -215","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*p + 46 - 18*p - 151 + 52 + 11*p**3 + 52 in the form d*p**3 + w*p**2 + r*p + q and give d.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -118, -157, -222, -313?\nAnswer: -430","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9711 is divided by 8?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -965\/6 - -160. Let o = 69.7 + -59. Let w = o + -11. Which is the second smallest value? (a) y (b) 0.2 (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*r**3 + r**3 + 9*r**3)*(-8*r + 8*r + 2*r**2) + 6*r**5 - 8*r**5 - 11*r**5.\nAnswer: 3*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -7.1 + 6.4. Let q = -5.5508 + 0.5508. What is the smallest value in q, 0, f, -2?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1925612?\nAnswer: 2, 13, 19, 1949","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4647037 is divided by 580852?\nAnswer: 221","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1896 - 357 + 2554 - 13*d**2 + 12*d**2 + 289.\nAnswer: -d**2 + 4382","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 75 - 72. Let t be 12 + -9 + -1*y. Suppose 0 = -t*z + 5*z - 2*i - 137, -2*i + 95 = 3*z. What is the tens digit of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*h + 7 + 85. Let y = 42 + -37. Suppose -10*z + y*b = -8*z - 404, -4 = -2*b. What is the highest common divisor of h and z?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*c + 5*c - 15, 4*d - c - 119 = 0. Let v(b) = b**3 - 33*b**2 + 60*b + 67. Let g be v(d). Solve -5*a + g*u + 4 = -16, 2*a - 5*u = 5 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -2197*f + 733*f - f**2 + 18 + 721*f + 724*f. Give n(-15).\nAnswer: 78","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7378 + 40*c - 6943 + 14323.\nAnswer: 40*c + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -767 + 767.3195. Round f to 2 dps.\nAnswer: 0.32","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*m**5\/3 + 52*m**4\/3 + 262*m**3 + 1124*m**2\/3 - 3112*m\/3 - 1776 = 0 for m.\nAnswer: -9, -2, 2, 37","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1 + 6. Let f = 8 - 5. Suppose 0 = 2*h - f*m - m - 24, r*h - 78 = 4*m. What is h rounded to the nearest 10?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 + (1 + -1)\/(-2 - -3).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 170533 is divided by 14205?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -930, -1866, -2812, -3774, -4758, -5770, -6816, -7902?\n\"Answer: -v**3 + v**2 - 932*v + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -3*t - 0*t. Let m be 0 + 0 + t + 13. Let w be (-4)\/(-8)*(-8)\/m. Which is smaller: -1 or w?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 110 + 120. Let i be (-1656)\/180*(8\/(-4) - 3). Calculate the highest common divisor of g and i.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -1\/84 and 1 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 113\/2870 - -1\/287. Let l be 6\/16 + 980\/(-224). Let j be (1 - -1)\/(5\/(10\/l)). Which is smaller: t or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 7 + -5. Suppose -2*z + 19 = -3*o, -3*z + o + 6 = -5. Suppose -2 - z = 2*p. Put h, 3, p in ascending order.\nAnswer: p, h, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -1\/4 (b) -6 (c) -5 (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 110738?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 4*(165\/(-20))\/(-3) and 612.\nAnswer: 6732","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 (base 15) in base 13?\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*u = 5*m - 8, -7982*m = -7978*m - 3*u + 12 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 187 is divided by 92?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -53382 = 4*s - a + 22891, -4*s - 76288 = 4*a. Let q = 10580 + s. Let j = q + 127261\/15. Calculate the common denominator of j and -47\/33.\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -27*n**2 - 2. Let c(a) = -6*a**2 + 4. Determine j(c(f)).\nAnswer: -972*f**4 + 1296*f**2 - 434","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 143, 124, 97, 56, -5, -92?\nAnswer: -211","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -95\/3204 and 46\/2341323?\nAnswer: 9365292","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (888\/90 - (-12)\/90) + -8. Solve -t = 5*f + 19*g - 16*g, 3*f - 3*g - 18 = 0 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (11*g - 4*g + 5*g)*(-44 + 44 - 12*g).\nAnswer: -144*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: Expand (q**3 + q**2 - q**2)*(26*q + 61*q + q) + 2*q**4 - 3*q**3 + 3*q**3 + (-2 + 2*q**3 + 2)*(2*q - q + 0*q) - 55*q - 26*q**4 + 55*q.\nAnswer: 66*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (0 - -1)*1 - (-1 + 1). Solve 5*g + u = -9 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 + (114 - 239) + 102.\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) be the first derivative of -y**4\/4 - 4*y**3\/3 + 3*y**2 + 7*y - 3. Let z be r(-5). Solve -z*m = m + 15 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 15 and 2067?\nAnswer: 10335","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -3 (b) -6364 (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (7\/(-7*(-8)\/(-28)))\/(2\/4)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3\/8? (a) -1\/2 (b) 6\/17 (c) -6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 6\/5 - 4\/5*j - 2\/5*j**2.\nAnswer: -2*(j - 1)*(j + 3)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = 59*r - 97 - 115*r + 391*r. Let q(v) = -167*v + 49. Let k(m) = -5*q(m) - 3*z(m). Differentiate k(s) wrt s.\nAnswer: -170","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11600960 is divided by 325.\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = 6*f - 1. Let a be (-9)\/(-6)*2\/3*3. Suppose 5*v - 2 = a. Determine o(v).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 44, -5.\nAnswer: -5, -4, 44","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jntdddnudnd. Give prob of picking 1 t, 1 d, 1 n, and 1 j.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2753 + 2533. Is 7 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9685088?\nAnswer: 2, 7, 43237","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 18759.699 rounded to the nearest 10000?\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.14? (a) -0.005 (b) -2\/7 (c) -1 (d) -81\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h\/h**0)**(-3\/20))**35 assuming h is positive.\nAnswer: h**(-21\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 3426296529 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11259*d**2 + 5698*d**2 + 5556*d**2.\nAnswer: -5*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2.2 + -0.9. Let n = -0.9 + x. Round n to zero decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f - 4 - 6 = 0. Let o = 8 + 4. Let r = -11 + o. Which is the second smallest value? (a) f (b) r (c) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 43182.28 millilitres to litres.\nAnswer: 43.18228","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Are 69 and 60 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wka. Give prob of picking 1 w and 1 k.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + 2*z = -16, -7*z = -3*t - 2*z + 32. Suppose t*m - 20 = 0, u + 5*m = 4*u + 16. Put -1, -2, u, -4 in increasing order.\nAnswer: -4, -2, -1, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 9613936 and -103?\nAnswer: 9614039","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7 = -3*f - x + 1, -3*x = 4*f - 9 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -195409*k. Let r(z) = z**2 + 929. Calculate r(j(t)).\nAnswer: 38184677281*t**2 + 929","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 3738 and 23051.\nAnswer: 138306","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -925 = -o - 4*o. Suppose 1 = -3*r - 4*c, -113 + 147 = 6*r - c. What is the greatest common factor of r and o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22952915 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-73)\/((-38836)\/(-5472))*35\/(-20).\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 165537484.\nAnswer: 2, 7, 97, 8707","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m + 466 = -4*f, 3*f - 2*m + 348 = m. Let z = f + 114. Find the third derivative of -4*a**2 + z*a**4 + 5*a**4 - a**2 + 11*a**4 wrt a.\nAnswer: 384*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 315 and 357?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 73 + 26.\nAnswer: 99","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 620 minutes after 7:04 AM?\nAnswer: 5:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = 11*z**2 + 6*z + 7. Let n(d) = 2*d**2 + 1. Let k(v) = -f(v) + 6*n(v). Suppose -5*y - q + 17 = -14, 5*y - 32 = -2*q. Determine k(y).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*a + 3*u + 27 = 0, -2*u - 2 = 2*a - 3*u for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -2758, 4.\nAnswer: -2758, -2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) be the third derivative of 11\/6*c**3 + 1\/120*c**5 + 0 + 0*c**4 + 0*c + 8*c**2. Let r(a) be the first derivative of d(a). Calculate r(4).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -2, -1, -3, -0.89, 1\/3, 0.2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -z. Let p(g) = -256 - 175 - 6*g + 3*g - 17. Calculate h(p(l)).\nAnswer: 3*l + 448","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 247126974 to the nearest integer?\nAnswer: 15720","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (3\/(-813) - 0)*-2. Let p = -313\/5691 + i. Let n be 8\/(-28) - 2\/(-7). Is p bigger than n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = 15*d**3 + 7*d**2 - 4*d - 10. Let o(t) = -61*t**3 - 29*t**2 + 18*t + 42. What is 9*i(l) + 2*o(l)?\nAnswer: 13*l**3 + 5*l**2 - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8 = 5*v + r, v - 3*v + 10 = -4*r for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of ((-66004)\/6)\/(6\/9 + 52\/(-39)).\nAnswer: 29, 569","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = r**4 + 6*r**3 + 7*r**2 + 7. Let m(i) = i**2 - 3*i**3 + i**3 + 3*i**3 + 4 - 3. Let h(d) = -21*m(d) + 3*v(d). Factor h(g).\nAnswer: 3*g**3*(g - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.4213353ml to litres.\nAnswer: 0.0004213353","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 299613228 > -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1313569?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand r - 4 + 4 + (-19 + 5*r + 19)*(1 + 1 - 3) + 1 - 1 - 2*r - 2*r + 5*r - r - 2*r + 0*r + r + (-2 - 1 + 1)*(5*r - r - 3*r).\nAnswer: -7*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from stsmtmqsmmq. Give prob of picking 1 q, 2 s, and 1 m.\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (34 - 17) + -5 - -2?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 323 - 315 - (-6 + 0)?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2333 by 3.\nAnswer: -2333\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 - 2) + -24 + (47 - (67 + 13 + -45))?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 18634 and 308.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = h**3 + 12*h**2 - 2 - 4 - 17*h + 10*h + 9*h. Let x = 8 - 13. What is the remainder when z(x) is divided by 27?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 11 - 8. Suppose p + 1104 = -3*v + 1095, p = 2*v + 11. Suppose -o*k = p - 18. Solve r - k = -3 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q = w - 2, 2*w + 0*w - 19 = -5*q. Suppose 4*d - 16 = -0*d - 4*i, q*i - 17 = -4*d. Which is the smallest value? (a) 4 (b) d (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t - 7 = -5*b, t + 5 = -4*t + 5*b. Let p(h) = -4*h**t + h**2 + 4*h**2. Let c(g) = g + 2. Let q(o) = o + 1. Let z(x) = c(x) - 2*q(x). What is z(p(j))?\nAnswer: -j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -21 - ((-7 - -2) + 16 + (-49 - -20) + 21).\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1, 72, 275, 674, 1335, 2324, 3707, 5550?\nAnswer: 7919","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -2*w**3 - 3*w**2 + w - 3. Let b be i(-3). Let o = 14 + b. Is o composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 199 a factor of 37449?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i, 1 y, 1 j, and 1 w when four letters picked without replacement from {w: 2, y: 2, j: 3, i: 6}?\nAnswer: 72\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f*f*f*f\/(f\/(f*f**(2\/17)*f*f))*f)\/(f*f**(-7)))\/(f**(-1\/2))**2*(f*f*f\/f**(-1\/3)*(f*f**(-4\/5)*f)\/f*f)**21 assuming f is positive.\nAnswer: f**(9292\/85)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor -x**4\/3 + 17*x**3\/3 - 100*x**2\/3 + 76*x - 48.\nAnswer: -(x - 6)**2*(x - 4)*(x - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -69, -74, -83, -96, -113, -134?\nAnswer: -159","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = w**3 - 3*w**2 + 5*w - 5. Let b be ((-32)\/10)\/((-4)\/10). Is q(b) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -3 + -1*(-2)\/1. Let c be (1\/1)\/((-3)\/18). Let n = u - c. Solve -2*d + 14 = -6*d - n*l, -l = -2*d for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t + 9 = -2*t. What is the units digit of t?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*i + a - 17, 88*a = -61*i + 57*i - 8439 + 8731 for i.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i + 3*c - 5 = 0, 5*i - 3 = -5*c + 6*c. Suppose 0 = w - i. Let k be ((-5)\/(-45))\/((-7)\/28*-4). Is w at most as big as k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1011 + 101011110001?\nAnswer: 101011100110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -v**2 + 162*v + 2755. Let c be x(-15). Calculate the highest common divisor of 13900 and c.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17475990 rounded to the nearest 100000?\nAnswer: 17500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.17 - -0.04. Let w = 2 + -1.774. Let s = w + l. Round s to two decimal places.\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 23.1 + -23. What is the nearest to c in 0.4, 1\/2, 4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from oppopp. What is prob of sequence poo?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6\/((-6)\/(-1)*(92\/(-8))\/(-23)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*p + p + 8. Suppose 2*q - p*v = v - 6, -4*v = -2*q - 8. Solve q = -3*o - o - 12 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1\/18 (b) -7\/4 (c) -4\/17 (d) 1\/6 (e) 2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -1362, -3206, -5534, -8346, -11642, -15422, -19686?\n\"Answer: -242*f**2 - 1118*f - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -10 (base 2) to base 7\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 552, 1117, 1682?\nAnswer: 2247","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17 = 3*r - 1. Suppose -r*v - 4*v = -3350. Is v a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8264729 is divided by 125223.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -2d - b?\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 20\/28*7 + 0\/4. Calculate the greatest common divisor of 65 and n.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*o - 3 + 3 = 0 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 3713 (base 10) in base 14?\nAnswer: 14d3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -8.3 - -8. Let h = 0 - m. Let v = -1.3 + h. What is the second smallest value in v, 5, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*k - 2*k - 4*k + (k + 1 - 1)*(5 + 4 - 4).\nAnswer: 3*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(65) - (sqrt(65) - (sqrt(65) + -3*sqrt(65)*-1)))\/(-3*sqrt(45)\/sqrt(9)).\nAnswer: -4*sqrt(13)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -46*u - 52*u + 103*u.\nAnswer: 5*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*s + 5 = 5*s. Let v = -746421 + 21623993\/29. Let h = 766 + v. Which is bigger: h or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*p - 2*p**3 + 4 + 18*p**4 - 45*p**4 + 27*p**4 + 14*p**4 - 9*p**2 in the form a + z*p**2 + m*p + j*p**4 + d*p**3 and give d.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (96 - 26*k**3 - 96)*(-13*k - 5 + 5).\nAnswer: 338*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -51 - 58 - 15 - 344*k**2 + 14 wrt k?\nAnswer: -688*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -430487, -860977, -1291467, -1721957, -2152447, -2582937?\n\"Answer: -430490*n + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3916159 and 65?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3915.\nAnswer: 3, 5, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + 6 - (15 + (-26 - -7) - (-2 + -2))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -483356 + 36?\nAnswer: -483320","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*t + 131 - 131. Which is the third biggest value? (a) 2\/13 (b) 1\/4 (c) t (d) -2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*g = 2*u - 13, 10*g + 4*u = 12*g + 14 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 28251491 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) be the first derivative of 13*o**2 + 0*o + 36 - 53\/3*o**3. What is the second derivative of k(a) wrt a?\nAnswer: -106","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a + 6*w - 30 = 3*w, 0 = -a - w - 6. Let o(j) = -4*j**3 + 3*j + 4. Let y(m) = -11*m**3 + m**2 + 8*m + 11. What is a*o(q) + 3*y(q)?\nAnswer: -q**3 + 3*q**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 843711.\nAnswer: 3, 11, 37, 691","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) be the third derivative of -1\/42*b**8 + 0*b + 0 - 1\/60*b**5 + 0*b**6 + 0*b**7 + 0*b**4 + 0*b**3 - 11*b**2. Find the third derivative of r(h) wrt h.\nAnswer: -480*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from aavvqvvqqsrsvqssavv. Give prob of picking 2 a and 1 s.\nAnswer: 4\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.50335515 rounded to 2 decimal places?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -5 + 8. Let i be ((-168)\/(-196))\/((-1)\/(-14)). Suppose -2*a + 20 = b*s - i, -21 = -a + s. Does 10 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m - r - 3*r = -38, 3*m + 3*r - 24 = 0. Suppose 0 = 12*i - m*i - 498. What is the tens digit of i?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 51*s**2 + 45*s**2 - 1384*s**3 - 96*s**2.\nAnswer: -1384*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is nine tenths of a centimeter in millimeters?\nAnswer: 9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -28.9, 2\/11, 37, -4?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Are -0.09 and -0.002 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uu when two letters picked without replacement from aauaaaau.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 32.9 + -39. Let d = i + 6. Which is the second biggest value? (a) d (b) -1 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 93.5 and 0.086439.\nAnswer: 8.0820465","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 3\/112*-8*(-4774)\/93\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 12 + -10. Suppose -3*w = -s*w. Suppose -2*y = -w*y. Solve 5*j + 9 - 2 = -k, k - 3*j - 9 = y for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*w + 16 = 1856*x - 1857*x, -29*x = 0 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 55710487 to the power of 1\/4, to the nearest integer?\nAnswer: 86","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 + 3 + 0)*(-112 + 67 - 53 - 182 - 11)*(-229*m**2 + 421*m**2 + 98*m**2) in the form p + o*m**2 + b*m and give o.\nAnswer: -253170","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (0\/(-1) - -1)*(-168)\/(-12). Calculate the highest common factor of 14 and t.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (512*q - 258*q + 133 - 136)*(2*q**2 - 5*q**2 + 4*q**2 + (2*q + 5*q - 5*q)*(-q + 6*q - 3*q) + 2*q**2 - q + q).\nAnswer: 1778*q**3 - 21*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 297 - 147. Suppose 60 - l = -3*u. Suppose 18*v + u = 24*v. Solve -2*i - 3*s = -7, s + 5 + 4 = v*i for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19745 a multiple of 144?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3.9 - -0.1. Let g = -0.2 + 7.2. Let y = g - l. What is the second smallest value in -0.4, y, -2?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -47, 15, 892 in decreasing order.\nAnswer: 892, 15, -47","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 6058 - 6050. Sort 0, x, -1\/4, -1, 2\/9 in descending order.\nAnswer: x, 2\/9, 0, -1\/4, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = 49*i + 122. Let y(l) = 97*l + 246. Give -7*n(u) + 4*y(u).\nAnswer: 45*u + 130","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*d + 7 = 9*d for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -2*j**2 - 21*j - 45. Let k be p(-7). Let y(l) be the first derivative of 0*l**2 + k + 0*l - 2\/3*l**3. Let x(t) = t. What is y(x(z))?\nAnswer: -2*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -91*r - 610*r + 28741 for r.\nAnswer: 41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 938 and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 832553 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -2, -6\/35, -0.4, -47 in increasing order.\nAnswer: -47, -2, -1, -0.4, -6\/35","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 22505 + -16?\nAnswer: 22478","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express (-77 + 77 + 9*c)*((-6 + 2 + 3)*(3 + 1 - 1) + 1 - 2 + 2 - 63 + 49 - 101) in the form f*c + d and give f.\nAnswer: -1053","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -15*h + 2. Let d be r(-2). Suppose -u = t - 0*t - 13, t + 2*u - 18 = 0. Calculate the highest common divisor of t and d.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -310, -624, -936, -1246, -1554?\n\"Answer: g**2 - 317*g + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -26*l**2 + 6710226*l - 6710226*l. Let g(r) = -66*r. What is o(g(u))?\nAnswer: -113256*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put together -284687 and 3.\nAnswer: -284684","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -14 in 2\/9, 0.4, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3543?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 8521, 8374, 8227, 8080, 7933, 7786?\nAnswer: 7639","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 731 is divided by 151.\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -102 - -108. What is n in -6*n - 3908*n**3 - 3*n**2 - 3*n**4 + a*n**4 + 3914*n**3 = 0?\nAnswer: -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 4, s: 1, n: 5}. What is prob of picking 1 z and 3 n?\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h + 2 = h, -4*y = -h - 142. Let q be ((-25770000)\/(-1 - 0))\/(y\/72). What is q rounded to the nearest one million?\nAnswer: 52000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -2*c**3 + 10*c**2 + 11*c + 5. Let p(v) = 5*v**3 - 21*v**2 - 23*v - 10. Let d(n) = -7*m(n) - 3*p(n). Calculate d(-6).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1143244 (base 5) to base 3.\nAnswer: -1002202200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 33 + -8. Let t = l - 35. Is -0.1 greater than or equal to t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 49 a factor of 4449102?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 8917640 a multiple of 856?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 685 minutes before 9:29 AM?\nAnswer: 10:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 - (-4 - 9) - 3 - (67 - 110 - 26)?\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*m - 3 + 33. What is the nearest to 2 in 0.3, -1\/9, m?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:52 AM and 8:49 PM?\nAnswer: 657","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 143401 to the nearest integer?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 348\/68 + -4*6\/204.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is -4\/256989 != 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.1 (b) 0.1 (c) -2\/5 (d) -2\/3 (e) -41\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -681 + 685. Suppose 399 + u = 31*s. Let w(c) = -c**3 + 12*c**2 + 15*c - 19. Give w(s).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*i**2 - 25*i**3 + 26*i**3 + 2 + 0*i**2 - 25*i to l*i + p + k*i**3 + o*i**2 and give l.\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*n + 2*n + 20 = 2*c, 2*c - 10 = 0 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 3, c: 2, s: 8, l: 6}. Give prob of picking 2 c, 1 l, and 1 s.\nAnswer: 4\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 425 + 71. Let n = v - 485. Solve 9*g - 10 = n*g for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 29657 + 21*x**3 - 1171*x**3 - x**2 - 32485 wrt x?\nAnswer: -3450*x**2 - 2*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 0.4 (b) 9 (c) -9 (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (-48)\/63*2*18\/504*21\nAnswer: -8\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -y**3 + 5*y**2 + 7*y - 9. Let j be t(6). Let c(g) = -g**2 - 3*g + 3. Let p be c(j). Solve -1 - 5 = p*u for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 625343?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 - 6*m + 107*m - 3 + 0.\nAnswer: 101*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*i = -11*h - 247, 75 = -2*i - 247*h + 244*h for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000474318682 rounded to seven decimal places?\nAnswer: -0.0004743","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = 14*q**2 + 14*q - 21. Let p be y(-9). Let f = 1940 - p. Find the second derivative of 25*a + f - 16*a**5 - 953 wrt a.\nAnswer: -320*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 36 - 26. Calculate the smallest common multiple of 7\/28*-2*-56 and h.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 648 times 8783\nAnswer: 5691384","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -79256 or -79255?\nAnswer: -79256","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -20 + 15. Let i = 1715 + -1711. What is the second smallest value in d, 0, 2, i?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by -498?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 25 + (-3 - -1) + 3\/(-1). What is the greatest common factor of 130 and u?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**5*r**(2\/5))\/(r**(-1)\/(r\/(r\/(r*r**(-5\/4))*r)))*(r**0*r)**(-26)\/(r**(-4)\/(r**(-4\/5)\/r)) assuming r is positive.\nAnswer: r**(-373\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.02 in 20, -5, 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1025?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -7 - -11. Suppose -3*i + 5*z = z + 16, -m*i + 20 = 5*z. Suppose 0 = -3*h - i + 42. What is the units digit of h?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -338.8076 to the nearest one hundred.\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-1)\/(-2))\/(1\/4). Let j be (-6)\/n + (189 - -2). Does 8 divide (-2)\/(-6) + j\/12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r**(-1\/3)\/r**(-9)*(r*r**(3\/4)*r)**(3\/7) assuming r is positive.\nAnswer: r**(827\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k = 5*c - 4470 - 926, 5392 = 3*k + c. Is k a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o - 6 - 14 = -4*r, -5*r + 26 = 3*o. Let s be (3\/o - 1) + (-33)\/(-6). Suppose -s*n + 6 = -0. What is the units digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -3*w + 44. What is the smallest common multiple of 19\/1 - (6 + -3) and u(0)?\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1998 by 27.\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -4 (b) -3 (c) 1 (d) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = 8*b + 4. Let y(j) = j. Let s(u) = -20*u - 7. Let p(t) = -s(t) - 4*y(t). Let a(r) = -5*d(r) + 3*p(r). Is a(4) a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a + a - 308 = 2*g, 3*g = 3*a - 309. What is the tens digit of a?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 443*y**2 + 2*y - 136*y**3 + 2 - 227*y**2 - 2*y**4 + 0*y**4 - 3*y - 218*y**2 as l*y**4 + s*y**3 + v*y**2 + p*y + z and give l.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a - 5*g = -635, -6*g + g = 0. Let q be 2\/8 - 475\/(-4). Suppose 6*m - a - q = 0. What is the remainder when 160 is divided by m?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 1 (b) 3 (c) -5\/2 (d) 91\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -132*p + 164 = -232 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5854 divided by 443.\nAnswer: -5854\/443","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*j + 42 - 6 = 0. Is ((-4153)\/j - 0)\/((-3)\/18) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 95\/16116 and -97\/539886.\nAnswer: 1079772","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = 7*m**2 + 28*m + 18. Let g be f(-9). Let q = g + -337. Which is the fourth smallest value? (a) -6\/7 (b) q (c) 0.2 (d) 7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-19 + 43)\/(72\/84).\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 18523415 to the nearest integer?\nAnswer: 4304","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -32*s + 48. Let j be l(-53). Calculate the greatest common factor of 109 and j.\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h\/h**2)**48)**(-2\/53)\/(h**(-16)*(h\/(h\/(h\/h**(-12\/11))))\/h)**(3\/7) assuming h is positive.\nAnswer: h**(33468\/4081)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -201343204 (base 5) to base 3\nAnswer: -1112002222121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = z**2 + 4*z - 7. Let v be b(-6). Let s be (-1 - 2)*(1 - 2). Put -5, v, s in decreasing order.\nAnswer: v, s, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 18563 is divided by 683.\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find m, given that -m**3\/4 + 12082*m**2 + 24165*m = 0.\nAnswer: -2, 0, 48330","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-199)\/((-6567)\/102)*-1.\nAnswer: -34\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q, 1 g, and 1 z when three letters picked without replacement from llhllzllzlllhqllgzll.\nAnswer: 1\/380","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -14115 - -14360. What is the remainder when 1946 is divided by n?\nAnswer: 231","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 10 - 7. Find d, given that 15 + 5*d - 4*d**2 - 19 + h*d = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 (base 12) to base 11\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -102 = -5*o + 28. Suppose 23*d - o*d = -9. Is (d - 1)*(-1662)\/(-12) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 - 17 = -6*n. Suppose 12 = 5*v - v. What is the second derivative of -v - 12*w + 3 + 6*w**2 + n*w**2 wrt w?\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -13436, -29822, -46208?\nAnswer: -62594","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y - z = 19, -3*y - 29 = -0*y + 5*z. Let g = 15 - y. Factor -g*x**4 - 6*x**2 - 36*x + 9*x**5 + 24 - 6*x**3 + 22*x**3 - 6*x**5 + 17*x**3.\nAnswer: 3*(x - 2)**3*(x - 1)*(x + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xaxaxhaxaxhahxxxhxa. Give prob of picking 3 h and 1 a.\nAnswer: 2\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 41310 to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 80\/59, -5, -2\/5, -51?\nAnswer: -51","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*z + 1788876 = 83*z + 1793124 for z.\nAnswer: -59","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.3 * 613.\nAnswer: -183.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p = -95 - 75. Suppose d - p = -2*g, -74 = -2*d - 0*g + 2*g. Is 18 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -22*l**3 + 39*l**3 + 3*l - 18*l**3 - 2*l**2 - l**2. Let m(i) = i**3 + i**2 - i. Give 6*m(k) + 2*s(k).\nAnswer: 4*k**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = 3*s + 8. Is 10 a factor of o(11)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1220166.\nAnswer: 2, 3, 53, 1279","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = 3*n. Let h(f) = -5*f - 4. Let q(m) = 14*m + 11. Let k(t) = 11*h(t) + 4*q(t). Determine k(w(a)).\nAnswer: 3*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g + 4*x - 13 = -41, -21 = 2*g + x. Let d(y) = y**3 + 7*y**2 - 11*y - 20. Let z be d(g). Solve -3*h + h + 4 = 2*r, h - 12 = z*r for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3281576968522 - -1\nAnswer: -3281576968521","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(sqrt(567) + sqrt(567)*2 - sqrt(567)) + sqrt(567)*1 + 3)**2 - (sqrt(35) - (sqrt(350) - sqrt(350)*1)\/sqrt(10))\/(sqrt(25)\/sqrt(80)).\nAnswer: 698*sqrt(7) + 95832","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) be the first derivative of 3*h**7\/280 + h**6\/360 - h**3\/3 - 1. Let r(g) be the third derivative of m(g). What is the third derivative of r(q) wrt q?\nAnswer: 54","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6733509 is divided by 153?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = 8*x**2 - x - 5. Let a(o) = -16*o**2 + 114*o - 9. Let j be a(7). Let c(r) = 7*r**2 - r - 5. Calculate j*c(h) - 4*l(h).\nAnswer: 3*h**2 - h - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -60 - -62. What is the first derivative of -14*t**2 - 26*t**o + 16 + 8*t**2 + 25 wrt t?\nAnswer: -64*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-5*x**3 + 2*x**3 + 2*x**3)*(-2*x - 3 + 3) + (-3 + 3 - 2*x)*(3*x**3 - 2*x**3 - 2*x**3) to d*x**3 + c*x**4 + h*x**2 + q*x + t and give q.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -f**3 - 6*f - 13. Calculate o(-2).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -940612*f**3 + 399*f - 70?\nAnswer: -5643672*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 2069 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 62 - 46 = -4*s for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -3, 960, 0.31, -0.2, -4\/3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 26155 + -18542. Is s a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**(-4)*s)\/((s*s**(-13))\/s*s*s))\/(s**19*s\/s**(-10)*s) assuming s is positive.\nAnswer: s**(-23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Determine o, given that 2*o**2 + 9318*o - 1711944 = 0.\nAnswer: -4836, 177","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 491 minutes before 7:41 AM?\nAnswer: 11:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) be the third derivative of x**5\/20 - x**4\/24 - 13*x**3\/2 + 7*x**2 - 3*x. What are the prime factors of l(6)?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2209, 1082, 1, -2 in ascending order.\nAnswer: -2209, -2, 1, 1082","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -439.1337 to one decimal place.\nAnswer: -439.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1.13 + -86.87. Let n = -93 - b. Is -0.2 less than or equal to n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 860*k - 3669 = 9171 + 14680 for k.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 42345 less than 42347?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 5951 - 5941. Solve 43*m = 38*m + v for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 1405, 5483, 12273, 21769, 33965?\n\"Answer: -s**3 + 1362*s**2 - s + 45","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 2 + (-69)\/21 + 1. What is the nearest to 0.1 in -5, 0.4, b?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 619869865*t**3 + 1111179829?\nAnswer: 1859609595*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -g**3 + 7*g**2 - 23*g + 146. What is i(7)?\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -98118 by 3634.\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.3? (a) 149 (b) 0 (c) 0.0132\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -o - 3*k, -o + 2*o - 3*k = 6. Let v = 34 + -35. Let i = o - v. Is i even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 37765576627 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 37 - 101 - 211 = -25*k for k.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19*a = 21*a + 8 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1170\/130 - (60\/(-24) - (-43)\/(-2))?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -13.87207528 to two decimal places.\nAnswer: -13.87","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*a + 139 + 45. Let b(f) = -f**2 + 7*f - 2. Let n be b(6). Suppose 5*q - a = n*q. List the prime factors of q.\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -59*v + 2205. Determine c(37).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = 7*v**2 - 4*v - 3. What is q(-1)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3 - 13 - 5 - z + (0 - 3 + 6)*(1 - 3*z - 1).\nAnswer: -10*z - 15","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -156319, -312640, -468961, -625282?\nAnswer: -781603","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-192)\/(-224))\/((-531)\/(-9912))?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 19\/41899 and 31\/1772650.\nAnswer: 23044450","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26*o - 3 = -r + 28*o, -4*r - 8 = -3*o for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-2)\/5 + (-780)\/(-75). Solve 0*y - 2*t + 25 = -3*y, -t + d = -y for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 81, -263, -837, -1641?\nAnswer: -2675","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-12)\/36)\/((-2)\/(-78)). Let i = -14 - r. Is (i - 733)*3\/(-6) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = 3*h**2 - 2*h. Let k(d) = 10*d**2 - 7*d + 1. Let r(x) = -7*b(x) + 2*k(x). Let s(u) = 6*u + 5*u - u**2 + 0*u - 4*u - 12. Let y be s(5). Determine r(y).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1742\/3 - -1906\/3. Let l = 54 - s. Which is smaller: l or 1?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lg when two letters picked without replacement from {l: 1, n: 9, g: 4, u: 2}.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 269?\nAnswer: 269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1406\/11 + 128. Let j = 0.06 + -3.06. Sort g, j, -5.\nAnswer: -5, j, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 821033 is divided by 30?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 6178.2 - 6178. What is the third biggest value in 1.2, -43\/4, m?\nAnswer: -43\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*k - 26 = -4*i - 38, -12 = -k + 2*i for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let -i**2\/5 - 404*i + 2021\/5 = 0. Calculate i.\nAnswer: -2021, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: (-8 - -6) + 7 - (-3 - -5)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -124 + 1253 = -122*j - 1799 for j.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 139027 to the nearest integer?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 16\/3 - 137\/24. Let k be (-55)\/20 + 0\/(-1). Let a = -3 - k. Put a, 3, j in descending order.\nAnswer: 3, a, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 31\/33894 and -151\/8484?\nAnswer: 6846588","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -3.3999625 - -3.4. What is c rounded to six decimal places?\nAnswer: 0.000038","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a\/((a*a**(2\/11))\/a))\/a**(-2\/75)*a**38*a\/(a*(a**(13\/4)*a)\/a*a) assuming a is positive.\nAnswer: a**(114163\/3300)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 11, r: 2}. What is prob of picking 1 l and 2 r?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 46 - 42. Let t(f) = 6*f**2 - 2*f + 5. Let x(o) = 17*o**2 - 7*o + 14. Let u(b) = 11*t(b) - 4*x(b). What is u(h)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 480?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*i + 0*i + i)*(-2*i**2 + 4*i**2 - i**2) - 9*i**3 - 14*i**3 + 7*i**3 + (-2*i + 2*i**2 + 2*i)*(-3 + 3 - i) - 2*i**3 + 3*i**3 + 0*i**3.\nAnswer: -16*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = k - 1. Let y be 35*14\/(-350) + (-2)\/(-5). Let b(r) = -12*r. Give y*b(d) - 6*u(d).\nAnswer: 6*d + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f + 10 = 4*f. Suppose 0 = -4*h + 3*h - f. Sort 1, h, 4 in decreasing order.\nAnswer: 4, 1, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1616, 1615, 1614?\nAnswer: 1613","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -11, -25, 5, -7, 0 in ascending order.\nAnswer: -25, -11, -7, 0, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b + 6*b - 3*y = 0, -3*y = -b - 6. Factor 0 - 1\/3*u**2 - 1\/3*u**b + 0*u + 1\/3*u**5 + 1\/3*u**4.\nAnswer: u**2*(u - 1)*(u + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 65, 125, 183, 239?\n\"Answer: -q**2 + 63*q + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -165 + 91 + 72 - 152*z - z**2 as y*z + m + v*z**2 and give v.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 142 minutes after 6:13 AM?\nAnswer: 8:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kkkkxxk. Give prob of sequence xkkx.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -y**3 - 9*y**2 - 9*y + 40. Let p be h(-7). Let o(d) = 110*d**2 + 8*d - 47. Is o(p) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 49 + -93. Suppose 0 = 2*w + 3*w + 320. Let z = j - w. Solve z = 3*c + 2*c for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 12211210210022100 - -100?\nAnswer: 12211210210022200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is -4\/1955 at least 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Total of 4.19 and 1.3.\nAnswer: 5.49","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 28*n + 33751 - 97899. Are 0 and n non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 2\/10 - 9432500055\/275. What is n rounded to the nearest 1000000?\nAnswer: -34000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 117600?\nAnswer: 2, 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) be the second derivative of -97*b**7\/2 + 19*b**3\/6 + 14*b**2 + 106*b. What is the second derivative of l(x) wrt x?\nAnswer: -40740*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 + (-3 + 7 - (3 - -3)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1283 - 1284. Let d be (-1)\/4 - 17\/(-4). Suppose -d*j + 6*j = -6. Is j smaller than l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 20639153 and 19938.\nAnswer: 123834918","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange z**2 - 7*z**2 + 1 + 8*z**3 - 11*z**3 to f + x*z**2 + d*z + q*z**3 and give q.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 545657 and 155902.\nAnswer: 1091314","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -223, -922, -2087, -3718?\nAnswer: -5815","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.079 and -6118049203.56.\nAnswer: -6118049203.639","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (sqrt(1024) + sqrt(1024)*-2 + sqrt(1024) + (sqrt(192)\/sqrt(4))\/sqrt(3))\/(1*sqrt(56)\/(sqrt(35)\/(sqrt(20)\/sqrt(4)))).\nAnswer: sqrt(2) + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 1883 divide 34143863?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1\/(4\/8) - -2. Suppose m*q + 19 = 3*j - 21, 4 = 3*j + 5*q. List the prime factors of j.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2333*p**4 - 2*p**2 + p - 1735 wrt p.\nAnswer: -55992*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-24)\/16)\/(((-1785)\/14)\/17)*205?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*r - 21 - 3 = 0 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6 + 10 = 4*a for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -17 - 8*x**3 + x**3 + 5 + 9. Suppose -12 = -3*a + 36. Let i(v) = 11 - 6 - 4*v**3 - v**3 + a*v**3. Determine -5*i(y) - 8*w(y).\nAnswer: y**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 75\/4 of a meter in centimeters?\nAnswer: 1875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 3\/11 > -7925?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 252522072 a multiple of 41?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1317*l - 24 = -1320*l for l.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:01 PM and 3:55 AM?\nAnswer: 474","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 51 and 935.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 856 and 24.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 25511?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-2)\/9 + 132\/351. Let d be 2\/3 - 3\/(-9). Which is the closest to d? (a) u (b) 0.2 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 4142 and 2318.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 14 - 24. Let a be (-4 + (-25)\/h)\/(1\/2). Let m(r) = -r**3 - 3*r**2 + 5*r + 2. Determine m(a).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 4\/(-14) - 130\/(-14). Let d(t) = -t**2 + 18*t - 61. Let y be d(13). Let s be ((-2)\/y)\/(1 - (-119)\/(-112)). Which is bigger: i or s?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is eight thirds of a minute in seconds?\nAnswer: 160","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8975 + 8960 - 17799 + 2*n.\nAnswer: 2*n + 136","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w + 740 = 2*w + 5*q, 4*w + 4*q = 984. Suppose 2*a - 111 = w. What is the tens digit of a?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -138*(-34)\/(-6)*-1. Let q = b + 5018. Round q to the nearest 1000.\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (30\/9)\/((-6)\/(-9)). Suppose u = 4*k - 31. What is the first derivative of -32 + 13 + 20*p + k wrt p?\nAnswer: 20","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -16*c**2. Let n(a) = 95*a + 4. Calculate n(m(q)).\nAnswer: -1520*q**2 + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q*q**(7\/4))\/q*q**26)**50 assuming q is positive.\nAnswer: q**(2775\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.06, 1\/8, 1\/7, -0.3 in decreasing order.\nAnswer: 1\/7, 1\/8, -0.06, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 12*3\/27*3. Suppose 7 = a*i - 5. Solve 2 = z + i for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence aq when two letters picked without replacement from {q: 6, s: 3, u: 2, c: 1, a: 1}.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2\/(-3) + 0 + (-47)\/(-3) and 27.\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -565482, -1130953, -1696420, -2261883, -2827342, -3392797?\nAnswer: -3958248","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -242 = -m - 240. Which is the closest to m? (a) 4 (b) -1\/7 (c) -0.036\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = 188335*r + 14501790. Calculate j(-77).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*o + o = 3. Let h(u) = -u**3 + 3*u**2 + u - 7. Let d be h(o). What are the prime factors of 57*(3 + d)*-1?\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r + 5 = q - 4, 0 = 3*q + 2*r - 34. Suppose 4*s - q = -0*s. Suppose -2*b - 2*b = -5*j, 0 = 3*b - s*j. Solve b*i = 5*i - 15 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4b (base 12) to base 3.\nAnswer: 2012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1022 - -201?\nAnswer: 2000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1420312 to the nearest integer?\nAnswer: 112","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*a - 2 = -47. Let n be 44\/(-126) - 4\/18. Put 2\/5, a, n in increasing order.\nAnswer: n, 2\/5, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from cycycy. What is prob of picking 3 c and 1 y?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = 2*i**2 - 1. Let k(b) = 472*b**3 + 48*b**2 - 24. Give -2*k(n) + 48*y(n).\nAnswer: -944*n**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 - ((-4)\/(-50) - (-14 - (-21632)\/400)).\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 1, p: 1, g: 3, f: 5, n: 1, s: 3}. What is prob of sequence pff?\nAnswer: 5\/546","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = r**3 - 7*r**2 - 12*r - 27. Let m be c(-5). Let x = 478 + m. Is 5 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = 2*c**2 - 2*c + 1. Let g be k(2). Suppose -g*m = -m - 48. Calculate the smallest common multiple of m and (-10)\/15*(-31 - -1).\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1654808 and 32?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = 4*c**2 - 6*c - 7. Let h(b) = b**2 - b. Calculate 5*h(v) - y(v).\nAnswer: v**2 + v + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = 11*g**2 + 3*g - 1. Let m be b(-3). Let c = m + -56. Is c prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*v + 67*q + 17 = 68*q, 2*v + q - 7 = 0 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -116539, -233304, -350069, -466834?\nAnswer: -583599","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 19439.\nAnswer: 7, 2777","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.1, 172, 23, 12?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-36)\/(-8)*(-48)\/(-72))\/(1\/(-1093)). Which is greater: -3278 or t?\nAnswer: -3278","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 184 minutes before 1:54 PM?\nAnswer: 10:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = 68*u**3 + 10*u**2 + 7*u - 17794. Let s(k) = 35*k**3 + 4*k**2 - 8898. Let m(o) = -2*q(o) + 5*s(o). Find the first derivative of m(f) wrt f.\nAnswer: 117*f**2 - 14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) be the third derivative of h**8\/20160 + h**5\/30 - h**2. Let m(b) be the third derivative of x(b). Let w(p) = -2*p. What is w(m(n))?\nAnswer: -2*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) be the third derivative of h**8\/560 - 3*h**7\/350 - 3*h**6\/100 + h**5\/10 + 21*h**4\/40 + 9*h**3\/10 + 682*h**2 + 2. Factor n(p).\nAnswer: 3*(p - 3)**2*(p + 1)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -z**2 + z. Let u be c(3). Let p be (-3)\/u - (-10)\/(-4). Which is smaller: 0.3 or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = 3*a**2 + 9*a - 3. Determine p(-4).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/12*(4\/20*-1)\/(891\/(-1485))?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q - 62 = 18. Suppose -3*n + 2 = -q. Suppose n*x - 10 = x. Solve 0*c + x = c for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z = u + 35, 5*u + 39 = 5*z - 16. Suppose 17*c = 19*c - z. Suppose -2*x - 2*n + 0 = -10, 70 = 5*x - 4*n. What is the remainder when x is divided by c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 3340\/(-70) - 6\/(-63)*-3. What are the prime factors of (-1 - p)\/(2\/8)?\nAnswer: 2, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-6 - -9)\/(-30 + 33). Let k(l) = 4*l**2 + 7*l + 2. Let t(p) = p**2 - p + 2*p - p + p. Determine w*k(r) - 6*t(r).\nAnswer: -2*r**2 + r + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*b - r - 4 = 2*b, -4*b + 3*r = 4. What is the units digit of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = 57*d**2 - 30*d - 539. List the prime factors of o(-15).\nAnswer: 2, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 159*n*x**4 + 13*n*x - 4*x**4 - 61*x wrt x.\nAnswer: 1908*n*x**2 - 48*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 take away -4.61?\nAnswer: 7.61","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.05? (a) -39 (b) 2\/5 (c) -39.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = 11*a**2 - 4*a. Let t(m) = -7823*m**2. Give i(t(g)).\nAnswer: 673192619*g**4 + 31292*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3322 + 3359 - 3*x - 6681 + 20*x.\nAnswer: 17*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 7, d: 2, z: 2, e: 7}. What is prob of picking 1 z, 1 d, and 1 e?\nAnswer: 7\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -13.78 + 14. Let o = s + -0.62. Let r = -3 + 6. Which is the third smallest value? (a) r (b) 1 (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -97 - -1 - (-28 - (0 + 20 - (-457 + 490)))?\nAnswer: -81","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + sqrt(2) + -5 + 4 + sqrt(2) + 1.\nAnswer: -4 + 2*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -2360653 + -108?\nAnswer: -2360761","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 + -125 - (-1051 + 917).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = 1714*p - 128666. Determine b(75).\nAnswer: -116","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = y**3 + y**2 + y. Let a(z) = 10*z**3 + 6*z**2 + 8*z. Let v(b) = -a(b) + 12*d(b). Factor v(k).\nAnswer: 2*k*(k + 1)*(k + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c = 4*c - 3*o - 7194, 0 = 2*c - 5*o - 4805. Is c a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 12*w + 5*w - 48 - 19 + 0*w + 255 with respect to w.\nAnswer: 17","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -46.132 + -0.268. Let c = 46.794 + z. What is c rounded to 2 decimal places?\nAnswer: 0.39","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -3*l**3 - 57*l**2 - l - 16. Let k be d(-19). Sort -27, k, 0, -7 in decreasing order.\nAnswer: k, 0, -7, -27","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -44*c - 42*c + 133*c + 3*c**2 - 47*c.\nAnswer: 3*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -5*h**2*s**5*w**3 - 3*h**2*s**2*w**3 - h**2*s*w**3 - 5*h**2*w**3 + h*s**2*w**3 + 3*s**3*w**3 wrt s?\nAnswer: -300*h**2*s**2*w**3 + 18*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-29)\/(-7540)*-13*-8?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0 and 59262369411.\nAnswer: 59262369411","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.162 (b) 138 (c) 1 (d) 0.2 (e) 10 (f) -2\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 3, f: 3}. Give prob of sequence pf.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1418\/31 or -46?\nAnswer: -1418\/31","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -2dc9d74 + -5?\nAnswer: -2dc9d79","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -8 + (-1 - (4 + 2)) + 19.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*z**5 + 4*z**5 - z**5 + (0*z**2 + 0*z**2 + 2*z**2)*(-3*z**3 - 2*z**2 + 2*z**2) + (4*z**5 - 3*z**5 + z**5)*(0 + 1 + 0)*(4 - 1 - 4).\nAnswer: -7*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = 2*s - 6. Let b be w(4). Suppose 8 = -b*r + 36. Factor u - 12*u**2 - 4*u + r*u**3 + 12 - 11*u**3.\nAnswer: 3*(u - 4)*(u - 1)*(u + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 176\/(-308)*(-63)\/(-279)?\nAnswer: -4\/31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-24)\/(-16))\/((-117)\/(-6)))\/(1\/(-1))?\nAnswer: -1\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 162 is divided by 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2300?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve l = h - 3, 5*l - 155 = -h - 158 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 63 and 13227?\nAnswer: 277767","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 806277 + -389477. What is c rounded to the nearest 10000?\nAnswer: 420000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -9*n**3 + 5*n**2 - 3*n - 9. Let h be q(5). Let a = h + 1529. Is a a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 smaller than -164\/54177?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -36, -171, -398, -717, -1128, -1631, -2226?\n\"Answer: -46*c**2 + 3*c + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -122*v - 27*v - 55*v - 2448 for v.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 4 (b) -1 (c) -5\/4 (d) -0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 + 2*a)*(12 + 23 - 39) - 4*a - 5*a - a.\nAnswer: -18*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1\/((-4)\/(-100*15)). Calculate the greatest common factor of x and 30.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 33*n = 3*m + 30*n - 30, 4*n + 56 = 0 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (51\/(-5))\/((-3255)\/(-10850))?\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = s**2 - 59*s - 748. Determine g(-11).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -3479*u. Let i(d) = d**2 + 12*d - 4. Let z(k) = -4*k**2 - 42*k + 14. Let x(g) = -7*i(g) - 2*z(g). Calculate l(x(q)).\nAnswer: -3479*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 29\/(-3*(-4)\/12) is divided by 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1804 + 2396. Let w be (-1)\/(-7) - (-258)\/7. What is the greatest common factor of t and w?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -909, -4859, -14893, -34053, -65381?\n\"Answer: -507*l**3 - 401*l - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 597, -6571, 9 in decreasing order.\nAnswer: 597, 9, -6571","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -146*i - 3299 + 1333 - 1246 for i.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 3 - ((-12 - -23) + 7)\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.6 - -0.5. Let h = 3.9 - j. Suppose u - 2 - 3 = 0. What is the biggest value in u, h, 0?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 276410 to the nearest integer?\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = 13*t**2 - 33*t + 231. What is the remainder when q(8) is divided by 32?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2*((-22635106)\/(-52) - -4) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -i**3 + 2*i**2 + 3*i + 1. Let l be s(3). Suppose 5*c - g - 189 = -2*g, -g - l = 0. Is 19 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 24198400 and 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*y - 15. Suppose -10 = 5*h + y. Let z = -3 + 1. Sort z, -1, h in decreasing order.\nAnswer: -1, z, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-78)\/4*4\/(-6) is divided by 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*s**5 + 49790*s**4 + 309905398*s**3 + 309656458*s**2 - 1239621624*s - 1239422472 = 0.\nAnswer: -12447, -2, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l + 5*a = 3793, -270*a + 271*a + 1879 = l. Is l a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*g + 128 = 29*g - 501 for g.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1780323 (base 10) in base 3?\nAnswer: 10100110010220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + 67 + (28 - ((32 - 9) + 17)).\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1225 a multiple of 27?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 20\/8*6\/(-15). Let g be (925\/1 - -4)*i. Let w = -178 - g. Is w prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3.51 - -3.7. Let y = 0.4 + g. What is y rounded to 0 decimal places?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 1365934398?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) 21\/4 (b) -8 (c) 1.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 9 + (55 + -63 - (1 - 2))\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-18)\/8*96\/(-18). Let v be (a\/(-8))\/(6\/(-13)). Let -1\/4*t**3 + 1\/4 - v*t**2 + 1\/4*t + 3*t**4 = 0. What is t?\nAnswer: -1, -1\/4, 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 222 - 217.92. Let m = q + -4. Let l = m + 1.92. What is the nearest to 2\/5 in l, 0.2, 0.1?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 10 + 1102?\nAnswer: 1112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 61 + 32 = -31*g for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -0.1 (b) 95 (c) 1\/4 (d) -5 (e) 46 (f) -3\/2 (g) -18\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5)\/((-585)\/(-13))*(-4 + 3).\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) be the first derivative of -5*v**6\/6 - 7*v**2\/2 - 8. Find the second derivative of j(k) wrt k.\nAnswer: -100*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -18, 5, 3\/7 in descending order.\nAnswer: 5, 3\/7, -18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 137362 is divided by 1616.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1794 is divided by 58.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14054930 + 3789828 = -158*b. Is b prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -3*q**2 + 6*q + 6. Let s(x) = -5*x**2 + 11*x + 11. Suppose 4*k + 0*k - m = 26, 4*m + 20 = 2*k. Give k*s(j) - 11*o(j).\nAnswer: 3*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 45 and 93605?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 32*x + 10*x + 568 = -29*x for x.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30 = -31*w + 25*w. Suppose -4*g - w*r = 9 - 6, -g + 18 = -5*r. What is the highest common factor of g and 8?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -4235*a**3 + 2103*a**3 - 99*a + 2129*a**3 - 259*a + 6 in the form h*a**2 + o + i*a**3 + w*a and give i.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -742500*t. Let i = -4 + 8. Let p be c(i). What is p rounded to the nearest one hundred thousand?\nAnswer: -3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-2)\/(-3) - 1780\/3471. Which is the biggest value? (a) 22 (b) s (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 94*t**3 - 12074*t**2 + 6036*t**2 + 6038*t**2 + 107*t**3.\nAnswer: 201*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 464*a - 224*a + 6*a**3 - 7*a**3 - 240*a.\nAnswer: -a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) 1\/133 (b) 4\/5 (c) -255 (d) 3 (e) -2 (f) 1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 28350527.\nAnswer: 19, 1492133","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -113279*n**3*u + 3733*n**3 - 214*n**2*u + 2*u + 551 wrt u?\nAnswer: -113279*n**3 - 214*n**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -517.6655 rounded to the nearest 100?\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) be the second derivative of 0*g**2 - 63*g + 3\/4*g**5 - 1\/4*g**4 - 43\/6*g**3 + 2\/15*g**6 + 0. What is the third derivative of m(j) wrt j?\nAnswer: 96*j + 90","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*j + 2*g + 30, j + 3*g - 11 + 31 = 0. Let z be -3 + 4\/((-12)\/(-15)) + -3. Let a = 12 - 12. Sort a, z, j in decreasing order.\nAnswer: a, z, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + 3 + 4 - (-13 - (-31 - (-20 - 5))).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-14 + 6*g + 14)*(-2*g**3 + 2*g**2 - 2*g**2) + 5*g**2 - 7*g**2 - 3*g**2 - g**4.\nAnswer: -13*g**4 - 5*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 283 + -277. Suppose -i*n = -125 + 5. Suppose 3 + 33 = 2*l. What is the lowest common multiple of l and n?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in -0.054, 0, 4?\nAnswer: -0.054","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 115338400 divided by 5\nAnswer: 23067680","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v**2\/v**(-3\/11) assuming v is positive.\nAnswer: v**(25\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 f when two letters picked without replacement from {f: 2, v: 11}?\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 216276837 is divided by 120.\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 430333 (base 9) to base 13\nAnswer: 8c790","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -2*h**2 - 183*h - 1003. Let g be v(-6). Let n(a) = -a**3 + 23*a**2 + a - 39. What is n(g)?\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 515667 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2 + 8. Let s = 52 + -10. What is the greatest common factor of s and d?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*n = -11*n + 25. Suppose 5*q + 3*i = 3 - 0, 4*q - 3*i = 24. Solve -n = q*l + 10 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -33 = 3*o - 27 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -w**2 + 2*w - 3. Let d(v) = -309*v**2 + 36*v - 57. What is d(h) - 18*r(h)?\nAnswer: -291*h**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -392, -355, -244, -17, 368, 953?\nAnswer: 1780","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 39188 and 72168?\nAnswer: 7288968","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -28 - 20 - 3627*c + 3684*c to k + a*c and give k.\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3744?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2\/3 + 8\/6. Suppose y + 7 = t - 4*h, 2*h + 6 = 0. Which is the nearest to -1? (a) t (b) -1 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21*o - 118 = -34 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*k - 0*k - 8*k + 2*s + 286, 4*k + 3*s - 88 = 0 for k.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 251266291 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1113*x - 23673 = 14169 for x.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 104 minutes before 5:45 AM?\nAnswer: 4:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide -162 by 743987.\nAnswer: -162\/743987","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 116114849 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 1.0193416162 and 2?\nAnswer: 0.9806583838","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -f**3 + 60*f**2 + 2*f - 19. Is h(30) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) be the third derivative of -a**5\/30 - a**4\/8 - 7*a**3\/2 - 21*a**2. Let m be y(-5). Let t = m - -107. Is t a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j - 10*j = -75. List the prime factors of j.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -5*q + 9. Let f be v(11). Let c = -43 - f. Suppose 0*o + c = 3*o. Solve k + o = 5 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.3*3443\nAnswer: 1032.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 46387?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*t + 5*k - 4 = -14, 0 = -3*k - 6 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k - i + 8 = -4, -6 = -k - 3*i. Suppose k*o = 23*o - 4800. What are the prime factors of o?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6280090 is divided by 452.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 433033 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*d = 2*d + 15, -215874*d = -r - 215878*d - 17 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 14 - 9. Suppose 0 = -0*q - 5*q + 10. Solve 0 = m*y - q*y - 15 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 20, -9\/10, 1\/8, 1.9?\nAnswer: 20","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = 188*b**2 + 2*b. Let h(r) = r - 229528 + 229528. What is a(h(p))?\nAnswer: 188*p**2 + 2*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5744 is divided by 209?\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 93351987.\nAnswer: 3, 3457481","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2677 - 5823\/2. Let z = -234 - p. What is the nearest to -0.2 in z, -1, -3\/2?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8120919756 plus -125.5?\nAnswer: 8120919630.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 4 - 9. Let i(p) = -p**2 + p + 5. Let d(z) = z**2 - 2*z - 5. Let m(v) = 5*d(v) + 6*i(v). Let n be m(f). Solve n = -k - 2*c + 11, -c + 0*c - 2 = -k for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 7*l**2 - 8*l**2 - 81*l**2 - 46*l**2 - 16*l**2 - 41*l**2 + (-2*l + 4 - 4)*(4*l - 3*l + 0*l) in the form n*l**2 + r*l + k and give n.\nAnswer: -187","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 105 a factor of 1596?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 8 and 95844526?\nAnswer: 383378104","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36*b + 41*b = 539. Calculate the least common multiple of b and 611.\nAnswer: 4277","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (236 + -236)\/(1*-1). Solve f = -68*y + 70*y - 8 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = 216*z - 16. Let g(a) = 72*a - 5. Calculate -5*c(o) + 16*g(o).\nAnswer: 72*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Add together 49.8 and 2.\nAnswer: 51.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*i + i = -3*x + 40, -i + 5 = 2*x. Suppose 16 - 86 = -2*h. What is the highest common factor of x and h?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 43161 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -o. Let r(v) = 510479*v + 3155. Let a(h) = 647*h + 4. Let m(j) = -3155*a(j) + 4*r(j). What is m(w(x))?\nAnswer: -631*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -1.26 times 2.8\nAnswer: -3.528","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10\/4 + 8680\/16?\nAnswer: 5, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 22231 to the power of 1\/2, to the nearest integer?\nAnswer: 149","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*p**2 + 30286*p - 60564.\nAnswer: -2*(p - 15141)*(p - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 1075069 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*w - 2*r + r - 678, 4*w = 2*r + 540. Calculate the highest common divisor of w and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -13137, -13169, -13223, -13299, -13397?\n\"Answer: -11*v**2 + v - 13127","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = t**2 + 14725*t + 58887. Determine b(-4).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 682 minutes after 4:30 AM?\nAnswer: 3:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = w**3 + 10*w**2 + w - 35. Determine t(-6).\nAnswer: 103","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 170077951 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -f**4*q - 70*f**4 + 5*f**3*q + 15*f**3 + 31*f**2*q - 15*f*q - 57*q wrt f?\nAnswer: -24*f*q - 1680*f + 30*q + 90","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u + 3 = f, 2*f = 6*f - 5*u - 12. Suppose -4*s + 2*s = f*p - 44, 0 = p + 4. Suppose 0 = o + 3*o - s. What is the remainder when 20 is divided by o?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o + 4*o = 0. Let j(z) = 2*z**2 + z - 6. Let f(r) = -r**2 + r + 1. Let i(g) = -4*f(g) - j(g). Let h be i(3). What is the biggest value in -1, o, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1010100001011111111 (base 2) to base 8\nAnswer: 1241377","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 3321469432 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(sqrt(85) - (sqrt(85) + 1*sqrt(85))) + sqrt(85) + -3*-2*sqrt(85))\/(-6*sqrt(720)*3 - sqrt(720)).\nAnswer: -5*sqrt(17)\/114","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w = -v + 8, -v - 4*v - 2*w + 17 = 0. Let r be (v*4\/3 - 4) + 12. Solve 0 = 2*f + f + r for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -282 or -284?\nAnswer: -282","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 3 (b) -0.2 (c) -23 (d) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c + 0*c - 15 = 0. Solve -10 = -c*r + r for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + m**5 + 1)*(1 - 3 + 0) - 3*m**5 - 4*m**3 + 4*m**3 + (2 + 0 - 3)*(m**2 + 3*m**5 - m**2).\nAnswer: -8*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = 8*g + 74. Let t be j(-9). Suppose 22*z + t = 24. Let x = -6 + 11. Calculate the smallest common multiple of x and z.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-f**2 - f + f)*(-4 + 3 - 1) + 3*f**2 - f**2 - f**2 + 4 + 2*f**2 - 4 - 2 - 73*f + 3*f**2 + 76*f + 4 + (86*f**2 - 54*f**2 - 61*f**2)*(2 - 1 + 0).\nAnswer: -21*f**2 + 3*f + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1084925805 and 615.\nAnswer: 615","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -81.188 - -0.188. Let j = 84 + b. What is the third smallest value in 0.4, j, 2, -3\/5?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2987*x - 1608*x**3 - 2 + 2987*x + 2.\nAnswer: -1608*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 212, 874, 1990, 3560, 5584, 8062, 10994?\nAnswer: 14380","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -2138222209 plus -0.4?\nAnswer: -2138222209.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/3, -22, -2, 0.11 in decreasing order.\nAnswer: 0.11, -2\/3, -2, -22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) be the first derivative of -5*i**2\/2 + 7*i + 1. Let g(v) = 2*v - 2. Let b = 6 + 1. Let n(f) = b*g(f) + 2*z(f). Let w(q) = 2*q. Determine n(w(j)).\nAnswer: 8*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 296549971 divided by 29831?\nAnswer: 9941","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 165 and 10.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -v**3 - 1. Calculate the remainder when 17 is divided by u(-2).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(-6*1*sqrt(80) + (sqrt(80) - (-1*(sqrt(80) + -1) + sqrt(80))))**2 + 3.\nAnswer: -1998 - 40*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -15.0000152 + 15. Round a to 6 dps.\nAnswer: -0.000015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 16 - (12 - 4) - 3. What is the third derivative of 120*b**2 - 15*b**5 - 4*b**3 - 2*b - b**3 - o*b**5 + b**3 - 9*b**5 wrt b?\nAnswer: -1740*b**2 - 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) be the third derivative of y**9\/10080 - y**8\/1120 + y**7\/336 - y**6\/240 + y**4\/4 + 6*y**2. Let g(h) be the second derivative of q(h). Factor g(z).\nAnswer: 3*z*(z - 2)*(z - 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-102)\/12 + 2)\/((-1)\/(-2)). Let i(g) = -g**3 - 13*g**2 - g - 17. Give i(y).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:57 PM and 5:47 AM?\nAnswer: 710","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -11, 5, 11?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 3, q: 3, g: 1, v: 2, c: 1}. What is prob of picking 1 g, 1 y, and 1 c?\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -130*d - 3. Let a be c(-1). Let r = a - 7. Calculate the greatest common factor of r and 15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-4)\/3)\/((-3)\/(-9)). Let j be (t - -3)\/((-4)\/20). Suppose -q = -4*o + j, 10 = -q - q. Solve o = -2*c - 4*h + 20, -3*c - 3*h = -0*h - 15 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 402 and 48?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 298026 and 54.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26*p + 230 = -20*p for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -5.8533128 rounded to 3 dps?\nAnswer: -5.853","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(sqrt(162)\/sqrt(324) - sqrt(18)))\/(sqrt(150)*2*2) + -3.\nAnswer: -3 + sqrt(3)\/24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 1584*z - 629 wrt z?\nAnswer: 1584","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*c + 5*w = 10, 4*w = -148*c + 289*c - 139*c + 34 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 184 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -48139.99 to the nearest 100000.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -62*k**4 - 168 wrt k.\nAnswer: -248*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(130)\/(sqrt(10)*3) + sqrt(13) - (5 + sqrt(13) + 3))**2 + 1*((sqrt(52)\/sqrt(4) + sqrt(13))*6 + sqrt(39)\/(sqrt(9)\/sqrt(3)))**2.\nAnswer: -16*sqrt(13)\/3 + 20362\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -15*(-4)\/(-3)*4. Let m = c + 102. Let n be 31\/(-26) + 0 + 33\/m. Is n < 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**1\/u)**3*((u\/(u**(-1\/3)*u))\/u)\/u*u\/(u\/((u\/(u\/u**(1\/37)*u))\/u))*u assuming u is positive.\nAnswer: u**(-293\/111)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = 6*a**2 + 2*a + 1. Let f be k(-1). Suppose -2*o = -2*b - 2, -2*b = -f*o + b + 11. Solve 0 = 2*i - 4, o = -5*c - 0*i + 2*i for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -50*i**3 + i**2 + 11*i - 67. Let s(u) = -2*u + 13 + 6*u - 3*u - 3*u + 10*u**3. Let y(n) = -2*c(n) - 11*s(n). Differentiate y(a) with respect to a.\nAnswer: -30*a**2 - 4*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) be the second derivative of 83*f**5\/20 + f**4\/12 + f**3\/3 - 3*f**2 - 6*f. Let k be a(2). Suppose 5*m + 131 = k. What is the units digit of m?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -5*w + 1. Let i be y(-2). Let f = -663 + 685. Suppose -5*t = -12*c + 13*c - 9, 5*c = -2*t + f. Solve 0 = c*k - 31 + i for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*x**3\/2 + 360783*x**2 - 721569*x\/2.\nAnswer: 3*x*(x - 1)*(x + 240523)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2 - -1.7. Sort 0.1, 1\/6, w in ascending order.\nAnswer: w, 0.1, 1\/6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = 162*u - 12478. Let o be m(77). Suppose 4*y + 85 + 107 = 0. Let c be -5*(y\/33 - -2). Is c greater than or equal to o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 70229?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-7 - 0 - (4 + -6 - 51)) + 7 + -1?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -17*s**3. Let k(g) = 18*g**3 - g. Determine -3*k(q) - 2*v(q).\nAnswer: -20*q**3 + 3*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 24*a**4 + 2*a**3 - 2*a**2 + 45*a wrt a?\nAnswer: 576*a + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1176 + 1204 = -7*n. What is the nearest to 1\/5 in n, 3, -74?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12*k**2 + 3*k**2 + 2*k**2.\nAnswer: -7*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 12727*b**4 - 12728*b**4 + b**3 - 2492*b**5 + 395 - 13*b**2 + 11*b**2 wrt b?\nAnswer: -149520*b**2 - 24*b + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine y, given that -4*y**3 + 852*y**2\/7 - 1172*y\/7 + 348\/7 = 0.\nAnswer: 3\/7, 1, 29","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -2*a + 41. Let m(n) = -n + 41. What is -5*m(s) + 4*y(s)?\nAnswer: -3*s - 41","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 14658817 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -100172*c**3*n**3 - 3*c**3*n**2 - 10*c**3*n - 9*c**3 + 21*n wrt n.\nAnswer: -601032*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 + 17 = 7*a. Let k be a\/(-1*(-2)\/4). Suppose 3*i = 12, -6*i - 2544 = -k*n - i. Is n composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 431 - 144. Suppose -62 + z = 5*v. What is the remainder when v is divided by (2*2)\/(11\/44)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.12 + -0.1. Let p = c + 0.08. Is 8 smaller than p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000000173 to 7 decimal places.\nAnswer: 0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-9 + (-3447)\/(-378))\/((-10)\/(-8)).\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -16, 1\/4, 1.9, 3\/2, 5?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (98\/(-8))\/(2\/8). Calculate the remainder when (-4970)\/h - 3\/7 is divided by 35.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 8 - 7. Let f = 8 + -10. Which is the closest to k? (a) f (b) -3 (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1243 is divided by 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3\/2? (a) 25 (b) 0.5 (c) 0.2 (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -d**2 + 7*d - 6. Let s be m(4). Suppose -4 = s*l - 7*l. Let n(q) = -q**3 + 22*q**2 + 24*q - 18. Let u be n(23). Sort u, 1, l, -1.\nAnswer: -1, 1, l, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is four thirds of a year in months?\nAnswer: 16","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 5208 and 1470.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 40\/1*(0 + 43 - -15)?\nAnswer: 2, 5, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*b**2*d**2*w - 76*b**2*d*w*x + 4*b**2*w - b*d**2*w + 5*b*d*w*x - 7*b*w*x + 2*d**2*w*x - d**2*x wrt b.\nAnswer: -4*d**2*w - 152*d*w*x + 8*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express 13 - 2*y - 5 + 14 + 3 as i + d*y and give d.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + -1 + sqrt(475) + 5)**2.\nAnswer: 475","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) be the second derivative of n**5\/20 - 2*n**4\/3 + 4*n**3\/3 + 4*n**2 + 18*n. Let w be q(8). What is the greatest common factor of w and 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 207 minutes before 7:57 PM?\nAnswer: 4:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*o**2 + 32853*o - 590382.\nAnswer: -3*(o - 10933)*(o - 18)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 19 + -16. Suppose h*f + 11 = 20. Suppose -2*o = q + f*q + 22, -20 = 4*q. Is -20 less than o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 d when two letters picked without replacement from {f: 3, c: 11, a: 1, d: 5}.\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Total of -9.778 and -131.\nAnswer: -140.778","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = 3*q. Suppose 33 = x + 2*x. Let z(c) = -14*c. Let t(n) = x*h(n) + 2*z(n). Give t(-1).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 3269 and 4.\nAnswer: 13076","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -484, -1769, -3852, -6727, -10388, -14829, -20044?\n\"Answer: x**3 - 405*x**2 - 77*x - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -w**3 - 5*w**2 - 5*w - 3. Let m be g(-3). Let z be m\/21 - (-5)\/(-7). Is -1\/7 <= z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h = -0*h - 24. Suppose -364 = -32*a - 1548. Let k = h - a. What are the prime factors of k?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.068391 plus 445?\nAnswer: 444.931609","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -47\/15 + 343\/110. Is m <= 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10530222 (base 8) to base 12\nAnswer: 917782","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 23.95 + -6.\nAnswer: 17.95","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is (-5845265)\/(-17) - 490\/4165 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -73*s**2 - 2*s - 154?\nAnswer: -146","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) be the third derivative of -b**4\/6 - 830*b**2. Let f(k) = 2*k + 7. Calculate u(f(x)).\nAnswer: -8*x - 28","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 1504178090 and -2397.68?\nAnswer: 1504180487.68","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: (1 + 6 - (-17 - -10)) + -29\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 3, x: 2}. What is prob of sequence zx?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put -2087, 23, 3, -5, 0 in increasing order.\nAnswer: -2087, -5, 0, 3, 23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = 85*m. Let y(f) = -15*f - 5. Let w(k) = -13*k - 4. Let h(u) = 5*w(u) - 4*y(u). Calculate c(h(x)).\nAnswer: -425*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is seventeen tenths of a litre in millilitres?\nAnswer: 1700","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/28? (a) -2\/7 (b) 0.4 (c) -26 (d) 4\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = 96*m**3 + 2*m**2 - m. Let z be f(1). Suppose -i + z = 3*b, 0*b + 3*b - 95 = i. Is b a multiple of 32?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 20562 is divided by 6848?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -2*3\/12*0. What is the second derivative of 2 + k + y - 2 + 2*k**2 wrt k?\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 420983 and 19.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -104 + 100. Let t = -4523 + 4524. Suppose 5*v - 5*r = -40, 3*v + 9 + 0 = -2*r. Which is the third biggest value? (a) y (b) t (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 228 is divided by 29.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -550 - -618. Suppose -y*q + 74111 = -66*q - b, 4*b = 5*q - 185279. Is q prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -10*f + 2. Let n(a) be the second derivative of -3*a**3\/2 + a**2 - 845*a. What is -3*n(m) + 4*v(m)?\nAnswer: -13*m + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 41562884 to the power of 1\/3, to the nearest integer?\nAnswer: 346","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2143148?\nAnswer: 2, 7, 76541","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 90 minutes before 4:23 PM?\nAnswer: 2:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 30 (base 13) in base 7?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z + 36 = 4*u, 30 = -3*z - 2*u + 3. Let l(a) = a**2 + 7*a - 10. Let k be l(z). Suppose -5*s - 5*i + i + 4 = 0, 0 = s + 3*i + k. Solve -d = s*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5 = 68*h - 63*h for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -91 - -89. Let q(n) = -n - 4. Determine q(i).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k + 92933 = 5*h, 0 = -3*h - 391*k + 388*k + 55731. Is h a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-b + 0*b + 4*b)*(-4*b + 4*b + b**2) + 121*b**2 + 71*b**3 - 73*b**3 + 2 + 0 as n*b**3 + l*b**2 + c + d*b and give c.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 1\/16 of a century?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -168 + 174. Let w(x) = 10 + o - 15 + 10*x. Let r(p) = -p. Give r(w(f)).\nAnswer: -10*f - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*z + 4, 4 + 17 = 5*b + 4*z. Let v be (-12)\/8 - b\/4*-1. What is the second smallest value in 4, v, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -39.6 and 32424?\nAnswer: -1283990.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1850 = -24*k - k. Are -71 and k non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-206)\/(-685980)*-60)\/(2\/(-2))\nAnswer: 2\/111","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -5841\/1420 - -111\/71. Calculate the common denominator of ((-114)\/(-16))\/((-3186)\/72) and d.\nAnswer: 1180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 503, 504, 505?\nAnswer: 506","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 371 and 212?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 10033 (b) 2 (c) -3\/14\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = 3*m - o, -m - 3*o - 9 - 4 = 0. Suppose -30 = z - 6*z. Find the third derivative of i**6 + 6*i**6 + 14*i**m - 2*i**z wrt i.\nAnswer: 600*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-5)\/(-45))\/(4\/(-3))*2\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -22146998, -44293989, -66440980, -88587971, -110734962, -132881953?\n\"Answer: -22146991*t - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 61 divide 1263005?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -3.3 and 587515?\nAnswer: -1938799.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 1763326?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/8 of a microsecond in nanoseconds?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -34*d**2 + 18*d - 6. Let f(o) = -31*o**2 + 20*o - 6. Determine 8*f(r) - 9*x(r).\nAnswer: 58*r**2 - 2*r + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 411*g**2 - 820*g**2 + 420*g**2 - 5 + 4145*g**3 + 5 wrt g?\nAnswer: 24870","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7.75231 years to millennia.\nAnswer: 0.00775231","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 0 + -1 + 159*(-3)\/(-3).\nAnswer: 2, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*v - 2*v - 2*v)*(-114*v + 392 - 392).\nAnswer: -114*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 1529 to the power of 1\/9, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -0.0443124*0.4\nAnswer: -0.01772496","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1.641 + -1.141. Let i = 6 + -4. Let t = i - 1.9. Which is the third biggest value? (a) t (b) s (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (11\/88)\/(6\/76)*-4*3\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/(24\/(-10)))\/5.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 546\/22 - (4 + 92\/(-22)) a multiple of 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -3\/8 (b) 2\/11 (c) 21 (d) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 675 + 3\/4*m**4 + 93\/2*m**3 + 1395*m + 3063\/4*m**2.\nAnswer: 3*(m + 1)**2*(m + 30)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = 17*v - 50*v + 23*v. List the prime factors of c(-8).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + -3 + -3*sqrt(72)*-6 + 0 + -4)**2.\nAnswer: -864*sqrt(2) + 23344","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -t**6 - 56110*t**5 + 39*t**2 - 2498 wrt t.\nAnswer: -120*t**3 - 3366600*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 391 and 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 57159227 to the power of 1\/3, to the nearest integer?\nAnswer: 385","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 120045141 to the power of 1\/4, to the nearest integer?\nAnswer: 105","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 179*c**3*v**3 - 2*c**2*v**2 - 17*c**2 + v**3 wrt c.\nAnswer: 1074*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 150 and 2130.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -17, -3, -4, -15 in descending order.\nAnswer: 1, -3, -4, -15, -17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x**4 - 2568*x**3 + 10228*x**2 - 12768*x + 5104 = 0. Calculate x.\nAnswer: 1, 2, 638","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = 50*b**3 - 3*b + 7. Let r(d) = 17*d**3 - d + 2. Calculate -2*m(x) + 7*r(x).\nAnswer: 19*x**3 - x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = l. Let n(v) = -39*v**2 + 325*v - 5. Let u(o) = -18*o**2 + 152*o - 2. Let c(i) = -4*n(i) + 9*u(i). What is c(t(m))?\nAnswer: -6*m**2 + 68*m + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j*j\/(j\/j**(-31)))**(2\/75)\/(j*(j*j*j*j**(-3\/10)*j)\/j*j**(5\/2)) assuming j is positive.\nAnswer: j**(-7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g\/(g*(g*g**10\/g)\/g*g*g))\/g*((g*g**(-7))\/g)\/g*g)\/(g\/(g*g**(-2\/7)))**(-6\/11) assuming g is positive.\nAnswer: g**(-1451\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3\/7, 126, 52, 12, 5 in increasing order.\nAnswer: -3\/7, 5, 12, 52, 126","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -1 + (90\/21)\/3. Suppose 80 = -5*z + 4*x, -4*x - 18 - 30 = 3*z. Let n be (-8)\/z*2\/(-7). Which is the closest to 0? (a) 0 (b) n (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-1 - -1)*(-11)\/11*1. Suppose u = x + 4, -3*m = -0*m - 5*x - 47. Solve m*a = 4*a + 10 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -93 - 15?\nAnswer: -a8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 304*f - 451 - 3501 for f.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u = 11 - 1. Let h = u - -11. Let k = -254\/5 - -51. Is k smaller than h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1440?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-6)\/4 + 2 - 1368\/16. Let b = 91 + k. Let c(l) = 4*l. Let y(w) = 9*w - 7. Let o(j) = -c(j) + y(j). Calculate o(b).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 660 minutes before 8:21 AM?\nAnswer: 9:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -132*s**2 - 12*s - 12. Let n be i(-2). Let p = n + 589. What is p rounded to the nearest ten?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 104*c - 92*c - 210*c - 792 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c - h = -6*h - 5, 11 = -2*c - 5*h. Factor -3\/2*s + 0 - 1\/2*s**c.\nAnswer: -s*(s + 3)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2772 divided by 154\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -211 + 10?\nAnswer: -201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -21.2, -0.3, -188, -4\/3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1232 and 42?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19*o + 9*o - 816 = -23*o for o.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -57*d - 5*y + 166, -11*d = -16*d - 5*y + 10 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*w = -6*w + 120. Let n be (-6)\/4*-2*19. Let j = n + w. What are the prime factors of j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1896655793 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -7, -23, -45, -79, -131, -207, -313?\nAnswer: -455","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = p**2 - 6*p - 24. Let t(l) = -l**2 + 5*l + 20. Let i(z) = -6*t(z) - 5*y(z). Let a(r) = 861*r**2. Determine a(i(k)).\nAnswer: 861*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -4651 + 4?\nAnswer: -4644","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 15570 and 1531273170?\nAnswer: 5190","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -13*d - 324. Let a be z(-25). Let x(o) = 12*o**3 + 4*o**2 - 6*o + 2. Give x(a).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 76\/((-1264032)\/108)*-4\nAnswer: 2\/77","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 i when two letters picked without replacement from {d: 4, i: 7}.\nAnswer: 21\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) be the third derivative of -o**5\/20 + 29*o**4\/2 + 75*o**2 - o. Find y, given that b(y) = 0.\nAnswer: 0, 116","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*y**3 + 3*y**3 - 2*y**3 + (y**3 - 2*y**2 + 2*y**2)*(-3 + 3 - 2) + 2*y**3 + 0*y**3 - 4*y**3 + (8*y**3 - 5 + 5)*(-4 + 2 + 1).\nAnswer: -11*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -3, -2\/13, 121531?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 11501264 - 0?\nAnswer: 11501264","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n - 4*b = 48764, 4*b = 3*n + 5270 - 41841. Is n a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 8*p**3\/5 - 5583*p**2\/5 + 194742*p + 121801\/5.\nAnswer: (p - 349)**2*(8*p + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 145 divided by -5.\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.117 - -3.883. Let j = -0.6 + -3.3. Let o = j + f. What is the closest to o in -3, -5, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 387050*t**3 + 28*t**2 - t - 5?\nAnswer: 2322300","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*l - l + 2*l)*(2*l + 2*l**2 + 6*l**2 - l**2) in the form h*l**2 + p*l + f*l**3 + y and give f.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of l**3 - 7*l**2 + 178 wrt l.\nAnswer: 3*l**2 - 14*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 625 minutes after 2:00 AM?\nAnswer: 12:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (0 + 4\/10)\/(146\/(-191260)). Let d = u - -533. Solve -2*k = -5*k + d for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1794*m**3*y**3 - m**3*y**2 + 26*m*y**3 - y**3 wrt m.\nAnswer: 10764*m*y**3 - 6*m*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 94 = 4*h + 5*z, 0*h + 109 = 5*h + 2*z. Let m = -15 + h. What is the second derivative of -v - m*v**3 - 2*v - v + 9*v**3 wrt v?\nAnswer: 18*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 114\/144 + 130\/(-156). Which is the nearest to 1\/3? (a) 0.4 (b) f (c) -3 (d) -2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/(-42))\/(7\/(-21)).\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(363)\/(sqrt(11)*-1*-4))\/(5*(sqrt(12) + sqrt(72)\/sqrt(6))).\nAnswer: sqrt(11)\/80","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 440 and 550?\nAnswer: 2200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6315 (base 12) to base 13.\nAnswer: 4c01","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (4\/(-16)*-12)\/(-1)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 49\/749242 and -49\/115268?\nAnswer: 1498484","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 18018 is divided by 6003.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -39 (b) -17\/5 (c) 0.05224 (d) 4 (e) 4\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 22889 + -20815. Calculate the greatest common divisor of 782 and h.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 6804 - 6449.7. Let u = 354 - d. Which is the biggest value? (a) 5 (b) u (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + sqrt(432)*1 - -3*(sqrt(48)*1 + (0 + sqrt(3) + -4)**2).\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 5 + (5 - 3) + -3\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 6712956 a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-4800)\/1)\/(-2)*-60. What is w rounded to the nearest 10000?\nAnswer: -140000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = 77*r - 73*r. Let b be 10\/r + 589\/186. Let i = 0.3 - 0.5. Put b, -1\/3, i in descending order.\nAnswer: b, i, -1\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22275818413 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 349174?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 24488987?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 389 divide 2493155?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-five quarters of a micrometer in nanometers?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -9*b + 6. Let a(x) = x - 1. Let h(c) = 6*a(c) + j(c). Let g be h(-2). Suppose g*m = 2*m - 16. Put 0, m, 3 in descending order.\nAnswer: 3, 0, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2615 - 1419. Let r = 2596 - a. What is the hundreds digit of r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3919 less than 3924?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/(-3))\/(10\/(-45))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = 3*u + 5. Suppose 3*i - k = -12, 0 = -3*i - 2*i - 2*k - 9. Let f(l) = -4*l - 4. Let p(o) = i*c(o) - 2*f(o). Calculate p(-8).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -b + 4*b + 5*f + 35, -2*b = 3*f + 22. Let t(c) be the third derivative of -c**4\/12 - c**3\/6 + c**2. What is t(b)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*o + 157 + 11. Let q = 44 - o. Suppose -2*j + 2*u = 7*u - 9, -j + 4*u = q. What is the third biggest value in 0, -15, j?\nAnswer: -15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r - 3*m + 12 = 0, 4*m = -2*r + m + 12. Suppose -4*x + 3*u = -x - 87, r = 2*x - 4*u - 66. Calculate the highest common factor of 50 and x.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-4)\/6 - 30\/9. Let q be m\/((-4)\/(-7))*1. Let j be 4 - q\/((-49)\/26). Which is the second smallest value? (a) -0.4 (b) j (c) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p and 3 h when four letters picked without replacement from {p: 2, y: 2, l: 6, s: 3, h: 3}?\nAnswer: 1\/910","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c = -2*c + 4. Let p be ((-6)\/(-9))\/((-1)\/6 + 5\/10). Find w such that 12*w**p + 20*w**3 - 34*w**4 - 9*w**5 + c*w**5 - 10*w**4 + 17*w**5 = 0.\nAnswer: -1\/3, 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2\/2899 - -2891\/11596. Let v = -0.1 - -0.23. Let r = v + 0.17. Which is the nearest to -49? (a) r (b) 5 (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (2 - 53) + (((-8)\/2)\/((-25)\/25) - 3)?\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0.3 or 18.4?\nAnswer: 18.4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4295, 8601, 12907, 17213, 21519, 25825?\nAnswer: 30131","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(171)*1*-1*5)\/(2*sqrt(9)*6 + (2*sqrt(99))\/sqrt(11)))**2.\nAnswer: 475\/196","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*a + 856*m - 30 = 854*m, 59 = -4*a + 3*m for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = f**3 - f**2. Let k(r) = -24*r**3 + 18*r**2 - 18. Determine -k(j) - 18*u(j).\nAnswer: 6*j**3 + 18","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 57 + (-45 + 96 - 103)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/(z*z**(-4)))**36\/((z*z**19)\/z**(-12)) assuming z is positive.\nAnswer: z**112","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) be the first derivative of r**3\/3 + 4*r**2 - 13*r + 4. Let x be k(-9). Let q(y) = -y**3 - 4*y**2 + y + 4. What is q(x)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j + 2*j = -27. Let t be ((-4)\/((-12)\/j))\/(-1). Find the third derivative of 7*o**5 - 4*o**2 + t*o**2 - 2*o**5 + o**5 wrt o.\nAnswer: 360*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-321*k - 215*k - 332*k)*(0*k + 4 + 2*k + k) to the form s + a*k**2 + l*k and give l.\nAnswer: -3472","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1213 - 3453 - 2*i - 2348 + i.\nAnswer: -i - 7014","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor -l**2 + 354502*l - 46068360.\nAnswer: -(l - 354372)*(l - 130)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d - 2 - 4 = -2*g, 5*d = -2*g + 9. Let x be 33\/39 + (-1)\/d. Sort -2, x, 0 in increasing order.\nAnswer: -2, x, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 7 and 3901999?\nAnswer: 27313993","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 4104 divided by -152?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-45045)\/(-350350))\/((-1)\/(8\/(-6))).\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*u + u + 12. Suppose z - 20 = -3*v, -v + 2*v = -5*z + 86. Suppose 2*t + 210 = z*t. What is the lowest common multiple of t and u?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-8)\/(-38)*(-3591)\/(-567).\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -62 + 13268*g - 13268*g + 2*g**2.\nAnswer: 2*g**2 - 62","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1416848 and 187?\nAnswer: 15585328","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -49895*u**3*w**2 - 12936*u**3*w - 4*u*w**2 + 3 wrt w.\nAnswer: -99790*u**3 - 8*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -f**2. Let m(x) = 7*x + 3. Let n(r) = 133*r + 63. Let s(i) = 133*i + 62. Let w(v) = 6*n(v) - 7*s(v). Let p(g) = 56*m(g) + 3*w(g). What is p(c(h))?\nAnswer: 7*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 + (-4 - 2) + -2?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -93*n**2 + 28083*n + 468. Calculate f(302).\nAnswer: -438","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3938*g - 1268*g + 3785*g - 1150*g.\nAnswer: 5305*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*r - 4066 = 1510. Let p = -335 - r. Which is the fourth smallest value? (a) -2 (b) 1 (c) 2 (d) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gkq when three letters picked without replacement from kggkgggkggggkgqgkqg.\nAnswer: 20\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 59163 times 0.2654\nAnswer: 15701.8602","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 8, 2 in decreasing order.\nAnswer: 8, 2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -6*s - 60. Let w be v(-11). Let r(n) = -17*n + 105. Let m be r(w). What is c in 0 + 4\/7*c + 2\/7*c**2 + 38\/7*c**4 - 30\/7*c**m - 2*c**5 = 0?\nAnswer: -2\/7, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000345 to six decimal places.\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3801 - h**3 - 3801 + 12*h**2.\nAnswer: -h**3 + 12*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 406 is divided by 63?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g + 0*t - 3*t = 1016, 490 = g + 3*t. What are the prime factors of g?\nAnswer: 2, 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a - a + 22 = -3*f, -3*a - 3*f = 48. Sort 1, a, 0.6.\nAnswer: a, 0.6, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) be the second derivative of 2*w**3\/3 - w + 328. Let n(r) = 15*r. Give -5*n(y) + 21*v(y).\nAnswer: 9*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.138*-0.4.\nAnswer: -0.0552","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.006114236 rounded to 4 dps?\nAnswer: -0.0061","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -23\/11, 227, 515 in decreasing order.\nAnswer: 515, 227, -23\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -4. Let l(f) = 3701*f + 11. Determine l(g) + 3*s(g).\nAnswer: 3701*g - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xxex when four letters picked without replacement from elxexxxxxff?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 + 24 + (-20 - -16).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 270739, 270741, 270745, 270751, 270759?\nAnswer: 270769","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*h - x + 14 = -0*x, -2*h - 20 = -4*x for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*u**2 - 18165*u - 73323 with respect to u.\nAnswer: -4*u - 18165","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -18\/41, -3, 0.06, 0.4?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -72147863100 to the nearest 1000000.\nAnswer: -72148000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gpfo when four letters picked without replacement from cfcgfgopgxfcfxcgcccf.\nAnswer: 1\/5814","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-6\/7)*l\/(l**(-20)\/l))**(-1\/5) assuming l is positive.\nAnswer: l**(-148\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-12)\/(-56))\/3)\/((-7)\/14)?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 31 - -1013?\nAnswer: 1044","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1406 or -1404?\nAnswer: -1406","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -2*h**2 - 2*h - 1. Let x be p(-2). Let u be 5\/2 + -2 - x\/2. Let m = 1 - -1. Solve 0 = -m*c - 3*r - 9, 3*r - 6*r = -2*c - u for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = o + 17. Let t be g(-7). Suppose 5 = -p - j + 4*j, -p - 2*j + t = 0. Suppose -p*z + z = -3*i - 33, 5 = -i. List the prime factors of z.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 3, -65, -1\/4, -0.4, -3\/2?\nAnswer: -65","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3 + -3. Let f be j\/(-15)*(-10)\/(-2). Find the first derivative of 2 + 1 - f*v - 1 wrt v.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3.2 + 3. Let f = q - 0. Let p = f + 0.1. Put 1\/3, p, 4 in decreasing order.\nAnswer: 4, 1\/3, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = r**3 - r**2 + r - 1. Suppose -t + 2 = -3*t. Let b(z) = -z**3 + 2*z**2 - z + 2. Let d = -15 + 9. Let y = d + 4. Calculate t*b(v) + y*h(v).\nAnswer: -v**3 - v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 59782?\nAnswer: 2, 71, 421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 491.7993 centimeters?\nAnswer: 4917993","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*n - 2*n + 2*c = 428, 2*n - c - 218 = 0. What is the greatest common divisor of 486 and n?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = d + 9. Let g be w(-6). Let y(s) = 2*s**2 + 5*s - 4. Let t be y(g). Let x be (t\/10 - 3)*-2. Which is the nearest to 0? (a) -1 (b) x (c) 2\/15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4 - 1) + 7 + -22 + 4.\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000001033293 to 7 decimal places.\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -261 + 789 = -11*y. Find the common denominator of 149\/6 and (-3*10\/y)\/(6\/(-136)).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + sqrt(1584))*-3 + (4 + 1 + sqrt(1584))**2.\nAnswer: 84*sqrt(11) + 1615","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -2 (b) -0.4 (c) 3 (d) 21\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00817616 to 4 decimal places.\nAnswer: -0.0082","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*n + 109 = -2*n + 3*j, 0 = -4*n + 5*j + 85. Suppose -28 = -2*x - 2. Let m = n - x. Calculate the remainder when 22 is divided by m.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = 7*l - 33. Let v be r(5). Put 57, v, -3 in ascending order.\nAnswer: -3, v, 57","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 56 divide 91552?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 3989 - 3988.1948. What is a rounded to 1 decimal place?\nAnswer: 0.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -31*a**2 + 2 + 4*a - 2*a**3 + 62*a**2 - 33*a**2 as u*a**2 + y + z*a + h*a**3 and give u.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 31, 149, 483, 1141, 2231, 3861?\nAnswer: 6139","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1.64 in 5, -42\/11, -1, -2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/7 in -206, -0.4, -0.3, 369?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1043 and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z - 2*y = -15579, 11*z - 15*y + 20*y = 171403. List the prime factors of z.\nAnswer: 15583","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j - 3 = 4*j, -3*s - j + 30 = 0. Let b be s*(-2 + (-3 - 16)). List the prime factors of (-2)\/11 - b\/11.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-b**4 + 3 - 1 - b**4)*(-3 + b + 3) + (-b**4 - 5*b**4 + 5*b**4)*(2*b - 1 + 1).\nAnswer: -4*b**5 + 2*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 b when two letters picked without replacement from aabaaaaaaaab.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 89 + -86 + 2 + 0 + 0. Suppose -40*w + 144 = -44*w. Let d = 37 + w. Solve -2*f - c = -d for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*z**2 - 2*z**2 - 2*z**4 + (0 + z**4 + 0)*(33 - 50 - 45).\nAnswer: -64*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(833) + 3)*-5 - (sqrt(833) + 2)*5 - ((sqrt(833) - (sqrt(833) + sqrt(833) + -3 + -2)) + -3*sqrt(833)*-3)**2.\nAnswer: -53362 - 630*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*j**5 - 930*j**4 - 58260*j**3 - 1366750*j**2 - 9149415*j = 0. What is j?\nAnswer: -71, -33, -11, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 37025?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -16 - -17. Calculate the lowest common multiple of u and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6472577 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 8408709?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is z in 2*z**5\/9 - 10*z**4\/3 - 76*z**3\/9 + 44*z**2\/3 + 74*z\/9 - 34\/3 = 0?\nAnswer: -3, -1, 1, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 243006 to the nearest integer?\nAnswer: 493","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = 29*w**2 + 3*w + 11. Let o(g) = -98*g**2 - 8*g - 34. Let n(z) = 7*i(z) + 2*o(z). Let d(t) = -t**2 - 1. Determine 6*d(x) + n(x).\nAnswer: x**2 + 5*x + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 327 (base 8) in base 16?\nAnswer: d7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -17.2, -0.007, -0.2 in increasing order.\nAnswer: -17.2, -0.2, -0.007","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 4 and 196?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -5*p**2 - 8*p + 8. Let o be y(1). What is the second smallest value in o, 19, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) be the first derivative of 469*q**3 + 3*q**2\/2 - 4727*q + 4632. Differentiate w(x) with respect to x.\nAnswer: 2814*x + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1009 + 1052. Let b = 2 + -3. Which is smaller: a or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 855008 is divided by 188?\nAnswer: 172","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -14*v + 10*v + 24. Suppose 0 = -q + 2*d + 495 - v, -5*q + d + 2436 = 0. What is the tens digit of q?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -45, 2, -52, -5, 3 in ascending order.\nAnswer: -52, -45, -5, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h + h + 30 = 0. What are the prime factors of 6*4*(-5)\/h?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*w**4 - 26*w**3 - 104*w**2 + 128*w = 0.\nAnswer: -4, 0, 1, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 - 2 - 3)*(-14 + 5*q + 14)*(4*q + 0*q + 0*q) in the form r*q + i + a*q**2 and give a.\nAnswer: -160","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -11, -24, -45, -74, -111?\nAnswer: -156","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 19480 and 712.\nAnswer: 1733720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2.978963 * 1.\nAnswer: 2.978963","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 14.5595839 to 3 dps.\nAnswer: 14.56","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*b - 1 = t + 6, -5*t + 5*b + 25 = 0 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y + 93 = -5*u, 4 = 3*u - 5. Is 22 a factor of 430\/8 + 9\/y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -267 - 294 = -3*d. What are the prime factors of d?\nAnswer: 11, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -11*j + 61 + 302. Is 1\/(1\/(-393))*(-11)\/j prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 15*c - 2 - 5*c - 11*c + (-2 - 2 + 6)*(0*c + 0*c - 3*c + (-4*c + 3*c + 5*c)*(-4 + 5 - 2)).\nAnswer: -15*c - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) be the second derivative of 0*t**2 + 0 + 0*t**6 + 0*t**3 - 29\/12*t**4 + 0*t**5 + 41*t + 31\/42*t**7. Find the third derivative of b(n) wrt n.\nAnswer: 1860*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1561 in -0.098, -0.5, 2\/7, -0.2?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 518289 > 517518?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 251, -3\/7, 4, -120, 0.02?\nAnswer: 251","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -28168, -28017, -27764, -27409, -26952, -26393, -25732?\n\"Answer: 51*i**2 - 2*i - 28217","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 3\/4 (b) -4411 (c) 3 (d) -2\/3 (e) 0.01 (f) -12\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*v - o + 8 = 0, -3*v + 5*o - 80 + 63 = 0 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.55 - 0.15. Let x = o + 0.9. Let r = 3 + -3.4. Which is the second smallest value? (a) x (b) r (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*i + 7*b = 5*b + 14, 2*b = 4 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 55\/18 and 3 - 4 - 65\/22?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of r*z**5 + r*z**3 + r*z - 233*z**5 + 71*z**2 wrt z?\nAnswer: 60*r*z**2 + 6*r - 13980*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = h + 9. Let p be f(-4). Suppose 164 = p*a - 3*m, m = -a - 7 + 43. What is the remainder when a is divided by 19?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 - 1)*(3 - 4*x - 3)*(-2*x + x + 17*x).\nAnswer: 64*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -34 + j + 37 + 2*j to the form o + d*j and give o.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -4 + 6. Let k(z) = -z**5 + 6*z**4 - 4*z**3 + 2*z**2 - z - 2. Let h(a) = -a**4 - a**3 + a**2 + 1. Let r(g) = y*h(g) + k(g). Factor r(s).\nAnswer: -s*(s - 1)**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 3 - -36c66?\nAnswer: 36c69","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -13903.33986 to the nearest 10.\nAnswer: -13900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = s - 3*y - 7, 0 = -5*s + 8*y - 4*y + 24 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2324 + 3434. What is the hundreds digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 310681013 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 14 - 17. Sort i, 4, -4.\nAnswer: -4, i, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*b - 2*b - 4*b)*(-2*b**3 + 0*b**3 + 3*b**3) - b**4 - 3*b**3 + 3*b**3 + (-b - b + 0*b)*(-37*b**3 + 31*b**3 - 22*b**3) + 4*b**4 - 6*b**4 - 4*b**4.\nAnswer: 47*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1666\/27 - 1648\/27. Let -2\/9*u**3 + b*u**2 - 8\/9 + 0*u = 0. Calculate u.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = r**3 - 9*r**2 + 2*r - 12. Let t be v(9). Calculate the highest common divisor of t and 12.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -5 (b) 10\/13 (c) 3.3 (d) 2 (e) 2\/113\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 20*(180\/24)\/(-15)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) be the third derivative of -5\/1344*g**8 + 0 - 6*g**2 - 1\/84*g**7 + 1\/6*g**5 + 0*g + 35\/96*g**4 + 1\/48*g**6 + 5\/12*g**3. Factor a(b).\nAnswer: -5*(b - 2)*(b + 1)**4\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -95\/656 and 81\/92?\nAnswer: 15088","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor -s**3\/2 + 90293*s**2\/2 - 2038341895*s\/2 + 6114213075\/2.\nAnswer: -(s - 45145)**2*(s - 3)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from pppgpppppgp. Give prob of sequence ggp.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i = 4*j - 50, -2*j = -5*i + 26 - 44. Is 7 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = d + 2. Let k be j(0). Suppose 4*v = -4*o + 32, 4*v + k*o - 4 = 6*v. Solve v*s + 15 = -0*s for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -3*d - 1. What are the prime factors of a(-8)?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 5 - 2. Let y(m) be the first derivative of -m**4\/4 + 4*m**3\/3 - m - 2. What is the units digit of y(o)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is nine tenths of a millennium in months?\nAnswer: 10800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.0299 and -2681.76975.\nAnswer: -2681.79965","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -11951.76 rounded to the nearest one thousand?\nAnswer: -12000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a**(-6)*a\/(a\/a**(-4\/5))*(a**(-2\/21)\/a)\/a**(4\/3) assuming a is positive.\nAnswer: a**(-323\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-24)\/(-15) + (-1416)\/960. Which is the fifth biggest value? (a) 0.1 (b) 0.08 (c) h (d) -6 (e) -8\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -44*l - 41*l = -1350905. Is l a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2607.61512 + -587.7?\nAnswer: -3195.31512","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (18\/18)\/(4\/(-10))*-2.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 196 and 28?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -2933 from 0.4.\nAnswer: 2933.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -12.66842848 rounded to two decimal places?\nAnswer: -12.67","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: ((-9)\/(-4))\/(276\/2024)*-4\nAnswer: -66","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -16, -4, 0, -1, -7 in ascending order.\nAnswer: -16, -7, -4, -1, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = 28*i - 89. Determine w(3).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*h + 333 - 69. What is the highest common factor of 33 and h?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1*((-22)\/(-8) - -1). Let i(y) be the first derivative of 0*y**3 + 0*y + y**2 - 6 - u*y**4. What is the second derivative of i(p) wrt p?\nAnswer: -90*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 347977 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 4\/(-6) + (-44)\/6. Let h = 40 - 27. Let i = -12 + h. Is i < o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 2\/4 - (7 - 6). Suppose -y = -2*p - 8, y + 5*p + 20 = 3*y. Are u and y unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.147016639 rounded to five decimal places?\nAnswer: -0.14702","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (21*d - 19*d + 70*d)*(d**2 - d**2 + d**2) + (-6 + 4 + 0)*(-2*d + 2*d - 2*d**3) to the form x + l*d + o*d**2 + w*d**3 and give w.\nAnswer: 76","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = 22*s**2 - 8 - 3*s + 2 - 15. Is 13 a factor of c(-4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (1 - 3)\/(2 + 360\/(-178)). Let z = i + -14. Does 10 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -126*i - 9695 = -37*i - 295118. What is the units digit of i?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*p = -2*m + 37 + 23, 4*m - 2*p = 176. Suppose -4*i = -5*i + 8. What is the remainder when m is divided by i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) be the third derivative of 505*d**5\/12 - 2*d**2 - 2*d - 526. Let z(u) = -9*u**2. Give z(r(g)).\nAnswer: -57380625*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -430 + 723. Is p a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*b**2 - b**2 - 2*b - b**2)*(-b + 0 + 0) + (-3*b**3 + 5*b**3 - 5*b**3)*(3 + 12 - 7).\nAnswer: -22*b**3 + 2*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -47613 - -8313. Round q to the nearest ten thousand.\nAnswer: -40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 18115860 to the nearest integer?\nAnswer: 4256","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33*q - 13658 = 12544. List the prime factors of q.\nAnswer: 2, 397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.1, -10.29, -0.4, 23, 18 in decreasing order.\nAnswer: 23, 18, 0.1, -0.4, -10.29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 4 + 1)*(105465 + 55*i - 105465).\nAnswer: 55*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -28501 - -28506. Solve 0 = 5053*p - 5058*p + s for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 119 is divided by 9?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d, 1 b, and 2 l when four letters picked without replacement from {s: 2, d: 2, j: 2, b: 1, o: 3, l: 2}.\nAnswer: 2\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-9635)\/(-564))\/(-41)*2*3\/(-15).\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-3\/10)\/(((j**(2\/17)*j)\/j)\/j))\/(j\/j**(-1\/17))**(-29) assuming j is positive.\nAnswer: j**(5319\/170)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 9 - 8. Let y = -5603334 + 5603335.0000004. Let s = m - y. Round s to 7 dps.\nAnswer: -0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1014240728 to the nearest integer?\nAnswer: 31847","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 25 - 7a9?\nAnswer: -784","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-9)\/3 - (-5 - 2))*2. List the prime factors of j\/(-2)*(-736)\/64.\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6 - 2 + 3)*(-48*a**2 - 18*a**2 + 12*a**2) + 103*a**2 - 47*a**2 + 49*a**2.\nAnswer: -273*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Are -10140 and -0.04 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 4 + 66\/3 + -4. Let n(u) = 4*u + 7. Let j(x) be the third derivative of -x**4\/24 - x**3\/3 + 121*x**2. Give s*j(b) + 6*n(b).\nAnswer: 2*b - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = 5*w. Let g(b) = 10*b - 3. Let d be g(2). Suppose d*c - 64 = 13*c. Let x(i) = -2*i**2 - c + 16. Determine x(k(a)).\nAnswer: -50*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 20749 divided by 6.\nAnswer: 20749\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -2*v**3 - 2*v**3 + 2*v**3 + 2*v**2 + v. Let n be p(-1). What is the remainder when 23 is divided by 1\/(n*(-1)\/(-24))?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-2)\/4)\/(1\/(-4)). Suppose 0 = -5*i - 25, 0 = -4*r + x*i + 7 + 15. What is the units digit of r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*w + 203 = -2*b, -403*b + 5*w = -728*b - 1625 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 547608 and 25?\nAnswer: 13690200","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*((sqrt(960) - (sqrt(960) - (sqrt(960) - (sqrt(960) + sqrt(960) + -1*sqrt(960)*1 + sqrt(960)))))*-2)\/((-2*sqrt(972)*5 + sqrt(972))*-4).\nAnswer: 8*sqrt(5)\/81","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 6*-1*(-3)\/(1 - -5). Suppose x*a - 15 = 8*a. Let g be (-4 - -3 - 0)\/(-1). Sort a, -19, g.\nAnswer: -19, a, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = 63*m**3 + 2*m**2 - m - 2. What is k(-1)?\nAnswer: -62","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = 4*j**2 + 24*j. Let h be 32\/6 + (-1)\/3. Suppose h*d - 50 = 5*w, 0 = 2*w + 5*d - 0*d + 48. Let y(c) = c**2 + 5*c. Give w*y(a) + 3*r(a).\nAnswer: -2*a**2 + 2*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -4 - -4. Suppose 2*w = -n*w - 6. Is -3 equal to w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 5178 and 4.\nAnswer: 10356","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 15645 - -0.724\nAnswer: 15645.724","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 61*f**4 - 58 - 128*f**4 + 71*f**4 wrt f?\nAnswer: 16*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 379571.1 to the nearest 1000.\nAnswer: 380000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -x. Let u be 1\/((-1)\/9*-3). Suppose -u*h - 6 = -5*h. Suppose 0 = i + 5*f - 9 - 9, h*i = -5*f + 14. Let b(q) = 3*q. Give i*t(r) - b(r).\nAnswer: -r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) be the second derivative of a**4\/12 + a**3\/6 - a**2\/2 + 26*a. What is g(0)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 188217654 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 19.2 * 14963.2\nAnswer: 287293.44","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 1 + 1)*(-s + 3 + 2*s - 1).\nAnswer: -s - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + ((2*sqrt(550)*4)\/sqrt(10)*1)\/(3*sqrt(275)*1 + sqrt(275) + -6*(sqrt(275)*2 - sqrt(275)) + sqrt(275)).\nAnswer: -8*sqrt(5)\/5 + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 59*z - 4*a + 114 = -3*a, -3*z - 351 + 329 = 4*a for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 6327758 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 70 and 512204.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2.15395 + -0.04605. Sort -24, i, -0.4 in ascending order.\nAnswer: -24, i, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -380 from -750.2.\nAnswer: -370.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -u + 3*w, -2*w + 9 = 4*u - 17. Suppose -4*c + 18 + 98 = u*s, 36 = 2*s - c. What is the remainder when s is divided by 7?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 17523288 to the nearest integer?\nAnswer: 4186","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: Sort 234, -5, -1709.\nAnswer: -1709, -5, 234","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -195*w - 219*w + 389*w + 1375 = 0. Solve 0 = w*b - 50*b + 15 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -151\/5076 and 46\/447957.\nAnswer: 1791828","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = 4*i + 4. Let k = -29 - -35. Let z(c) = 5*c + 5. Give k*w(q) - 5*z(q).\nAnswer: -q - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 681 minutes after 1:22 PM?\nAnswer: 12:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*m = 7*m + 2176. What is the highest common factor of m and 153?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0 - 4 + 2)*(-6 + 6 + 50*u) - 3*u - 2*u + 7*u)*(0*u - 5*u + 3*u).\nAnswer: 196*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put 371, 3, -8 in descending order.\nAnswer: 371, 3, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 438 or 3?\nAnswer: 438","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2*-6*(-1)\/4. Let s = 48802 + -48802. Solve -a - 7 + l = s for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u + 20 = 4*d, d + 20 = 4*u - 3*d. Suppose -2*r - 30 = -5*q, -2*r = -5*r - 5*q + u. Does 12 divide ((-185)\/(-25))\/((-1)\/r)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*b + 10*b - 20*b - 54 + 6*b to a + d*b and give d.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 7252 and 70.\nAnswer: 36260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.2? (a) 0.5 (b) -2\/9 (c) 5 (d) -39\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 22\/(-77) + (-3)\/(-7). Sort -2\/35, -5, 0.5, h in descending order.\nAnswer: 0.5, h, -2\/35, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pluz when four letters picked without replacement from fuszpzl?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) be the first derivative of -y**8\/448 - y**7\/280 + y**6\/80 - 7*y**2\/2 - 8. Let g(u) be the second derivative of m(u). Factor g(s).\nAnswer: -3*s**3*(s - 1)*(s + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1087.5 + 123.5. Let i = t - -963.9998182. What is i rounded to five decimal places?\nAnswer: -0.00018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xccccziczd. What is prob of sequence czc?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t = 77 - 757. Calculate the remainder when t is divided by 42.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uyuwmva. What is prob of picking 1 v, 1 w, and 1 m?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -6 + 11. Let s = 0.19 - 1.09. Let a = 0.7 + s. Sort 3, a, x in descending order.\nAnswer: x, 3, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 22, -293, -1148, -2813, -5558, -9653?\nAnswer: -15368","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*v - 4*u - 122 + 146 = 0, 3*u + 114 = 63*v for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -21 - 1. Let r(o) = -o - 1. Suppose 2*g - y = 7 - 2, -4*g + 4 = 4*y. Let c(j) = -j**2 - 11*j - 11. Calculate g*c(x) + z*r(x).\nAnswer: -2*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -10*t - 5. Let q(k) = 41*k + 20. Determine -22*p(m) - 6*q(m).\nAnswer: -26*m - 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) be the third derivative of y**6\/120 - y**5\/10 + 7*y**4\/24 - y**3 - 201*y**2. Let b(h) = 2*h - 4*h - 3 - 2. Let c be b(-5). Give z(c).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -5*n**2 - 9*n + 1. Let u(x) = -3*x + 2*x**2 - 5*x**2 - 5*x - x**2. Let b(c) = -3*o(c) + 4*u(c). Let g be b(-4). Solve -r + g = 2 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/(-4)*-4*(868091\/214)\/133.\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -2 - 7\/(7\/(-6)). Suppose -o = -3*d + 5. Suppose -15 = -d*h + 5*p + 2, -4*p = h. Solve -3*v - v = -h for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(sqrt(117) - (-3 + sqrt(117) + -2)))**2*-6.\nAnswer: -1350","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1280\/(-336))\/(-10) - 2\/21.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let 6*f**5 + 26*f**4 + 22*f**3 - 10*f**2 - 12*f = 0. What is f?\nAnswer: -3, -1, 0, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 7745 or 487957\/63?\nAnswer: 7745","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -20413 - -20414. What is the nearest to -37 in a, 0, 2\/17, 3\/5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from lvvvvvllvlvvvv. What is prob of sequence vvv?\nAnswer: 30\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -10 + 4. Let a(x) = x + 18. Suppose 0*u = 2*u - 12. Calculate the least common multiple of u and a(b).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0\/(-2)*24\/120?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1630, -6839, -16058, -29719, -48254, -72095, -101674, -137423?\nAnswer: -179774","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -19 - -20. Let h = -3 - -6. Let l = -2 - -2. What is the closest to l in h, 0.1, k?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*p - 0*p. Suppose 5*t - 7 + 27 = 0. Sort t, p, -6 in descending order.\nAnswer: p, t, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-13)\/117*(-2)\/2.\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -212*b - 126*b + 595 = 8369 for b.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 2 - 3 - (2 - 0). Let w(h) = 3*h - 2*h**2 + 4 + 6*h**2 - h. List the prime factors of w(d).\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 54 divide 313369?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s - 135 = z, 0 = -2*z + 13*s - 8*s - 342. What is the closest to 0 in -2\/3, -3, z?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(1\/3)*f**(5\/2))**(4\/15)\/((f**(-2\/3)\/f**(-3\/7))\/((f**(-6)*f)\/f**6)) assuming f is positive.\nAnswer: f**(-3152\/315)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-2)\/4)\/(48\/96))\/((-10)\/110).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -354263 (base 9) to base 13.\nAnswer: -75cb4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -1\/2, -0.2, -0.07, 2\/5?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -2*i + 2. Let j(p) = p. Let u be (-2 + 2 + 0)\/2. Suppose -t + 5*d = -u + 18, 0 = t + 4*d - 9. Determine t*j(r) - f(r).\nAnswer: -r - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s + 44 = -4*m, -m = 8*s - 3*s - 61. Let b be (-2)\/7 + s\/42. Solve r + b*r = -3 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) be the first derivative of -16*y**2 - 97*y - 45. Is s(-17) a multiple of 33?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find p such that -3*p**5 - 9*p**4 + 12*p**2 = 0.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 84 and 15132831?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 15 - 4. Suppose 4*m - 2*m - 188 = 0. Suppose m = 2*t + 28. Calculate the highest common divisor of t and o.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-132)\/(-330))\/(2\/14635) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -21*c + 15. Let r be a(-7). Let h = -98 + r. Suppose -q - q + h = 5*g, -44 = -4*g - 4*q. What is the highest common divisor of g and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6334 times -5\nAnswer: 31670","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 4\/58 - 1520\/(-9918). Let o be (-4)\/14 - 22\/(-77). Suppose v + 3*w = -10, v + 9 = -o*v - 2*w. What is the third smallest value in 5, z, v?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -p**3 - 159177*p**2 + 79592*p**2 + 79525*p**2.\nAnswer: -p**3 - 60*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2587753 + -2587740.999928. Let q = -12 + x. Round q to 5 decimal places.\nAnswer: 0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) be the second derivative of 0 + 0*w**6 + 1\/42*w**7 + 0*w**3 - 1\/4*w**4 + 0*w**2 + 0*w**5 - 2*w. What is the third derivative of k(g) wrt g?\nAnswer: 60*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5650 is divided by 171.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1105?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (-2 + -3 + sqrt(10)\/sqrt(2) + sqrt(5))**2.\nAnswer: -20*sqrt(5) + 47","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4411671?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-19)\/((-228)\/8)*13*18\/24.\nAnswer: 13\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1518?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.296297 centuries to millennia.\nAnswer: 0.0296297","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1068607 and 8559?\nAnswer: 317","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/(-6) + 143\/(-33).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*z - 6*z - 2*z + 10*z.\nAnswer: -3*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 19392?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 23432?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3098, 12752, 28972, 51770, 81158, 117148, 159752, 208982?\nAnswer: 264850","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -866, -3352, -7428, -13040, -20134?\n\"Answer: 9*v**3 - 849*v**2 - 2*v - 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -64.531 + -3.409. Let t = -111.9 - i. Let u = t + 44. Which is smaller: 1 or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y = -5*y + 54. What is the highest common factor of y and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 378 divided by 1?\nAnswer: 378","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1292 and 859826.\nAnswer: 646","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 13 and 95885309?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is -353 equal to -352?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -2*c - 29*c - 60 + 2*c**2 + 20*c. Let u be m(9). Solve 0 = -u*p + 6*p + 9 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -3*p + 2. Let v(c) = c. Let t(w) = 3*w - 3. Suppose -y - 1 = -0. Let x(s) = y*v(s) - t(s). Let f = -4350 + 4347. Determine f*m(o) + 2*x(o).\nAnswer: o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -l + 14. Let g(k) = 1. Let c(j) = -3*g(j) + o(j). Let n be c(7). Differentiate -2*t**3 + 3 - n + 0*t**3 wrt t.\nAnswer: -6*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -21, -50769\/7, -0.31 in increasing order.\nAnswer: -50769\/7, -21, -0.31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = 2*f**3 + 44*f**2 - 136*f + 145. Is o(15) a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 363155740 a multiple of 230?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 26\/(-91) + 220\/(-63) and 34?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 125 times 1.1?\nAnswer: 137.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) be the second derivative of 0*z**3 + 0 + 0*z**2 + 3*z + 7\/2*z**4. Let f(n) = 6*n**2. What is i(f(o))?\nAnswer: 1512*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -23*z**3 - 98*z**2 + 1798*z wrt z.\nAnswer: -138*z - 196","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 48?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -2\/75 (b) -3\/2 (c) 14528\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/13, -1\/1087, -2, 2, 3.\nAnswer: -2, -2\/13, -1\/1087, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -10757, -21731, -32705, -43679?\nAnswer: -54653","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) be the first derivative of -q**2\/2 - 8*q + 6. Let t be a(-8). Let n = 14 - 9. Solve -n = -t*d + d for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -149*h**2 + 80*h**2 + 62*h**2 + 2*h**2 + h**2 - 5*h**2 + 4*h**2 + h**2 - 3*h**2 - 2*h**2 - 3*h**2 + 3*h**2 + (-3*h - 3*h + 4*h)*(0*h - h + 3*h).\nAnswer: -13*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 15512 - 1246. What is the hundreds digit of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -91476115*u**3 + 1237*u**2 + 2768*u + 2.\nAnswer: -548856690","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -a**2 - 5*a - 1. Determine t(-2).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-1)\/(-3))\/((-10)\/6). Which is bigger: b or -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 36\/18*12\/(-8).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 76810 and 53767.\nAnswer: 537670","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 81*k**3 + 82*k**3 + 83*k**3 - 247*k**3.\nAnswer: -k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 407248829.\nAnswer: 13, 31, 43, 71, 331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 2 + 2)*((0 - 1 + 4)*(4*r + 0*r - 6*r) + 55*r - 128*r + 61*r).\nAnswer: -18*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0 - 3 + 2)*(0 + 0 - j) - 2*j + 0*j + 3*j + 2*j - 5 + 5 + 22*j - 2947 + 2947)*(5 + 2*j - 5).\nAnswer: 52*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 8309 to the power of 1\/2, to the nearest integer?\nAnswer: 91","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -42948, -86147, -129346, -172545?\nAnswer: -215744","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18*b**3 + 2*b**2 + 4*b**3 - 2*b**2.\nAnswer: -14*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 7576 > 7576?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -324537, 0.5, -0.133?\nAnswer: -0.133","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 18\/(-21)*(-84)\/18. Suppose i*c = -c + 25. Suppose -5*o - w - 3*w = -60, -4*o - c*w = -57. Sort 1\/2, -4, o in increasing order.\nAnswer: -4, 1\/2, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -64 - (58 + -164) - -16?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ayay when four letters picked without replacement from aybybbaby.\nAnswer: 1\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d = -5*p - 23, -5*p + 3*p = 2*d + 10. Let b be 6*(-4)\/(d + -7). Let f = b - -100. Calculate the remainder when f is divided by 26.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d\/d**(1\/2))**(-39\/4)\/(d**(2\/19)*(d**(-1)*d)\/d) assuming d is positive.\nAnswer: d**(-605\/152)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -4*q - 12. Let m(p) = -p + 7. Let h be m(5). Suppose j - 30 = -2*t, 2*t - h*j + 1 - 43 = q. What is the remainder when 48 is divided by t?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1260\/17? (a) 2\/15 (b) -2\/7 (c) 1\/5 (d) -4\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 18122490 a multiple of 366?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 19*h + 2271 - 4482 + 1888 for h.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 102*z - 67*z = 546700. What are the prime factors of z?\nAnswer: 2, 5, 11, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p - 13 = -1. Suppose -5 = -2*i + p. Suppose -n + 5*y = -5*n + 24, 5*n - i*y = 30. What is the units digit of n?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -2*h**3 + 33*h**2 - 8*h - 61. Is 252 a factor of t(-11)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = 41*t + 27*t**2 + 26 - 41*t + 89*t**3. Let d(c) = 45*c**3 + 14*c**2 + 12. Let k(w) = 13*d(w) - 6*r(w). What is the third derivative of k(y) wrt y?\nAnswer: 306","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine b, given that b**4\/2 - 739957*b**3 - 1479915*b**2\/2 = 0.\nAnswer: -1, 0, 1479915","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1330, 1668, 2006, 2344?\nAnswer: 2682","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 52, 2, -2, -687197 in decreasing order.\nAnswer: 52, 2, -2, -687197","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 4, h: 10, l: 2}. Give prob of picking 3 h.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4\/(-32))\/((11815\/(-12240))\/139).\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4061290?\nAnswer: 2, 5, 103, 3943","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**25\/(o*o**(-1\/3)*o))\/(o**(-2\/5)\/(o**(-9)\/o)) assuming o is positive.\nAnswer: o**(206\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 969 and 86013285.\nAnswer: 969","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3*v**4 - 4*v + 173 - 9*v**4 + 160 - 110 - 6*v**5 - 2*v**4 wrt v?\nAnswer: -120*v**3 - 168*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -189443, -757791, -1705051, -3031235, -4736355, -6820423?\nAnswer: -9283451","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*l - 4*j - 8 = 0, 4*j + 77 = -257*l + 284*l for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 250 - 110. Let n be ((-2)\/(-26))\/((-7)\/m). Let v = -59 - -56. Is v equal to n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = 7*w**2 - 14*w - 55. Give a(6).\nAnswer: 113","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 17086005?\nAnswer: 3, 5, 67, 1889","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 18 in 1\/2, -39, 9, -2\/9?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + ((sqrt(1088) + 2 + sqrt(1088))*6 - (sqrt(1088) + (3 + sqrt(1088))*-1)))**2.\nAnswer: 2496*sqrt(17) + 156841","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -j - y - 2469, -217*y - 2483 = j - 218*y. Do j and -2476 have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 0 + -3 + (940 - -59)?\nAnswer: 2, 3, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 87.793 - -0.207. Let b = 1065454.9926 + -1065543. Let w = k + b. Round w to three dps.\nAnswer: -0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.65069332 + -32562?\nAnswer: -32561.34930668","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*v**5 + 28*v**4 - 22*v**3 - 840*v**2 + 1800*v.\nAnswer: 2*v*(v - 3)**2*(v + 10)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-seven fifths of a century in years?\nAnswer: 740","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/2? (a) 0 (b) 226 (c) 2 (d) 0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -w**3 - 4*w**2 + 5*w - 8. Suppose 5 = -p, -2*c = -4*c - 2*p - 20. Let n be l(c). Let i be (-39)\/130*n\/18. Is i equal to -0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.03175 times -0.05?\nAnswer: 0.0015875","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 2, y: 2, q: 1, h: 2, l: 1}. What is prob of picking 1 q, 1 y, and 1 l?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -0.32 (b) 2\/7 (c) -37 (d) -4 (e) -0.3 (f) -3\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*u - 825*c = -821*c - 60, -3*c = 3*u - 39 for u.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-34)\/(-24) - 2\/3. Suppose -10*x + 12*x - 612 = 0. Let a be 2\/9 + (-527)\/x. Put a, 0.3, g in descending order.\nAnswer: g, 0.3, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 733 - 657. What is the remainder when 293 is divided by b?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (5 + 13 + 7)*(53*o**2 + 25*o**2 + 13*o**2)*(-4*o**2 + 3*o**2 - 2*o**2) as m*o**2 + k*o**3 + j + q*o**4 + r*o and give q.\nAnswer: -6825","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -0.3697072 times -0.1\nAnswer: 0.03697072","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 13374 to the power of 1\/2, to the nearest integer?\nAnswer: 116","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1301 + 12?\nAnswer: 1313","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -49 = -2*o + 31. What is the remainder when o is divided by 15?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 25\/2 of a millimeter?\nAnswer: 12500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.14 + 0.29. Let w = -0.4 + -0.04. Let y = p + w. What is the third smallest value in y, 2\/9, -3\/8?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((q**14*q**45)**(-45))**(-4))**27 assuming q is positive.\nAnswer: q**286740","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 2\/859 (b) 253 (c) -3\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 134*i**6 - 25*i**2 - 6?\nAnswer: 16080*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*n**5\/17 - 32*n**4\/17 - 254*n**3\/17 - 16*n**2 + 120*n\/17 = 0.\nAnswer: -3, -2, 0, 1\/3, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 116845 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: Collect the terms in -474*q - 163*q - 254*q + 86*q - 1.\nAnswer: -805*q - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v + 15 = -5*o, -v - 4*o = -2*o. Let c(y) be the second derivative of y**3\/6 + y**2 - 1602*y. What is c(v)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -23, -1\/44623, -3\/17?\nAnswer: -3\/17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*y = -3*y. Suppose y = 2*f - 4 - 6. Let n be 8\/(-10)*15\/3. Sort n, f, -5.\nAnswer: -5, n, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = m**2 + 36*m + 44. Give j(-34).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*r - 3*r = -2*x - 6, -4 = -2*r. Let u(h) = -h - 4. Let y be u(x). Let a(c) = y + 3 + c**3 - 5 - c**2. What is a(1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 254 minutes after 8:36 AM?\nAnswer: 12:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = 3574*a + 17957. What is o(-5)?\nAnswer: 87","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 10101121221 (base 3) to base 14\nAnswer: 1a4b2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*c - 11 = 24 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 38*t - 105 + 29 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-9)\/6)\/3*(2 + -4).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2099, -3233, -4369, -5507, -6647, -7789, -8933?\nAnswer: -10079","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1333012354.\nAnswer: 2, 5441, 122497","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -5334436 + 5599978.3. Let i = z - 265541.90000032. Let a = i + -0.4. Round a to 7 decimal places.\nAnswer: -0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 g and 1 d when three letters picked without replacement from {m: 1, d: 2, l: 1, e: 1, g: 2, y: 2}.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 33 times -0.9?\nAnswer: -29.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(60)\/(4*sqrt(48)) + ((sqrt(245) + -1 - sqrt(245))*-6)**2.\nAnswer: sqrt(5)\/8 + 36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -72*0.07190606.\nAnswer: -5.17723632","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = 265*a**2 + 36*a**2 + 145*a**2 - 39*a**2. Let t(d) = -2*d**2. Give p(t(o)).\nAnswer: 1628*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fvff when four letters picked without replacement from {v: 6, f: 7}.\nAnswer: 21\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1, 3\/7, 0.04?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c - 15 = 3*p - 0*p, -p + 3 = 0. Suppose -r + 5*r - 82 = v, -3*v = -c. List the prime factors of r.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t**3\/11 + 156*t**2 + 364626*t\/11 - 1486088\/11 = 0. What is t?\nAnswer: -431, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2 or 1\/251?\nAnswer: 1\/251","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -j**3 - 12*j**2 + 11*j - 18. Let o be z(-13). Suppose -5*d - 126 = -o*d. What is the units digit of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3692286.37 rounded to the nearest one hundred thousand?\nAnswer: -3700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 5745027569 to the power of 1\/2, to the nearest integer?\nAnswer: 75796","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -4\/7 in -2, 3\/8, -2\/19325?\nAnswer: -2\/19325","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = 29*z + 27. Let b(o) = 7*o + 7. Let d(v) = 9*b(v) - 2*g(v). What is d(-6)?\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 95318019?\nAnswer: 3, 67, 52691","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 7014 and 2338.\nAnswer: 7014","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -6*b**3 - 172*b**2 - 111*b - 7. Calculate w(-28).\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -7*(-7)\/(-14)*(176\/(-14))\/4?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 25 divide 8104981?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 47563295 to the power of 1\/3, to the nearest integer?\nAnswer: 362","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 1326373 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f - 40 = -c, c + 3*c = -6*f + 232. Calculate the highest common divisor of 80 and f.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence iggi when four letters picked without replacement from vgiiiievg.\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*i*q*y**2 - 4*i*q + 2*i + 2*q - 2*y**2 + 356 wrt q.\nAnswer: -2*i*y**2 - 4*i + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 38066729 is divided by 6618?\nAnswer: 6611","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = n**2 - n - 3. Let b(k) = k**2 + 7*k + 2. Let c be b(5). Let g = -56 + c. Suppose -g*q = 2*q. Determine f(q).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/(-4))\/(-2 + -3 + 10).\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -12b3a (base 15) in base 13?\nAnswer: -21361","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k - 2*g + 6*g + 2 = 0, 22 = 2*k - 2*g. Suppose k*x = -3931 - 3221. Let w = -111 - x. Is w a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2228 * -942.5.\nAnswer: -2099890","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert -5 (base 7) to base 6.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -i**2 - i. Let s(l) = -7*l**2 - 4*l - 2. Let r = 20 + -19. Determine r*s(n) - 5*u(n).\nAnswer: -2*n**2 + n - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-11)\/((-44)\/180) - -1.\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5255843 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = b**3 + 10*b**2 + 11*b + 8. Let x be i(-9). Which is bigger: x or -8?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y - 31 = y - 4*z, -3*z + 15 = -y. Let h(f) = f**3 + 4*f**2 + f - 2. Let i be h(y). Let r = i - 1. Solve -t + 4 = -2*s, -6*s - 32 = -r*s + 5*t for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5832 is divided by 117.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 467 minutes after 10:14 AM?\nAnswer: 6:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4 + 3242*p**2 + 7435*p**2 - 4 - 9757*p**2.\nAnswer: 920*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -133*k**2 - 661*k - k**3 + 133*k**2 - 854*k + 328*k to the form l + q*k**3 + j*k**2 + c*k and give j.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 5244 + -36706\/7. Let z(t) be the first derivative of -7 + 0*t + 0*t**4 + 6\/35*t**5 + 1\/14*t**6 - n*t**3 - 3\/14*t**2. Factor z(u).\nAnswer: 3*u*(u - 1)*(u + 1)**3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1425 + 1180. Sort h, 1, -5.\nAnswer: h, -5, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 37653938?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = 4*w - w. Suppose -w*h + 10 = -125. Calculate the greatest common divisor of h and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r + 18 = -3*g, 77*g + 6 = 3*r + 74*g. Solve -23*l + 26*l = -r for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f and 1 z when two letters picked without replacement from fdtzdfddffddd?\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -459*b = 456*b + 3660 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -143*o**2 - o**2 + 266639853 - 266639853.\nAnswer: -144*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -5*b**2 - 2200*b - 38074. What is d(-18)?\nAnswer: -94","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 divided by -218.\nAnswer: 1\/218","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3.7148 - -0.2852. Suppose -x = 2*h - 13, -4*h + 0*h = 5*x - 59. Suppose -5*m - x = 3*o - o, -3*m = o + 7. What is the closest to 4 in 0, f, o?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -r**3 - 3*r**2 + 5*r - 1. Let a be m(-4). Let z(b) = -b**3 - 6*b**2 - 7*b - 5. Let d be z(a). Suppose -157 + 12 = -d*x. Does 17 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(102)\/(sqrt(2)*1))\/(sqrt(6)\/(sqrt(8)\/sqrt(4))).\nAnswer: sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 247b04 (base 12) to base 13.\nAnswer: 17a66a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 83888 and 21400?\nAnswer: 856","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*r**5 - 32316*r**4 + 246201*r**3 - 577110*r**2 + 311436*r + 233496 = 0. What is r?\nAnswer: -2162, -2\/5, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1 - -2051?\nAnswer: 2052","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((v*v\/(v*(v*v*v**(2\/5))\/v*v))**(-9))**(-1\/9))**21 assuming v is positive.\nAnswer: v**(-147\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/3 in 0.02, 2.6, 2\/17, 0.2, -2?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -u + 2*u + 2*m + 15, -2*u = 5*m + 30. What are the prime factors of (0 + -3)*(u - -4)?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = n**2 + 13*n - 135. Let g be x(-43). Suppose -u - g = -1175. Calculate the greatest common divisor of 260 and u.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*b = -5*q + 4*q - 21, 3*b = 15 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -279 = 69*u + 24*u for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (u - 3 + 3)*(0 - 4 + 3)*(6 - 36 - 86)*(6*u + 3*u + 6*u) to t*u + g + v*u**2 and give v.\nAnswer: 1740","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 22120210 - 3020?\nAnswer: 22111130","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 i when three letters picked without replacement from {b: 11, i: 5}?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 30 - 23. Calculate the greatest common factor of c and 14.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**10\/b*b)\/((b\/b**(-1\/4))\/b)*((b*b\/(b*b**(2\/5)*b*b)*b*b)\/b)**(-3\/38) assuming b is positive.\nAnswer: b**(3717\/380)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 4\/(-16)*-4*-3. What is the units digit of 5\/15 + (-14)\/p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = 2*g - 9. Let c be d(6). Let j = 16 + -14. Is j <= c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = 23235*p. Let t(y) = 295*y. Determine t(r(d)).\nAnswer: 6854325*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -23 + 8*k + 3*k + 10*k + 35 - 3*k - 4*k.\nAnswer: 14*k + 12","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express 90252296 - 90252296 - 1907*s + 11923*s in the form h*s + y and give h.\nAnswer: 10016","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = k**3 + 11*k**2 + 9*k + 5. What is the remainder when 43 is divided by f(-10)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/(-2)*(-5)\/((-15)\/(-12))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:34 AM and 8:05 PM?\nAnswer: 691","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3 take away 1286?\nAnswer: -1285.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q = 2, -f + 4*q - 33 + 83 = 0. What is the units digit of f?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = 2*t**2 + t**2 + 6 - 4*t**2 + 119*t - 121*t. Let v be f(0). Solve -3*q - q + 5 = 3*z, 0 = -2*z - 4*q + v for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 83935?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -2*l**3 - 7*l**2 + l + 4. Let k(g) = -g**3 + 1. Let c(d) = -3*k(d) + s(d). Let m be c(7). Determine o so that -2 + m*o - 8*o**2 + o**2 + o**2 = 0.\nAnswer: 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.14 - 22971\nAnswer: -22970.86","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.16 and -6369?\nAnswer: -1019.04","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*u = -3*r - 38, -2*u - 2*r = 237 - 235 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-6)\/44)\/((-472)\/(-118)*(-3)\/(-16)).\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3586385657?\nAnswer: 3586385657","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -6*d + 2. Let b = 13 - 8. Let p(r) = 838 - r - 838. Suppose 25*v - 24*v + 3*q = -7, 0 = 3*v + 10*q + 23. Give b*p(i) + v*s(i).\nAnswer: i - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**(-1)\/a)\/a)\/a**12*a**(-13\/2)\/a**(-2\/27) assuming a is positive.\nAnswer: a**(-1157\/54)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 9, s: 6, x: 4}. Give prob of sequence mx.\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) be the first derivative of k**3\/3 - 6*k - 3. Calculate i(0).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -98737 + 25a?\nAnswer: -98488","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 99*v + 6 = 101*v for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.2 - -0.064. Round u to 2 decimal places.\nAnswer: -0.14","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s - 88 = -628. Let b be ((-16)\/(-6) + -2)*18. Calculate the greatest common divisor of s and b.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 265 minutes before 12:20 PM?\nAnswer: 7:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/641 at least as big as 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bf when two letters picked without replacement from hfhehehhbffeb?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*t - 39*t = -5*t + 544 for t.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is -110 < -133?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-1)\/(-3)*(10 + -1). Let m = 7 - s. Determine g so that -2*g**3 + g**2 + g**4 - 4 + m = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = 2*q**3 - q + 1. What are the prime factors of x(2)?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3.62 - 3.53. Let r = f + -0.0900452. Round r to six decimal places.\nAnswer: -0.000045","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2736 is divided by 24.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 69443?\nAnswer: 11, 59, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -733 - -736. Solve 4*n + 3 = n, -h*d - 3*n = 18 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = 51*f**2 - 3135*f + 3. Determine g(62).\nAnswer: 1677","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) be the first derivative of 0*g + 30*g**2 + 55\/3*g**3 - 5\/4*g**4 - 45. Factor f(v).\nAnswer: -5*v*(v - 12)*(v + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -404 + 404. Let g = 1 - -5. Differentiate 0*v**4 + 10*v**4 + 5*v**4 + a - g wrt v.\nAnswer: 60*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -276 = 13*z + 8*z - 1641. Which is the third smallest value? (a) -4 (b) 0.1 (c) 4\/3 (d) 3\/4 (e) z\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 516?\nAnswer: 2, 3, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w = 4*w + 12. Let l be (2 + 1)*(-4)\/w. Suppose -1 = -z - l. Put z, -4, 5 in ascending order.\nAnswer: -4, z, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u + 2*g = 463, -4*u + 443 = u - 3*g. Suppose u - 6 = 5*v. Suppose 2*t = 4*a - 44, -3*a + 15 = -t - v. Calculate the remainder when 27 is divided by a.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -834*i + 836*i - 296. What is the remainder when i is divided by 33?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s + 1960 = -g, 4*s + 2475 = 9*s + 5*g. What are the prime factors of s?\nAnswer: 491","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -v**3 - 4*v**2 + 1. Let l(k) = -4*k**2 + k. Let p(x) = 3*l(x) - 2*y(x). Let t be p(2). Solve -t*s + 4 = -3*s for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.1 and 1.35.\nAnswer: 0.135","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 1274016 to the power of 1\/3, to the nearest integer?\nAnswer: 108","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 13518, 27068, 40612, 54150, 67682?\n\"Answer: -3*l**2 + 13559*l - 38","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4 times -852.271?\nAnswer: -340.9084","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1255681 divided by 6.\nAnswer: 1255681\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3982 * -0.04.\nAnswer: -159.28","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-2 + 21)*(3 - 2). Suppose 0 = v*o - 13*o - 2928. Is o a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000001114867 rounded to seven decimal places?\nAnswer: -0.0000011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 4, h: 1, s: 2}. Give prob of picking 2 s and 1 x.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.3*-39845681.\nAnswer: 11953704.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 2\/11, -1144, 0, 4\/7, 4, -0.4, -5\/6?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 100845 = -1429*a - 2048*a - 2905 - 38807 for a.\nAnswer: -41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1 times 0.0361981?\nAnswer: 0.00361981","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 5156 - 55?\nAnswer: 5101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/1823221 less than -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 718579?\nAnswer: 718579","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = 3*i - 10. Let n(z) = -z + 3. Let o(w) = 6*k(w) + 17*n(w). Let q be o(11). Is 6 at most q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = j**2 - 16*j + 18. Let q be c(15). Suppose q*r - 16 = -1. Let a(d) = 3*d + 2 + d - r*d. Give a(4).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 3557, 6550, 9547, 12548?\n\"Answer: 2*i**2 + 2987*i + 568","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let -6*y**5\/7 + 22*y**4\/7 - 30*y**3\/7 + 18*y**2\/7 - 4*y\/7 = 0. Calculate y.\nAnswer: 0, 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*c + 76 = 100 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 19\/12 + -5\/4. What is the nearest to 1\/4 in 0.4, -1, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.201 + -0.001. Let n = -235 - -236. Which is the third biggest value? (a) 4 (b) -4 (c) w (d) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ubbmmbululbb. Give prob of sequence ubm.\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 114 + -114. Let j(b) = b**2 - 13*b + 39. Let l be j(9). Sort -1\/4, u, 2, l in ascending order.\nAnswer: -1\/4, u, 2, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 183 - 178. Let l = 9 - p. Sort -0.3, 60, 2, l in decreasing order.\nAnswer: 60, l, 2, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*f - 23 + 73 for f.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Add together 17 and -7008.025.\nAnswer: -6991.025","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/(-16)*-2*1\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -4*y**2 - 23*y - 13. Determine u(-5).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3483282 + 2353883 = 18*c - 644545. Is c composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6892588897.\nAnswer: 467, 569, 25939","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 374 and 3579605.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 566 = 26*r + 462 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p - 12 = -10. Suppose 5*b + 4 = 3*b. Let i be ((-4)\/(-4))\/(b\/6). What is the closest to -0.1 in 0.3, i, p?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 81608 is divided by 1314.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1359*r - 330*r - 5843*r - 4148*r.\nAnswer: -8962*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = a**3 + a**2 + 1. Let m(c) be the first derivative of -14*c**4 + c**3 + 6*c - 2. Let q(t) = -6*b(t) + m(t). Find the third derivative of q(y) wrt y.\nAnswer: -372","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*b + 4*u + 18 + 2, -b = 3*u + 15. Suppose -5*k + y = -4, 2*k - 3*y - 2 - 10 = b. Solve k = -3*d + 2 + 7 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 145773?\nAnswer: 3, 5399","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -14845 divided by -107.\nAnswer: 14845\/107","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + 1*sqrt(11) + -5*sqrt(275))**2 - (sqrt(132) - ((sqrt(132) - sqrt(132)*-1)*-2 - sqrt(132)))\/(sqrt(12) + 2*sqrt(12)*-3).\nAnswer: -714*sqrt(11)\/5 + 6345","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 10343\/12 - 2489\/3. Which is greater: y or 32?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7026168 is divided by 30.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find k, given that 3*k**4 + 120*k**3 + 1536*k**2 + 6144*k = 0.\nAnswer: -16, -8, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p, 1 m, and 2 v when four letters picked without replacement from cpmpvjvpjppphvpppp?\nAnswer: 1\/102","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:44 AM and 8:54 AM?\nAnswer: 10","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 - -6) + -104 + 89.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h - 3*p = -909, 4*h = -3*p + p - 1236. Round h to the nearest 10.\nAnswer: -310","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 19*r - 16*r - 12 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 7289 to the nearest integer?\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*l + 2*i + 84, 0*i = -5*l - 5*i + 105. Let w be (-447)\/l*1 + 2\/(-12). Is 10\/w + (-2234)\/(-10) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2283 - 1534. Suppose 6*k = m - 143. What is the smallest common multiple of 5 and k?\nAnswer: 505","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ioccoso. Give prob of sequence cs.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (6\/9)\/(6\/720)*-1. Is 1\/((-4)\/d) - (8 - 7) a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is m in m**3\/8 + 15585*m**2\/4 + 93503*m\/8 + 31167\/4 = 0?\nAnswer: -31167, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6814?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -79\/483174 and 103\/36.\nAnswer: 966348","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 6373 a factor of 2244634330?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -60*a**3 + 12*a - 32. Let i(d) = 24*d**3 - 5*d + 13. Let v(u) = 12*i(u) + 5*y(u). Differentiate v(b) wrt b.\nAnswer: -36*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = v - 1. Let r(m) = 2*m. Let u(i) = -7. Let b(a) = -3*r(a) - u(a). Determine b(x) + 5*p(x).\nAnswer: -x + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = 83*h + 7. Let u be -3 - (-5 - (-28)\/(-7)). List the prime factors of x(u).\nAnswer: 5, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 711 - 707. Let k(a) be the second derivative of a**5\/20 - a**4\/4 + a**3\/3 + 3*a**2\/2 + a. Calculate the remainder when 105 is divided by k(r).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 21631?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = 5*q - 7, 2*q - 294 = -4*a. Suppose -2*d - d = -3*v + a, 5*d = v - 12. Let o = -37 + v. What is o rounded to zero dps?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*q - q + 0*q)*(-4 + 4 + 1)*(-2 + 3 + 1)*(-4 + 1 + 2)*(5*q**2 - 3*q**2 - 3*q**2) as d*q**2 + x*q + u*q**3 + o and give u.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w - 9*i - 35224 = -7*i, 11738 = -w + i. List the prime factors of w\/(-15) + 3 + (-4)\/6.\nAnswer: 5, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -49\/935 and -97\/1122.\nAnswer: 5610","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4 - -5) + 4 + -2.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(1728))\/(sqrt(9)*2*4) - ((sqrt(6) + sqrt(600)*2 + sqrt(600))\/sqrt(2)*3)**2) + -1.\nAnswer: -25948 + sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-2)\/(-8) - (-1)\/(-4). Let a(t) = -2*t - 8. Let l be a(-4). Is l <= b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 53682?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 964323?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -2 (b) 1323 (c) -43\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -3, 4, -4, 76 in increasing order.\nAnswer: -4, -3, 1, 4, 76","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 16\/12*(-5355)\/204.\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -175300 - 74251 = 9269*z + 3324*z + 417878 for z.\nAnswer: -53","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 60 - 16 - 26 = 3*a for a.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 11002 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p - 9 = -11. Solve d = -p*d + 3 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 703 minutes after 11:39 PM?\nAnswer: 11:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) be the second derivative of o**7\/168 - o**6\/24 - 2*o - 44. Determine f, given that p(f) = 0.\nAnswer: 0, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2 - 1. Let m(c) = 0 - r - c**2 - 2 + c. Let j = -87 + 87. What is m(j)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 12*w**5 - 9378*w**4 - 1067229*w**3\/4 - 263289*w**2\/2 - 65529*w\/4 = 0. What is w?\nAnswer: -27, -1\/4, 0, 809","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -47\/8 and 9\/10420898?\nAnswer: 41683592","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 0 + 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 35333 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -h + 256 = -35*u + 140, 0 = 126*h - u - 5798 for h.\nAnswer: 46","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Do 129\/7 and 18 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 741\/(-95) + (7 - -1).\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express 415*z - 203*z - 14 - 237*z as a + u*z and give a.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) be the first derivative of -l**2 - 10*l - 7. Let u(t) = 1. Let x(j) = -c(j) - 10*u(j). Let h(s) = s + 4*s - 2*s. What is x(h(w))?\nAnswer: 6*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 126\/(-490)*10 - ((-12)\/(-7) - 2)?\nAnswer: -16\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 38*p + 136 + 717 - 148 = -9*p for p.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find s such that -2*s**3 - 6*s**2 + 2*s + 6 = 0.\nAnswer: -3, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-10)\/4*((-12)\/(-10) + -2). Is o\/30*-5 - 1436\/(-6) a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 545280 a multiple of 143?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -435, -1658, -3709, -6594, -10319?\n\"Answer: -c**3 - 408*c**2 + 8*c - 34","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 455094 divided by -1179\nAnswer: -386","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -86 - -127. Does 2 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 11016 and 4080.\nAnswer: 110160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -121 - 430350?\nAnswer: -430501","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) be the third derivative of -13*f**4\/12 + f**3 - 3*f**2. Let j be s(-5). Suppose -3*z - 36 = -2*k + 53, -5*z = -3*k + j. Is k a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 54 divide 45078?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(-2*sqrt(5))**2 + sqrt(500) + 1 + sqrt(500).\nAnswer: -79 + 20*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 1, d: 2, g: 2, r: 8, t: 1, m: 1}. What is prob of sequence zg?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -41011 (base 5) in base 8?\nAnswer: -5107","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -33155 and 8.9?\nAnswer: -295079.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -16 - (-44 - (-2 + 4)) - -19?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 78797413?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -l**2 - 19*l + 2. Let k = -16 + 19. Suppose 12 = -n + 2*o + k, -o + 52 = -3*n. Let g be x(n). Solve g*j - 3 = 5*j for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 - 3 = 4*j, -25 = -4*g - 3*j. What is the greatest common factor of g and 112?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 347, 693, 1039, 1385, 1731, 2077?\nAnswer: 2423","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*r**2 - 46503*r - 46511*r + 139517*r - 46503*r.\nAnswer: -11*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 16\/(-6)*((-35)\/(-84))\/(-5)?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1613 to the power of 1\/2, to the nearest integer?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 64*b - 49*b - 90 = 0 for b.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -234*l = 649 + 2159 for l.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -h**3 + 5*h**2 - 8*h - 1. Let k be m(9). Let x(j) = 17*j**2 - 2*j - 4. Let i be x(-6). Let o = k + i. Is o a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 17113 and 53955?\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7 = 8*l - 39 + 142 for l.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find n, given that -n**4\/3 + 4292*n**3\/3 + 8587*n**2\/3 + 4294*n\/3 = 0.\nAnswer: -1, 0, 4294","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*b**5 - b**5 + 0*b**5 + (-3*b**2 + 3*b**2 - b**3)*(b**2 - b**2 - 3*b**2).\nAnswer: 2*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 c when four letters picked without replacement from ccqqcccc.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -4*k**3 - 5*k**2 + 5*k - 5. Let z(l) = l**2 - 4*l - 7. Let j be z(-2). Let f(y) = -1 - 2*y**2 - 3*y + y**2 - y**3 + 4*y. Calculate j*f(d) - u(d).\nAnswer: -d**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*v = -4*t - 6, 11 = 3*v - 68*t + 63*t + 1 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 522 and 4350?\nAnswer: 13050","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.1605 to 3 dps.\nAnswer: -0.161","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4547?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-10 + (-258)\/(-24))\/3. Let p = -0.2 - 0.3. Which is the nearest to f? (a) 3 (b) p (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c**5 + 306*c**4 + 8248*c**3 - 39272*c**2 - 33024*c + 152192 = 0. What is c?\nAnswer: -116, -41, -2, 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(60) + sqrt(960) + sqrt(60))\/sqrt(6))\/(sqrt(200) - sqrt(200)*-2) - (5 + ((sqrt(180) + sqrt(180) + -2)**2*-1 - sqrt(180))).\nAnswer: -209*sqrt(5)\/5 + 719","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 1, p: 3, t: 10, z: 3, e: 3}. Give prob of picking 3 e and 1 z.\nAnswer: 1\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 38.9 + -46. Let h = -7 - u. What is the third smallest value in h, -0.4, 3\/4?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*k = 3*k - 2184. Let l = -176 - k. Let h(n) = n**3 - 6*n**2 - n + 5. Determine h(l).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r - 164 = 10*u - 11*u, -2*r + 52 = -3*u. Let y = r - -159. What is the units digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17\/2 of a milligram in micrograms?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) be the second derivative of u**6\/600 - u**5\/150 - u**4\/120 + u**3\/15 + 5*u**2 + 15*u. Let i(h) be the first derivative of q(h). Factor i(j).\nAnswer: (j - 2)*(j - 1)*(j + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l + 4 = -2*f - 9, 2*f + 10 = 0. Suppose -2*r - x = -11, 3*x = r - x + 8. Solve u + r = -l*u for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 10 and 7458.\nAnswer: 37290","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20 = -5*y + 15 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k - 4 = k, -4*s - 18 = -5*k. Let p be (s\/2)\/((-1)\/5). Let r = 0 + 2. Sort -2, r, p in ascending order.\nAnswer: -2, r, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 53, 3, 11, -7940.\nAnswer: -7940, 3, 11, 53","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o = -5*o + 8. Suppose o*t - 360 = -2*t. Is t a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b and 1 z when two letters picked without replacement from {q: 6, z: 4, b: 2}.\nAnswer: 4\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 divided by 1354.\nAnswer: -2\/677","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -17 divided by -40.\nAnswer: 17\/40","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = f**2 - 7*f - 8. Let v be l(9). Let a be v\/(-2)*(9 + -10). Solve -2*c + 14 = a*g, 4*c = g + 5 + 1 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 2, -17, 108704 in decreasing order.\nAnswer: 108704, 2, -2, -17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -0.1 + -322415869028\nAnswer: -322415869028.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*f = 4*f - w - 43, 17 = 2*f - 5*w. Let h = 72.4 + -76.4. Put h, -13, f in increasing order.\nAnswer: -13, h, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = -3*f - f, 2*k = -f. Suppose -c - k = -2*c. Suppose 0*g + 2080000 = -c*g. What is g rounded to the nearest one hundred thousand?\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 4*d - 6. What is the second derivative of 4*a**2 + 4*a + a**2 - 10*a + d*a wrt a?\nAnswer: 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -31.0376 + -2.9624. Which is the nearest to -3? (a) 2\/13 (b) 0.2 (c) -1.1 (d) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*u + 2*p - 5 + 14 = 0, -p = 5*u + 8 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.5 in 22, 0, 5, -3\/8?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 484*n + 32122 = 1791*n + 2419 - 59173 for n.\nAnswer: 68","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) be the second derivative of -635*u**4\/3 + 1174*u**3\/3 - 1892*u. Find the second derivative of k(v) wrt v.\nAnswer: -5080","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -38 + 115 + -22 - -41?\nAnswer: 96","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -3*b**3 - b**2 - b - 1. Let v be y(-1). Calculate the smallest common multiple of (3 - (-2 + 1))*v and 4.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 175959 and 4410?\nAnswer: 1759590","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) be the third derivative of -g**6\/1020 + g**5\/102 + g**4\/204 - 5*g**3\/51 - 22*g**2. Factor i(f).\nAnswer: -2*(f - 5)*(f - 1)*(f + 1)\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 825708 is divided by 137615.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 45 - 37. Suppose -y*u = -9*u + 2. Let f be u\/(-8) - (-500)\/80. Solve -2*j = -4*j + f for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 270172, 270170, 270168, 270166, 270164, 270162?\n\"Answer: -2*q + 270174","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 7063d + -386?\nAnswer: 702b7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2\/2 - (0 + (1 - 10)). Let x be t\/(3 + -1 + -4). Let p = -31\/9 - -28\/9. Put x, -2\/5, p in ascending order.\nAnswer: x, -2\/5, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-99)\/(-22) + -5)*(0 - -14)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*j = -42 + 46, 2*r + 2 = 5*j for r.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -4*o. Let k(c) be the second derivative of -11*c**3\/6 - 15*c. Determine k(g(y)).\nAnswer: 44*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -1737687 - -1?\nAnswer: -1737686","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -41*c = 100036 - 312779 - 419846. What is the tens digit of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 30\/10*(-1)\/(-3). Let a(p) = 7*p**2 + 4*p + v + p**3 + 6*p**2 - 2*p**2 - 2*p**2. What are the prime factors of a(-8)?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 25\/((-250)\/(-180))*2*2\/8.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -21? (a) 11 (b) -0.16 (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 q and 1 k when three letters picked without replacement from nnnkqkkkq.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.198 times 0.146?\nAnswer: 0.174908","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (11*v - 9*v + 14*v)*(7*v**3 - 4*v**3 - 2*v - 7*v**3).\nAnswer: -64*v**4 - 32*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-22)\/(-66)*(44\/4 - 2). Solve n + 2 = 4*c - 1, -q*n + 9 = -3*c for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 4, 1.6, -325, 3, 0?\nAnswer: 1.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12786 = -29*v - 2230. What is the hundreds digit of v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-15)\/2*(-1)\/5. Let m = 933\/2 - 464. What is the nearest to o in 2, m, 7?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = 2*p. Let y(v) = 14041*v. Determine a(y(s)).\nAnswer: 28082*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 114703 is divided by 28675?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -978, 1.37, 61?\nAnswer: 1.37","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w + 12 = 2*k, -3*w - 13 = -k + w. Suppose 3 = -4*p - 13, 5*p = -2*r + 100. Suppose r = k*h - 2*h. What is the least common multiple of h and 2?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b\/b**(-2\/5))\/(b\/(b*b**4\/b*b*b)))\/(((b\/(b**(-2\/9)*b))\/b*b)\/(b\/b**(4\/7)))*((b**(-3\/5)*b*b*b*b)**(-2\/23))**(-45) assuming b is positive.\nAnswer: b**(144253\/7245)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 91370?\nAnswer: 2, 5, 9137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 576 minutes before 8:59 AM?\nAnswer: 11:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 11 - 8. Suppose -4*p + 2171*a - 11 = 2170*a, 3*p = -3*a + 18. What is the smallest value in p, d, 1.04?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3*-11416455.\nAnswer: -34249365","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.06368899145671 - -4.\nAnswer: 4.06368899145671","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*l - 4*s + 68, 0 = -5*l + 2*l - 4*s + 44. Calculate the smallest common multiple of 54 and l.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j and 1 z when two letters picked without replacement from djdzjzzzzdzzddzj?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.713 in 0.2, -0.5, -2?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = 4*x - 61. Let n(s) = 4*s - 51648. Calculate n(p(a)).\nAnswer: 16*a - 51892","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:25 PM and 1:42 AM?\nAnswer: 677","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s*s\/(s**7*s)*(s**1*s)\/s*(s**(-1\/3))**9 assuming s is positive.\nAnswer: s**(-8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 60 and 695265.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -3 divided by -333712235\nAnswer: 3\/333712235","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 91.61877 centuries in years?\nAnswer: 9161.877","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 368, 728, 1078, 1412, 1724, 2008, 2258?\n\"Answer: -j**3 + j**2 + 364*j + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -7190*q + 10867. Let a(s) = 21576*s - 32590. Let c(r) = -2*a(r) - 7*u(r). What is the derivative of c(w) wrt w?\nAnswer: 7178","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -189.42 + 189.379932. Let q = g - -0.04. Round q to 5 dps.\nAnswer: -0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -2*k + 19. Let d be s(10). Let z be 3 + (d - -2)*-3. Suppose x + z = 2. Sort x, 5, -4, 1 in ascending order.\nAnswer: -4, 1, x, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) be the second derivative of i**4\/12 + 4815*i. Let n(d) = 1176*d**2. Determine l(n(f)).\nAnswer: 1382976*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1002121 - -122?\nAnswer: 1002303","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i**4 - 46*i**3 + 372*i**2 - 1216*i + 1280 = 0. What is i?\nAnswer: 2, 5, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4158?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = 2*l**2. Let g(x) = x + 11756. Calculate g(y(z)).\nAnswer: 2*z**2 + 11756","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*f - 24005 = -221729. Is f composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4 + -3 - (3 + 4)) + (3 - 10 - 1).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = 4*w - 0. Suppose -2*b - w*m + 10 = -0*b, -5*b = -4*m + 11. Which is smaller: b or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -74757 + -3?\nAnswer: -7475a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*l + 302*h - 299*h + 18, 3*l + h = -2 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 3061639?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -54679015, -109358029, -164037043?\nAnswer: -218716057","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -158*u**2 - 74*u**2 + 38*u + 260*u**3 + 34*u + 50*u**4 - 24*u.\nAnswer: 2*u*(u + 6)*(5*u - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4913 + 40?\nAnswer: 4953","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.06 - 0.14. Let v be (-70)\/72 + 4\/18. Which is the closest to 1? (a) -5 (b) v (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -3\/17 at least 29945?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (1 - (-4 - -3))\/(-18*(42 + (-230392)\/5487))\nAnswer: -59\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*m + 35 = -7*a + 2*a, -3*a - 25 = -5*m for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -a (base 14) to base 10.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -764, -756, -748, -740?\nAnswer: -732","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -41277409 rounded to the nearest 1000000?\nAnswer: -41000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -374*j + 5717 - 22173 for j.\nAnswer: -44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -1, -27 in descending order.\nAnswer: 0, -1, -27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = 180*d**2 - d. Let p be v(1). Suppose 3*i - 3*o - 184 = 2*o, 4*o + p = 3*i. Is i prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*g + 142 + 89 + 25*g**2 - 40.\nAnswer: 25*g**2 + 2*g + 191","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve j + 10 = -2*q, -4*q + 3*q + 4*j = -13 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: ((-12417)\/(-20695))\/(1 - (-2 - 47\/(-5)))\nAnswer: -3\/32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1622230 and 620?\nAnswer: 310","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 247 + -245. Let n(o) be the second derivative of 0 - 1\/3*o**3 + 2*o - 1\/12*o**4 + 7\/2*o**x. Give n(-5).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 19000?\nAnswer: 2, 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -19 + 8. Let m = i - -10.2. Let f be -50 - -50 - 4\/(-30). What is the nearest to 0 in 3\/2, m, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000534 to five decimal places.\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -1 + 15 + -11 + (6 - 1) - -3\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 567035 divided by -5.\nAnswer: -113407","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -8*l**2 + 271*l - 271*l. Let a(u) be the second derivative of -5*u**3 + 2*u + 12. Calculate b(a(f)).\nAnswer: -7200*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 divided by 1843?\nAnswer: -2\/1843","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -6, -5, 4, 2 in descending order.\nAnswer: 4, 2, 1, -5, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:22 AM and 2:14 PM?\nAnswer: 292","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 17 + -1. Let p = -2186 - -1230. Is -2*p\/w*2 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l + 5*k = -3*l + 8, 0 = -3*l + 3*k + 6. Suppose 3*u - 3*f = -126, 2*u - l*f = -4*f - 64. Let v = u - -86. What are the prime factors of v?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 13, 16, 17, 16?\n\"Answer: -s**2 + 6*s + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*j = -834 + 122. What is the greatest common factor of 25365 and j?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*n**3 + 20*n**3 - 13*n**3.\nAnswer: 3*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) be the first derivative of -2*f**3 - 4*f**3 + 4*f + 7*f**2 + 0*f**3 - 8 + 0*f**2. Factor b(g).\nAnswer: -2*(g - 1)*(9*g + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*f = -f + 60. Find the common denominator of (2\/f)\/((-8)\/(-261)) and -11\/2.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = 4*a**2 + 7832*a - 4027*a - 3805*a. Let g(k) = -2623*k**2 + 122*k. Let r(j) = -64*j**2 + 3*j. Let q(c) = -3*g(c) + 122*r(c). Calculate f(q(m)).\nAnswer: 14884*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 507 minutes before 11:38 PM?\nAnswer: 3:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 42 - 54. Let k be (p\/28)\/((-1)\/7). Let d be (k - 3 - 1*-3)\/1. Solve -d - 1 = -q for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2234, -4469, -6704, -8939?\nAnswer: -11174","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5323 (base 9) to base 16.\nAnswer: f45","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out 4.8188 * -5.\nAnswer: -24.094","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 39999 + -40005. Which is the third smallest value? (a) q (b) 0.2 (c) 5 (d) 2 (e) 0.052\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g = -4*d - 5*g + 392, 0 = -5*d + 3*g + 458. Let s = -44 + d. Suppose 2*u + 5*a = s, 2*a = 3*a - 4. What is the units digit of u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*p = -7*p - 3*k - 11, 0 = k - 3 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*i**5 - 5*i**5 + 4*i**5 + 2*i**5 + 4*i**5 - 4*i**5 - 5*i**5 + i**5 + 2*i**5 + (2 + 1 - 4)*(3*i**5 + i**5 - 3*i**5) - 5*i**5 + 2*i**5 + 2*i**5.\nAnswer: i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6\/14)\/(2*39\/208).\nAnswer: 8\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of (-12 - 3 - (29 + -38))*-2 and (-4)\/8 - 25\/(-2).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 391 and 80155?\nAnswer: 391","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -57, 0, 7, -4 in ascending order.\nAnswer: -57, -4, 0, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 112 is divided by 35?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(-4 + ((-2*sqrt(4032) - sqrt(4032))*-6)**2 + 5*(sqrt(4032) - (sqrt(4032) + (-1*sqrt(4032))**2)))*-2.\nAnswer: -7717224","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6*10\/420)\/((-7)\/(-189)*3).\nAnswer: -9\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = 40*k**4 + 9*k**3 + 103*k**2. Let x(r) = -10*r**4 - 2*r**3 - 26*r**2. Let u(h) = -4*q(h) - 18*x(h). Find the third derivative of u(l) wrt l.\nAnswer: 480*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -13\/186 and -59\/1542.\nAnswer: 47802","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Add 51020334953674 and 0.1.\nAnswer: 51020334953674.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 2*l + 3)*(5*l**2 - 2*l**2 + 0*l**2) + (0*l**2 - l**2 + 0*l**2)*(-2*l - 4*l + 4*l) + 7*l - 7*l - 5*l**3.\nAnswer: -9*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve x - 5*j = -12, -2*j = -4*x - 4 - 8 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -1 + 0*m**4 - 4*m**4 + m**4 - 2*m**4 wrt m?\nAnswer: -20*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 25692.66 litres in millilitres?\nAnswer: 25692660","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1836, -2052, -2268, -2484, -2700?\nAnswer: -2916","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -12850493*o*v + 218302*o with respect to v.\nAnswer: -12850493*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -59.999999558 + 60. What is z rounded to seven dps?\nAnswer: 0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -2*b - 150. Let y(u) = 75. Let f(n) = -3*a(n) - 5*y(n). Give f(-12).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + 2 - (6 + -1)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence udeu when four letters picked without replacement from {e: 9, d: 2, u: 7}?\nAnswer: 7\/680","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 1\/(-3)*(-24)\/(-8). Let x = 2 + a. What is the units digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 383?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 2\/7 (b) -0.21 (c) 345 (d) 0 (e) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -4*c, 8 = -2*k + 7*c - 3*c. Suppose 2*v + 4 + 4 = k. What is the units digit of 18 - (-2 + -2)\/v?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -175 less than -0.5?\nAnswer: 174.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 660, 672, 684?\n\"Answer: 12*y + 648","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) be the first derivative of -x**3\/3 - 5*x**2\/2 - 3*x + 1. Let n be r(-5). Which is the nearest to 0? (a) 2 (b) -2.2 (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 78 + -77.99873. Round i to 4 decimal places.\nAnswer: 0.0013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 2\/17 (b) -0.2 (c) -1381.6 (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 0\/(-2)*2\/(-4). Let k be (-1 - m)*(1 + -1). Suppose l + l + 9400 = k. Round l to the nearest 1000.\nAnswer: -5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 742, 1487, 2234, 2983, 3734?\n\"Answer: y**2 + 742*y - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5 (base 10) to base 5.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = 10*l**2 + 3. Let y(z) be the first derivative of -90*z**3 - 80*z + 280. Give 80*t(g) + 3*y(g).\nAnswer: -10*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Add 1.053 and -0.2.\nAnswer: 0.853","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) be the second derivative of -s**5\/10 - s**4\/12 + 2*s**3\/3 + 5*s**2\/2 + 3*s - 16. What are the prime factors of t(-5)?\nAnswer: 2, 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -22038 or -20956?\nAnswer: -20956","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0001169463292 to 6 dps.\nAnswer: -0.000117","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1105388848 to the nearest integer?\nAnswer: 1034","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 divided by -52400?\nAnswer: -3\/13100","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-10)\/4*4\/(-60)*2. Which is the nearest to -2? (a) m (b) -4 (c) -4\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -65*k + 4*y - 169 = 0, 92*y = 93*y - 26 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 646 = -57*g - 28 - 67 for g.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*x**3 - 5*x**2 - 2 + 4*x**2 + 2 in the form c*x**2 + d*x**3 + l*x + g and give c.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4653)\/(-45) - 105 - 24\/10 - (-139)\/34.\nAnswer: 3\/34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:50 AM and 1:38 PM?\nAnswer: 528","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 63 - 61. Suppose -3*w - 3*v = -4239, w = -j*v - 2*v + 1407. List the prime factors of w.\nAnswer: 5, 283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -43\/30 - -53\/30. Let r = -723.81 - -720. Let b = 0.51 + r. What is the second smallest value in -2, b, h?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5*-4.032\nAnswer: -20.16","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 24\/28*35\/10. Suppose -m - m + q*a + 587 = 0, 3*m = -5*a + 852. What is the tens digit of m?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: Expand -25 + 25 + 6*a**4 + (46*a - 70*a + 52*a)*(4*a**3 + a**3 - 3*a**3).\nAnswer: 62*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = 67*d - 1 - 35*d - 31*d. Let p(k) = 4*k - 10. What is 5*o(a) - p(a)?\nAnswer: a + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ww when two letters picked without replacement from {h: 12, w: 5, o: 2}.\nAnswer: 10\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = 890*r. Let k(g) = 482375*g. Calculate 3*k(c) - 1625*q(c).\nAnswer: 875*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.3 (b) 1\/6 (c) -0.4 (d) 1071947\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -27*b + 103 + 32. Suppose -624 = -2*j - 6*o + 9*o, -b*j + 1538 = -2*o. Calculate the remainder when j is divided by 63.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1.07 + 0.13. Let s = 2.2 - g. Let p = 0.83 - 0.33. Does p = s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v - 2 = -4*j + 22, 24 = 4*j + 4*v. Solve w + 20 = j*w for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2106?\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 11\/48 and -11\/6357810.\nAnswer: 50862480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -8 - -8. What is the common denominator of -37\/4 and (74\/(-4))\/(2 + b)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r and 1 t when two letters picked without replacement from {t: 2, r: 1, l: 2}.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.4 and 46141?\nAnswer: 46141.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -266.35 + 266.35014213. Round w to six decimal places.\nAnswer: 0.000142","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = 8438*u**2. Let m(s) = -25*s**2. Determine p(m(b)).\nAnswer: 5273750*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 9844428 and 87740.\nAnswer: 49222140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 (base 5) in base 4?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 227*r - 1013*r + 5131*r + r**2 to the form f + m*r + d*r**2 and give d.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 16 is divided by -2*(-2)\/(0 + 8\/20).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 6*l**3 - 184*l**2 - 70*l + 248.\nAnswer: 2*(l - 31)*(l - 1)*(3*l + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*o - 4*o + 2061 = -m, -2*o + 1035 = m. What are the prime factors of o?\nAnswer: 2, 3, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 9855 and 6570.\nAnswer: 19710","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*z + 16365 - 16366 - 2*z**3 + 5*z**2 + 4*z**2 to a*z**2 + s + j*z**3 + b*z and give a.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 710081 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*f - 3*f - 3*f + (-3 + 2 + 0)*(-4*f + 0*f + 3*f) + (0 - 1 + 2)*(2*f + 4*f - 7*f) - 153*f + 280*f - 152*f - f - 2*f + 6*f.\nAnswer: -24*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 681329.\nAnswer: 11, 23, 2693","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5*(-76)\/(-95) + (-12 - 1)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (10221\/(-4))\/(-1*15\/20). List the prime factors of h\/5 - (-30)\/(-75).\nAnswer: 3, 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -2\/11 (b) 1\/9 (c) -2\/3 (d) 2\/9 (e) 0 (f) 931 (g) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -12231124023 - -10?\nAnswer: -12231124013","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -22*c**2 - 4*c**2 + 28*c**2.\nAnswer: 2*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -162567517\/9 or -18063056?\nAnswer: -18063056","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -t**2 - 10*t + 23. Let f be d(-10). What is the first derivative of -72*o**3 + f + 148*o**3 - 72*o**3 wrt o?\nAnswer: 12*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -33209 + 33208 - 691*o + 13*o**5 - 48*o**5 + 12*o**2 + 39*o**2 wrt o.\nAnswer: -700*o**3 + 102","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -66 - -66. Suppose -2*j + 21 = 5*n, -5*j = -4*n - v*n + 30. Solve 4*w + 25 = n*u, 4*w + 20 = -w + 4*u for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:10 PM and 10:26 PM?\nAnswer: 136","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*s**3\/11 - 6*s**2\/11 - 6*s + 70\/11 = 0 for s.\nAnswer: -5, 1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1502706235?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.2712 + 452779.1.\nAnswer: 452778.8288","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -n**3 - 23*n**2 + 54*n + 97. Determine r(-25).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 281803?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10*((-702)\/325)\/18.\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + -33 + (25 - -1) + -27?\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 12 + -12.5. Let n(w) = w**2 + w + 1. Let p be n(0). Which is the third smallest value? (a) p (b) q (c) 1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) be the first derivative of -y**6\/2 + y**5\/5 + 217*y**4\/4 - y**3\/3 + 68*y**2 + 8595. What is the third derivative of g(w) wrt w?\nAnswer: -180*w**2 + 24*w + 1302","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1 - -1.4. Suppose 4*o = 2*l + 6, 4*l = 6*l - o + 9. Put m, 4, l in increasing order.\nAnswer: l, m, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3421 + 3429. Solve 2*n - y = 5*n - 4*j, 0 = -4*j - 4 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1.86 - 1.859863. What is o rounded to five decimal places?\nAnswer: 0.00014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 153171 to the power of 1\/3, to the nearest integer?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 135 or 2?\nAnswer: 135","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 497858.3um to nanometers.\nAnswer: 497858300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20*l - 2 = -d + 17*l, 0 = -3*d - 2*l - 8 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i - 4 = -2*x, -3*i - 2*i + 3*x + 18 = 0. Suppose -9 = -6*b - i*b. Suppose -b = 5*u - 76. What is the units digit of u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 511.\nAnswer: 7, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1595*p**3 + 12*p - 27.\nAnswer: -9570*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 16172957369 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 1252, 1253, 1256, 1261?\n\"Answer: g**2 - 2*g + 1253","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -40976316 divided by -2.\nAnswer: 20488158","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*n - n + n - n - 2*n + (-2674*n + 6941*n - 3589*n)*(-4 + 3 + 3).\nAnswer: 1350*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s + 20 = -0*s. Suppose -s*v + 4816 = -4*y, -2*y - 1275 = -3*v + 1613. Suppose 4*l + v = 2*l. Round l to the nearest 100.\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-16 + 17 - 10) + (6 + -3 - (-2 - 28)).\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -254 + -12. Let b be (-3221)\/7 + (1056\/42 - 25). Let u = w - b. What is the tens digit of u?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = g - 7. Let v be s(7). Suppose v = l + 1 + 3. Let y = l - -6. Is 2 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-21 - (-29 + 24) - -12) + -14.\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (2\/(-3))\/(3\/(-18)). Suppose 30 = -2*j - 4*r, -o*j + 5*r - 27 = 2*r. Let u be 12\/720*12 - 24\/70. Which is the biggest value? (a) u (b) 1 (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_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: Let w(n) be the third derivative of -n**4\/6 - 685*n**2. Let l(o) = 1044*o**2. Let k(x) = 29*x**2. Let t(v) = -145*k(v) + 4*l(v). Determine t(w(i)).\nAnswer: -464*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 77 and 5201.\nAnswer: 57211","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = 2*f - 8. Let t be g(4). Let n = 4 + 0. What is the derivative of t + 3*x**n + 12 - 6 wrt x?\nAnswer: 12*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find c, given that 2*c**2\/23 + 338*c\/23 - 340\/23 = 0.\nAnswer: -170, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = x**3 + 8*x**2 + 6*x + 13. Let n be y(-6). Suppose -2*d - 5*d = -n. What is the greatest common divisor of 1 and d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 606 divide 119988?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g + 4*m - 2 = 0, -2*m + 6 = -g - 0*m. Let k = 21 + g. Is 5 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-72)\/(-7) - (-8)\/(-28). Let l = p - 7. Solve -l*s = 8 + 1 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**10\/i**(-2))**(-1\/2) assuming i is positive.\nAnswer: i**(-6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 3965 to the power of 1\/7, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/11, -3, -2176\/751.\nAnswer: -3, -2176\/751, -1\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = 2*l - 5. Let k be 10\/(-15)*-2*3. Suppose 0 = 4*y - 20, -2*i + 0*y = -2*y. Let a(h) = -i*h - 3 + h + 5*h. Calculate k*t(d) - 7*a(d).\nAnswer: d + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Work out 9079517 * 2.\nAnswer: 18159034","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dno when three letters picked without replacement from afaaoddaadaanad?\nAnswer: 2\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 21 + -30 - (-9 + 11).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.08 - -0.02. Let z = 0.34 - g. Which is the smallest value? (a) -3 (b) z (c) -2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 72669.\nAnswer: 3, 24223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 334806202 to the nearest integer?\nAnswer: 694","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (-2 + 0)*60\/40\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*sqrt(75) + sqrt(3) - (sqrt(3) + 4*sqrt(12)\/sqrt(4)).\nAnswer: 6*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 337.58 + -167.55. Let i = 170 - j. Put -1\/7, 16, i in decreasing order.\nAnswer: 16, i, -1\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) be the first derivative of 3*o**2 + 34*o - 501. Calculate p(-7).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -565 + 5142*k**2 + 201 + 181 + 183 as j*k + l*k**2 + y and give l.\nAnswer: 5142","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -15, -16, -7, 18, 65, 140, 249, 398?\n\"Answer: o**3 - o**2 - 5*o - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -l**2. Let i be ((-56)\/(-21))\/((-2)\/(-3)). Suppose -c - i + 3 = 0. Let f(x) = 2430*x + 1 + 2*x**2 - 2431*x + 0*x**2. Calculate c*f(v) - o(v).\nAnswer: -v**2 + v - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 74858, 149720, 224580, 299438, 374294, 449148?\nAnswer: 524000","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 29*b - 49*b - b**2 + 24*b - b**2 - 70 + 20*b = 0 for b.\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 45971444 is divided by 12418.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -31422 - -57518. Is o a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 158259571 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 583 minutes after 4:44 PM?\nAnswer: 2:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -119\/6 + 797\/42. Let j = 52.3 - 25.4. Let k = 27 - j. Which is the smallest value? (a) k (b) s (c) -2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p + 3*u = p + 927, 4*p - 924 = -4*u. Suppose 0 = 9*h - p - 72. Suppose -h*l + 36*l = 8. Solve 5*a - 5*c = 3*a + 11, -4*a + 4*c = -l for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (196\/(-10))\/(-1 - -5) and 3\/12*(-5 - 86).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 23232077?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 0 (b) 1\/3 (c) 3\/133 (d) 0.6 (e) -1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n + n = 24. Let u(o) = o + 6 - n. What is the least common multiple of 3 and u(4)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (7 - -1)*(-5)\/((-40)\/1296)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) be the second derivative of 0*y**5 + 7\/6*y**4 + 0*y**3 + 0*y**2 + 0 + 7\/10*y**6 + 5*y. Find the third derivative of l(q) wrt q.\nAnswer: 504*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -30*r**3 + 3*r**2 + 56*r**4 + 54*r - 37*r**3 - 59*r**4 + 13*r**3.\nAnswer: -3*r*(r - 1)*(r + 1)*(r + 18)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1 = -7*c - 4*x, -3*c - 177 = -2*x - 184 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 3 - -10151147?\nAnswer: 10151152","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2*4 + 6 + -5. Suppose z*i + 942 = 15*i. Does 27 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -3 (b) 2 (c) -693\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-60)\/25)\/((21\/(-10))\/7).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 76207 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -3\/56 and 15\/112.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 127054949 and 43064?\nAnswer: 5383","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -435 + 482. Let y be (-20)\/150*1 + f\/15. Solve a + 4 = -2*p - 8, 26 = -y*a - 4*p for a.\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: 4, s: 1, x: 1, k: 2, e: 2}?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*s - 22*s = -140. Find the common denominator of -1\/36 and s*(-8)\/(-200) + 196\/(-330).\nAnswer: 396","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 315159?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express 299 + u**2 + 28*u - 299 + 2*u**2 + 2*u**3 in the form r*u + d*u**2 + q + k*u**3 and give r.\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*m + 20*m = -10 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -21 - -45. Let b(y) = -15*y + y**3 + 72*y - 25*y**2 - 35 - u*y. What are the prime factors of b(24)?\nAnswer: 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 6\/(-15) + 1\/5. Let g = -0.24 + -0.06. Which is the nearest to 0.1? (a) g (b) z (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 480924911 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is -277492 != -277533?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor -21 - 1\/9*j**2 - 22\/3*j.\nAnswer: -(j + 3)*(j + 63)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:36 AM and 6:28 AM?\nAnswer: 52","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from okyokokyyynoy. Give prob of picking 1 k, 1 o, and 1 n.\nAnswer: 6\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = -5*y + 1. Let r(g) = -g**3 + g**2 + g - 1. Let a(j) = 3*j**3 - 5*j**2 + 2*j + 2. Let o(c) = y*r(c) - a(c). Give o(3).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*m - 2*m + 4. Suppose -m*j + 8*j - 900 = 0. Is j a multiple of 30?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6*22\/495*37\/3996*-15.\nAnswer: -1\/27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 221 and 102.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 906?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/25 of a century in months?\nAnswer: 336","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -26*v + 53*v**4 + 35*v + 34*v + 212*v**2 - 43*v wrt v.\nAnswer: 1272*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*a + 2*a + a - a + 0*a - a - a + 0*a + 0*a + (2*a + 3*a - 3*a)*(3 - 1 + 0) + 2 + 2*a - 2 + 18*a + 9 - 12*a - 8.\nAnswer: 10*a + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 35384808 to the power of 1\/2, to the nearest integer?\nAnswer: 5949","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*p - 23 = -4*r - 1, -5*p + 5*r = 5 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Determine a, given that -a**2\/2 + 161*a\/2 + 8541 = 0.\nAnswer: -73, 234","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -161 = -5*a - 186 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-6)\/8*48\/6. Let p = 5 + i. Let g(s) = s**3 + 2*s**2 + s. Let t be g(p). Put -4, t, -5 in ascending order.\nAnswer: -5, -4, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 17, l: 1}. What is prob of sequence glgg?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 320b (base 16) to base 14.\nAnswer: 4951","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ppo. Give prob of sequence po.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) be the first derivative of w**3\/3 - 3*w**2\/2 + 3*w + 45. Let m(j) = -3*j**2 + 7*j - 7. Give -5*f(n) - 2*m(n).\nAnswer: n**2 + n - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 1.73 (b) -0.03 (c) 10 (d) -1 (e) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k + 0*k = 150. Suppose 4*o = -2*l - 60, -5*o + l - k = -3*l. Is 1\/2 greater than o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = q - 2*w + 4*w - 211 + 162, -4*w = 13*q - 228 - 475 for q.\nAnswer: 55","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 72 = -4*q + 476. Let l(m) = q - 101 - 2*m. Let k(f) = -13*f. What is l(k(y))?\nAnswer: 26*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = 68*l - 201. Let q(n) = n**3 - 20*n**2 + 21*n - 17. What is the least common multiple of q(19) and c(3)?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 8493970 divided by -82\nAnswer: -103585","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -47 - -62. Suppose -i*l = -10*l + 10. What is the hundreds digit of ((-5)\/10)\/(l\/14)*32?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -2*a + 3, -3*n + 2691 = a. Suppose 3*r = -544 - n. What is r rounded to the nearest one hundred?\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3 - 238 = -24*l + 269 for l.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -52.92 - -53. Let f = -0.18 + k. Sort 7, 0.4, f in increasing order.\nAnswer: f, 0.4, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 445 or 6226?\nAnswer: 445","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -111*w = 11750 - 13970 for w.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 74 = 2*x + 70. Put 2\/13, 5, 1\/4, x in increasing order.\nAnswer: 2\/13, 1\/4, x, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) be the second derivative of 2\/49*n**7 + 3\/35*n**5 + 2\/21*n**4 + 0*n**3 + 0*n**2 - 16\/105*n**6 + 0 - 12*n. Suppose h(w) = 0. Calculate w.\nAnswer: -1\/3, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 443522 and 504?\nAnswer: 443018","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of f**2*y**2 - 6*f**2 + 11*f*y + 418*f - 35*y**2 + y wrt y.\nAnswer: 2*f**2*y + 11*f - 70*y + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 minus -0.09?\nAnswer: -1.91","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35*y + 64 = 39*y. Does 33\/2 = y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = 4*r**2 - 4*r**2 - 2*r**2. Suppose j - 1 = f, 0 = 3*f + 2*j + 2*j - 18. Let y(h) = -7 - 3*h**f + 7. Determine y(m(c)).\nAnswer: -12*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:29 PM and 11:15 PM?\nAnswer: 166","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cca when three letters picked without replacement from cceceeeeaeeeeceec.\nAnswer: 1\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d = -4*x + 5*d + 11318, 5*x - 14131 = -3*d. List the prime factors of x.\nAnswer: 2, 7, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -432, -311, -208, -123, -56, -7, 24?\n\"Answer: -9*h**2 + 148*h - 571","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -4*((-94)\/8)\/1. Suppose 4*l + 64 = 4*h, 0*l + 5*l = 2*h - i. Is h a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -483 + 544. Let b = r + 1132. What is the thousands digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g and 1 p when two letters picked without replacement from {p: 1, d: 1, g: 2, x: 1}.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -14862, -14867, -14874, -14883?\n\"Answer: -u**2 - 2*u - 14859","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 436 (base 14) to base 10.\nAnswer: 832","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-4)\/(-4 - -12))\/(21\/18).\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = 2*t - 15. Let g be f(0). Let m = 19 + g. What is the units digit of m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = 169*u**2 - 2805*u + 4034. Calculate p(15).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -170276776, -340553540, -510830302, -681107062?\n\"Answer: l**2 - 170276767*l - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = 3*r - 17. Let z be k(7). Let a be -1 + (-32)\/(-42) + z\/6. Let q = -89.1 - -89. What is the second smallest value in q, -13, a?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = 158*k**2 - 5*k + 4. Give u(-1).\nAnswer: 167","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 459100 = 2*j + b + 143422, 0 = -2*j - 4*b + 315690. Is j prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*b - 42 = 10*g, 3*b = 48*g - 45*g + 75 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5928*w - 5916*w - 2124. What is the hundreds digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 109\/6 and (-51)\/39 - -5 - 6.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*o - 5*o = k + 9, -17 = 3*k + 4*o for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = 10*u**2 + 27*u + 4. Let g be 56\/6*684\/(-912). Let p(a) = 3*a**2 + 9*a + 1. Give g*p(j) + 2*v(j).\nAnswer: -j**2 - 9*j + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 12\/54*15*(-36)\/10?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 17597 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.03 + 0. Let g = -0.07 - w. Which is the third smallest value? (a) g (b) -0.3 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2317509516?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -117963, -117957, -117949, -117939, -117927?\nAnswer: -117913","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(sqrt(2) - (sqrt(2) - sqrt(32)) - sqrt(2))*2*-3.\nAnswer: -54*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 28608\/576 + (-104)\/(-6)?\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 234 + -160. What is the highest common divisor of 37 and z?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:56 PM and 7:19 AM?\nAnswer: 503","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = w. Let x(s) = s - 4. Let k be x(4). Let d(n) = 8*n + k*n - 10*n + 3*n. Determine p(d(q)).\nAnswer: q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of i**3*o**2 + 5341*i**3*w**2 - 4*i**3*w - i**2*o**2*w + 4*i**2*o**2 + 107*o**2*w**2 - 2*o*w**2 wrt i?\nAnswer: 6*o**2 + 32046*w**2 - 24*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -3*w - 151. Let h be o(-43). Let j(z) = -z**3 - 20*z**2 + 42*z - 40. Let p be j(h). What is the highest common divisor of 28 and p?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 19814382*u + 8022734 wrt u?\nAnswer: 19814382","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1\/1102 + 2189\/16530. Calculate the common denominator of (-26)\/40 - 4\/6 and f.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -153.2465 - -146.25. Let s = w - -7. Round s to three dps.\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -15.786836 times -0.06?\nAnswer: 0.94721016","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*y - 23 + 23)*(2 + 0 - 1)*(10 - 13 + 36) as x*y + q and give x.\nAnswer: 66","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = 1824*c**3 + 4*c**2 - 773. Let i(h) = -3649*h**3 - 7*h**2 + 1547. Let r(n) = -4*i(n) - 7*o(n). What is the derivative of r(t) wrt t?\nAnswer: 5484*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -67737*n**2 + n - 26178 wrt n?\nAnswer: -135474","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = t**3 + 12*t**2 + 26*t - 43. Give g(-8).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/374521 > -35?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -4837 + 67671\/14. Let g be (1\/(-28))\/((-110)\/17186). Let f = -23\/770 + g. Find the common denominator of w and f.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 434.96199 seconds to hours.\nAnswer: 0.120822775","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = f + f - 3*f + 3. What is a(-3)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) be the second derivative of s**3 - 5*s + 41. Let h(p) = -1123*p. Give t(h(i)).\nAnswer: -6738*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -5 (b) -3 (c) 294\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b + 44 = -5*i + i, -b + 2*i - 14 = 0. Let q = 15 + b. Solve q + 2 = j for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 57 is divided by -7 + 20\/4 + 20.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = 17*t**2. Let f(u) be the first derivative of -59*u**3 - 4192. What is f(h(b))?\nAnswer: -51153*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 6\/24 - ((39\/4)\/3 + -6). Suppose -x + 0*x = -3. Solve -2*g - l*m = 22, 4*g + x*m = 6*g - 2 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2 less than 105094721.9?\nAnswer: 105094722.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 9\/209 and 17\/171.\nAnswer: 1881","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Determine j so that j**3 + 2151*j**2 + 100944*j = 0.\nAnswer: -2103, -48, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*k - 5 = 11*k + v, 13 = -4*k - v for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2652 and 637?\nAnswer: 129948","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.02816826 to 3 decimal places.\nAnswer: -0.028","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 418 a factor of 16510378?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from sbbbbssesb. What is prob of sequence bbe?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*j + 151 = 151 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*y**3 + 183628*y**2 + 7518844*y + 1248040 = 0. What is y?\nAnswer: -7610, -41, -1\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*m + 2*r - 10, 0*r - 3 = -3*m - 3*r. Sort 1, m, -5 in increasing order.\nAnswer: -5, m, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*m**2 - 1080*m - 31558.\nAnswer: -2*(m + 31)*(m + 509)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = 6*w. Let k(j) = -j**2 - 92*j + 103960. Give x(k(h)).\nAnswer: -6*h**2 - 552*h + 623760","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 1433, 2870, 4281, 5666, 7025?\n\"Answer: -13*c**2 + 1476*c - 30","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -44, -86, -114, -122, -104, -54?\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -6*i**3 - 10*i**2 - 5*i - 5. Let n(t) = -t**3 - 5*t**2 - 2*t - 14. Let f be n(-5). Is c(f) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 2*(-1)\/(-4)*10. Calculate the highest common divisor of 25 and w.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor l**2\/3 - 190*l\/3 + 2208.\nAnswer: (l - 144)*(l - 46)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wyyw when four letters picked without replacement from wywwwyyywy.\nAnswer: 5\/63","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 463 - 463.006. Put 5, 1\/6, s, -5 in ascending order.\nAnswer: -5, s, 1\/6, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = 2*n**3 - 18*n**2 + 4. Determine a(9).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 34\/355 at most 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is seventy-three fifths of a microsecond in nanoseconds?\nAnswer: 14600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (11\/(-44))\/((-7)\/(-4)).\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -7236622 > -7236626?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (5005\/(-429))\/(28\/(-36)) - 7.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o - 3*k + 27 = 2*o, 2*k + 32 = 3*o. Let t = -5 - -7. Determine x so that -120*x + 97*x**3 - o - 6 - 108*x**t + 389*x**3 = 0.\nAnswer: -2\/9, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 p when two letters picked without replacement from {o: 7, p: 3, z: 3, q: 2, c: 5}.\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -20.88+-254.6\nAnswer: -275.48","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 734130 to the nearest integer?\nAnswer: 90","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 853 + -127. Does 66 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (5*k - 4 - 5*k - 6*k)*(-2 + 1 - 2)*(2*k + 3 - 3) as c + d*k**2 + s*k and give s.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = 6*k. Let m = -80 + 103. Calculate the remainder when m is divided by r(1).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -91026.330001 + 91026. Let w = -0.33 - c. What is w rounded to 6 decimal places?\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a = 3*a. Let d be 0 - (12 + a)\/(-4). Factor 9*j**3 + 0*j - 3*j**4 + 0*j + d*j + 0*j - 9*j**2.\nAnswer: -3*j*(j - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -11*w**3 - w**2 - 6*w + 386. Let o(a) = 2*a**3 + a - 1. Let z(p) = j(p) + 6*o(p). What is the units digit of z(0)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 108 divide 34776?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v = 4*f - 3*f - 5, -v = -4*f + 10. What is the smallest common multiple of f and 2?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2933 - 1624. Let f be (-2)\/7 - m\/49. Round f to the nearest ten.\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-395*z - 4 - 1 + 192*z)*(-2*z + 2*z - z**2) to the form t + g*z**2 + u*z + w*z**3 and give g.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 222.00000406 - 222. What is d rounded to 6 dps?\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 3167392 and 288?\nAnswer: 28506528","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = t**2 + 6*t + 8. Let o be w(-4). Suppose 3*y + 3*y - 12 = o. Let f be (-4 - 243000068\/(-18)) + y\/9. What is f rounded to the nearest 1000000?\nAnswer: 14000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = 397*z + 11 + 4 - 399*z. Let u be r(6). Solve 0 = -p + 2*p + 4*w - 13, 18 = u*p + 5*w for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3\/2*b**2 - 396294 - 1542*b.\nAnswer: -3*(b + 514)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 8 by 39880.\nAnswer: 1\/4985","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 12 and 661735.5.\nAnswer: 7940826","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 10*s + 3*s - 65. Sort 4, 1, s, -1 in decreasing order.\nAnswer: s, 4, 1, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12568 divided by 25?\nAnswer: 12568\/25","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in seven halves of a second?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -26098*a - 4153. Is r(-27) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 + -1 - (9\/(-3) - -11)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -7 - -7. Suppose 4*d = -4*j + 512, -5*d + 386 = -z*j + 3*j. Is j a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f - 5*t + 836 = 0, 2*t + 2658 + 1441 = 5*f. Is 24 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -38 - -39.5. Let v = s - -0.5. What is the nearest to -0.05 in -0.03, 3, v?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -b + 4. Let w be g(5). Let l = -676 + 672. What is the closest to 0.6 in -3, 0.2, l, w?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 558387843 a multiple of 36?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t - 32 = -t. Suppose 0 = 4*o - t - 24. Suppose -48 - 22 = -5*g. Calculate the remainder when g is divided by o.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(4) - -2*sqrt(64))\/(sqrt(12)\/(sqrt(24)\/sqrt(4))))**2.\nAnswer: 162","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1247 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*-1*(sqrt(272) - (3*(1 + sqrt(272)) - sqrt(272))))**2*4*-1.\nAnswer: -28100 - 2400*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -5 - 81a609?\nAnswer: -81a60e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*q + 0 - 3 + 2 - 1 + 3*q**4 + 2*q**3 to the form w*q**4 + k*q**2 + t*q + o*q**3 + a and give a.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = r - 3 + 1 + 3*r - 3*r. Let a be h(3). Let d = 29\/84 - 2\/21. Which is greater: a or d?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 647944?\nAnswer: 2, 11, 37, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is -1576 < -188?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1405*z**5 - 3*z**3 - 197219*z wrt z.\nAnswer: 28100*z**3 - 18*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = 3*b + 20. Let h be a(0). Is h equal to 19?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gllllllgllllllgglg. What is prob of picking 2 l?\nAnswer: 26\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 23197 divided by -34180?\nAnswer: -23197\/34180","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jy when two letters picked without replacement from syjyyytsgyjy.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 6170624 and 1408?\nAnswer: 67876864","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) be the second derivative of 37*w**6\/30 - 37*w**4\/12 - 5*w. What is the third derivative of y(m) wrt m?\nAnswer: 888*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -q + 6. Let d be h(4). Solve d*v + 0*v = 6 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -28*p**3 - 240*p**2 - 468*p - 229. Let j(i) = -13*i**3 - 120*i**2 - 233*i - 114. Let o(c) = -4*a(c) + 9*j(c). Factor o(z).\nAnswer: -5*(z + 1)**2*(z + 22)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*k - 3 = 0, 2*o + 7*k = 2*k + 78 - 73 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b + 326 = 3*b. Suppose -b*l + 156*l = -357. Calculate the highest common divisor of 816 and l.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 0 + -1 + 0 + 9. Suppose -4*y + 5 = 1. Calculate the highest common divisor of y and i.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3070*l**2 + 3078*l**2 - 6148*l**2 + 399*l**3.\nAnswer: 399*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 25\/4 + -73\/12. Suppose 2*w + 0 = -6. Let u be w*(129\/(-63) + 2). Which is the biggest value? (a) m (b) u (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 25.13423 to one decimal place.\nAnswer: 25.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -55 - -58. Suppose 4*b = 0, -2*w + 1 = -k*w - 5*b. Let u(f) = -11*f**3 + f**2 + 2*f + 1. Determine u(w).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 36, 45, 44, 27, -12, -79?\nAnswer: -180","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + 5 + (-2 - (7 - 1)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 203 greater than 249?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is l in -2*l**3\/3 - 2614*l**2\/3 - 771208*l\/3 + 773824\/3 = 0?\nAnswer: -856, -452, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 21 - (-14 + (-43 - -36) - -45)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 15627.17 rounded to the nearest 1000?\nAnswer: 16000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8.82*-553.\nAnswer: -4877.46","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = h**2 - 11*h + 25. Let g be z(5). What is the tens digit of (0 - 4\/10) + (-347)\/g?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 76? (a) -0.2 (b) -1\/6 (c) 7 (d) 1\/2 (e) 0.02\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 11767894781 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -k**2 - 2*k**2 + 4*k**2.\nAnswer: k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*n**3 - 712*n**2 + 268620*n = 0. Calculate n.\nAnswer: -363, 0, 185","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 417629837 to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/9, 6, 31\/79 in increasing order.\nAnswer: 1\/9, 31\/79, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m*m*m**(-8)*m*m)\/m*m**(-2\/3)\/m*((((m*m\/(m\/(m\/(m*m**0))))\/m)\/m)\/m)\/((m\/(m\/m**(-2\/51)))\/m) assuming m is positive.\nAnswer: m**(-389\/51)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 287 a factor of 113586349?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 22885 is divided by 1906?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -w + 0*w - 5 + 3*w to the form l*w + f and give f.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -63*q + 10*q - 91*q + 1698768. What are the prime factors of q?\nAnswer: 47, 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k = -220 + 76. Let j = -83 - -119. Calculate the highest common divisor of j and k.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 18*2*332\/24. Suppose 3*g = -3*g + c. Let t = g - 48. Is t a multiple of 35?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:28 AM and 1:37 PM?\nAnswer: 549","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -f**3 + 8*f**2 - 8*f + 1. Let w be l(7). Let x(r) = -4*r + 6. Let a = -32 + 48. Calculate the remainder when x(w) is divided by a.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 2755?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -2117, -2118, -2119, -2120, -2121?\n\"Answer: -r - 2116","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = r**3 + 18*r**2 + 13*r - 30. Calculate s(-8).\nAnswer: 506","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*r + k = -6 - 11, 20*r + 153 = 3*k + 29 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) be the second derivative of -w**4\/3 + 2*w**2 - 3*w - 8. Find c, given that m(c) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in seven halves of a litre?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.02 + -1.94. Let l = -0.04 + c. What is the second biggest value in 3\/5, -0.1, l?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.2 * 43.60349.\nAnswer: 8.720698","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -17414, -17411, -17408, -17405, -17402, -17399?\n\"Answer: 3*b - 17417","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = w + 2*w. Let p = 5 + w. Solve -p*a = -f + 6*f - 10, 5*a - f = -2 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 185 divide 73119?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1\/15218 - -45659\/76090. Put t, -1, 0.03, 6, 2\/15 in decreasing order.\nAnswer: 6, t, 2\/15, 0.03, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in 2\/9, 0.2, -7?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 255 - 524. Let q(t) = 2*t**2 + 48*t + 22. Let f be q(-19). Let o = f - k. What is the units digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 33, -9 in decreasing order.\nAnswer: 33, 0, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-4)\/(-10) - 28\/(-5). Let m be -2*3\/b*13. Let u = -4 - m. What is the remainder when 25 is divided by u?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 31\/5 of a kilometer?\nAnswer: 6200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 259 and 10616114.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = f**3 + 5*f**2 - 3*f - 4. Let o(t) = t**3 + 6*t**2 - 2*t - 4. Let g(q) = -2*o(q) + 3*w(q). Give g(-3).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -46870, -92992, -139114?\nAnswer: -185236","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k + 2*v + 32 = -2*v, -2*v = 4*k + 28. Let s be k\/(-28) - 3\/(-14). Which is the nearest to -1? (a) s (b) 0 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = 4*n**2 + 5*n. Let c(u) be the second derivative of u**4\/4 + 2*u**3\/3 + 2*u. Let l(q) = 5*c(q) - 4*y(q). Let i(b) = -5*b**2. What is i(l(k))?\nAnswer: -5*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 5 and 160.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -54243, -216969, -488183, -867891, -1356099, -1952813, -2658039, -3471783?\nAnswer: -4394051","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -h**3 + 2*h**2 + 3 - 1 - 2*h**4 + h - 3*h**2 - 5*h**2 in the form q*h + p*h**2 + r*h**3 + y*h**4 + s and give s.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 20 - 12. Let t(h) = -10*h + h**3 + 11*h - 2*h - 10*h**3. Calculate the smallest common multiple of w and t(-1).\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is six fifths of a tonne in kilograms?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 440 divide 1110723753?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**(-5\/14))**(3\/26)\/(o**(1\/19))**(-13))**(1\/6) assuming o is positive.\nAnswer: o**(4447\/41496)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3 minus -2333727677200?\nAnswer: 2333727677200.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z + 13 + 242 = 0. Calculate the greatest common factor of 3 and z.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = -17*j + 19*j - 2*m, 5*j - m = 29. List the prime factors of 478\/3 - (-4)\/j.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t + 2*t = -4*w - 660, 5*t = 2*w + 337. Let g = -2762 - -2520. Let o = w - g. What is the tens digit of o?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -10650, -21376, -32102, -42828, -53554, -64280?\n\"Answer: -10726*k + 76","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 771 = -0*b + 3*b. Suppose 32 = -5*w + b. Is w a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -63.0484 - -0.0984. Let u = 2.05 - v. What is the biggest value in u, 0.3, 1\/7?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -160254*a**4 + 4*a**2 + 318894 wrt a.\nAnswer: -641016*a**3 + 8*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 4.125 - 0.125. Let i be 0 - 0 - (-4)\/6. Let v = -0.135 + -3.865. Sort v, i, m in descending order.\nAnswer: m, i, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1575816972 to the power of 1\/3, to the nearest integer?\nAnswer: 1164","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = 7*d. Let r(l) = -42*l. Let t(w) = -6*w - 19. Let x be t(24). Let k = -169 - x. Calculate k*r(f) - 35*s(f).\nAnswer: 7*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 27129292?\nAnswer: 2, 883, 7681","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.6 minus 2.1468?\nAnswer: -2.7468","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 3, u: 3}. Give prob of picking 3 u and 1 a.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -69? (a) 3 (b) 178 (c) -1\/3 (d) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -5226 (base 9) to base 6\nAnswer: -25423","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00005889 rounded to five decimal places?\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 3308 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:47 PM and 2:29 AM?\nAnswer: 462","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 115503 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 41 + -37. Solve 3*n - 5 + p = 2*j, -5 = 5*n - 2*j for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 + (25 - 10) + 49 + -5 + 10?\nAnswer: 83","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -17 - -21. Suppose 3*s = -3*g + 471, -5*s + 141 = -k*s - 3*g. Calculate the greatest common factor of s and 17.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -14794, -58276, -130746, -232204, -362650, -522084, -710506?\nAnswer: -927916","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) be the third derivative of -1\/30*o**6 + 16*o**3 - 18*o**2 + 0*o + 47\/6*o**4 + 22\/15*o**5 + 0. Determine q so that u(q) = 0.\nAnswer: -1, 24","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 718013982.\nAnswer: 2, 3, 7, 97, 176243","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 44\/153?\nAnswer: 44\/153","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 9 - -8b725?\nAnswer: 8b730","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert -8 (base 13) to base 15.\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -208 = -4*k + 18*m - 6*m, 4*m + 2233 = -0*k + k + 2163 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-102)\/(-2))\/((12*(-28)\/1008)\/(2\/6)).\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 163904009 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 972299.2g to milligrams.\nAnswer: 972299200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = h + 1. Let x(i) = 5*i + 7. Let w(y) = -6*s(y) + x(y). Let r be 2 + -2 - (-2)\/2. Determine w(r).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -101*a**3 + 69*a**3 - 35*a**3 - 225*a**3.\nAnswer: -292*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 159 and 98792?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.7 - -0.8. What is the smallest value in c, 2, 0.2?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 39 + -40 + (-3 - 1).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -8.7 - -1.9. Let u = -6.5 - t. What is the smallest value in -3, u, -2, -10?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*r - 5 = 37. Suppose -r*n + 86 + 5 = 0. What is the remainder when 61 is divided by n?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -32\/1297803 and 19\/4927.\nAnswer: 491867337","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(2\/11)*f**(-2\/5))\/(f**(-2))**39 assuming f is positive.\nAnswer: f**(4278\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = j**3 + 6*j**2 - 18*j + 8. Let l be m(-8). Calculate the highest common divisor of 6 and l.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 126683 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 13 and 871?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 4766300 and 11.842?\nAnswer: 4766288.158","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t = -5*g + 110, -4*g + 2*t + 26 + 32 = 0. Let y = g + -17. Suppose -3*x + x = 2*s - 6, y = -s - 2*x. What is the smallest common multiple of s and 2?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -68\/51675 and 10\/2511?\nAnswer: 43251975","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 22 - 52. Let c = z - -34. Suppose 5*v - v = -c. Which is greater: v or -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = 1164516*x + 12809673. Give p(-11).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) 3 (b) 0.3 (c) 1\/10 (d) 702 (e) -5 (f) 2\/27\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8106 is divided by 1013.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) be the first derivative of 0*h + 6\/5*h**5 + 0*h**4 - 15\/2*h**2 + 0*h**3 + 2. What is the second derivative of f(i) wrt i?\nAnswer: 72*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -116*t + 880 = -28*t for t.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 - 2 + 0)*(2 - l - 2) + 4*l + l + 0*l + (-l + 5*l - 2*l)*(2 + 1 - 1) + 1 - 1 + 2*l as m*l + z and give m.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 59 + -54. Suppose 0 = a*j - 60 - 100. What is the remainder when j is divided by 17?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -7*k + 1. Suppose -5*q = -0 + 5. Determine a(q).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.35 + -0.387. Let t = -459.063 - -459.1. Let f = t + s. Sort -0.1, 2\/17, f in decreasing order.\nAnswer: 2\/17, f, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 175.73*-262.\nAnswer: -46041.26","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = l**2 - 2*l + 2829. Let q be j(0). Let y be q\/(-24) + -2 - -2. Let z = y - -118. Which is bigger: 1 or z?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 1\/4, -0.2, -3?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 42241222 + 4?\nAnswer: 42241231","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 2002 + -7?\nAnswer: 1773","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -14*h + 114 - 58. Solve 376*y - 374*y - h = 0 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/16 + 848573\/88 a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = 2*b + 16. Let s be u(-8). Let f be ((-11980)\/(-10))\/((-4)\/(-6 + 2)). Suppose -2*c - 5*h = -777, s = -c - 2*c - h + f. Is c a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a = 4*b + 250, 4*a = -2*b + 4*b - 226. Let p = a - -55. Calculate the remainder when (6\/(-2))\/(0 - 1) is divided by p.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 335991 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10490473?\nAnswer: 7, 337, 4447","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -877.43771 rounded to one dp?\nAnswer: -877.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -1\/3, -2, 5 in descending order.\nAnswer: 5, 2, -1\/3, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 151498 to the nearest integer?\nAnswer: 389","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = 8*w**2 + 8*w + 7. Let k be s(-6). Let o = -102871 + 102884. What is the greatest common factor of o and k?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 7, d: 7, x: 3, g: 1, k: 1, u: 1}. Give prob of picking 1 u and 1 d.\nAnswer: 7\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -10.7 - -11. Let y = t - 0.8. What is the nearest to -1\/4 in y, 3, 0.2?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 1045 and 1527 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h - 2*f = -11, -7*f = 5*h - 2*f - 35. Let m(n) = -6*n + 3*n + h*n + 2*n. What is the units digit of m(5)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor z**3\/4 + 873*z**2 - z\/4 - 873.\nAnswer: (z - 1)*(z + 1)*(z + 3492)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find h such that -10*h**5\/7 - 15322*h**4\/7 - 5617824*h**3\/7 + 194564728*h**2\/7 + 39137536*h\/7 = 0.\nAnswer: -782, -1\/5, 0, 32","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 230 a factor of 115852380?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = 94*m**3 - 2*m**2 + m. Let g(i) = i + 3. Let s be g(3). Let x be 4\/(-20) + s\/5. Does 12 divide h(x)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -40061400.6 - -45855580. Let t = 5794132.400021 - v. Let u = t + 47. Round u to five dps.\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:48 PM and 3:07 AM?\nAnswer: 679","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 57876563*14\nAnswer: 810271882","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -1. Let h be ((-42)\/30 + 3)\/((32\/(-20))\/(-4)). Let s(i) = -7*i**3 + i + 4. Calculate h*r(f) + s(f).\nAnswer: -7*f**3 + f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = 3*r**3 + r. Let f be z(1). Let i = -122733 + 122735. Solve g - 6 = -f*y, 2*y = i*g + y + 6 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 75248583?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -797 + -13.74.\nAnswer: -810.74","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 159 and 20?\nAnswer: 3180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1026 times -3?\nAnswer: 0.3078","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*g + 1549 = 1559 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-5 - 8 + 10)*(39*t + 25*t - t)*(-3 + 3 - 3*t) to the form f*t + m*t**2 + q and give m.\nAnswer: 567","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 78 - 17. What are the prime factors of l?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 810404319?\nAnswer: 3, 41, 6588653","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -4*t**3 - 3*t**2 + 3*t + 3. Let r(f) = -5*f**3 - 4*f**2 + 4*f + 3. What is 3*r(n) - 4*s(n)?\nAnswer: n**3 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u = -6*d + 4*d + 218, 5*u = d + 359. Suppose 149201 = 428*g + 959*g - 17239. What is the greatest common divisor of u and g?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -198 - -231. Calculate the remainder when 82 is divided by t.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wy when two letters picked without replacement from ypyypwwyznnwwnwnzwyw?\nAnswer: 7\/76","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8*q + 7 + 153. Suppose 0 = -2*b + i - 3, 0 = -b - 3*b - 3*i + 9. Suppose 5*p - p = b. Solve 4*n + p*n + q = 0 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vky when three letters picked without replacement from ekokvkxxkeyexxk.\nAnswer: 1\/546","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*l - 24 = 5*g - 6*l, 3*g - 5*l = 6 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find k, given that -k**5 - 108*k**4 - 3986*k**3 - 53480*k**2 - 113925*k + 171500 = 0.\nAnswer: -35, -4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-56)\/(-20))\/((-1)\/180). Let h be o\/(-35) - 4\/10. Let t(w) = w**2 - 16*w + 31. Let n be t(h). Solve -n*m - m + 8 = 0, -4*m - 12 = 4*x for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.027120972 to five decimal places.\nAnswer: -0.02712","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 8*55\nAnswer: 440","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -36 + 36. Suppose 7*x + v*x = -3570. What is x rounded to the nearest one hundred?\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ccoxhxxoxhox. Give prob of sequence ch.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**26\/n*n*n)\/(n\/n**(-26)) assuming n is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12*u + 11*u - 15*u.\nAnswer: -16*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 81 - 49. Let o(g) = 72*g**3 - 32*g**2. Let w(y) = 415*y**3 - 404*y**3 + 109*y**2 - 114*y**2. Give t*w(z) - 5*o(z).\nAnswer: -8*z**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -430 - -447. Let v(m) = m + 20. Let h be v(0). Which is greater: h or c?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2.36 - 37.94. What is o rounded to the nearest ten?\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -x**2 + 11*x + 145. Let q be (-3)\/(-6)*6 - (-10 + 13) - 8. Calculate n(q).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -1.6 and 32214.\nAnswer: 32212.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(3 + -4*(-1 + sqrt(684) + sqrt(684) + -2))**2.\nAnswer: -264006 + 8640*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -602 + 12*b**3 - 60 + 72*b + 662 - 5*b**2 to m*b + w*b**2 + y + z*b**3 and give z.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m and 1 n when two letters picked without replacement from bbbbnbnzqbqqbbmbmnb?\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 4.204615 micrograms?\nAnswer: 0.000000004204615","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 15.16, -0.1, 1\/9?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g + 4*r = 3492, -39*r = 4*g - 35*r - 6976. Is 26 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 14 - (4 - (3 - 1)). Calculate the common denominator of -46\/9 and ((-2)\/(-4))\/(p\/198).\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 344437 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -198.82 take away 6873379?\nAnswer: -6873577.82","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 19557 and 384129?\nAnswer: 369","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 + 38 = 10*y. Solve -5 = y*i - 9 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10010001100 (base 2) to base 9\nAnswer: -1533","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*x + 4*x + x)*(-3*x + 0*x + 2*x + (1 - 5 + 1)*(4*x - 3*x + 2*x)).\nAnswer: -30*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -284 + 43. Let m = y + 660. Is m a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) be the third derivative of -27*d**4\/2 - 161*d**3\/6 + 14*d**2 - 2*d. Differentiate o(k) wrt k.\nAnswer: -324","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000156785 to 6 dps.\nAnswer: -0.000016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 583133439 is divided by 9294?\nAnswer: 9291","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence iiii when four letters picked without replacement from {t: 5, i: 9}?\nAnswer: 18\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pg when two letters picked without replacement from ledgp.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6900123?\nAnswer: 3, 53, 43397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6622 - 7142 + 49160 = -1911*m + 2231*m for m.\nAnswer: 152","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -103\/280 and 101\/3108.\nAnswer: 31080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m + 3*d - 7599 = -19896, -1 = -d. What is m rounded to the nearest one thousand?\nAnswer: -4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*l + l - 35. Suppose l*n + 148 = 2308. Suppose -4*r = 4*m - n, r + 0*m = 3*m + 116. What are the prime factors of r?\nAnswer: 2, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -558*o + 25089. Determine u(45).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/5 in 0.1, -2, 2\/9, -1, -76, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j + 0*j - 4*q + 19 = 0, -57 = -3*j + 2*q. Solve -4 = -3*l + a + 10, -4*l + a = -j for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) be the first derivative of -9*w**2\/2 - 6*w + 2. Is n(-6) a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) be the first derivative of d**4\/2 - 82*d**3\/3 - 42*d**2 - 223. Suppose x(h) = 0. What is h?\nAnswer: -1, 0, 42","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = 4*d, 0 = -4*t + 4*d - 3*d + 21. Let x be t\/6 - (-161)\/(-246). Let n = x + -91\/738. Which is the biggest value? (a) -5 (b) 0.3 (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 94320 and 131.\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = r - 5 - 8. Suppose -3*f + 2*p - 9 = 5*p, -4*f - 5*p = 16. What is the remainder when -1 + f - (-38 + 1) is divided by r?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 - 13 - (28 - 16 - -18 - 2)?\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -86849344, -173698698, -260548052, -347397406, -434246760?\n\"Answer: -86849354*j + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14 is divided by (5\/((-5)\/8))\/(-1).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -4, 1, -44.\nAnswer: -44, -4, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) be the third derivative of -7\/6*d**3 + 0*d - 1\/24*d**4 - 34*d**2 + 0. Let s = 2 + -2. What is l(s)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3\/8, 1.009, -1\/199, -5, 1 in increasing order.\nAnswer: -5, -3\/8, -1\/199, 1, 1.009","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -2801, -5141, -7481?\n\"Answer: -2340*v - 461","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 104067875 to the power of 1\/3, to the nearest integer?\nAnswer: 470","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = 13*x**2 - x + 4. Give a(0).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1, 41, -5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 389 + -1721. List the prime factors of (-10)\/70 + b\/(-14).\nAnswer: 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -1156*x + 9. Let u(a) = 528*a - 4. Let f(c) = -6*d(c) - 13*u(c). Let o(q) = 11*q**2. What is o(f(z))?\nAnswer: 57024*z**2 - 3168*z + 44","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 203 - -134534615?\nAnswer: 134535121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 689 minutes before 7:38 PM?\nAnswer: 8:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 5125231 and 95?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4080\/(-600)*5\/4.\nAnswer: -17\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 2098937 rounded to the nearest ten thousand?\nAnswer: 2100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -2a87 + 18a?\nAnswer: -28b9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -33 + 35. What is the second derivative of -3*r**2 - 5*r**2 + 10*r**4 + 5*r + 8*r**l wrt r?\nAnswer: 120*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 65327 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 78933137, 78933138, 78933139?\nAnswer: 78933140","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((w\/(w*w**(-1)))\/w)**42\/((w\/w**(-1\/4))\/w)**(-1\/7))\/(w*(w\/w**0)\/w*(w\/(w**3*w))\/w)**(5\/8) assuming w is positive.\nAnswer: w**(107\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3700*i + 7388*i - 3691*i - 47.\nAnswer: -3*i - 47","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 351002881 to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 65715 and 312.\nAnswer: 525720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*u**2 + 2778*u + 2780.\nAnswer: -2*(u - 1390)*(u + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-6)\/(-1))\/(9\/((-252)\/(-8))). Let s = -17 + i. Solve -s*q + 9 + 7 = 0 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 361350 to the power of 1\/6, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + (sqrt(121)\/(sqrt(176) + sqrt(11)) - sqrt(11)))**2 - (sqrt(891) - (-1*sqrt(891))**2*-1).\nAnswer: -21999\/25 - 29*sqrt(11)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/15? (a) 0.3 (b) 0.2 (c) 17\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y = 5*y. Suppose 45 = -y*d + d. Does 19 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 30 + -1dd39eb?\nAnswer: -1dd39bb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -140*w + 71*w - 157*w - 17. Let j(y) = -1130*y - 86. Let s(h) = -2*j(h) + 11*r(h). Find the first derivative of s(m) wrt m.\nAnswer: -226","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1099?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 minutes after 2:55 AM?\nAnswer: 2:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 14 - 20. Let d(y) = y**4 - y**3 + 3*y**2 - y. Let b(w) = -3*w**4 + 2*w**3 - 7*w**2 + 3*w. Let n(i) = j*b(i) - 15*d(i). Factor n(k).\nAnswer: 3*k*(k - 1)*(k + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.001*17.\nAnswer: 0.017","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1218\/(-120) - -11 - 2\/((-20)\/(-6))?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -27.358551 to two decimal places.\nAnswer: -27.36","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4750)\/(-625) - (1 + (-21)\/15).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 615, 618, 619, 618, 615?\nAnswer: 610","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y, 1 w, and 1 v when three letters picked without replacement from {w: 2, d: 2, y: 3, v: 4, s: 2}?\nAnswer: 12\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express -31962 + 3679*u + 31962 - 2*u**2 as n*u + j + l*u**2 and give l.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1435599*h**3*s**3 + 9*h**3*s**2 - 51*h**3 - 513*h*s**2 wrt s?\nAnswer: -8613594*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 1, n: 5, s: 2, i: 6, c: 2}. Give prob of picking 1 k and 1 i.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in l**3 + 9*l**3 - 10*l**3 - 5*l**3.\nAnswer: -5*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 27973871 to the nearest integer?\nAnswer: 5289","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -29, -14, 33, 130, 295, 546, 901?\n\"Answer: 3*y**3 - 2*y**2 - 30","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) be the third derivative of -1\/40*h**4 + 1\/100*h**6 + h**2 + 1\/50*h**5 - 1\/10*h**3 - 1\/350*h**7 - 1\/560*h**8 + 0 + 0*h. Suppose b(w) = 0. What is w?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 6400000 - 0\/(2 - -1). What is d rounded to the nearest 1000000?\nAnswer: 6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -24029418 divided by -6?\nAnswer: 4004903","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.400877 - -0.38241. What is i rounded to 3 dps?\nAnswer: -0.018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(sqrt(832)*1 - (sqrt(1573)*-2*5)**2).\nAnswer: -786500 + 40*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*x**5 - 297*x**4 - 606*x**3 - 6*x**2 + 603*x + 303.\nAnswer: 3*(x - 101)*(x - 1)*(x + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -131987\/731023443 + 2\/119781. Is t at least -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z - 35 = 3*t, 4*z - 4*t = t + 9. Let v(g) = -25*g**3 + 3*g**2 - 3*g - 3. Is v(z) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = 47207*i + 5664840. Calculate f(-120).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 4446 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -7.4*513357\nAnswer: -3798841.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -222, -3155, -8042, -14883, -23678?\n\"Answer: -977*x**2 - 2*x + 757","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 28799274089 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 256254 to the nearest integer?\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 26\/(-11661)*-23253 - (-2 - 48\/(-26)).\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 66 is divided by 30?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) be the first derivative of -a**2 + 80. Let u(p) = -9*p**2 - 5*p. Determine u(c(z)).\nAnswer: -36*z**2 + 10*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000026405918 to seven decimal places.\nAnswer: 0.0000264","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 28\/80 + (-13)\/(-52)?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (153\/(-2040))\/((-3)\/10)\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = s**3 + 3*s**2 - 25*s + 9. Let x be f(-12). Let z = x - 4680. Let h = z + 8921. Is h composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -11 (b) 4\/3 (c) 2\/209 (d) 3 (e) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 203514 (base 7) to base 10.\nAnswer: 34899","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 810 and 810.\nAnswer: 810","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) be the second derivative of -z**7\/3150 + z**6\/900 + z**5\/75 - z**4\/12 + 5*z. Let l(i) be the third derivative of r(i). Factor l(b).\nAnswer: -4*(b - 2)*(b + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -88 - (-88 - 6 - 1)\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 138.2 - 137.8. Which is the nearest to -0.1? (a) 3 (b) -13 (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 21 + -25. Suppose 5*o - 4*t + 8 = o, 4*t = o + 2. Let s(c) = -2*c - 3. Let h(a) = -a - 1. Let z(n) = o*s(n) + 5*h(n). Calculate z(l).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = 4*c**2 + 10*c - 6. Let n be a(4). Calculate the remainder when n + 0 + (3 - (-2 - -5)) is divided by 50.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = 131*v**3 + 4*v**2 + 130*v**3 - 2 - 256*v**3 + 1 - 1. Let y(j) = j**3. Give a(t) - 4*y(t).\nAnswer: t**3 + 4*t**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-36)\/(-3)*2\/3. Suppose -5*s - 5*w + 5 = 0, -2*s - 4 - 4 = 4*w. Suppose -4*z - 4*d = -f, z - 3*d = -3*z - s. Solve z = -t - 2*t + 3 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -2*k**2 + 12*k + 18. Let b(u) = 2*u**2 - 11*u - 12. Let g(r) = -4*b(r) - 3*h(r). Calculate g(3).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -44*w = -194*w + 5700. Solve 21*o - w = 4 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9025\/275 + -33 + 362\/(-352)*-2.\nAnswer: 15\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 24\/(0 - 9\/48). Let r = -134 - c. Let i be 7\/((18\/(-3))\/r). Solve 5*f + i = -8 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/12*(78\/(-105))\/((-37)\/(-185))?\nAnswer: -13\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 25803.63 from -775205.\nAnswer: -801008.63","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2408434751\/125 - 19267944. Let q = u + 466. Let n = q - 379\/500. Which is the third biggest value? (a) -1 (b) 3\/5 (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3073907 is divided by 78818.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 24855 - 5?\nAnswer: 24850","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert -5 (base 6) to base 15.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 64?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1198 + 1203)*(1*2)\/1.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u - 182 = -5*z, -4*u = -2*z + 24 + 54. Is z composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -684 or 0.4?\nAnswer: -684","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) be the third derivative of a**9\/252 + 11*a**8\/336 - 99*a**5\/10 + 2*a**2 + 220. What is the third derivative of f(u) wrt u?\nAnswer: 240*u**3 + 660*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 644\/3 less than or equal to 216?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m and 1 w when two letters picked without replacement from {w: 5, m: 1, r: 1, v: 1, g: 4}.\nAnswer: 5\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Work out -690717.7006 - -1.44.\nAnswer: -690716.2606","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.1, -6, -1, 2\/2227, 22, -0.4 in increasing order.\nAnswer: -6, -1, -0.4, -0.1, 2\/2227, 22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.003471 to five dps.\nAnswer: -0.00347","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*v - 2, y + 3*v + 23 = -3*y for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.9391459 litres to millilitres.\nAnswer: 939.1459","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k - 29*a + 11 = -32*a, 3*a - 25 = -4*k. Solve 2*w - k = 2*m, 0 = 24*w - 23*w - 3*m - 12 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.86 + -1.36. What is the nearest to -13 in -9, -21, v?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -100483731125641 + -3.\nAnswer: -100483731125644","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 79\/9 + -1199\/72. Let f(v) = -8*v + 21. Calculate the common denominator of f(7) and c.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -5*k**4 - k**3 - 311*k**2 - 6243*k wrt k.\nAnswer: -60*k**2 - 6*k - 622","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sum 11203007 and -443.\nAnswer: 11202564","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is (10 - (-18612)\/21)*(-2919)\/(-6) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = 2*a**2 + 1. Let m be q(1). Suppose 3*o - 3 = m. Suppose 4*k - 4 = 0, -5*x = -x + o*k + 599998. Round x to the nearest one hundred thousand.\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 156 at least 151?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -55 - 455*i - 454*i + 89 - 34 + 914*i.\nAnswer: 5*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 1, p: 19}. What is prob of sequence xppp?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13664*k**2 + 14615*k**2 - 42737*k**2 - 3*k**3 + 14458*k**2.\nAnswer: -3*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 238920 a multiple of 88?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -33\/7306 and -95\/14.\nAnswer: 51142","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 5 or -2\/27?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x**(1\/4)*x**3 assuming x is positive.\nAnswer: x**(13\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 1\/((0 + 30\/(-12))*-2). Let n(s) be the second derivative of 0 + 11\/2*s**2 + 0*s**4 - 6*s - c*s**5 + 0*s**3. What is the derivative of n(d) wrt d?\nAnswer: -12*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Solve -1450236*i + 1449895*i - 15345 = 0 for i.\nAnswer: -45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j = -3*h, 4*j - 50 = -j - 5*h. Suppose 6 + j = -4*a. Is -2 less than a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = h**3 + 8*h**2 - 2*h + 2. Let j = -114 + 106. Determine t(j).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 347732 is divided by 3820?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = 7*b**3 - 11*b**2 + 4. Let r(v) = 3*v**3 - 5*v**2 + 2. Give 13*r(x) - 6*t(x).\nAnswer: -3*x**3 + x**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 102 is divided by 40.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*k - 24*k + 391 = 0. Calculate the remainder when k is divided by 15.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x**3\/7 - 1399792*x**2\/7 - 6998918*x\/7 - 5599128\/7 = 0. Calculate x.\nAnswer: -699891, -4, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -5 + 2980?\nAnswer: 2975","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 30 take away -0.3?\nAnswer: 30.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 135 minutes before 1:27 AM?\nAnswer: 11:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -3*o**2 - o - 4. Let n(u) = 0*u**2 + 4*u - 4 + 7*u**2 - 2*u + 13. Suppose -4*l = -28 + 4. Let r = l - 4. What is r*n(j) + 5*z(j)?\nAnswer: -j**2 - j - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -26*v**4 - 105*v**3 + 135*v**2 + 105*v - 131. Let w(y) = 9*y**4 + 35*y**3 - 45*y**2 - 35*y + 44. Let g(f) = 4*n(f) + 11*w(f). Factor g(x).\nAnswer: -5*(x - 1)**2*(x + 1)*(x + 8)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-13)\/52 + (-34)\/(-8). Suppose -m*b + 1 - 5 = 0. Let p = b - -1. Solve p = -2*h + 5*h - 15 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 570733840 to the nearest integer?\nAnswer: 23890","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-168)\/98)\/((12\/(-10))\/((-24)\/(-30)))?\nAnswer: 8\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -w**3 - 21*w**2 - 75*w + 86. Determine a(-7).\nAnswer: -75","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*n - 19 = 4*b, 13 = -4*b - 13051*n + 13046*n for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor x**2 - 13502*x + 13501.\nAnswer: (x - 13501)*(x - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -97 + 148. Is 5 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4450 + 33*z - 2223 - 2227.\nAnswer: 33*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 38741103 to the power of 1\/2, to the nearest integer?\nAnswer: 6224","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 113*y - 109*y = -4, 4*t - 4*y = 24 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j + 85 = 76. Suppose -2360 - 4633 = -j*z. What are the prime factors of z?\nAnswer: 3, 7, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28*w = 7*l - 77, -4*l + 2 - 2 - 5 = -w + 11 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -52*i - 61 + 61 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 277 is divided by 64?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express -383*x**2 + x - 2*x**3 + 195*x**2 + 13*x**3 - 1 + 189*x**2 as l*x + y + b*x**2 + r*x**3 and give l.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.3 and 5.5808553?\nAnswer: -1.67425659","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x + 473 = -73. Let u = x + 352. What is u rounded to the nearest one hundred?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*j = -12*j + 14160. Is j a multiple of 31?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.59 - -3.41. Which is the closest to 21? (a) 0.5 (b) n (c) -3\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r = -10547 + 10291. Suppose 0 = 5*w + 78 + 2. Let j = -8 - w. Calculate the highest common divisor of j and r.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: Find f, given that f**2 + 1200*f + 217871 = 0.\nAnswer: -977, -223","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -2*x - 7. Let u be g(-6). Suppose 3*o + 39 = -3*c, 0 = -u*o - c - 3*c - 67. Let d = o - -17. Solve -q + 5 = 4*y + 3, q = -3*y + d for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -869995*i - 10. Let b(c) = 3*c + 17. Let p be b(-5). Let m be g(p). What is m rounded to the nearest 100000?\nAnswer: -1700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -8.49 - 184.51. Let v = -63057.907 - -62865. Let k = z - v. Round k to two decimal places.\nAnswer: -0.09","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1.77 + 1.57. Which is the closest to q? (a) 2 (b) 6.7 (c) -0.5 (d) -2\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence geg when three letters picked without replacement from ellllleeggleegellel.\nAnswer: 7\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express 91*y**3 + 2910*y**2 - 1493*y**2 + 12 - 1415*y**2 as a*y**3 + t*y**2 + f + z*y and give a.\nAnswer: 91","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 0.03496+-0.1\nAnswer: -0.06504","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 14 - 10. Let l(g) = -2*g + 2. Let s = -7 + 6. Let k(w) = -w + 1. Let j(h) = s*l(h) + k(h). Determine j(t).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -98 - -188. Let h = w + -59. Suppose h*s - 28*s - 9 = 0. Solve 0 = 2*u - s*y - 17, -4*u - 3*y - 16 = -5*u for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = 10*b - 9. Let f(g) = -g**2 - 8*g + 8. Determine 4*f(z) + 3*m(z).\nAnswer: -4*z**2 - 2*z + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 10 (b) -0.078 (c) -1917\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put -6, 4\/7, -4\/3, 1\/5 in ascending order.\nAnswer: -6, -4\/3, 1\/5, 4\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q - 6*q = 0. Let d(l) = -12*l**2 + 7*l**2 - 2 - 4*l**3 + q. Let b(j) = 7*j**3 + 9*j**2 + 4. Determine -3*b(n) - 5*d(n).\nAnswer: -n**3 - 2*n**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 63743 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i + 3*i - 2*n + 6 = 0, 5*n = 5*i. What is the units digit of 32\/(-12)*15\/i?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nwwn when four letters picked without replacement from {w: 7, n: 2}.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3483 - 93994\/27. What is the common denominator of -89\/2 and t?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1107*h**3 - 3*h**2 - 75*h - 63687687 with respect to h.\nAnswer: 3321*h**2 - 6*h - 75","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5167861l in millilitres?\nAnswer: 516.7861","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -4 divided by 62\nAnswer: -2\/31","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4400?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 3 (b) -21 (c) 121\/6 (d) -1 (e) -5 (f) 0.6\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 138 a factor of 3702?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -323 + 323. Suppose 3*u = d, -4*u = f + u - 39. Calculate the lowest common multiple of f and 3.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -7. Let q(n) = n + 6. Calculate -4*q(y) - 3*z(y).\nAnswer: -4*y - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is -1566 not equal to -139?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) be the second derivative of -s**3 - s**2 + 8*s. Give p(3).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/6*(-87)\/(-145).\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -5241 + 51?\nAnswer: -5150","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(500) + 3 + sqrt(500)*3.\nAnswer: 3 + 40*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) be the third derivative of 5\/42*a**7 + 0*a**4 - 10 + a**2 + 0*a**5 + 0*a**3 + 0*a - 1\/12*a**6. What is l in m(l) = 0?\nAnswer: 0, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -3*u - 13. Let t(c) = c + 6. Suppose 0 = 8*r + 62 - 6. What is r*t(x) - 3*z(x)?\nAnswer: 2*x - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12096.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 59 minutes before 9:10 PM?\nAnswer: 8:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -8*d - 1. Let k(q) = 7*q + 1. Suppose z - 2 + 6 = -w, -3*z - 18 = -3*w. Let i be (w - 8)*12\/(-14). What is i*k(t) + 5*v(t)?\nAnswer: 2*t + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2 or 325165?\nAnswer: 325165","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express -6*c**2 + 7 - 50 + 45 + 346*c**2 as p*c + o + z*c**2 and give p.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = 11*h**2 - 8*h + 5. What is k(1)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11120121202110 (base 3) to base 12.\nAnswer: -994149","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2.93 - -0.07. Let y = q + -2. Sort y, -2, 0.5 in descending order.\nAnswer: y, 0.5, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 504062 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k\/(k\/(k**(-21)*k))*k)\/k*k\/k**4*(k\/(k\/(k\/k**(-43))))**(-10\/3) assuming k is positive.\nAnswer: k**(-509\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 295 minutes before 1:22 AM?\nAnswer: 8:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gzejcee. What is prob of picking 1 j and 1 z?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 3, i: 3, u: 1, o: 2, a: 2, x: 1}. What is prob of sequence auv?\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1829 is divided by 593.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3*h**2*v*y**3 + 94*h**2*v + 2*h*v*y**3 + 18*h*v - 2*h*y**3 - 2*v*y wrt h?\nAnswer: 6*v*y**3 + 188*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -k**3 - 2*k**2 + 15*k**2 + 10 - 3*k**2. Calculate the remainder when l(10) is divided by 6.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -2*s - 4. Let u be b(-4). Suppose -5*p = -10*p + 20. Suppose f + u*t = -4, 5*t = -f - p*f - 5. Solve 4*v + 11 + 1 = f for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((69 - 64) + -4*(-516)\/(-128))*8?\nAnswer: -89","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.061 + -2.839. Let k = q + 3. Let v be -1 + (-11 - -20 - 3). Which is the closest to 0.2? (a) 0.2 (b) v (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k - 3*b = 136217, -4*k + 37491 = -2*b - 234931. Let n = -19904 + k. What is n rounded to the nearest 1000?\nAnswer: 48000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-o**2 - o**2 + 3*o**2)*(-32 + 50 - 242)*(-18*o + 12 - 12) as x*o + r*o**2 + b + q*o**3 and give x.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-57)\/(0 + (1\/(-1))\/1). Let r = p + -46. What is the least common multiple of r and 7?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 12? (a) -0.2 (b) -12 (c) 0.0633 (d) -19\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 18479371 to the nearest integer?\nAnswer: 264","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = 5*u - 15. Calculate the lowest common multiple of 55 and a(6).\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) be the first derivative of -l**3\/3 + 9*l**2\/2 + 3*l + 1. Let x(t) = -t - 1. Let a(r) = -i(r) - 5*x(r). List the prime factors of a(4).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c + 40 = 3*c. Find the third derivative of 2*p**2 - 10*p**4 + 4*p**6 + c*p**4 wrt p.\nAnswer: 480*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-108)\/(-9) + (-172)\/14. Which is smaller: -193.4 or n?\nAnswer: -193.4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = 52*l**2 + 111*l. Is q(-12) a multiple of 82?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1589992632 is divided by 53.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 3126922 and 34.\nAnswer: 53157674","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*g - 8*g = -162. Let n = 82 - g. Factor n + 19*w**4 - 46*w**2 + 26*w - 5 - w**4 + 6*w**3 + 0.\nAnswer: 2*(w - 1)*(w + 2)*(3*w - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 57615 by -11523.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 141\/1175*(-17)\/((-153)\/20)?\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*t**3 - 3*t**2 - 4*t**2 + t**2 to q*t**2 + x*t + l + k*t**3 and give q.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*q - 72 = 6*q for q.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h + u = -565, -1145 = 3*h - 7*h + 5*u. Let i = h + -41. What is the units digit of i?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (j**3 - 4*j**3 - j**3)*(13*j - 24*j + 13*j + 15*j + 22*j) + 7*j**2 + 4*j**4 - 7*j**2 as k*j**4 + z*j**2 + w*j**3 + a + p*j and give k.\nAnswer: -152","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4\/21)\/(22\/(-231)*-14).\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -14 - -66. Suppose 4*i + 0*i - n = 0. What is the tens digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) be the first derivative of k**3\/3 + 3*k**2\/2 - 2*k + 3. Suppose -152 = -7*l + 163. Calculate the remainder when l is divided by o(-6).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = 5*v + 4. Let p(x) = x + 1. Let i(z) = 2*o(z) - 9*p(z). Let u be i(1). Solve 12 = -4*q - u*q for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2460060 and 1385730.\nAnswer: 218945340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*s + 3*s**2 + 0*s + (-5*s + 4*s + 3*s)*(3*s - 2*s + 0*s) + (-3*s - 3*s + 4*s)*(-2*s + 0*s + 4*s) + s**2 + 0*s + 0*s + 23*s**2 + 19*s**2 + 21*s**2.\nAnswer: 65*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000053386 rounded to six dps?\nAnswer: -0.000053","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z + 1 = f + 6, -f + 7 = 2*z. Suppose -8*n = -z*n - 716. Let a = n + -110. Is a prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rr when two letters picked without replacement from {r: 13, l: 5}.\nAnswer: 26\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -151 - -145. Let k(c) = -4*c + 5. Let r(d) = -4*d + 6. Calculate g*k(p) + 5*r(p).\nAnswer: 4*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i = -20 + 75. Suppose 0 = -3*f + k - 6*k + i, -5*f + 7 = -3*k. Suppose 35 + 51 = 3*g + 5*l, -f*g - l = -69. Is g a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 52.13842 minutes in seconds?\nAnswer: 3128.3052","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 2 divided by 4494\nAnswer: 1\/2247","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 3539997958 to the power of 1\/7, to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1 + -17. Let u be (-2)\/(-4) - (-9)\/k. Find x such that 1\/3*x**2 + u + 1\/3*x = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.298 rounded to one dp?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (2 + sqrt(147) - 2*sqrt(108)).\nAnswer: -5*sqrt(3) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Product of -98 and 8.98.\nAnswer: -880.04","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -15423, -30649, -45847, -61017, -76159, -91273?\nAnswer: -106359","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-10 + 13 - -26) + 24 + -29.\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 238.5 - 238. Let l = -1 - 3. Let x be 2\/9 + l\/(-63). Put x, 0.1, s in descending order.\nAnswer: s, x, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -8 + 3 - 5 - 13 + 5*l. What is the remainder when 34 is divided by t(7)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = 13744*w**2 - 4 + 3*w - 13741*w**2 - 3*w**3 + 2*w**3. Let j = 714 - 711. What is x(j)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1464 + -1312. Calculate the remainder when 464 is divided by j.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 7597896 to the nearest integer?\nAnswer: 197","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 13 + -9. Suppose -v*l = -5*s + 5, 0*s - 2 = 5*l - 2*s. Suppose -2*i - 3*i + 65 = l. List the prime factors of i.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 84158.\nAnswer: 2, 29, 1451","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -g. Let v be o(5). Let l be ((-301)\/215)\/(1\/5). Let t(f) = f + 7. Let u(z) = -2*z - 10. Determine l*t(w) + v*u(w).\nAnswer: 3*w + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 476416 and 56.\nAnswer: 3334912","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 65318821 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*c + 59 - c + 3*c - 2*c.\nAnswer: 2*c + 59","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4296 = 8*x + 3208. Calculate the highest common factor of 5576 and x.\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -209 + 17 = -2*y. Suppose y = a + a. Does 24 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -89\/26 and -41\/287728480?\nAnswer: 287728480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is (-15088)\/(-32) - (-2)\/(-4) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 419 minutes after 9:48 AM?\nAnswer: 4:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.084 + 0.281. Which is the smallest value? (a) w (b) 0.1 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 3\/15 + (-18)\/(-60). Let y = 0.625 - 0.525. What is the nearest to 5\/8 in y, s, -1?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -2 + 5 + 0 - 9*o - 6. Let k(q) = 4*q + 1. Let m(p) = -6*h(p) - 13*k(p). Let z(l) = -6*l - 16. Calculate 16*m(w) + 5*z(w).\nAnswer: 2*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(1 + -1 + sqrt(1053) + 4 + sqrt(1053) + sqrt(1053)*-3))**2*-2*-4.\nAnswer: -2304*sqrt(13) + 34208","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*o - 6 = 2*o + 2*t, -5*t = 2*o + 15. Suppose o*w - 2 = w. Let u be -1 + -3 + 7 + w. Solve 0 = y + 3 + u for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 21347 - 512327\/24. Let a(x) be the third derivative of 0*x**3 - z*x**4 + 0 + 3*x**2 + 0*x. Let d(b) = -14*b**2. What is a(d(s))?\nAnswer: 14*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 7\/22 (b) 2 (c) -3\/16 (d) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 432*a = 430*a + 1826. Is a a multiple of 126?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0 (b) -5 (c) -0.3 (d) -2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -5*y - 10. Let a be k(0). Let t(i) = i**3 + 6*i**2 - 4. Let g be t(-4). Let z = a + g. List the prime factors of z.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) be the third derivative of l**7\/42 + 7*l**3\/6 + 10*l**2. Find the first derivative of f(p) wrt p.\nAnswer: 20*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 345 and 3015?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -11222223 + 131113?\nAnswer: -11031110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ysiym. What is prob of sequence si?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -6*q**2 - 91*q + 15. Calculate the remainder when f(-14) is divided by 42.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:44 PM and 6:47 PM?\nAnswer: 63","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 10 and 3\/(-9) - (9 - 2338\/21).\nAnswer: 510","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1120 + -1114. What is the smallest common multiple of p and 36?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2\/6264307 or -1?\nAnswer: 2\/6264307","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 15109 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2177562?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -3*f**3 - 5*f**2 - 280*f - 550. Calculate k(-2).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o\/o**(-12\/5))\/(o*o**(-2)*o)*((o\/(o**18*o))\/o)\/o*o**4*o assuming o is positive.\nAnswer: o**(-58\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = a**2 - 5*a + 9. Determine n(6).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000002531985 to seven decimal places.\nAnswer: 0.0000025","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -489 + 739. What is the tens digit of i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 172251 + -48574703\/282. What is the common denominator of -61\/15 and w?\nAnswer: 1410","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -379, -1427, -3161, -5569, -8639, -12359?\n\"Answer: 2*m**3 - 355*m**2 + 3*m - 29","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express p - p + p - p + p - p + (p - 5*p + 2*p)*(2 - 2 - 1) - 5*p + 4*p + 3*p + (2*p + 1 - 1)*(-2 - 3 + 6) as g + j*p and give j.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -4572.7 times -3\nAnswer: 13718.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -196954680979.103049 - -196954537500. Let g = y + 143479. Let x = g + 0.103. Round x to 5 decimal places.\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8782?\nAnswer: 2, 4391","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p + s + 6 = 0, -3*p + 2*s - 5*s = 6. Suppose 14*l + 82 + 16 = 0. Sort l, p, -2 in increasing order.\nAnswer: l, -2, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.4 and -0.04646?\nAnswer: 0.44646","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(sqrt(684) + 0) + sqrt(684))**2 + ((sqrt(684) - (1*sqrt(684) - sqrt(684)))**2*-2 - sqrt(684)) + sqrt(684).\nAnswer: -1368","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -309927081197926838 - -309927083536265207.99999981. Let o = 2338338381 - l. Let d = -11 + o. Round d to seven dps.\nAnswer: 0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 + 387614484*k**3 + 0 - 387614496*k**3.\nAnswer: -12*k**3 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 8 - 8.1. Which is smaller: f or 188?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = s**2 - s - 302. Let l(h) = 616*h**2. Determine n(l(r)).\nAnswer: 379456*r**4 - 616*r**2 - 302","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = 2*f**2 - 34193*f - 376369. What is n(-11)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 4 - -12?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 282*u - 4295 = -21035 - 7230 for u.\nAnswer: -85","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -33, -133, -309, -567, -913, -1353?\n\"Answer: -j**3 - 32*j**2 + 3*j - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 22717, 51508, 80299?\n\"Answer: 28791*u - 6074","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1618512141 to the power of 1\/2, to the nearest integer?\nAnswer: 40231","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) be the first derivative of -2\/15*g**3 - 1\/15*g**6 - 6\/25*g**5 + 0*g**2 + 0*g - 3\/10*g**4 - 1. Factor z(y).\nAnswer: -2*y**2*(y + 1)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n + 264 = 2*n. Let z = n - -6. Suppose z + 28 = 4*c. Is 9 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = d**3 - d**2 - d + 10. Suppose -10 = -4*g + 14. Suppose 0 = g*m - 3*m. What is the tens digit of o(m)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:47 PM and 1:47 PM?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 4777 - 28765\/6. What is the common denominator of (-220)\/3*(-5)\/40 and l?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 309056934 plus 0.2693?\nAnswer: 309056934.2693","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p = -3*d + 3, -3*p + 5*p = 3*d - 13. Let y(s) = -2*s + 7*s - d*s. Let i(r) = 100*r. Let g(x) = -11*x. Let w(f) = 55*g(f) + 6*i(f). Calculate w(y(u)).\nAnswer: -10*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 132 a factor of 4263630?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h**(-1\/6)*h**(-9\/2) assuming h is positive.\nAnswer: h**(-14\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 75\/(-7) + 28\/(-98). Let s = -12 - j. Is s > -4\/13?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ccsscessscessccesc. Give prob of sequence ecse.\nAnswer: 7\/1530","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put together 354 and -74827156.4.\nAnswer: -74826802.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 13396743 to the nearest integer?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -19 + 17. Let o = 0.11 + 0.09. Put 5, o, i in descending order.\nAnswer: 5, o, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4 - 582\/(-6)*5?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find r such that 2*r**4\/3 - 39452*r**3\/3 + 1064038*r**2\/3 - 5751292*r\/3 - 5358128 = 0.\nAnswer: -2, 12, 17, 19699","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d = d + 2*g + 30, -2*d - 3*g - 25 = 0. Let n be (d\/25)\/((-4)\/10). Let t(a) = 4*a + 2. What is t(n)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z and 1 e when two letters picked without replacement from pffpscefspsfzsp?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 10.7 - -13.3. Let p = s - 18. Suppose -6*q + 2*q = 24. Which is smaller: p or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -11*n + 40*n - 493 for n.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11063.\nAnswer: 13, 23, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -49890 + 80602. Suppose 2640 = 8*l - f. Is l a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8*f + f + 5*f. Solve -2*p + 28 = -4*c, 2*p + f*c - 13 = c for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.69 - -43.31. Let h = -46.3 + t. Put -1, -2, h in decreasing order.\nAnswer: -1, -2, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -93*y + 92 + 94 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3946 + 3945. Let t = 18 + -13. Which is the nearest to s? (a) -5 (b) t (c) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1850 is divided by 12.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 15 - 21. Let d be -2 + -3 + (g - -7). Let l(k) be the first derivative of k**4\/4 + k**3 - 3*k**2 - 5*k - 1. Determine l(d).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 54*m - 29*m - 33*m + (2*m - 4*m + 3*m)*(3 - 1 + 0) + 6*m - 18*m - 3*m in the form f*m + h and give f.\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = y**3 - 5*y**2 - 6*y + 5. Suppose 6 = 4*m - 18. Let i be s(m). Suppose 5*n - 45 = -i*t, 0 = -t + 5*t - 12. Is n a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5.81*0.16304.\nAnswer: -0.9472624","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13618.\nAnswer: 2, 11, 619","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 6\/(-9)*15\/(-40). What is the closest to -1 in -0.4, 0.5, o?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -46*n**2 + 5*n**3 + 10*n**2 + 80*n - 4*n**2.\nAnswer: 5*n*(n - 4)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1630645 divided by -3229.\nAnswer: -505","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*i**2 + 2281 - 11621 - 5838.\nAnswer: 3*i**2 - 15178","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p and 1 k when two letters picked without replacement from kuudpppkpuk?\nAnswer: 12\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 48794\/5 + -9758. What is the closest to 3\/2 in -3\/13, -4, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + -2 - -1 - (-265 + 241)?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 180718884.\nAnswer: 2, 3, 293, 5711","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 500 is divided by 7.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -258626*p - 1034494. What is n(-4)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -4*r + 15. Let g be y(3). Suppose 0 = g*w + 3*k, 3*w + 5 = 2*k + 10. Put 3, -6, 5, w in increasing order.\nAnswer: -6, w, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -321 + -121040?\nAnswer: -121411","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qgbbooegoegs. Give prob of picking 1 b and 1 g.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 12302013013 - -202?\nAnswer: 12302013221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2*b*k*q - 387*b*k - 175*b + 3*k*q - 62*k + 1159*q wrt k.\nAnswer: 2*b*q - 387*b + 3*q - 62","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -r - 4. Let s be b(6). Let h = 41 - s. Is h a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = p - 3*m - 3, 0 = 4*p + 4*m - 8*m - 52. Suppose 3*w - v - 10 = 0, -3*w + 0*v = -3*v - p. Which is the biggest value? (a) w (b) -2 (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (24\/(-28) + 0)*-21. Suppose k - u = -k. Suppose x - 12 = -3*x. Calculate the remainder when k is divided by x.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -26 divided by -26?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -4 - 237008204?\nAnswer: -237008208","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -20 - -325?\nAnswer: 305","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 5977\/605 + 5\/242. Let b be (-6 + -20)*(-331)\/10. Let z = -76919\/90 + b. Calculate the common denominator of z and s.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 252 minutes after 7:45 PM?\nAnswer: 11:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -54 - 2 - (136 + -299 + 181)?\nAnswer: -74","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = 39*t**2. Suppose 0 = -d + 2*d - 4*s, 5*d = 3*s. Let y(u) = u + u - 4*u + d*u. Determine y(x(i)).\nAnswer: -78*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 819 divide 4534803?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1041 - 2097\/2. Which is the closest to n? (a) 0 (b) 2\/9 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 63 minutes before 5:59 AM?\nAnswer: 4:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -k + 4. Determine w(2).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10165.\nAnswer: 5, 19, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-159)\/(-63) + (-1)\/(-1) and 2\/52 + 731524\/(-186264).\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 402 minutes after 9:11 AM?\nAnswer: 3:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -13*h - 75 - 16 for h.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13866 is divided by 3443?\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3\/10? (a) -0.3 (b) -12 (c) -0.12 (d) -0.8 (e) 21\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*h - 20 = -9*h. What is the tens digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 - (12 - ((5 - 10) + 8))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 516 and 967893192?\nAnswer: 516","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) be the first derivative of -u**6\/3 + 8*u**5\/5 + u**4\/2 - 8*u**3\/3 - 84. Find d, given that r(d) = 0.\nAnswer: -1, 0, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f = -5*a - 5, -2*a + 4*a - 16 = 2*f. Solve -b + a = -4*b for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15786084817 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 103\/90 and -79\/7758.\nAnswer: 38790","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -p = p + p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1343161969 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 72*r + 576 = 39*r - 15*r for r.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2.2907 - -2036.8093. Round k to the nearest ten.\nAnswer: 2040","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 d and 1 a when four letters picked without replacement from {a: 1, m: 7, d: 1, u: 6}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put 9, -154, -3 in ascending order.\nAnswer: -154, -3, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 233, 249, 299, 401, 573, 833, 1199, 1689?\nAnswer: 2321","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 12b - 20?\nAnswer: 10b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.254 and -44247.\nAnswer: 11238.738","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jp when two letters picked without replacement from ggpjjsssmsgigsi.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) be the second derivative of m**6\/15 - 8*m**3\/3 + 87*m**2 - 31*m + 7. Find the first derivative of f(h) wrt h.\nAnswer: 8*h**3 - 16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f*f**19*f**(-23) assuming f is positive.\nAnswer: f**(-3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -2*a + 21. Let p(w) = -2*w + 24. Let x(v) = -5*p(v) + 6*q(v). Calculate x(2).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(1 + sqrt(1008)))**2 - (0 + sqrt(1008) + -1) - (sqrt(1008) - (-1 + sqrt(1008))*-5 - 1*sqrt(1008)*3).\nAnswer: 48*sqrt(7) + 4042","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -13*a - 1. Let u(s) = 5*s - 2 - 27*s + s + s. Give -8*n(f) + 5*u(f).\nAnswer: 4*f - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -989\/90 + 98\/9. Which is the nearest to -0.1? (a) -1\/3 (b) 0.3 (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 27565 is divided by 336.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -345, -1280, -2837, -5016, -7817?\nAnswer: -11240","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14*r**2 + 6*r**2 + 10*r**2.\nAnswer: 2*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 324 minutes after 8:19 PM?\nAnswer: 1:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -134 - -70. Let v be ((-207)\/6)\/(12\/j). Suppose -f + v = -124. Calculate the greatest common divisor of 28 and f.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 232881466 to the nearest integer?\nAnswer: 615","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -2\/9 (b) 12766\/5 (c) 4 (d) 2\/3 (e) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 78.57755kg to nanograms.\nAnswer: 78577550000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -3 + ((-4)\/(-4) - 2). Let q(k) = -k**3 - 5*k**2 - 4*k + 5. Let m be q(i). Suppose h = m*r - 1186, 0 = 2*r - 4*r - 4*h + 470. Is r prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0 - x**2 + 0 + (1 - x**2 - 1)*(1 - 5 + 3) + x**2 + 4*x**2 - 4*x**2 - 1727*x**2 - 423*x**2 - 127*x**2.\nAnswer: -2276*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -165 - -373. Let g(k) = -8*k - 223. Let y be g(-36). Calculate the greatest common factor of u and y.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 77613 is divided by 404.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -3 - 5 - 44\/(0 + -4). Solve -7 = -g - i for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) be the first derivative of 1\/8*g**4 + 1\/3*g**3 + 0*g**2 + 0*g + 1\/120*g**5 - 1. Let z(l) be the third derivative of f(l). What is z(-3)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(891)*-2 + -4 + -1 - (-5 + sqrt(891) + (sqrt(891) - (sqrt(891)*2 + 2 + sqrt(891))))**2)*-2.\nAnswer: 288*sqrt(11) + 1890","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 - 574*t + t**3 + 651*t - 1 in the form x*t**2 + d + w*t**3 + b*t and give b.\nAnswer: 77","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 39401 is divided by 4924?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*g - 142 = 3*g + l, -g - 3*l + 38 = 0. Let r = 30 - g. Is (r - 14\/18) + 8296\/9 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3462990719 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*w**4 + 155*w**3 - 2805*w**2 - 9675*w.\nAnswer: 5*w*(w - 15)*(w + 3)*(w + 43)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -11227 - -12140. Does 8 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -52020, -52022, -52024, -52026, -52028, -52030?\n\"Answer: -2*y - 52018","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 482412 divided by 28\nAnswer: 17229","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10 + (-3 - 76 - (2 - 6)) + (11 - 2).\nAnswer: -56","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 33482, 35974, 38466, 40958?\nAnswer: 43450","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (31\/(279\/(-72)))\/(-1 - 1). Solve 3 = 5*v - d*o - 14, 0 = 3*v - 5*o - 18 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 64358 to the nearest integer?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -1222.4533 to 0 dps.\nAnswer: -1222","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -2*u**2 + 11. Let y(q) = -32 + 2*q**2 - 23 + 55. Calculate y(n(g)).\nAnswer: 8*g**4 - 88*g**2 + 242","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-64)\/(-12)*54\/36)\/1.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 444*-133.\nAnswer: -59052","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -30*q**2 - 14*q**2 + q - 2*q - 77 wrt q.\nAnswer: -88","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 373266 is divided by 2523?\nAnswer: 2385","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find w, given that 25*w**4\/2 - 235*w**3 - 3200*w**2 - 11120*w - 11520 = 0.\nAnswer: -4, -2, 144\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -60 + 109. Let u = -67 + x. Let i = -18.0000034 - u. What is i rounded to six decimal places?\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -46\/120945 and -47\/2572830.\nAnswer: 28301130","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*g - 2736 + 1872. Suppose 0*r - 135 = -5*r. What is the greatest common divisor of r and g?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 12*j**4 + 560*j**3 + 368*j**2.\nAnswer: 4*j**2*(j + 46)*(3*j + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1287018 and 33786.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Do 831 and 833 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -4*a**5*p - 203*a**5 - 4*a**2*p - 311*p wrt a?\nAnswer: -240*a**2*p - 12180*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12696295.\nAnswer: 5, 89, 103, 277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1234.9 + -1235. Which is the third biggest value? (a) v (b) 0.78 (c) 1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 3993 and 3993?\nAnswer: 3993","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -49 + (-90 - (-40 + -28))?\nAnswer: -71","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*m + 11*m = -2*r + 7 - 3, 4*m = 0 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.07 + 0.23. Let x = 127\/416 - -5\/32. Let q = 1644 - 1647. What is the fourth smallest value in t, 1\/5, x, q?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = p**3 + 2*p**2 + 8*p + 6. Let k be s(0). Let c(u) be the first derivative of -k*u + 1 - 1\/2*u**2. Differentiate c(g) wrt g.\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 57 + -1?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*s + 6*s + 14*s - 7*s - 4*s.\nAnswer: -2*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 6 divided by 21694071\nAnswer: 2\/7231357","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 168 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 11 + -11.7. Let b = n + 0.4. Let m(t) = -2*t + 1. Let c be m(1). What is the third smallest value in 4, b, c?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7 - 9 + 16 - 14 + 2*y.\nAnswer: 2*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 120\/54 - (-1 - -1 - -2). Factor o*w**2 + 2\/9 - 4\/9*w.\nAnswer: 2*(w - 1)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m + 2*r = 0, -m + 2*m = -2*r + 3. Let j = m - -11. Is 4 a factor of (j\/5)\/((-3)\/(-15))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -22.22, -1\/5, -2\/27, -0.1, 4\/7?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = o**3 + 4*o**2 - 7*o - 4. Suppose -5*u + b = 4*b + 28, -u + 3*b = 2. Calculate the remainder when 17 is divided by p(u).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.022064 years in centuries?\nAnswer: 0.00022064","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -168290 + 168292.99956. Let r = 28 + -31. Let i = r + n. Round i to 4 decimal places.\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -z**2 + 12888*z + 51568. Determine t(-4).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 65\/12 and 83\/8290080?\nAnswer: 8290080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = g**2 + 6*g - 1. Suppose -36 = 3*k + 2*n, -42*k + 41*k = n + 13. Calculate d(k).\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 12*r - 763 - 329. Suppose 8*t - 27 = -r. Let a(j) = j**3 + 16*j**2 + 34*j + 1. List the prime factors of a(t).\nAnswer: 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -2\/5, -0.2, -4\/7, -0.07, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 1 - 3)*(185*r**2 - 4*r**4 - 6*r**4 - 191*r**2).\nAnswer: 10*r**4 + 6*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-35)\/7 - -2 - (30 + -9 - 7).\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 14 - 12. Suppose -4 = 2*y - 8. Suppose 6*d + 2*w - 15 = 3*d, y*d + 2*w = 10. Solve r*v = d - 7 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (6*s - 4*s + 0*s)*(2 - 2 + 2*s) - 14*s + 15*s**2 + 14*s - 588*s**2 - 1167*s**2 - 665*s**2 in the form v + w*s**2 + x*s and give w.\nAnswer: -2401","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 6291.58 nanograms?\nAnswer: 0.00000000000629158","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 861029569 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 3\/2, 7\/927, 0, 2\/21, 2\/13 in ascending order.\nAnswer: 0, 7\/927, 2\/21, 2\/13, 3\/2, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -18 - -18. Let r = 3244 + -3213.78. Let w = r - 29.6. Which is smaller: b or w?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1)\/(-6))\/(-1*6\/12)?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) be the first derivative of 31*j**6\/3 - 3*j**4\/4 - 1789*j**3\/3 + 557. Find the third derivative of m(s) wrt s.\nAnswer: 3720*s**2 - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -1123, -2245, -3367, -4489, -5611?\n\"Answer: -1122*y - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 349672567 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -13?\nAnswer: -13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + -17 + (10 - -5)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k - 2 = -w, 11*k = 8*k. Suppose -1175 = -13*q + 9*q - 3*u, -6 = w*u. What is the tens digit of q?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 194 (base 12) in base 2?\nAnswer: 100000000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -11, -0.5, 0.2?\nAnswer: -11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 2\/65, -489, -5?\nAnswer: -489","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:55 PM and 6:42 AM?\nAnswer: 647","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 19101768?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -327 = 3*v - 4*v. Suppose 3*i - v = -0*i. Is i a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (16*o**2 - o**2 + 13*o**2)*(-48*o + 40*o - 43*o)*(2*o + 0 + 1 + 3*o) to c*o + p*o**2 + l + w*o**3 + q*o**4 and give q.\nAnswer: -7140","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = i, -2*i = 2*a + 2 - 10. Suppose 39 = a*k - 29. Suppose 0 = -3*c + y + k, 3*c = c - 2*y - 2. Solve -8 = -4*g + c for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 420 minutes before 4:58 AM?\nAnswer: 9:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -36 - 35 - 39 - 13*r**3 + 110.\nAnswer: -13*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of f**2*h**2*l*o**3 - 112*f**2*h**2*o**2 - 2*f*h**2*l*o + f*h**2*o**2 + 4*f*h - f*l*o**3 + 3*h**2*l*o**3 wrt f?\nAnswer: 2*h**2*l*o**3 - 224*h**2*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.067, -7, 0.1, -2, -2\/5.\nAnswer: -7, -2, -2\/5, -0.067, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 397539958?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 62\/73, 4, 1, -5?\nAnswer: 62\/73","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -103, -294, -661, -1294, -2283, -3718?\nAnswer: -5689","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 2, i: 1, f: 6, a: 2}. What is prob of picking 2 e and 1 a?\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -1.54482 and 3625?\nAnswer: 3626.54482","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -2*t + 9. Let b(i) = -2*i - 2. Let o(l) = -3*b(l) - q(l). Let c be o(7). Solve -c*u = -49*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 - 2 = -2*u. Let i be 347 - (2 + u)\/(-1). Round i to the nearest 100.\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*s - 4*x + 8, 8 = 3*s - 2*x - 13. Let t(v) = -38*v + 1. Let j be t(s). Let w = j + 481. List the prime factors of w.\nAnswer: 2, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from aaaaaaaraaa. What is prob of sequence aar?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hl when two letters picked without replacement from lvchhlccchl?\nAnswer: 9\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2 or -209?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36*m + 332 = 31*m - 3*j, 0 = 5*m + j + 334. Is m smaller than -0.4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -127158 - 1445\nAnswer: -128603","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 32806, 32808, 32810, 32812?\nAnswer: 32814","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 204105, 204104, 204101, 204096, 204089?\nAnswer: 204080","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve n + 106 = 98, 4*o = -2*n - 32 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 7520 a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -86 (b) -2\/9 (c) -2\/201 (d) -2\/5 (e) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 35 divide 875?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = n**3 + n - 9. Let u be l(0). Let x = u - -14. Suppose -x*k + 40 + 15 = 4*g, -4*g - 2*k + 70 = 0. Calculate the least common multiple of g and 20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 178746907 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -67242 divided by 9606.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-2)\/6 - 86\/(-6). Let r = d - 13. Let j = 5 - 3. Sort j, r, -0.2.\nAnswer: -0.2, r, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = 17*u**2 - 2 - 5*u**2 - 11*u**2 - 2*u. Give g(3).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -75 = -5*s - 5*j, 4*j - 7 - 1 = 0. Let z be 6*(247\/(-39) + 7). Solve -25 = 5*h + m, 5*m - 7 = z*h + s for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2015 + 2020. Suppose -3*m = -11 + 5. Suppose -m*k - h = -10 - 45, 5*k + 4*h = 145. Solve 2*j - q = q + 10, w*j + 4*q = k for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-96 - -2) + (1 - 3). What is the remainder when v\/(-10) - (-6)\/15 is divided by (552\/(-345))\/(4\/(-10))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 1, 1\/7, 11 in ascending order.\nAnswer: -1, 1\/7, 1, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2, 2, 12, 38, 86, 162?\nAnswer: 272","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 less than -4\/178891?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = 2*l - 1 - l - 3*l. Let n be h(-5). Suppose 0 = -0*g + 3*g - n. Put -3\/4, g, -0.5 in decreasing order.\nAnswer: g, -0.5, -3\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -u - 15. Let w(n) = 3*n - 20. Let c(b) = a(b) - w(b). Calculate c(4).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -t**2 - t + 6. Let y be j(0). Let o(c) = c**3 - 6*c**2. Let b be o(y). Suppose 0 = l - 2*k - 7, b*k = 5*l - 4*k - 47. What is the tens digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 161 * -28\nAnswer: -4508","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (30*k + 227 - 227 + (-1 + 2 + 1)*(2*k - k - 2*k))*(65*k - 59*k + 47*k) to the form l*k + u*k**2 + b and give u.\nAnswer: 1484","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 6\/5*(-232)\/(-6). Let w = -47 + z. Let l be (-591)\/(-985)*((-16)\/60)\/(8\/(-20)). Which is the nearest to w? (a) 0 (b) l (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1653 + -1112. Let j = p + -522. Calculate the greatest common divisor of j and 893.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 113110 to the nearest 10000.\nAnswer: 110000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9657.\nAnswer: 3, 29, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -734 + 2*t**2 + 0*t + 735 - 5*t - t**3 to the form k*t**3 + p*t + x + n*t**2 and give n.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*r + 125 = 3*t, -1725*t + 73 = -5*r - 1722*t for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 21, 44, 61, 66, 53, 16, -51, -154?\nAnswer: -299","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 17090052 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide 676915 by 18295.\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Total of -2616.4 and -61.\nAnswer: -2677.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -5334, -5346, -5358, -5370, -5382, -5394?\n\"Answer: -12*i - 5322","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 5 (b) 1.112 (c) -0.5 (d) 0.27 (e) -0.2 (f) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 714230401 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 62\/215 and -43\/1110.\nAnswer: 47730","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6\/8*-4 + (1 - -1018)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -84*q - 20*q = 62*q + 2*q + 4536 for q.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 15 (b) -1\/13866 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.061334 and -1.\nAnswer: 0.061334","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/5 of a meter in centimeters?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -7438, 4\/9, 3, -1, 22, 0?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 8 - 2e3?\nAnswer: -2da","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 90*q + 1318*q**2 - 50*q - 40*q - 2643*q**2 + 1342*q**2.\nAnswer: 17*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -38558 + 128937. Is j prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*u = -5*u - 24 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 1 + -34*(-611)\/(-20696). Let s = 16 + -17. Which is smaller: c or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -60 - 6 - 19*j - 29. Let h be n(-6). Let o be ((-2)\/(-4))\/((-3)\/(-18)). Solve o*a + t = -3*t - 8, h = a - 3*t for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -216.8 - -176.8. Sort -3, 2\/5, 0.21, 4, u in increasing order.\nAnswer: u, -3, 0.21, 2\/5, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -21.667 to 1 decimal place.\nAnswer: -21.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 4072380587 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 2, 0, -6, -1 in ascending order.\nAnswer: -6, -1, 0, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*r + 2 - 2 + 0*r + 0*r + r + (1 - 1 + 2*r)*(2 - 2 + 2) + 0 + 0 - 2*r + (-3 + 37 - 1)*(-2*r + r + 4*r))*(-2*r + 2*r - 2*r**2).\nAnswer: -200*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: Let f(m) be the third derivative of m**5\/12 - m**2. Let a(z) = -3*z - 3. Let y(v) = -1. Let u(d) = a(d) - 3*y(d). Determine u(f(c)).\nAnswer: -15*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 361?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 237703?\nAnswer: 467, 509","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.46 in 5, -0.2, -4, -18, 233?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 477827 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 142182?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*t - 1 = 3*d + 1, 0 = 5*d - 3*t + 14 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 19088597 and 3971.\nAnswer: 19088597","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/509 at most as big as 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 55\/(30800\/168)*8\/12.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*t = p + 7, t + 2*p + 6 = 3*t for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-1)\/(-1)*2 + 1. Suppose -2*q + 4*q - 10 = 0. Suppose 2*k - 19 = -q*r, -k - 3*r - 27 = -3*k. Calculate the highest common factor of g and k.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2801156 a multiple of 292?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -27.278 to the nearest 10.\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5883 is divided by 2894?\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -175 + 366. Is l a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -72696 divided by -24232.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -903, -905, -907, -909?\n\"Answer: -2*u - 901","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -3*m - m + 44*m**3 + 5*m - 36*m**3. Let l = 1 - 0. Give d(l).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -22*k**2 - 8720*k - 8719. What is p(-1)?\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2617003?\nAnswer: 19, 137737","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (16352\/1022)\/(1*4\/5)?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -17325, -5, 56247, -3 in decreasing order.\nAnswer: 56247, -3, -5, -17325","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 6\/(-9)*372\/(-8). Calculate the greatest common factor of 155 and v.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -8*i**2. Let s(k) = k**2 - k. Let w(f) = -12*f**2 + 9*f. Let r(b) = 36*s(b) + 4*w(b). Calculate r(v(h)).\nAnswer: -768*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 9706196*z + 13261585?\nAnswer: 9706196","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 232?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -697, -1129, -1563, -1999, -2437, -2877?\n\"Answer: -w**2 - 429*w - 267","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 6116, 12232, 18346, 24458, 30568?\nAnswer: 36676","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) be the third derivative of 1\/8*s**4 - 1\/3*s**3 + 1\/120*s**6 + 0*s + 0 - 3*s**2 - 1\/30*s**5. Calculate w(2).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -78131716 - -5?\nAnswer: -78131711","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i + 56 = 3*j, -3*i + 5 = 5*j - 37. Suppose -2*l - 4*t + 82 = 0, -193 = -l - 4*l - 4*t. Let c = l - i. List the prime factors of c.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -51000*u**3 - u**2 + 1. Suppose b + 0 - 1 = 0. Let j be v(b). What is j rounded to the nearest ten thousand?\nAnswer: -50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 74 + -74. Let c = 11 + 11. Let z = -40 + 38. Put z, n, c in descending order.\nAnswer: c, n, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 4070 and 28490.\nAnswer: 28490","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + sqrt(325)*-2*-6 + ((2*sqrt(325))**2*-2 - sqrt(325)).\nAnswer: -2600 + 55*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 i, 1 z, and 1 j when four letters picked without replacement from gzziljozgijjzl.\nAnswer: 12\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = i**2 + 16*i + 16. Let v be a(-15). Let q be v - (342482\/52008 + -2). Let t = q - -4\/2167. What is the common denominator of t and -13\/18?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-4 - 3)\/(-7))\/3.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*z**2\/15 - 38*z\/15 - 6\/5.\nAnswer: -2*(z + 9)*(2*z + 1)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o*o\/(o\/(o\/o**(-2\/3)))*o*o)**3*(o*o**6)\/(o**(-5\/2)*o*o))\/((o**(1\/4))**(2\/69))**(12\/7) assuming o is positive.\nAnswer: o**(6919\/322)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-136 - 130*z + 136)*(2 - 3 - 1).\nAnswer: 260*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -25190*n + 327189. Determine v(13).\nAnswer: -281","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 l when two letters picked without replacement from {l: 7, c: 5}.\nAnswer: 7\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Work out -355 * -113.\nAnswer: 40115","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) be the first derivative of c**6\/20 + c**4\/8 - c**2 - 5. Let r(x) be the second derivative of g(x). Find the second derivative of r(q) wrt q.\nAnswer: 36*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(sqrt(200) + (sqrt(200) + -1)**2).\nAnswer: -402 + 20*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = o**3 - 8*o**2 + 12*o + 15. Let v(l) = l**2 + 3*l - 4. Let s be v(-5). What is the remainder when 57 is divided by r(s)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1\/702 + 2219\/2808. Calculate the common denominator of v and -79\/90.\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1709*x**3 - 549*x**3 + 464*x**3 + 456*x**3.\nAnswer: -1338*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0686 plus -71120.4880874?\nAnswer: -71120.4194874","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -2.31314 and -0.4.\nAnswer: 0.925256","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.6 + 1143?\nAnswer: 1142.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 20? (a) 17\/5 (b) 5 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 k and 1 m when three letters picked without replacement from {j: 2, a: 1, m: 4, k: 4}.\nAnswer: 8\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -2285 - -1355665780?\nAnswer: 1355663495","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w + 6*w = -3*p + 47, -3*p = -3*w + 81. Suppose 14*s + 2*s = w. Solve h - 4*m = 3*h - 14, -s*h - 26 = -4*m for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 6\/7, 3, -0.1, 0.7?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 179 is divided by 49.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = 4*k + 6. Let m be i(-2). Let l(n) = -n**2 + n. Let f(w) = 4*w**2 + w - 1. Let p(x) = m*l(x) + f(x). Is p(-6) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26927 a multiple of 171?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 5 - (3 + -3 - -1)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 641852111 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.896 + -0.585. Let r = n + -0.361. Which is the third smallest value? (a) 5 (b) r (c) -0.07\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 7391 - 7168. Calculate the remainder when f is divided by 89.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*x + 2*t = -8*x + 570, -4*x + 2292 = 4*t. Let q = -571 + x. Solve -3*p = -j - 0*p, 17 = -q*j - 2*p for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((o*o*o**(2\/9)*o*o)\/o)\/(o*o\/(o*o**2))*(((o*o**(-2\/5))\/o)\/o)**31)\/((((o\/o**(1\/2))\/o)\/o)**(-10)*o**(-1)*o*o**(1\/5)) assuming o is positive.\nAnswer: o**(-2447\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3507.\nAnswer: 3, 7, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 6, l: 2, n: 1, w: 4}. Give prob of picking 1 w, 2 q, and 1 n.\nAnswer: 12\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*g - 30 = -14*g for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10049046.\nAnswer: 2, 3, 7, 239263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -d**4 + d**3 - d**2 - d + 1. Let y(l) = -43*l**4 + l**3 - 193*l**2 - 4*l + 4. Let f(i) = 4*k(i) - y(i). What is the third derivative of f(h) wrt h?\nAnswer: 936*h + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 162125638?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 2, c: 3, k: 10, q: 4}. What is prob of picking 2 k and 1 m?\nAnswer: 30\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -32 - 1?\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -n**3 + 8*n**2 + 7*n + 8. Let r be s(7). Let x = r + -98. Suppose 4*i - 3*g - 571 = 0, -g = -x*i + 3*i + 722. What is the hundreds digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6177968?\nAnswer: 2, 101, 3823","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = z. Let b(n) be the third derivative of -5*n**4\/24 - 6*n**2. Suppose 3*j = -g + 4, -4*g + 8 = -2*g - 5*j. Give g*b(v) + 22*w(v).\nAnswer: 2*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.3? (a) 2 (b) -2\/185 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (21\/2)\/(-3)*4. Let p(d) be the second derivative of -38*d**4\/3 - 8*d**3\/3 - 16*d**2 + 199*d. Let k be p(o). What is k rounded to the nearest 1000?\nAnswer: -30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 519, 2\/3, 2\/77061 in descending order.\nAnswer: 519, 2\/3, 2\/77061","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = 78*n**2 - 108*n + 108. Let w(v) = -11*v**2 + 15*v - 15. Let o(k) = -5*m(k) - 36*w(k). Let u(x) = 51*x. Determine o(u(q)).\nAnswer: 15606*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -2*v, 2*h - v = 3*v + 6. Let n(b) = h - 1 + 1. Let x(m) = -m - 1. Let l(w) = n(w) + x(w). Give l(-2).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 502883 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 0 + -23be?\nAnswer: -23be","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*n - 280 = 2*n. Calculate the remainder when n is divided by 15.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(34) + sqrt(102)\/sqrt(3))*-2)\/((sqrt(22)*1)\/sqrt(11))*4)**2.\nAnswer: 4352","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 14.8646mg in micrograms?\nAnswer: 14864.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*o + 15 = -o. Suppose -66*x - 1 = -67*x. Find the second derivative of 3*g + x + 1 - 2 - g**o wrt g.\nAnswer: -6*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/3? (a) -675 (b) 132 (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**36\/g)\/g)\/g*g*g**27 assuming g is positive.\nAnswer: g**61","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = r**2. Let n(x) = 1029*x + 32. Let g(q) = 16458*q + 528. Let d(l) = -2*g(l) + 33*n(l). What is z(d(y))?\nAnswer: 1083681*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 47\/276 and -2\/171.\nAnswer: 15732","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 19908, 20250, 20774, 21480, 22368, 23438?\n\"Answer: 91*i**2 + 69*i + 19748","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = 3*p - 25. What is j(16)?\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express ((4 - 3 + 0)*(-2*f + 2*f - 2*f) + 0*f + 0*f - 4*f)*(-167 + 63 + 67) as c*f + g and give c.\nAnswer: 222","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(1 + (sqrt(931) + -1)*5) + -6*((sqrt(931) - (1 + sqrt(931))*-1) + 3) + -4)**2.\nAnswer: -8736*sqrt(19) + 159643","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v + 6*z - 105 = 3*z, 3*v + z = 75. What is the remainder when v is divided by (1\/3)\/((-6)\/(-234))?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1493\/5 - 298. Let w be -1 - 3*(-35)\/(-195)*-2. Which is the nearest to 1? (a) w (b) -3 (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13950?\nAnswer: 2, 3, 5, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (7 - -9) + (-23 - (-1 + 5 - -66)).\nAnswer: -77","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (252*b**3 - 246*b**3 - 188*b**3)*((3*b - 4*b + 2*b)*(0*b + 0*b + 2*b) + 0*b**2 + 5*b**2 - 4*b**2).\nAnswer: -546*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 times 67056?\nAnswer: -134112","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -8497 * -6\nAnswer: 50982","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c - 11071714 = -j - 4036130, 0 = 4*j + 4*c - 28142384. Round j to the nearest 100000.\nAnswer: 7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -157, -312, -467, -622, -777, -932?\nAnswer: -1087","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.668215 tonnes to milligrams.\nAnswer: 668215000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.19 - 0.49. What is the second biggest value in p, 18, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 12 + -83\/7. Let x = -289 - -1157\/4. Let k be (4 + (-44)\/12)*2. Which is the nearest to 0.2? (a) k (b) x (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = v**3 + v**2 + v + 1. Let u(o) = -57*o**3 - 6*o**2 - 6*o - 40. Let q(w) = -6*p(w) - u(w). What is the derivative of q(z) wrt z?\nAnswer: 153*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -5*g + 27. Let h(k) = 3*k - 145. Give d(h(m)).\nAnswer: -15*m + 752","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 0 + (10\/(-12))\/5. Let o be (4 - (-95)\/(-25))*-2. Which is the nearest to -1? (a) o (b) 1 (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1.49 - -1.490099. What is j rounded to 5 dps?\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -2*y**2 - 8*y + 6. Suppose 2*g - 3 = -15. Calculate f(g).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1740718.65 rounded to the nearest ten thousand?\nAnswer: -1740000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*c + 9 = -m, c + 4*m + 180 = -3*c - 56 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3397?\nAnswer: 43, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -40504 - -303?\nAnswer: -40201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.49 + -0.54988. Let h = -0.06 - t. What is h rounded to four decimal places?\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 206 divided by -103.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 244709934?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is (-16 - 1800\/(-112))\/((-8)\/140)?\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -d**2 + 4*d + 4. Suppose 3*i - 4*s = 300, -2*s = -s + 3. Let r = i - 93. Calculate n(r).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 1115 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t = 3*v - 122, -2*t + 0*v = -3*v + 47. Let f be (-2)\/5 + (-610)\/t. What is the highest common factor of f and 36?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -261*g + 38*g + 2335 = 146*g - 4307, -48 = -2*t - 3*g for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3246*i**5 + 467*i**2 - i - 1?\nAnswer: -194760*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in 11.19748, -3\/7, -5?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-17 + 11*g + 21 - 2)*(-3*g - 3*g + 4*g).\nAnswer: -22*g**2 - 4*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4793300.\nAnswer: 2, 5, 47933","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ppzz when four letters picked without replacement from {z: 5, p: 14, v: 1}?\nAnswer: 91\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2 * 0.051823472.\nAnswer: -0.103646944","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u + 10 = 3*u. Suppose 2*j - 3*f = -27, 8 = u*j + 3*f + f. What is the units digit of j\/(2 + 0) + 11?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0364763642 to 6 dps.\nAnswer: 0.036476","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -h**3 - 30*h**2 + 30*h - 38. Determine v(-31).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 7.797 - 1.597. Let b = 8.172 - -0.308. Let q = b - j. Round q to the nearest integer.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2\/(-8) + 1\/4. Suppose t = -c + 5*o + 25, 4*c + c - 77 = o. Let y = 167480 - 167456. Calculate the lowest common multiple of c and y.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((256\/72)\/16)\/(2\/15).\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -10 + -1 - -27 - -2.\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 4\/(120\/(-18))*(-2 + -3). Which is bigger: 6 or c?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 54\/121 and -43\/49071?\nAnswer: 539781","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n = -836 - 249. Let p = n + -116. What is the hundreds digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 134375.\nAnswer: 5, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = -3*l, -3*v + 44 = l - 76. Suppose -9*s + 69 = -291. Is v at most s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q*q**(-1\/2)\/q)**48 assuming q is positive.\nAnswer: q**(-24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -8\/1421 and 26\/9?\nAnswer: 12789","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 785437 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = 36*n + 2. Let b(g) = 20*g**2 + 0*g**2 - 23*g**2 + 2*g**2. Give i(b(m)).\nAnswer: -36*m**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 137, 288, 475, 716, 1029, 1432, 1943?\n\"Answer: 3*y**3 + 130*y + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 31230102002 (base 4) in base 13?\nAnswer: 988922","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 322222 + 10?\nAnswer: 322232","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -3010132001 (base 4) to base 10\nAnswer: -804737","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 3 (b) -0.5 (c) -5\/6 (d) 1\/4 (e) 4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 242930312 to the nearest integer?\nAnswer: 624","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 13\/78967800 and -149\/443328?\nAnswer: 631742400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bjjdopbk. What is prob of sequence bj?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 587720 + 529.736471.\nAnswer: 588249.736471","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 571232 + -571235. Suppose -4*i - 5 = 3*v + 1, -4*v + 17 = -3*i. Let q = v + -6. Is q equal to c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in one fifth of a decade?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.005594394 rounded to five decimal places?\nAnswer: -0.00559","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*h**2\/5 + 660*h + 13168\/5.\nAnswer: 2*(h + 4)*(h + 1646)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 16*15\/240*1283 is divided by 317?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*c + 85 = 5*c. Suppose 15 = 5*r, 0*z - 4*z = -3*r + c. Let i(s) = 3*s + 7. Let v(u) = -u - 3. Calculate z*i(j) - 5*v(j).\nAnswer: -j + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1143 to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4304.\nAnswer: 2, 269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/5, 0.3, 0, -984 in increasing order.\nAnswer: -984, 0, 0.3, 3\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1.085484 + -24.080067. Let d = -1.994549 - l. Let i = d - 21. What is i rounded to five decimal places?\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -3.1 and -2370852.\nAnswer: 7349641.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3328\/3*v**2 - 2\/3*v**5 + 8192\/3 - 4096\/3*v - 62\/3*v**4 - 704\/3*v**3 = 0.\nAnswer: -8, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.7 - -0.7. Let z = 1.4952 + -5.4952. Put z, 0.5, 3, j in decreasing order.\nAnswer: 3, 0.5, j, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.6413219l in millilitres?\nAnswer: 641.3219","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-4)\/6*(11 + -14). Suppose -b*j + 0*j = 0. Solve -t + 0 + 2 = j for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = 1. Let i(v) = -12*v + 40. Let z(j) = -i(j) + 4*y(j). Let x be z(3). Put -79, -0.5, x in decreasing order.\nAnswer: x, -0.5, -79","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.03 + 5.03. Let q = -44 - -24. Let y be -3*(q\/(-6) - 4). What is the second smallest value in 4, y, s?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*p + 3 = 0, s - 51*p = -50*p + 1 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -1110 (base 2) in base 4?\nAnswer: -32","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve r - 7 = -2*j, -5*r = -10*j + 6*j + 7 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(3 + sqrt(243)*-4 - (sqrt(21)\/(sqrt(7)*2) + 2 + (sqrt(3) - sqrt(9)\/sqrt(3)) + sqrt(3)))**2.\nAnswer: -375*sqrt(3) + 84395\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -7*d**2 + 10*d + 11. Let t(s) = 6*s**2 - 9*s - 10. Let i(n) = 5*j(n) + 6*t(n). Let p be i(7). Let c = -9 + p. What is the units digit of c?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-i + 2*i + i)*(-3*i**2 + 3*i**2 - i**2) + 4*i**3 - i**3 + 3*i**3.\nAnswer: 4*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -7611 - -209?\nAnswer: -7402","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 17811 is divided by 850.\nAnswer: 811","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o - 18 = 4*w, -o + 10 = 24*w - 28*w. What is the least common multiple of 2\/40*w + 168\/80 and 11?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -4.8 + 7.7. Let w = -3.1 + k. Round w to the nearest integer.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*k**5\/3 + 8452*k**4\/3 + 2368225*k**3\/3 - 1109564*k**2 + 317340*k = 0. What is k?\nAnswer: -246, 0, 2\/5, 1, 1935","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = b**2 + b - 1. Let i(p) = -10*p**2 - 9*p + 9. Let h(z) = -2*i(z) - 18*k(z). Let m(v) = -41*v. Determine m(h(f)).\nAnswer: -82*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.301, -20\/47, -1\/2, -2\/5 in ascending order.\nAnswer: -1\/2, -20\/47, -2\/5, -0.301","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 297*x**3 + 568*x**3 + 8*x**2 - 867*x**3.\nAnswer: -2*x**3 + 8*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -6*h**3 + h**2 + 3*h + 2. Let t be b(-1). Suppose 0 = -5*g - t*g + 11. Does -4\/67 = g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-77 - (-21459)\/276)\/((-42)\/(-4) + 3)?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 69842944\/(-182) - 8\/(-28). Let f = q + 383946. Let n = f + -194. Which is the biggest value? (a) -4 (b) n (c) -1\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 340312583 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*g = -887 - 2751. Let t = 220 - g. Solve -c - 5*y = -t*c + 35, -y - 2 = 0 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.564699mm to kilometers.\nAnswer: 0.000000564699","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 13, -5, 0.07, 2\/29, -2 in decreasing order.\nAnswer: 13, 0.07, 2\/29, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = r**3 + 4*r**2 - 3*r + 10. Suppose 5*o + 25 = 5*n, 5*n = o + n + 17. Let v be (-1 + o)*(-10)\/(-4). Let s be b(v). Let a(q) = -q + 3. What is a(s)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o - q - 39 = 0, 5*o = 2*q - q + 96. List the prime factors of o.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -55.414 + 55.437801. What is d rounded to four decimal places?\nAnswer: 0.0238","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 31 divide 94488481?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r + 5*i = 2*i + 69, 3*r + 4*i - 217 = 0. Is 23 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 2, i: 2, z: 5, a: 3}. Give prob of picking 1 z, 2 i, and 1 x.\nAnswer: 2\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 202 a factor of 15760?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1 + -5. Let t be 21599998\/f + (-1)\/3. What is t rounded to the nearest 1000000?\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.07? (a) 213\/2 (b) -1\/5 (c) -19\/4 (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = 2*g**3 + g**2 - 3*g - 7. Suppose 114 = -20*c + 134. Let r(x) = -x**2 + 1. Give c*r(w) + l(w).\nAnswer: 2*w**3 - 3*w - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26*w + 29*w = -5*t + 638, -2*w + 424 = 4*t. Let r = 281 - 267. What is the lowest common multiple of w and r?\nAnswer: 1512","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gzm when three letters picked without replacement from {m: 2, g: 10, z: 6}?\nAnswer: 5\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 59458487?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1088))**2 + -1 + ((4*sqrt(34))\/sqrt(2) + sqrt(17))**2.\nAnswer: 1512","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25 = 11*k - 30 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*d - 5*d + 3. Suppose v - d = 2*v. Let b = 8 - v. Is b 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 8\/627 and -53\/133?\nAnswer: 4389","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-78)\/4)\/((-3)\/6). Let f = u - 26. Is f a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t - 132 - 708 = 0. Is 14 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1104\/21)\/8 - ((-27)\/63 + 0)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 44, 74, 104, 134?\n\"Answer: 30*u + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -9*q**3 + 5*q**2 - 4. Let x be 3 - ((-8 - -4) + 4). Let o(f) be the first derivative of -f**4 + 2*f**3\/3 - 2*f + 2. Determine x*t(u) - 7*o(u).\nAnswer: u**3 + u**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-2)\/(-3)*((-75)\/(-2) + -3) is divided by 9.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 24 divided by 3775?\nAnswer: 24\/3775","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = 7*u - 26. Let h be b(4). Let y(c) = 13 + c**3 - 12*c + 6*c**2 + 8*c**2 - 5*c**h - 13*c. What is the remainder when y(-11) is divided by 16?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2659.\nAnswer: 2659","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -x**3 - 3*x**2 + 4 - 7 + 3*x + 3*x**3. Let u(m) = -3*m**3 + 4*m**2 - 4*m + 4. Give -4*p(h) - 3*u(h).\nAnswer: h**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 804482396.\nAnswer: 2, 61, 3297059","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 21 and 665250.\nAnswer: 4656750","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.07*4.\nAnswer: -0.28","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hhsssrrgpprpgrj. What is prob of picking 1 j, 1 s, and 1 h?\nAnswer: 6\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 330 a factor of 29313570?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: Is 7031 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 divided by -3724?\nAnswer: -2\/931","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = 20733*x - 3192905. Give z(154).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6)\/3*35\/10.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 14453834?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 32822 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3.699592 litres?\nAnswer: 3699.592","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 10, -4, 1, -2 in ascending order.\nAnswer: -4, -2, -1, 1, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 1052614050 less than 3.6?\nAnswer: -1052614046.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7149 = -1313*g + 79509 for g.\nAnswer: 66","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -1 - 2*m - 11 - 4 + 2. Let n be a(-5). Let c(h) = -h**3 - 3*h**2 + 4*h + 5. Give c(n).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -35*f**3 + 19*f**3 - 3*f**2 + 11*f**3 + 4 + 4*f**3 - f + 5*f. Let m be -2 - (2 - -2 - 2). What is h(m)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 444 minutes before 3:05 AM?\nAnswer: 7:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -6*r - 2. Let p = 12 + -18. Let o = -9371 + 9472. What is the remainder when o is divided by q(p)?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jd when two letters picked without replacement from {j: 3, d: 1, l: 4, p: 3}?\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 88 a factor of 13723546?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -425*h**2 - 3826*h + 3. Let o be r(-9). Solve 0 = o*s - 1897 + 1801 for s.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 409660 is divided by 468.\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:22 AM and 4:59 PM?\nAnswer: 457","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ccrxzx. Give prob of sequence xzr.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -253 times -508\nAnswer: 128524","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g = -3*m, 2*m - 6*m = -4*g. Suppose -2*v + 0*r + 4 = 2*r, -3*r - 6 = g. Let x be 5 - (4 + (3 - 4)). Solve -v*y = -2*y + x for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3492*g - 583250 = -3517*g. Let l = 20 + -12. Suppose -l*m + g = 2*m. Is m composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) be the first derivative of 3*u**6\/10 + 4*u**2 + 11*u + 10. Let x(s) be the first derivative of m(s). Find the first derivative of x(j) wrt j.\nAnswer: 36*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -16.81692307 minus 4304?\nAnswer: -4320.81692307","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4246, -3827, -3396, -2953, -2498, -2031, -1552?\nAnswer: -1061","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s\/((s\/s**(-19))\/s)*s)\/s*s)**(-2\/127)\/(s**(-3\/41)*s\/s**(-21)) assuming s is positive.\nAnswer: s**(-112779\/5207)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.3 and -2011006640163.\nAnswer: -2011006640163.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -d**2 - 133*d + 133*d. Let c(t) = 22*t - 20*t + 13*t. Determine c(r(y)).\nAnswer: -15*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = 0*y - 51 + 47 + y + 2*y. Let i be k(3). Suppose 4*o - 6*f + 2*f - 424 = 0, -i*f = -2*o + 209. What are the prime factors of o?\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -81 = -5*a - 11. What is the highest common factor of a and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = 16*w + 2. Let o(c) = 8*c + 1. Suppose 0 = 4*v - k - 25, -3*v + v + 2*k = -20. Let g(b) = v*o(b) - 3*m(b). What is g(-1)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*i = -254 - 428. Let o = i - 9. What is the lowest common multiple of o and 204?\nAnswer: 2244","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = 6*m + 101*m - 43*m - 79 - 50*m. Let i(r) = 2*r. Determine u(i(p)).\nAnswer: 28*p - 79","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 536968161?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -m + 2*m. Let d = -14265 - -14270. Sort m, 0, d, -33 in descending order.\nAnswer: d, 0, m, -33","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 156 minutes before 4:20 AM?\nAnswer: 1:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y = -4*y - 12. Let r(w) = -w**3 - 7*w**2 - 7*w - 1. Let z be r(y). Suppose -z*f + 15 = -2*f. List the prime factors of f.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vllcgyylgymylgy. What is prob of sequence gyly?\nAnswer: 2\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/11 in -27513, -2, 4, -4?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 + 0 + 2*s**2)*(3 + 0 - 1 + (4 - 2 - 1)*(-4 + 2 + 4) + 3 - 2 - 2)*(180 + 181 - 374) to c + u*s + v*s**2 and give v.\nAnswer: -78","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2, 1, -8, -428, -1, -1\/2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -4.92 - -5. Let w = 0.37 + t. What is w rounded to 1 decimal place?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 2 + 1)*(-12*i + 6*i + 4*i)*(411 - 203 - 122)*(-1 + 1 - 1).\nAnswer: 344*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in six fifths of a millimeter?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -8*x + 1. Let c(i) be the second derivative of -i**3\/6 - 1447*i. What is -5*c(d) + j(d)?\nAnswer: -3*d + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 5211306703 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) be the second derivative of b**4\/6 - 5*b**2\/2 - b. Let i be j(4). Find the third derivative of 3*g**4 - i*g**3 + g**2 + 27*g**3 wrt g.\nAnswer: 72*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -626*n + 19. Let l(h) = h. What is p(l(k))?\nAnswer: -626*k + 19","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -4\/9, 5, -2261, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Determine f so that f**3\/5 - 141547*f**2\/5 - 37153958*f\/5 = 0.\nAnswer: -262, 0, 141809","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3066 is divided by 611.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 918\/(-153)*1114\/(-6)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11586 = -3*j - 3732. Does 119 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.508 + 0.445. Let z = v - -0.063157. What is z rounded to four decimal places?\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v - 37 = -3*j - j, -3*j = 4*v - 122. Let g = -41 + v. Let f(k) = k**3 - 4*k**2 - 4*k - 6. Let q be f(5). Put g, 5, q in descending order.\nAnswer: 5, q, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*k - 27 = 3*f - 5*k, 0 = -4*f - 5*k - 1. Let v be ((-20)\/(-8))\/((-2)\/f). Factor 0*q + 2\/5*q**4 + 1\/5*q**3 + 1\/5*q**v + 0*q**2 + 0.\nAnswer: q**3*(q + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = 36*u**2 + 25*u - 6. Let i(t) = 18*t**2 + 13*t - 3. Let c(q) = 3*b(q) - 5*i(q). Is c(7) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*k**3\/7 - 54*k**2\/7 + 436*k\/7 - 144.\nAnswer: 2*(k - 14)*(k - 9)*(k - 4)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 50808125 divided by 10161625?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Determine y, given that 2*y**2\/15 - 28*y\/15 + 22\/5 = 0.\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/2, -1, 3, -2\/9 in decreasing order.\nAnswer: 3, -2\/9, -1\/2, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -63, -8, 3\/10, 2\/3, 0.03?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (2\/6)\/(3 - (-264)\/(-90)). Suppose 2*s + l*t + 23 = -12, 5*t = -25. Sort s, 5, 3 in ascending order.\nAnswer: s, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.6 * 19\nAnswer: 11.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put -1400, -3\/128, 0.2 in decreasing order.\nAnswer: 0.2, -3\/128, -1400","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -37 + 31a7aaa?\nAnswer: 31a7a73","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 + (6 - (15 + 5 - 1)).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = j - 47. Let i(a) = 6. What is -5*i(k) - z(k)?\nAnswer: -k + 17","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 5? (a) 2.079 (b) 4\/5 (c) -2\/29\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -4, 965, 3, 4, 0 in ascending order.\nAnswer: -5, -4, 0, 3, 4, 965","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 349 divided by -207.\nAnswer: -349\/207","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 + 887*z - 591*z - 1767*z - 760*z to the form w*z + h and give w.\nAnswer: -2231","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.03 + -1.03. Let w = n - -1.02. Let x = w - -0.38. Sort 2\/3, 3, x.\nAnswer: x, 2\/3, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**1\/r)\/r**(4\/9)*(r\/(r\/(r\/r**(-1\/8)*r)))\/r*r*(r**3*r)\/r assuming r is positive.\nAnswer: r**(337\/72)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -45*m**2 + 3*m. Let c(s) = 13*s. Give c(w(x)).\nAnswer: -585*x**2 + 39*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -3*z + z + 4*z. Let x(r) = 13*r. Calculate c(x(q)).\nAnswer: 26*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (-53630)\/557752 + (6\/(-8) - 1\/(-1))?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 63 - 63.183. Let x = -201381 + 201381.1830081. Let u = x + f. Round u to 6 decimal places.\nAnswer: 0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -2c - 5cd8?\nAnswer: -5d26","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1 - -2. Let u(d) = -d**2 - 3*d - d**s + 0*d**3 + 2*d. Let o be u(-2). Solve 4*k + 4 = z - o, 7 = -5*z + k for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11443286 is divided by 20398?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0, -4, -1\/3, 0.1, -2, 0.3?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a + 2 = 4*p + 38, -42 = -3*a + 3*p. Suppose 3*t + 5*s = 119, t = 3*s + 22 + 13. Suppose -3*q + a + t = 0. What are the prime factors of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 53\/4 - 47\/4. Let x = 190\/21 - 26\/7. Calculate the common denominator of x and q.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**3*((l\/l**(8\/7)*l)\/l*l)\/l*(l*(l*l\/(l**(2\/19)\/l)*l)\/l)**(-1\/11))**5 assuming l is positive.\nAnswer: l**(18310\/1463)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = a**2. Let m(n) = -136571895*n**2. Give d(m(s)).\nAnswer: 18651882503891025*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*z**6 + 2884*z**2 - 1446*z**2 + 10*z**4 - 775*z**2 + 4*z**5 - 1729*z**2 wrt z?\nAnswer: 240*z**3 + 240*z**2 + 240*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6 + -8 + 3 + 13.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -436*x + 419*x + 85 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -12 + (21 - (51 - 30)) - (1 + 0 - 10)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-2)\/(-1) - 0)*207\/18. Suppose -b + 22 = a. Let l = 10 + -5. Sort -2, l, a, 2.\nAnswer: -2, a, 2, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -14, 5, 1.6, 2\/13 in decreasing order.\nAnswer: 5, 1.6, 2\/13, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (8\/11)\/(74\/407)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*f + 30 = -5*p, -5*p + 4*f = 10 + 22 for p.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1166987 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5 - 6 + 2 - 2923*r**2.\nAnswer: -2923*r**2 - 9","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5165477?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sum -1.73751 and -0.19.\nAnswer: -1.92751","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express (-26 + 26 + 17*c**3)*(-44 + 6 + 16)*(1 - 1 + 1) in the form d*c**2 + a*c**3 + q*c + x and give a.\nAnswer: -374","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 265\/11 bigger than -24?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Work out -21576809.72776 + -0.5.\nAnswer: -21576810.22776","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.06633 or 1\/4?\nAnswer: 0.06633","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 - 105*n**2 + n + 2864*n**2 + 2.\nAnswer: 2759*n**2 + n + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 2507591669 to the power of 1\/2, to the nearest integer?\nAnswer: 50076","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 492 minutes after 3:25 PM?\nAnswer: 11:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 18696 and 55176?\nAnswer: 456","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 118797?\nAnswer: 3, 7, 5657","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3? (a) 383 (b) -0.4 (c) 2 (d) 1 (e) 7 (f) -0.52\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -845054 + -57418587.\nAnswer: -58263641","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -4*t**2 - 3. Suppose 0 = -144*i + 23 + 409. What is f(i)?\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 129, 0.011, 2.3, -115.\nAnswer: -115, 0.011, 2.3, 129","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 300 minutes after 12:29 PM?\nAnswer: 5:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3.2216 - 92.\nAnswer: -95.2216","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.02 and 0.56.\nAnswer: -0.0112","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -14, -5, -10, -35, -86?\nAnswer: -169","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -51*x - 15. Let u be n(-11). Suppose 4*v - 2670 + u = 0. What are the prime factors of v?\nAnswer: 3, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -22269 + t**2 + 22269.\nAnswer: t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wwzwzzwzzcwzzc. What is prob of sequence wc?\nAnswer: 5\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-36)\/(-64)*-4*-4*1*1.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 4, -49, 3\/2?\nAnswer: -49","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 174 - 170. Does 4 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1 - -5. Let u be (-1 - 3\/(-6))*-6. Suppose -25 = -2*g - u*s, -l*g - 5*s + 3 = -42. What is the lowest common multiple of g and 6?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*y = -3*i - 5*y + 45, 5*y = 2*i - 56. Solve 5*p - d = 24, 11*d - 13 = -3*p + i*d for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 77422349 to the power of 1\/3, to the nearest integer?\nAnswer: 426","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:15 PM and 3:44 PM?\nAnswer: 149","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m - 21 = -105. Suppose -5*s + 4*g + m + 42 = 0, s = -g + 5. Suppose -2*l = 2*l - 12. What is the remainder when s is divided by l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 8 + -4. Let m be 6\/(-285) - 65311\/160265. What is the third biggest value in -0.1, 1\/3, i, m?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 - ((1 - -3) + -6)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) be the third derivative of -1\/6*w**3 + 0*w**4 + 0 + 0*w**5 + 7*w**2 + 2\/105*w**7 + 0*w + 0*w**6. Find the first derivative of f(p) wrt p.\nAnswer: 16*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s*(s\/s**15*s*s)\/s)\/(((s**9\/s)\/s)\/s) assuming s is positive.\nAnswer: s**(-18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand y**2 - 4*y**2 + 2*y**2 + (-5*y - y - y)*(3*y - 6*y + 2*y).\nAnswer: 6*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -2*o**3 - 2*o**2 - 4*o - 2. Let w = -7 + 5. Let k be g(w). Calculate the highest common factor of 28 and k.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 51 a factor of 612?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -2388556 and 42595073?\nAnswer: 44983629","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -72 + 2 - -139 - 102.\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 5484487, 5484491, 5484493, 5484493?\n\"Answer: -s**2 + 7*s + 5484481","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j = -0*q + q + 4, 4*q - 4*j = -32. Let k(h) = -9*h - 30. Let d be k(q). Let f = -22 + d. Solve -3*b = f*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 - 2 = 3*h + 4*j, -3*h + 20 = -2*j. Suppose -2*c + h*c = 68. Let a = c - -21. What is the greatest common factor of a and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4 times -263514\nAnswer: -1054056","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -293, -283, -261, -221, -157?\nAnswer: -63","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = m**2 + 4*m + 4. Let t = -4 - 0. Let v be u(t). Suppose -3*y - v = -4*y. List the prime factors of y.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) be the second derivative of f**9\/3024 + 5*f**8\/1344 + f**7\/126 - 5*f**4\/12 + 16*f. Let q(p) be the third derivative of r(p). Factor q(l).\nAnswer: 5*l**2*(l + 1)*(l + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 19493250 by -1.\nAnswer: -19493250","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xrmr when four letters picked without replacement from {m: 1, t: 7, x: 1, a: 3, r: 4}.\nAnswer: 1\/3640","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 128587669 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*r - 2*a - 25 = 0, -2*r + 6*r = -4*a - 32 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 93760976?\nAnswer: 2, 97, 60413","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -8004080.9917 - -0.1887\nAnswer: -8004080.803","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -9.3 * 0.1\nAnswer: -0.93","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = 2*l**3 + 22*l**2 + 17*l + 16. Determine m(-9).\nAnswer: 187","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 13 - 7. Suppose -y = -5*w - 1. What is the units digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 355 - 353. Solve 0 = -u*c - 6 + 4 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 592.4 smaller than -171.67?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = 2*l**2 + 18*l - 3732. What is u(39)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = l**3 + 34*l**2 + 241*l - 7. Determine v(-10).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence skkk when four letters picked without replacement from ssssklkssskssssslls.\nAnswer: 13\/15504","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = 87*d - 963. Determine t(11).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 603.3 from -56435652.\nAnswer: -56436255.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2504635, 10018544, 22541727, 40074184, 62615915?\nAnswer: 90166920","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.017 - -40.983. Let f = s + -41. Is -1\/11 at least f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from svvuv. Give prob of picking 2 v and 1 u.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 20020 (base 3) in base 13?\nAnswer: cc","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*z + 16*z = 2. Suppose p - z*s = 66, -s - 4*s - 81 = -p. Does 12 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3299641\/61 + 54095. Do n and 0.1 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -3\/5 (b) 7 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p = 4*d - 7 + 27, 3*d + 6 = 0. Suppose -7 + p = -4*y. Which is smaller: -2\/91 or y?\nAnswer: -2\/91","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 4515.506 micrograms?\nAnswer: 4.515506","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -n**2\/2 - 479*n\/2 - 239 = 0.\nAnswer: -478, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17 - 55 = 2*w + x, -5*w - 93 = 2*x. Let q be (w + -7)*(-1 + 2\/3). Let r(o) = 8 + 0 - o - q. Let d(n) = -23*n**2. Determine r(d(a)).\nAnswer: 23*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 494545?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put 9, 5, 2, -5 in ascending order.\nAnswer: -5, 2, 5, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 18 - -18 - -2 - (1 - -7)?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 4406669 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(363) - (2*sqrt(363))**2*-3)*-1.\nAnswer: -4356 - 11*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -21 by 3.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -t**3 + 4*t + 1. Let r be n(-2). Is r*(112 + -3)*1 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -13, 3, 1309 in ascending order.\nAnswer: -13, 3, 1309","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*z + 863 - 173 = 0. What is the highest common divisor of 115 and z?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00023794 to six decimal places.\nAnswer: -0.000238","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -527, -419, -311, -203, -95?\n\"Answer: 108*q - 635","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-432)\/504 - (1\/3 - 3652\/(-231))?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.06 - -2.94. Let w = d - 3.1. Let p = 1.8 - 4.8. Which is bigger: p or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -1633 + -4?\nAnswer: -1637","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*r**2 - 2 + 2 + (-1 - 2*r + 1)*(3*r - 4*r + 3*r) - 4*r**2 + 3*r**2 + 4*r**2 + r + 2*r**2 - r - 4*r**2 + 5*r**2 - 2*r**2.\nAnswer: 2*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 2, u: 1, r: 1, j: 1, v: 4}. Give prob of sequence jr.\nAnswer: 1\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) be the third derivative of -g**5\/90 - g**4\/2 - 9*g**3 - 24*g**2. Factor c(h).\nAnswer: -2*(h + 9)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 3 - 4)*(3*c**2 - 4*c**2 - 5*c**2) + 3*c**2 + 6*c**2 - 2*c**2.\nAnswer: 19*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1513 + 1513 - 1155*t**3 - 1711*t**3.\nAnswer: -2866*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 200\/360*(-4)\/(-10). Sort j, 20\/9, 14.\nAnswer: j, 20\/9, 14","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 11345*v**5 + 2*v**2*y - 102*v*y + v + 3*y + 2 wrt v?\nAnswer: 226900*v**3 + 4*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) be the second derivative of 0 + 1\/20*r**5 + 6*r + 1\/12*r**4 + 1\/6*r**3 + r**2. Determine p(0).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 1005*o + 413*o + 137546 for o.\nAnswer: -97","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:46 PM and 5:19 AM?\nAnswer: 693","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 28 + -14. Let h = f - 8. What are the prime factors of h?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -6133 + 10845. What are the prime factors of w?\nAnswer: 2, 19, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 351\/429*66\/9*(-2)\/20?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s - 4*g - 14 = 0, -4*g - 5 = g. Let o be 3288\/42 - s\/7. What is the highest common factor of o and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (c - 2 + 2)*(12*c**2 - 18*c**2 + 23*c**2) + (3 - c**2 - 3)*(-2*c - 2*c + 3*c) + 0*c**3 - c**3 + 3*c**3.\nAnswer: 20*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = 8*v - 77. Give n(12).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(sqrt(1872) + (-1*sqrt(1872) + sqrt(1872) - sqrt(1872))*5)*-4)**2.\nAnswer: 1916928","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 55 by 9.\nAnswer: 55\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -306 - -333.8. What is k rounded to 0 decimal places?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-12 + (-527)\/(-51))*1\/(-5)*5. Which is the closest to -2\/11? (a) 0.2 (b) -0.65 (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = 2*o**2 + o**2 + 0*o**2. Suppose -6 + 10 = i. Let f(t) = 6*t. Let m(y) = -y. Let g(l) = i*f(l) + 27*m(l). What is u(g(r))?\nAnswer: 27*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -7, 7, -100\/9, -3?\nAnswer: -100\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 9905 to the power of 1\/3, to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13553*h**3 - 3453*h**3 - 17008*h**3.\nAnswer: -34014*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -6 + 23*u**2 - 24*u**2 + 1 - 6*u. Determine y(-5).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 0.3543112km?\nAnswer: 354311200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -4*o**3 + 9*o**2 - 458*o - 900. Calculate m(-2).\nAnswer: 84","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from tttttttttttdttttttt. What is prob of picking 1 d and 3 t?\nAnswer: 4\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -653 (base 12) in base 3?\nAnswer: -1021100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-7)\/(-3)*(-34)\/(374\/(-1947)) is divided by 217.\nAnswer: 196","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 101000100001010 (base 2) to base 5\nAnswer: 1130441","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -3*z - 3*z + 1 - 7*z**2 - 9. Let r(q) = -26*q**2 - 5*q + 15*q**2 - 7 + 5*q**2. Let m be ((-6)\/(-8))\/((-3)\/24). What is m*r(g) + 5*y(g)?\nAnswer: g**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 31\/1900304 and 15\/275044.\nAnswer: 20903344","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 110 + 18. Let m = 13 + -15. Let z be m*3\/(-9)*24. What is the greatest common divisor of z and q?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -160 - 49087 = 407*m for m.\nAnswer: -121","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) be the first derivative of 7*x**3 - 16*x + 1466. Let z(j) = -4*j**2 + 3. Give -4*n(b) - 22*z(b).\nAnswer: 4*b**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(272) - (sqrt(272) - (sqrt(272) + 2 + sqrt(272))))*-1 - (4 + -2*sqrt(272)))*2)**2*-1.\nAnswer: -144","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 841867 from -0.3745.\nAnswer: -841867.3745","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor -x**2 - 25505*x + 25506.\nAnswer: -(x - 1)*(x + 25506)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = 8693*u - 3294608. Determine f(379).\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -155243 - -44?\nAnswer: -155166","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = n**3 + 2*n**2 - 4*n - 2. Let o be (-1 + 2)*(-2 - 3). Let t = o - -6. Calculate the remainder when t is divided by x(-3).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1378924 and 344?\nAnswer: 172","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*i**2 - 6*i**3 + 18*i**3 - 11*i**3)*(-2 + 7 + 18).\nAnswer: 23*i**3 - 69*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 63349 * -2\nAnswer: -126698","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -25*b - 1. Let r be f(-1). Calculate the common denominator of 4\/14 + (-2595)\/(-252) and 1 + 4\/(-12) - 223\/r.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = 4*k + 10. Let l be i(-5). Let s = 12 + l. Suppose 74 = s*y + 12. Is y 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 196873509?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e, 1 h, and 1 k when three letters picked without replacement from kekhpp?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(sqrt(700)*-1 + 1 + -2 - ((3 + 1*sqrt(700))**2 + sqrt(700) + -2)) + -3.\nAnswer: 400*sqrt(7) + 3537","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -6 + 11. Let s = -727 - -734. Which is the nearest to s? (a) m (b) 0.2 (c) 1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p - 1 = -0. Let z be p*19 + -7 + 8. Suppose 0 = -2*a - 4*x, -2*x = -5*a + 12 - 0. Solve a*d - z = -3*d for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*r + r - 843. Find the common denominator of -6\/29 and 4\/(-14) + r\/28.\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -17\/5805 and -47\/58113?\nAnswer: 37482885","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.1 or -7680190?\nAnswer: -7680190","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xf when two letters picked without replacement from {n: 2, p: 5, d: 2, f: 8, c: 2, x: 1}.\nAnswer: 2\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -18*c**6*q**2 + 382*c**6*q - 9*c**2*q**2 - 3*c**2 + 52*c*q**2 wrt c.\nAnswer: -2160*c**3*q**2 + 45840*c**3*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bbbbbbbhbbbbbbbbbbhb. Give prob of picking 1 b and 2 h.\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*x - 3*x - 10*x**2 + 7*x + (x + 2 - 2)*(-2*x + 4*x - x) - 2*x**2 + 2*x**2 + 2*x**2.\nAnswer: -7*x**2 + 2*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 346899927 to the nearest integer?\nAnswer: 18625","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 693 + 5620 + 701 + m**3.\nAnswer: m**3 + 7014","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -18 in -8, -1, -52?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1\/(-3) - 65198\/(-42)?\nAnswer: 2, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -30 - -78. Let v = f - 142\/3. Let x be 0 - ((0 - -1) + -2). Which is smaller: x or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 44911153?\nAnswer: 7, 2351, 2729","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = 13*p**2 + 9*p. Let o = -5 + -4. Let v(c) = -3*c**2 - 2*c. Give o*v(k) - 2*i(k).\nAnswer: k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -17, 4, -11342, 2 in increasing order.\nAnswer: -11342, -17, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -41 + 40. Let q = -175\/4 - -1209\/28. Let n = q + 1\/14. Does j = n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:53 AM and 3:57 AM?\nAnswer: 4","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x = -g - 415, -g + 2*g = 2*x - 415. Let m = -90 - g. What is the units digit of m?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -499*h + 1843. What are the prime factors of x(-33)?\nAnswer: 2, 5, 1831","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 88909247 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4 - 153037*q**2 + 7 + 1 - 4 + 153043*q**2.\nAnswer: 6*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put -1.4, -1\/5, -36, -2\/3, 3\/2, -4 in ascending order.\nAnswer: -36, -4, -1.4, -2\/3, -1\/5, 3\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = 26*b**2 + 1028*b + 90. What is the smallest common multiple of 36 and i(-40)?\nAnswer: 3420","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*-5*(sqrt(4800)*-1 + 2))**2*5.\nAnswer: -720000*sqrt(3) + 21618000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 0.6, -4, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 195077 to the nearest integer?\nAnswer: 442","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -3*f - 112. Calculate h(-11).\nAnswer: -79","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*j**2\/4 + j\/2 + 1\/4.\nAnswer: -(j - 1)*(3*j + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((j**(-3\/2)\/j**(-2))\/(j**(-2\/9)*j**(1\/3)))**(-2\/39))**4 assuming j is positive.\nAnswer: j**(-28\/351)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -18246 - -18246. Factor 3\/5*t**3 + 0*t + o - 3\/5*t**5 + 0*t**4 + 0*t**2.\nAnswer: -3*t**3*(t - 1)*(t + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 110*d**2*x - 255319*d**2 + 10350076*d + x wrt d?\nAnswer: 220*x - 510638","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -73 + -62 + 116 + -1 + -8.\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 31548?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve f**2\/6 + 16076*f - 8592505\/6 = 0.\nAnswer: -96545, 89","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5\/(5\/6)*((-682)\/(-594))\/(-31)?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = 278*l**2 - 7*l - 1. What is j(-1)?\nAnswer: 284","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange t + 280*t**4 - 437 + t - 270*t**4 + 2*t**3 - 5*t**2 + 415 to the form p*t**2 + h*t + n*t**4 + k + j*t**3 and give n.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 655 minutes after 7:49 PM?\nAnswer: 6:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1270 - (-7 - (-3 + -1)).\nAnswer: 19, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*i + 15. Suppose -i*r = -2*r + y - 10, r = -2*y + 10. Suppose 0 = -r*c + 38 + 12. What is the tens digit of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33 = -15*v + 26*v. Suppose -269 = -3*a - 2*y, -v*a + 6*y + 253 = 4*y. Is a >= 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/(26*11\/(-4147)).\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*q + 3*c + 2*c + 587, 0 = 2*q - 4*c - 298. Let t be (6\/(-9))\/(4\/(-66)). What is the greatest common factor of q and t?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = 31*i**3 + 12*i**2 - 5. Let f(d) = 57*d**3 + 22*d**2 - 9. Let b(w) = 11*c(w) - 6*f(w). Let m(t) = 2*t**3 - 6*t + 3. Give 3*b(h) + m(h).\nAnswer: -h**3 - 6*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -12*x**4 + 4*x**3 - 3*x**2 - 3*x - 11. Let i(u) = 13*u**4 - 5*u**3 + 4*u**2 + 4*u + 10. Let l(y) = 3*i(y) + 4*v(y). Differentiate l(z) wrt z.\nAnswer: -36*z**3 + 3*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -59 + -2 + (16 + 93 - 87).\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1*3)\/((18\/(-80))\/(264\/440))?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 3864 and 56.\nAnswer: 3864","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -828828 divided by -4004.\nAnswer: 207","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-618)\/(-1545) - ((-2)\/8 - 1693\/(-20)). Which is smaller: s or -86?\nAnswer: -86","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1383\/284 + 64\/355. Find the common denominator of (-36)\/(-8)*((-12)\/80 - 0) and m.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of ((-3)\/(-2))\/(-3)*126498\/(-29).\nAnswer: 3, 727","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-14)\/(-84))\/((-2)\/(-4))\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -742020 divided by -596?\nAnswer: 1245","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 19230812 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3 by 13078.\nAnswer: -3\/13078","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 21443?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 15*k**2 + 5*k - 12*k**2 - 7*k**3 - 7*k + 4*k to the form w*k + t + b*k**3 + z*k**2 and give z.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = 6*j + 1. Let i(b) = b - 1. Let f(u) = -i(u) - v(u). Let p(s) = 5*s. Calculate f(p(y)).\nAnswer: -35*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ddddgdddddddddggdg. What is prob of picking 2 d?\nAnswer: 91\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -5230 + -131?\nAnswer: -5361","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0 + 0. Suppose -14 = -z*h - 2*h. Is h prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*t = 12*t + 2*t. Which is the third biggest value? (a) 5\/3 (b) -1 (c) t (d) -0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -686*h**3 + 19*h**2 + 145*h**3 - 506*h**3.\nAnswer: -1047*h**3 + 19*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is -88514 > -88513?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -2*w**2 - 43*w - 183. Determine o(-6).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:44 PM and 8:19 PM?\nAnswer: 155","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2.41 * -21182.\nAnswer: -51048.62","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t**(-6)*t*t**(-2\/7)*((t\/(t\/(t*t**(-1))*t))\/t*t)**(-28)*(t**0*t*t**(-1\/7))\/(t**6*t*t*t*(t\/(t*t**(1\/2)))\/t) assuming t is positive.\nAnswer: t**(225\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -49\/60065 and -34\/615?\nAnswer: 180195","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -7*i**2 + 8*i + 26. Let u be k(-8). Let z = u - -491. Solve -9*y + z*y = -8 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + -2*(((sqrt(19) - (sqrt(171) + 1)) + 0)**2 - (4*((sqrt(95) - (2*sqrt(95) - sqrt(95))) + sqrt(95) - sqrt(95)))\/sqrt(5)).\nAnswer: -150 - 8*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 512431603 to the nearest integer?\nAnswer: 22637","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 312949205 is divided by 754?\nAnswer: 751","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -1. Suppose -57*j + 55 = -68*j. Let d(s) = -2*s + 5. Give j*x(k) - d(k).\nAnswer: 2*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2 + sqrt(704))*1)**2*1.\nAnswer: 32*sqrt(11) + 708","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*j - 28 + 237 = -21*i, -j - 3*i - 31 = 0 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -325, -326, -327?\nAnswer: -328","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -5, 222 in descending order.\nAnswer: 222, 2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 5 + -8. Let b be 7*(w + 23\/7). Let v(j) = 1 + 0 + j - 3. Determine v(b).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 15976 and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -12, 8 in ascending order.\nAnswer: -12, 1, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*c - 6*c + 4*j + 24, -j + 66 = 4*c. Calculate the remainder when 63 is divided by c.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -103*g + 99*g + 72. Let s be 1070\/g + 1 - (-12)\/(-27). Calculate the highest common factor of s and 105.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -9*r**3 - 7*r**2 + 33*r - 8. Let f(w) = 16*w**3 + 14*w**2 - 65*w + 15. Let i(t) = -6*f(t) - 11*n(t). What is the second derivative of i(p) wrt p?\nAnswer: 18*p - 14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 49 divide 4459?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1382.\nAnswer: 2, 691","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -80538 divided by 116?\nAnswer: -40269\/58","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 0\/(-2 - (3 + -6)). Let b(m) be the first derivative of 1\/18*m**3 + 0*m**2 + k*m + 1\/30*m**5 - 6 + 1\/12*m**4. Factor b(l).\nAnswer: l**2*(l + 1)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4235731147 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 - 1 + q + (-1 + 1 + q)*(2 + 3 - 4) + 3*q + q - 2*q + 0*q + q + q + (2 - 2 + 2)*(44*q - 30455 + 30455) in the form z*q + i and give z.\nAnswer: 94","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 0.8066698 micrometers?\nAnswer: 806.6698","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:03 PM and 12:28 AM?\nAnswer: 505","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 34291596 a multiple of 144?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -43, -38, 17, 140, 349?\n\"Answer: 3*d**3 + 7*d**2 - 37*d - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(sqrt(475) + sqrt(475)*-1).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = 475*p**2 + 25*p + 88. What is the tens digit of a(-9)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 319 rounded to the nearest ten?\nAnswer: 320","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(2\/9))**(-1\/18)*s**(-1\/19)\/(s**(-1\/7)\/s) assuming s is positive.\nAnswer: s**(11612\/10773)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3713 + -3741.99. Let v = f - -29. Which is the smallest value? (a) 5 (b) v (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27181*l - 6 = -27186*l + 19 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 109601766 to the power of 1\/7, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put -29, -3, 4, -6, -1 in decreasing order.\nAnswer: 4, -1, -3, -6, -29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*a - 3*a = 20. Suppose o - 4*x - 73 = 0, 2*o + x + 230 = a*o. Calculate the highest common factor of o and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c + 497 - 494 = 0. Solve u = -c*p + 1, 2*u - 4 = -2*p - 6 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1063524 a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*d - 12228 - 5986 = 0. List the prime factors of d.\nAnswer: 1301","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 3, f: 17}. Give prob of picking 2 f and 2 e.\nAnswer: 8\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Do -13 and -3\/16 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1463 is divided by 207?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = o**2 - o. Let t(s) = 2*s**2 - 2*s + 1. Suppose 53 - 104 = 17*x. What is x*d(c) + 2*t(c)?\nAnswer: c**2 - c + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -130*x + 909. Let d be z(7). Let h = 5 - 8. Let w be (10\/(-6) - -1)*h. What is the closest to 2\/7 in -2\/3, w, d?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 525 minutes before 4:46 AM?\nAnswer: 8:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 16030 is divided by 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -8, -1, -3.8?\nAnswer: -3.8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -24? (a) -1.191 (b) 0.4 (c) -4 (d) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = g**2 - 4*g + 2. Let v be s(7). Let f = -21 + v. What is the remainder when 81 is divided by 21\/1 + -2 + f?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 909862?\nAnswer: 2, 454931","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d and 1 l when two letters picked without replacement from dldc?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nnndnndn. Give prob of sequence ddn.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 57 + -56.36. Let t = 1.1 - 0.1. Let y = t - n. Round y to 1 decimal place.\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = o. Let v(r) = r. Let a(y) = -3*v(y) + 2*w(y). Let u(i) = -i + 2*i - i + 2*i. Determine u(a(q)).\nAnswer: -2*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = 4*f**2 + 70. Let x(w) = -32*w. Calculate d(x(s)).\nAnswer: 4096*s**2 + 70","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + -1*((sqrt(13) + -1)**2 - sqrt(13)).\nAnswer: -16 + 3*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -32230313 or -32230322?\nAnswer: -32230322","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1538906, 1538909, 1538912?\nAnswer: 1538915","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = k - 511 - 184. Let r = k - 290. List the prime factors of r.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -8*f**3 - 5*f**2 - 3259*f + 6534*f - 3271*f to the form o*f + q + z*f**2 + w*f**3 and give z.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 85 and 9766109?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -9*t - 10. Let h(f) = -22*f - 24. Let j(o) = -5*h(o) + 12*p(o). Let m(k) be the second derivative of 5\/3*k**3 + 0 + 0*k**2 + k. Calculate j(m(d)).\nAnswer: 20*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 14006, 56015, 126032, 224057?\n\"Answer: 14004*j**2 - 3*j + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -y**2 + 17*y + 2073. Calculate g(53).\nAnswer: 165","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(17)*-1 - -6*(1 + sqrt(17)))**2 + 3.\nAnswer: 60*sqrt(17) + 464","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (3\/(-2))\/((-12)\/(-8)). Let z be ((-8)\/(-152))\/(p\/(-6)). Let q be 49\/(-28) + 3 - (-1)\/(-4). Is q at most z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -15135*o*x**2 + 1079*o - 3 wrt x.\nAnswer: -30270*o*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -198*b + 1158 + 783 = -69*b - 5283 for b.\nAnswer: 56","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 - -4 - (164 + -202).\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -70, 1, -2, -32, -1 in descending order.\nAnswer: 1, -1, -2, -32, -70","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -7363 or 3\/2?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-67*x**4 - 13*x**2 - 6*x**2 + 19*x**2)*(5 - 8 + 6) to the form g + p*x**4 + l*x + z*x**3 + c*x**2 and give p.\nAnswer: -201","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = 18*l - 256. Let q(f) = 7*f - 85. Let j(g) = -6*c(g) + 17*q(g). Differentiate j(o) wrt o.\nAnswer: 11","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 97974 = -272?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 4448399701 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (57\/6 - 9)*6*73. Suppose -205 = -7*k - i. Let r = -245 + 3187\/13. What is the nearest to k in 0, -0.3, r?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 390315040 and 160.\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Determine u, given that 3*u**4 + 152061*u**3 + 3800250*u**2 + 30398700*u + 75993000 = 0.\nAnswer: -50662, -10, -5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + -4 + sqrt(19) + sqrt(19) - (sqrt(19) + (sqrt(304) - (sqrt(304) + 1))).\nAnswer: -3 + sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 4440869491 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put together 30 and -1007656596120.\nAnswer: -1007656596090","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 106*o = 93*o + 8780200. Round o to the nearest ten thousand.\nAnswer: 680000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -10 - -20. Suppose 5*j - 3*k + 1 = 5, 2*j = -3*k + b. Suppose 0 = -2*p - 2*y + 1 + 1, -5*p - 4*y = -j. Which is greater: -0.02 or p?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -212111 (base 5) in base 6?\nAnswer: -53044","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 68 divide 1513?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 560, 1306, 2520, 4172, 6232, 8670, 11456?\nAnswer: 14560","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -29*m**2 + 111*m + 25. Give n(4).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -56, -210, -466, -824, -1284?\nAnswer: -1846","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 0.0725 * 188\nAnswer: 13.63","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -102300031 - 2?\nAnswer: -102300033","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.074419 to 2 decimal places.\nAnswer: -0.07","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 3 + -714a?\nAnswer: -7147","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand j**2 + j**4 - j**2 - 3*j**4 + 5*j**4 + 0*j**4 + (0*j**3 - 4*j**3 + 3*j**3)*(106*j + 68*j - 67*j).\nAnswer: -104*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*v**5 + 55 + 8*v**2 - 12*v - 12*v**4 + 8*v**3 - 100 + 49.\nAnswer: 4*(v - 1)**4*(v + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h and 2 n when three letters picked without replacement from yhnqqxnnnyxxknq.\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: (192\/(-16))\/(4\/2)*6\/9\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = 3*p + 28. Let v be c(-6). Suppose 5*t + 2800 = v*t. Does 28 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1.69*0.6\nAnswer: -1.014","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/4 in -4, 0.25, 118, 5, -2\/19?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 958 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 22 divided by -13\nAnswer: -22\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 342 - 302. Let x = a + 233. Does 21 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -504 + -329. Is s\/(-5) + 10\/25 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-5)\/10 + 4)*-6. Calculate the common denominator of 0 + -2 - (194\/(-24) + -3) and l\/(-5)*30\/(-12).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 286*y = 38732 - 29866 for y.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7429?\nAnswer: 17, 19, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gnyc when four letters picked without replacement from {c: 5, k: 1, g: 3, n: 1, w: 2, y: 3}?\nAnswer: 1\/728","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -u**3 + 13*u**2 - u + 10. Determine h(13).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -20 - ((8 - 12) + 17 + -7).\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -24 - -32. Factor q*x**2 - x**3 + 0*x + x + 3*x + 5*x**3.\nAnswer: 4*x*(x + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1010000 (base 2) to base 11.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 4 + 0. Suppose -s*k = 3*i - 48, 5*k + 28 = 2*i - 4. What are the prime factors of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5 - 23\/((-230)\/(-40))\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 480 minutes before 1:21 PM?\nAnswer: 5:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*v = -5*v - 3 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2 + 2.5. Let i be -1*3*(0 + 1\/3). Let v(d) = -d**3 + 5*d**2 + 8*d - 8. Let w be v(6). Sort i, w, x in descending order.\nAnswer: w, x, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-1)\/3)\/((-6)\/216). Let f be 2 - 1\/1 - -5. What is the greatest common factor of f and i?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a + a + 3 = 0. Suppose a*o - 276 - 357 = 0. Is o a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1 - 1 - 2*s**3 + (-2*s**2 + 1 - 1)*(608*s + 63948 - 63948) + (2*s**3 + 2*s**3 - 3*s**3)*(-3 - 1 + 2) - 3*s**3 - 1 + 10*s**2 - 10*s**2.\nAnswer: -1223*s**3 - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 37869603 to the power of 1\/3, to the nearest integer?\nAnswer: 336","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 37773\/21580 - 2\/5395. What is the smallest value in -1\/2, 3, -0.4, -2\/9, w?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 5417845 and 1635.\nAnswer: 545","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express ((1 + 9 + 11)*(4 - 3 + 2) - 3 - 4 + 5)*(-y + 2*y - 2*y)*(-2 + 27 - 2) in the form m + t*y and give t.\nAnswer: -1403","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2697*l + 2875*l + 75 + l**2 + 442.\nAnswer: l**2 + 5572*l + 517","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -7 + (-3 - 1 - -6 - -2).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 2216280 to the nearest one hundred thousand.\nAnswer: 2200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = 12*j**2 - 68*j**2 - 5*j**2. Let t(v) be the first derivative of 5*v**3\/3 - 75. Determine q(t(f)).\nAnswer: -1525*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cr when two letters picked without replacement from ccrl?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = l**3 + 9*l**2 + 6*l + 5. Let h be 3\/((-9)\/5)*-3. Suppose -26 = h*o + 14. What are the prime factors of d(o)?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6*42\/70*(-125)\/45.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -8 or 37\/133?\nAnswer: 37\/133","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand -7*i**5 + 10*i**5 + 3*i**5 + (179*i - 58*i + 66*i)*(-2 + 0 - 1)*(-i**2 + 0*i**3 - i**4 + 0*i**3).\nAnswer: 567*i**5 + 561*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 27*x**2 + 77*x**2 + 0 - 99*x**2 + 2 - 2.\nAnswer: 5*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1 + sqrt(396) + (sqrt(396)*3 - sqrt(396) - sqrt(396)))*6)**2 + (sqrt(44)\/(4*sqrt(4) - sqrt(4)) + sqrt(11) - (2 + sqrt(11)*3)).\nAnswer: -2597*sqrt(11)\/3 + 57058","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 734, 1459, 2184, 2909?\nAnswer: 3634","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*d - 38 + 5. Suppose 9*t = d*t - 64. Suppose -a + 4*b = -t, 2*b + 196 = 4*a + 54. What is the remainder when a is divided by 13?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 41932\/(-33)*(-36 - -18) a multiple of 44?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 600324?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9664.\nAnswer: 2, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 948702.\nAnswer: 2, 3, 17, 71, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 383113697 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 55.173 rounded to the nearest 10?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3\/2)\/(9\/1).\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 25460, 50865, 76270, 101675?\n\"Answer: 25405*b + 55","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s - 66 = -3*a, -13*a + 9*a + 85 = 5*s. Solve -6*q + q = -4*u + 25, 5*q + a = -4*u for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = 4*u**2 + 56*u - 597. Is l(-85) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 48862, 48845, 48794, 48691, 48518, 48257, 47890, 47399?\n\"Answer: -3*w**3 + w**2 + w + 48863","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a hour in seconds?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3.3 + -17125144466.\nAnswer: -17125144462.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 18237 is divided by 76?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 30832220 to the power of 1\/10, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 99896049?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 40591 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -18*k - 2. Let r be v(-3). Let c = r - 30. Let z = c + -14. Calculate the remainder when 23 is divided by z.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 14, p: 6}. Give prob of picking 4 p.\nAnswer: 1\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: Let j be (-1 - 7) + 2 + 3\/1 - 5624\/(-456). Suppose -1\/6*c**4 + 38\/3*c + j + 1\/6*c**3 + 5*c**2 = 0. Calculate c.\nAnswer: -2, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = j**3 - 16*j**2 - 18*j + 16. Let m be z(17). Let r(b) = b - b - b**3 - b**2. Let q be r(m). Solve q = w - 6*w + 15, -3*w - 6 = -3*u for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -6*h**2 + 8*h + 2. Let s(b) = -5*b**2 + 4*b**2 + 7*b + 2 - 4*b**2. Let m(x) = -4*a(x) + 5*s(x). Let q be 9 + 0 + 20\/(-5). What is m(q)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 284570*d**4 + 9276 wrt d.\nAnswer: 1138280*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13867 is divided by 579?\nAnswer: 550","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -20.126 + 21.126. What is the second smallest value in 3, f, -10, -0.3, -1\/4?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2411574 to the nearest integer?\nAnswer: 134","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z and 1 b when two letters picked without replacement from {c: 1, b: 1, r: 1, z: 1, x: 1}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = 3*t - 1. Suppose 3*g = -a - 0*a, 5*g = 5*a + 20. Let v be p(g). Suppose -9 = 3*c - 0*c, -v*x = -5*c - 45. List the prime factors of x.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -525698, -525714, -525734, -525758, -525786, -525818, -525854?\n\"Answer: -2*s**2 - 10*s - 525686","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000504584464 rounded to 7 decimal places?\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -63343651, -63343652, -63343653, -63343654, -63343655?\nAnswer: -63343656","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from eeaeaea. Give prob of sequence aaea.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 at most -564\/30701?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 893440781429 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 67\/((-720)\/722 - (5 + -6)). Suppose -3*b - 5*h = -24182, -b + 4*h = -4*b + d. Is b prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 36e + 1904?\nAnswer: 1c72","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-264)\/(-170995)*(-24 + 23)\/((-1)\/(-5)). Is -1 at most as big as d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:20 PM and 11:14 PM?\nAnswer: 54","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + sqrt(832)*-2 + sqrt(832).\nAnswer: -8*sqrt(13) - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-2)\/(-2) - 0 - -1. Suppose 0 = -0*b + q*b - 4. Differentiate -5*l - 1 + 5*l - b*l**4 wrt l.\nAnswer: -8*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = t**2 - 2*t. Let m be n(-5). Let z = 66727 - 66717. What is the greatest common divisor of z and m?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.0044 - -199.9956. Let x = f - 203. Let u be 3 - (9\/3 - 2). What is the biggest value in x, 0.5, -0.5, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 57637 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y + 40 = 6*y. Let l = y + 8. Are l and 0 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:45 AM and 10:32 PM?\nAnswer: 707","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 21 + -5. Suppose 0 = f + 4*p - j, -4*f + 2*p + 82 = -2*f. What is the smallest common multiple of 44 and f?\nAnswer: 396","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -108*q**3 - 2*q**2 + 5*q - 1. Let x(i) = 110*i**3 + 2*i**2 - 4*i + 1. What is -2*a(c) - 3*x(c)?\nAnswer: -114*c**3 - 2*c**2 + 2*c - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide 59 by 2619568.\nAnswer: 59\/2619568","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 75134 - 0.0739528.\nAnswer: 75133.9260472","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-2)\/(-24))\/((-2)\/(-4)). Suppose 5*t = 23 - 18. Suppose -39*n + 6 = -36*n. Which is the nearest to n? (a) t (b) y (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 12740 + -12743. Put 4\/15, -1, -2, -1\/18, k in ascending order.\nAnswer: k, -2, -1, -1\/18, 4\/15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 5 - 4.3. Let c = -0.3 + q. Let z = 0.5 - c. Which is greater: z or 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-63)\/(-756))\/(1\/3)?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in -4, -1170\/343, -3, 0.1?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = 3*b**2 + 2*b + 31. Let q be i(-13). Calculate the highest common factor of 32 and q.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 210 and 78948960.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-24)\/15)\/(4\/(-10)). Let l be a\/2 - 2*5. Which is greater: l or -7?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 182536142.7 to the nearest ten thousand.\nAnswer: 182540000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 282053?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 11, 9, -5, -37, -93?\n\"Answer: -t**3 + 5*t + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 35 divide 234889335?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -109 + 116. Solve -k*n = -8 + 22 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*s**2 + 0*s**2 + s**2)*(1540*s**2 - 2535*s**2 + 1504*s**2) to f + d*s + o*s**4 + p*s**2 + t*s**3 and give o.\nAnswer: 509","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -4 (b) -1 (c) -40 (d) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 5799 to the power of 1\/10, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3*s**2*y**5 + 3*s**2*y**2 + 14237*s*y**5 - 131*s*y**2 + 19*y**2 wrt y?\nAnswer: -180*s**2*y**2 + 854220*s*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: (-3 - 6 - (188 + -188)) + -12\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in -22, -1\/3, -323075?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1143181287.\nAnswer: 3, 151, 841193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 119 divide 137336?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 at most -1685?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = 2*v**2 - 8*v - 9. What is the hundreds digit of i(10)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = 9*l**5 - 7*l**3 - 3*l**2 + 5*l + 5. Let v(z) = -4*z**5 + 4*z**3 + 2*z**2 - 2*z - 2. Let j(q) = 2*o(q) + 5*v(q). Solve j(c) = 0 for c.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:57 AM and 8:49 PM?\nAnswer: 532","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2.8, 215\/22, 2\/3 in increasing order.\nAnswer: 2\/3, 2.8, 215\/22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -179*p**5 - p**2 - 11*p?\nAnswer: -10740*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 4\/(-14) + (-1)\/(210\/(-130)). Which is smaller: k or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*u + i + 7, -2 = 9*i - 7*i for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v - 218 = 5*a, 0 = -5*a - 21*v + 22*v - 219. Sort 3\/7, 0.5, -0.5, -4, a in decreasing order.\nAnswer: 0.5, 3\/7, -0.5, -4, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -k**2. Let m(b) = -1568*b**2 - 6*b - 48. Let x(z) = -3135*z**2 - 13*z - 104. Let y(n) = -13*m(n) + 6*x(n). Give y(w(v)).\nAnswer: 1574*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pzb when three letters picked without replacement from zrbbbbqzbpz.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -38157*-7953\nAnswer: 303462621","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rrrjrrrrbrr. Give prob of sequence jr.\nAnswer: 9\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 3 + 2)*(45*c**3 - 13*c**3 + 22*c**3)*(-6 + 10 + 4).\nAnswer: 1296*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -1d54c8ed + 5?\nAnswer: -1d54c8e8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*q + 3*y - 14 = 17*q, 0 = 2*y + 4. What is the greatest common factor of 8 and q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7383.89 less than -7530449?\nAnswer: -7537832.89","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*x - 49*x**2 + 20*x**2 - x**4 + 27*x**2 + 9 in the form l*x**2 + o + k*x**3 + d*x**4 + s*x and give s.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -2*z**3 - 11*z**2 + 4174*z + 33329. Calculate i(-8).\nAnswer: 257","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 5 + -1. Let s = 5 - -3. Let z = s - d. What is the remainder when z is divided by 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find u, given that 5*u**3\/4 + 35*u**2\/4 + 5*u - 15 = 0.\nAnswer: -6, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express (-v + 0 + 0 + (5 - 5 - v)*(-2 + 3 - 3) + 5 - 5 - 19*v)*(-10 - 7*v**2 + 10) in the form s*v + w*v**3 + c*v**2 + q and give w.\nAnswer: 126","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 26920?\nAnswer: 2, 5, 673","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 255?\nAnswer: 3, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 57.3 - 52.228. Let o = s - -0.028. Let t = -5 + o. Is t < 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = 19*u**3 + 53*u**2 + 10*u + 1. Let x(n) = 12*n**3 + 35*n**2 + 7*n + 1. Let i(b) = -5*s(b) + 8*x(b). List the prime factors of i(-8).\nAnswer: 13, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 6954 - 6954.22448. Round g to 2 decimal places.\nAnswer: -0.22","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(sqrt(2299)*-1 + 4) + (2*sqrt(2299) + sqrt(2299) + -2 - sqrt(2299)) + (sqrt(2299) + -1 - sqrt(2299)) + -4)**2*-1.\nAnswer: -2324 + 110*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) be the third derivative of 0 + 3\/2*o**3 + 0*o - 1\/24*o**4 - 10*o**2. Let h(t) = 4. Let r = 17 + -12. Determine r*h(w) - 2*q(w).\nAnswer: 2*w + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((3*q - 4*q - q)*(4 + 2 + 1)*(0*q - q - q) + (2 - 1 + 0)*(0*q**2 + q**2 + q**2))*(-2*q**2 - q**2 - 4*q**2)*(3*q - 3*q - q).\nAnswer: 210*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor -211*c**2 - 40*c + 101 + 216*c**2 - 21.\nAnswer: 5*(c - 4)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = 5*g**2 - 2*g + 2. Let s be k(1). Solve 0 = -0*r - r + s for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 24, 59, 7, 15.\nAnswer: 7, 15, 24, 59","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 2, e: 1, o: 8, f: 2, v: 2}. What is prob of picking 1 o, 1 f, and 1 e?\nAnswer: 16\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.42 + 0.02. Let r = 23.7 - 24. Let s = 4.3 - 3.3. Which is the closest to s? (a) n (b) -3 (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4350761*0.5.\nAnswer: -2175380.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*u - 1 + 1)*(-u**3 + 1 - 1) + (19 - 16 + 18)*(-6 - 2 + 4)*(-4*u**3 + 0*u**3 + 3*u**3)*(-2*u + 4*u + 0*u).\nAnswer: 170*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 360 and 76860.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 16 + -16 - (0 - 2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -44 = -3*y - 8. Let k = 59 - 71. Let h = k + y. Solve h*i - 6 = 3*i for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2045708 + 48.008.\nAnswer: -2045659.992","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(616)\/(3*sqrt(11) + sqrt(11)))\/(sqrt(8) - (sqrt(8) + (-3*sqrt(64))\/sqrt(8))).\nAnswer: sqrt(7)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.0815*5.6.\nAnswer: 0.4564","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2 or -28\/11?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 2, c: 1, d: 1, l: 6, y: 2}. What is prob of picking 2 y, 1 l, and 1 c?\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*w - 24 = -2*t, -9*t + 27 = 5*w - 8*t for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -53*t = -1277777 + 237175. What are the prime factors of t?\nAnswer: 2, 9817","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*y - 9 = 9*y for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -f - 3. Let u(z) = -2*z - 5. Let q(n) = 15*d(n) - 9*u(n). Let w(o) = 4*o + o + o. What is w(q(k))?\nAnswer: 18*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 38, 34, 30, 26?\n\"Answer: -4*r + 42","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -8*m - 3*m**2 - 11*m + 19*m. Let h(r) = -2 - 9*r + 2. Calculate h(y(v)).\nAnswer: 27*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 6 - (-10 - (-14 + -4))\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 22*j - 11*j**3 + 220717*j**2 - 220717*j**2 - 6*j**3 + 3 as o + i*j**2 + d*j + b*j**3 and give o.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (24\/(-32))\/((-1)\/(-24)). List the prime factors of ((-16)\/3)\/(l\/27).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 + 2 - (-8 + 7) - 2?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (6\/(-9))\/(2\/(-3)). What is the common denominator of ((-488)\/(-12))\/(((-80)\/6)\/(-2)) and (-426)\/120 + p\/1?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 8\/(-2) + (2 - (123 - -2)). Let t = 124 + k. Which is the biggest value? (a) -0.072 (b) 3 (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -520*a**4 - 521*a**4 + 1037*a**4 + 16*a**2 + 33*a + 36*a wrt a.\nAnswer: -48*a**2 + 32","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -115*k**3 - 4*k**2 + 559*k**3 + 242*k**3 + 4 - 5*k - 91*k**3. Let n be l(4). Round n to the nearest 10000.\nAnswer: 40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/9 in -1\/6, -4, 0.11, -0.03?\nAnswer: 0.11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s + 4*u + 26 = -23, 3*s + 2*u = 147. Let p(y) = 2*y**2 - 6*y + 6. Let c be p(6). Let t = c + -25. What is the remainder when s is divided by t?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 64.7217 - -4.0683. Round h to 1 decimal place.\nAnswer: 68.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3\/1*15\/9?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 0.123*-29869\nAnswer: -3673.887","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -50 = 5*x - 50. Is (33\/(-66))\/((-3)\/64626 + x) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-5)\/((-20)\/256) - 2. Let y = a - 34. Suppose 3*o + h + 3*h = y, -4*o + 4*h = 0. Solve d = o*d - 3 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (308\/(-2156))\/((-1)\/(-7)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence aq when two letters picked without replacement from uaaaaaauquaua?\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 2, f: 2, z: 2}. Give prob of picking 2 n.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find v such that -8*v**2 - 1340*v - 54488 = 0.\nAnswer: -98, -139\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -3, 0.100337, -2, 3\/2, -0.3?\nAnswer: 0.100337","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = c**2 - 185*c - 1741. Let m be v(-10). What is the greatest common divisor of 722 and m?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-6)\/(-2 - 1) - -3. Suppose r*v - 1 = 9. Solve 5 + 5 = -v*d for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -2*k**2 + 9*k + 3. Suppose 3*v = 3*r - 30, -4*r + 30 = -3*v - 5. Suppose 7*u - r*u - 68 = 0. Calculate the remainder when u is divided by n(4).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange x**3 + x**3 + x**3 + 29*x**4 - x**3 + 1 to y*x**2 + o*x + z + l*x**3 + u*x**4 and give z.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is three tenths of a century in months?\nAnswer: 360","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -96 (b) 0.24 (c) -2\/3 (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2 + 16. Let n(a) = 2 - 6*a**2 + c*a**2 - 2. Let l(t) = -4*t**2 - 2*t**2 + 3*t**2 + 2*t**2. What is n(l(g))?\nAnswer: 8*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.2? (a) -1.3 (b) -1\/2 (c) 5 (d) 1\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 11\/((-66)\/(-12))*17\/(1292\/(-6)).\nAnswer: -3\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 924 and 168?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.08 + 0.22. Let q = -19 + 13. Let z be (0 - -1)*4\/q. What is the closest to 1\/3 in 2\/5, z, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 577060 by -61.\nAnswer: -9460","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*q**3 + 61*q + q**4 + 4*q**3 - 16942 + 106*q + 16944 + 0*q**4 in the form z*q**2 + y + p*q + n*q**4 + u*q**3 and give n.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = 14*o**2 - o - 1. Let l(i) = -i**2 + 10*i - 23. Let a be l(6). What is the remainder when ((a - 0) + 8)*(-24)\/(-4) is divided by u(-1)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 20\/6*94\/(-2350)\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 123 and 369?\nAnswer: 369","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Are 2\/408767035 and -1 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 9598, 21743, 33888, 46033, 58178, 70323?\n\"Answer: 12145*f - 2547","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence di when two letters picked without replacement from wiwdiwcwccwwwiwiww?\nAnswer: 2\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l*l\/l**(-3\/8))\/(l\/(l*(l\/((l\/l**(-4))\/l*l))\/l*l)))**(-30)\/((l*l*l**(-1))**(-23\/6)*((l**(-3\/8)*l)\/l)\/l*l**2) assuming l is positive.\nAnswer: l**(1247\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qqqqqqqqqbqbqqqb. What is prob of sequence bqb?\nAnswer: 13\/560","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 105 and 45.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 607 minutes after 4:35 PM?\nAnswer: 2:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 17*l + 6*l + 7*l - 90 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 4021859?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f - 5*f = 0. Suppose -x + f = -1. Let g = 1 + -0.8. Put x, 3, g in increasing order.\nAnswer: g, x, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*r**3 + 5*r**3 - 12336*r**2 + r**3 + 13 + 12336*r**2.\nAnswer: 2*r**3 + 13","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/(l*l\/(l\/(l**(-10)\/l))))**(20\/7) assuming l is positive.\nAnswer: l**(220\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -34895566*b**3*o**2 - b**2*o - 4*b*o**2 + 136*b*o - 68*o**2 - 23*o wrt b?\nAnswer: -209373396*b*o**2 - 2*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 33 - 34. Which is bigger: i or 3\/13?\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(132) + (sqrt(132) - (sqrt(132) + sqrt(132) + (2*sqrt(132)*5 - sqrt(132)) - sqrt(132)) - sqrt(132) - sqrt(132)))\/(sqrt(588)*-2))**2*4.\nAnswer: 1100\/49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (25\/30)\/(-5)*(-20)\/(-10)?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -154748692 from 3.88.\nAnswer: 154748695.88","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is -27 at most as big as -15?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 63*-1.8\nAnswer: -113.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 7348, 29994, 67744, 120604, 188580, 271678, 369904?\n\"Answer: a**3 + 7546*a**2 + a - 200","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 7.710991l in millilitres?\nAnswer: 7710.991","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 710588736 and 27?\nAnswer: 2131766208","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-17 - 22 - -32) + 60\/(-5).\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -l**3 + 14*l**2 + 12. Let y be k(14). Solve 0 = -f - 2*f + y, 3*z = 5*f - 35 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p = 17 - 2, 4*j = 5*p + 5. What is the nearest to 1 in -0.05, 3, j?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 129 (base 12) to base 15\nAnswer: bc","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 74*a + 131*a - 574*a + 127*a + 124*a + 127*a.\nAnswer: 9*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from yyuhyhuhhyh. What is prob of picking 2 y and 2 u?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1311*t + 4183 = 2433*t - 1211*t for t.\nAnswer: -47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = r**3 - 4*r**2 + 17*r - 48. What is u(4)?\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 470 + -939\/2. Let m(d) = -d**2 - 7*d + 4. Let n be m(-7). Suppose -n*v + 0 + 4 = 0. Which is bigger: v or u?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -229 - -208. What is the second biggest value in -2\/9, w, -4\/7, 5?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) be the third derivative of -4*o**7\/105 + 25*o**3\/6 - 7*o**2. Differentiate b(l) wrt l.\nAnswer: -32*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 1643283, 3286568, 4929851, 6573132, 8216411, 9859688, 11502963?\n\"Answer: -o**2 + 1643288*o - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -t**3 + 45*t**2 + 200*t - 194. Determine d(49).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 635 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 5? (a) 2 (b) -0.1 (c) 2\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 128563.83 milliseconds?\nAnswer: 0.035712175","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (13 - 11 - 9)*(n - 5*n + 5*n)*(-65 + 79 + 52).\nAnswer: -462*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 25*b**2 - 208750*b*f + 2*b + 375606060*f wrt b.\nAnswer: 50*b - 208750*f + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 equal to 998?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2420, 3089, 4196, 5741, 7724, 10145?\nAnswer: 13004","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 10102837 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -l + 19. Let u be w(24). Let d(j) = -5*j - 1. Let b(g) = 11*g + 3. What is u*d(m) - 2*b(m)?\nAnswer: 3*m - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 9709891 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v - 25 = 0, 0*j - 5*v = 2*j + 19. Suppose 0*z = -j*z + 39. Suppose -i = 2*y - z, 0*i - 3*i - y + 39 = 0. What is the tens digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -22*w - 48. Let v be (22\/6)\/((-114)\/18 + 6). Is l(v) a multiple of 27?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.2 and -1943.\nAnswer: 388.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l - 96*y + 22 = -92*y, 4*y - 24 = -4*l. Let z = 733\/7 + -105. What is the closest to l in 0.2, z, -2\/17?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:38 AM and 6:03 AM?\nAnswer: 25","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 80 and 46520.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -4 + -1410255?\nAnswer: -1410303","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.3 and -1194193.7.\nAnswer: -358258.11","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/633, -0.2, 5 in ascending order.\nAnswer: -0.2, -2\/633, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = 5*u - 5. Let j be t(-7). Let y = -23 - j. What is the units digit of y?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4354*y + 8940*y - 4578*y.\nAnswer: 8*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((b\/(b*b*b*b**(-27))*b)\/(b*b**(-31)))\/(b\/b**(-17))**50)**(-4\/29) assuming b is positive.\nAnswer: b**(3376\/29)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3 + 28 - 40) + 0 + 3?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -12 + 233436166?\nAnswer: 233436154","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 42 = 4*g + 3*x, 3*g + 3*x + 2*x = 26. Suppose -9*i = -12*i + g. What is the second derivative of 0*h**3 + 685*h - 677*h + 12*h**i + 0*h**3 wrt h?\nAnswer: 144*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 32, 36, 42, 50, 60?\nAnswer: 72","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*w**2 + w**2 - 2*w**2 + (3 - 2*w - 3)*(-2*w + 2*w - 3*w))*(-3*w - 3*w + 2*w)*(723*w**2 - 380*w**2 - 372*w**2).\nAnswer: 812*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -p**3 - 6*p**2 + p + 8. Let f be g(-6). Let u be (-38)\/(-4) - 3\/6. Find the third derivative of -k**f + 4*k**2 + u*k**3 - 14*k**2 wrt k.\nAnswer: 54","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*v + 3*v + 2*v)*(3 - 3 - v**2) + (42 - 42 + 389*v**2)*(-v - 1 + 1).\nAnswer: -388*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 457 minutes after 11:22 AM?\nAnswer: 6:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30*t = 4*d + 25*t - 18, t - 23 = -3*d. Solve 0 = w - d*w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4 + 5 + 0 - 5) + -4?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 378 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**6*b**(3\/2))\/(b**(-1)*b)**(9\/5)*((b*b**(1\/3))**14)**(1\/19) assuming b is positive.\nAnswer: b**(967\/114)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put 4\/7, 0.1, 0.2 in decreasing order.\nAnswer: 4\/7, 0.2, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*n + 513 = 492 for n.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 190 take away 16503?\nAnswer: -16313","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = h**3 - h**2 - 3. Let y be x(3). Suppose 5*m = -y, 0 = -a + 2*a - 2*m - 33. What is the units digit of a?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 24*p**2 - 8*p**2 + 15*p**2 + 17852*p**3 - 3*p + 18*p.\nAnswer: 17852*p**3 + 31*p**2 + 15*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 310*h - 4869 = 63*h + 2788 for h.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2277291 and 45167.\nAnswer: 1457","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -872962, -873129, -873296, -873463?\n\"Answer: -167*w - 872795","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -23 - -103115606?\nAnswer: 103115553","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1844\/12429 - -102\/1381. Let z = -6.1 - -2.9. Put o, -3, z in descending order.\nAnswer: o, -3, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -154932*s + 427939*s + 177349*s.\nAnswer: 450356*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -5*x**2 - 2*x - 3. Let i(d) = 6*d**2 + 3*d + 2. Determine 3*i(w) + 4*n(w).\nAnswer: -2*w**2 + w - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 19 + (-6 + 10 - 12) - 11.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: ((((-1)\/4)\/1)\/(13\/130))\/(55\/(-1276))\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-2 + -1)\/(9\/(-24) - 0). Suppose -2*k - z = 0, 4*h - 5*k = h + 647. Is h prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*o - 147 = 13*o for o.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**(4\/3)\/((z*z**3*z)\/z))\/((z*z**(1\/3))\/(z**(3\/10)*z)))**33 assuming z is positive.\nAnswer: z**(-891\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = 5*u**2 - 67*u + 67*u. Let m(v) = -11*v**2. Determine c(m(r)).\nAnswer: 605*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 469 + -783. Let p = -319 - d. Put -2\/15, p, -1\/4, 0 in increasing order.\nAnswer: p, -1\/4, -2\/15, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 901.\nAnswer: 17, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:21 AM and 4:39 PM?\nAnswer: 558","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 - 5 + 2 - i)*(i**3 - 7*i**3 - 7*i**3) in the form o*i**2 + u*i**3 + w*i + n*i**4 + y and give n.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1034.102 + 1.102. Let f = k + 98. Let h = f - -934.9998931. What is h rounded to 5 decimal places?\nAnswer: -0.00011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2058, 3622, 6258, 9990, 14842, 20838?\nAnswer: 28002","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is c - -2d57?\nAnswer: 2d64","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 248\/(-6) + 17\/51. Let x = b + 49. What are the prime factors of 6\/x - (-10256)\/64?\nAnswer: 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 115 a factor of 6183475?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-135)\/(-105)*(-2)\/6.\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4384*t + 28889 - 28889)*(3*t + t - 5*t)*(t - t - 1 + 2*t).\nAnswer: 8768*t**3 - 4384*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in three tenths of a century?\nAnswer: 360","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r**4\/2 + 552*r**3 - 50778*r**2 - 2208*r + 203136 = 0. Calculate r.\nAnswer: -2, 2, 184","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -2*l**2 + 29*l. Let s(h) = -3395 + 3395 - 2*h. Calculate q(s(d)).\nAnswer: -8*d**2 - 58*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 119 - 244. Let x(n) = 2*n**2 + 146*n + 1652. Let l be x(-59). Sort l, -4, 5, u in descending order.\nAnswer: 5, l, -4, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.4799912 + -0.48. What is c rounded to six decimal places?\nAnswer: -0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 276?\nAnswer: 2, 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 54693.\nAnswer: 3, 59, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(sqrt(180)*3 + sqrt(180) + 3*sqrt(5)*2)*1 + 4 + -5)**2 + 5.\nAnswer: 240*sqrt(5) + 72006","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3\/(-3*(-4)\/(-48)*-6).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) be the third derivative of 0*g - 17\/336*g**8 + 0*g**3 + 0*g**6 + 0*g**5 + 0*g**7 - 1 - 14*g**2 - 67\/24*g**4. Find the second derivative of h(b) wrt b.\nAnswer: -340*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 divided by -84.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 (base 5) in base 15?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 9213 to the nearest integer?\nAnswer: 96","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = 1778*k**2. Let u(r) = -r - 2237. Calculate u(l(a)).\nAnswer: -1778*a**2 - 2237","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -75, -287, -637, -1125, -1751?\nAnswer: -2515","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 35 and 47.685665753064?\nAnswer: 12.685665753064","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y - 5*u - 703 = 333, 4*y + 3*u = 2124. What is the greatest common factor of y and 99?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((41650\/(-105))\/85)\/(-98)?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (2 - 5)*(-262)\/6?\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 + 6 - (1 + -2 - 0)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 4 - 5)*(-4*h**4 + 3*h**4 + 905*h - 897*h).\nAnswer: 3*h**4 - 24*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-5)\/(-113 - -3))\/1. Which is smaller: 0 or t?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -13370, -13354, -13338, -13322, -13306?\nAnswer: -13290","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-nine thirds of a hour in minutes?\nAnswer: 580","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 0.3 (b) 0.239 (c) 0.2 (d) -8 (e) -8\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -7524, -7096, -6542, -5862?\n\"Answer: 63*r**2 + 239*r - 7826","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Product of 108.65635 and 1.3.\nAnswer: 141.253255","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 171101 + 5?\nAnswer: 171106","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 4849 >= 4850?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3271, -6599, -9965, -13387, -16883, -20471?\nAnswer: -24169","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -626*g**2 + 628*g**2 - 3 - 6 + 245*g**3 + 5 to the form d + k*g + l*g**2 + z*g**3 and give l.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 383277864 + 2?\nAnswer: 383277866","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f - 3*z = -6*f + 11, -z - 3 = -2*f. Let p = 8.7 - 8. Let y = p - -0.3. Which is smaller: f or y?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) be the second derivative of 1\/4*h**5 + 1\/2*h**2 + 0 + 32*h + 1\/6*h**4 - 1\/6*h**3. Let s be g(1). Solve s - 4 = 3*q for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) be the first derivative of -9 - y**2 + 28\/3*y**3 - 2*y. Is o(-4) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 51 + -37?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000002494 to seven dps.\nAnswer: 0.0000025","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (x**3 + 0*x**3 + 0*x**3)*(20 - 140 + 69*x - 36*x - 34*x) to f + w*x**4 + k*x**3 + j*x + h*x**2 and give w.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t - 4 + 12 = 0. Solve t*r - 5*d = -10*d - 27, 0 = -r + 5*d + 12 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by -72\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/7 in -9, -1, -0.14?\nAnswer: -0.14","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = 28*r + 245. Determine g(-8).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 35336 to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 651551 to the power of 1\/3, to the nearest integer?\nAnswer: 87","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = 15*u - 1. Suppose -4*r + 6 = -6. Suppose 0 = b - 4 + r. What is the remainder when 26 is divided by d(b)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (49 - (4 + 7)) + (-1 - 5 - -5)\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -2*y + 19. Let j be v(9). Let h = j + 21. Solve x - h = -5*m, -x + 1 = 2*m + 2*x for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) be the second derivative of p + 3*p**2 + 0 + 1\/4*p**4 + 7\/6*p**3. Is 13 a factor of y(-4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1478*t = 1483*t - 25. Factor 7*c**2 - 2 + 4 - 3*c**2 - t*c - c**3.\nAnswer: -(c - 2)*(c - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 9053690?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -7*l - 6*l - l**4 + 4*l**4 + 10*l + 2 to s*l**4 + j + t*l + u*l**3 + m*l**2 and give j.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2 in 5, 12, -2, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -394*p - 4370. Let i(h) = -315*h - 4369. Calculate -5*i(q) + 4*s(q).\nAnswer: -q + 4365","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 906.77 from 171045245.\nAnswer: 171044338.23","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 22301 and 5942063.\nAnswer: 769","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 61989, 61978, 61955, 61914, 61849, 61754?\nAnswer: 61623","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -c + 3. Give b(3).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2 + 0. Let c = -2 - -9\/5. Suppose -2*m = m. Put m, c, n in ascending order.\nAnswer: c, m, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6171)\/(-51)*2\/22.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 61\/144 and -115\/24.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:39 AM and 4:42 AM?\nAnswer: 123","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2080 and 39.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Work out 31 * -3.77.\nAnswer: -116.87","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h + 400342 - 119261 = 5*s, -4*s - 351423 = -5*h. What are the prime factors of h?\nAnswer: 11, 6389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 3\/(-1)*(-40)\/6. Suppose 3 + 17 = 4*y. Suppose -p - y = -4*u, p + w = -3*u - 3*p. Let t(k) = k + 6. What is t(u)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:31 AM and 3:18 PM?\nAnswer: 587","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 2940523111 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2444 by 45.\nAnswer: -2444\/45","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = i + 5*i + 3*i - 21 - 5*i. List the prime factors of l(10).\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -106.00000732 + 106. What is m rounded to seven decimal places?\nAnswer: -0.0000073","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -11*d + 12. Is a(-5) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -r**3 - 14*r**2 + 15*r - 2. Let x be w(-15). Let y be ((-9)\/x - -3)*2. Solve -5*c = 2*v - v + y, -c = 3 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 61\/6384664 and -43\/4654?\nAnswer: 1142854856","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*o**2 - 47694120*o - 189560756881200.\nAnswer: -3*(o + 7949020)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 96110 divided by 4\nAnswer: 48055\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -24*t**2 - 2*t**2 + 5*t**2 + 6*t**2 + 8*t**2 + 7*t**2 + 3*t**2.\nAnswer: 3*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 21679506.\nAnswer: 2, 3, 373, 3229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1452669 - 623169. Round w to the nearest one hundred thousand.\nAnswer: 800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -6, -19, -8, -1, 7, 28, 3 in increasing order.\nAnswer: -19, -8, -6, -1, 3, 7, 28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 2*h**2 - 4)*(3*h + h - 2*h) + 4*h**3 - 2*h**3 + 0*h**3 - 19 + 47*h**3 + 22 - 2.\nAnswer: 45*h**3 + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fv when two letters picked without replacement from {v: 2, f: 2}.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -603060 to the nearest 10000.\nAnswer: -600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 556?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1 - -1.5. Let h(t) = 7*t - 115. Let v be h(42). Let k = -353\/2 + v. Put k, f, -0.1 in increasing order.\nAnswer: -0.1, f, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*x**3 + 2*x**3 + 0*x**3 + (2 + 2 - 3)*(-53*x + 30*x + 21*x)*(-2*x**2 + 1 - 1) + x**3 - 6*x**3 - 4*x**3 to o*x + a*x**3 + d + k*x**2 and give a.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -560474, -1120947, -1681420, -2241893?\n\"Answer: -560473*j - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3? (a) 0.3 (b) -1 (c) 2\/9 (d) 0.03\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 536 and 104?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = b**2 + 4*b + 5. Let i be v(5). Suppose -5*x = -7*x + i. What is the remainder when x is divided by (3\/(-2) - 0)*-6?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5568848528 to the power of 1\/3, to the nearest integer?\nAnswer: 1773","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 43858580 divided by -1.\nAnswer: -43858580","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 12196, 24428, 36674, 48940, 61232, 73556?\n\"Answer: m**3 + m**2 + 12222*m - 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2058499?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r - 4*b = -8*b - 559, 4*r - 3*b = 448. What is the hundreds digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4\/40)\/(((-3900)\/80)\/65).\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 372, 365, 356, 345, 332?\n\"Answer: -b**2 - 4*b + 377","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7398 is divided by 1477.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((s**(2\/7)\/s)\/s)**14\/(s**(-2\/3)\/s**(-7)))**(-3\/4) assuming s is positive.\nAnswer: s**(91\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) be the first derivative of o**4\/6 - 4*o**3\/3 + 4*o**2 - 8*o + 5. Let j(g) be the first derivative of d(g). Factor j(v).\nAnswer: 2*(v - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1058 >= -1057?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s**4 - 1564*s**3 - 7736*s**2 - 6176*s = 0. What is s?\nAnswer: -386, -4, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -16 - -7. Let v = -1 - i. Let c be 2\/v + 165\/60. Let f(y) = y + 3. What is f(c)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -128\/554297 and 1 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*p - 23521 = 1637. Let x be p\/(-12) + 1\/2. Suppose g = 6*g - x. Does 10 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 13, 19, 23, 19, 1, -37?\nAnswer: -101","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -44*g + 7 = 4*g - 33 - 56 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 327948.04 rounded to the nearest 10000?\nAnswer: 330000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = 4*k + 3. Calculate c(2).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (173*u + 1586*u - 281*u)*(3 - u - 3).\nAnswer: -1478*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 400 divided by 40?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10279.63*-0.0719.\nAnswer: -739.105397","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 6*-1 - (4 - 15)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -353782, -353802, -353906, -354136, -354534, -355142, -356002?\nAnswer: -357156","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s + 36 = -0*s - 4*d, -d = -3*s - 56. List the prime factors of (-2256)\/s*(-40)\/(-16).\nAnswer: 2, 3, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 47822374 divided by 5.\nAnswer: 47822374\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -r**3 - 17*r**2 + 1718*r + 3486. Calculate b(-2).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -o**2 - 24*o - 264. Give m(-12).\nAnswer: -120","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.05 in 0.3, -2063.1, 1, 4?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1\/(-4) - (-5)\/((-180)\/567). What is the common denominator of (q + 18)\/((-106)\/57 + 2) and 89\/8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v + 5*j + 597660 = 0, 2*j = 3*v - 7*v + 1195320. Is (-4)\/14 - v\/(-98) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 36\/(-8)*3960\/(-4158)*112\/(-24)?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = 2*n**2 + 113*n + 1705. Let j be g(-27). What is the greatest common divisor of j and 10?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 42795 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i + 6*i + 4*f = -313, f + 257 = -4*i. Let c = i - -123. Suppose 60*b - c*b - 350 = 0. List the prime factors of b.\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5768\/17*b - 8\/17 - 1039682\/17*b**2.\nAnswer: -2*(721*b - 2)**2\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-2)\/2 + 3 + 3. Suppose -2*u - 26 = 4*o, 3*u + x = -2*u + 2*o. Let m(p) = -6*p + 6. What is the units digit of m(u)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 29.73 - 30.13. Sort 0.3, 2\/419, r, 5 in decreasing order.\nAnswer: 5, 0.3, 2\/419, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rrrerzrzrrrrrrrkzrzz. Give prob of sequence zk.\nAnswer: 1\/76","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*z + 8*r - 3*r = -2*r + 4*r + 84, -5*z = 2*r - 28 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j*j*j*j**(-2\/15))\/j**(1\/31))**(8\/9) assuming j is positive.\nAnswer: j**(10544\/4185)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (196\/(-2184))\/((-53)\/(-636))?\nAnswer: -14\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -33 + 26 + 3 + 0. Let p be (x\/3)\/(7\/21). Sort p, 0, 0.2 in decreasing order.\nAnswer: 0.2, 0, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40 = -g + 3*v, v - 21 - 74 = -4*g. What is the units digit of g?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 3, -2, -114 in descending order.\nAnswer: 4, 3, -2, -114","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -92497.7 and -697375?\nAnswer: 604877.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 0 + (62 + 1 - 1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 105798 and 3.19.\nAnswer: 105801.19","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(20)\/sqrt(2)*-3*5)\/(sqrt(128)\/(sqrt(4)*-1)))**2.\nAnswer: 1125\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -18 + 38. Let d(h) be the second derivative of h**4\/12 - 5*h**3\/6 + 8*h**2 + 34*h. Let r be d(8). What is the greatest common factor of m and r?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 781 + -694. What are the prime factors of w?\nAnswer: 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -6 - -7. Let c(v) = 13*v + 1. Let i be c(r). Suppose -i = -2*u - 4. What is the biggest value in -0.4, -5, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*l + 0*l - 2*l + (-2*l + 0*l + 0*l)*(-3 - 4 + 5) - 4*l + 2*l - l + 0*l + 0*l + 2*l)*(5*l - 6*l - 5*l) + 2*l**2 - 2*l**2 - 2*l**2.\nAnswer: -8*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -c**3 + 2*c**2 + 2*c - 2. Let p be f(1). Let b be p*((1 - 1) + 3). Let q(l) = l. Let y(t) = 1. Give b*q(i) - 2*y(i).\nAnswer: 3*i - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 88 minutes before 1:03 AM?\nAnswer: 11:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*a + 3*g = -10*a - 3, g = -3*a + 5. Suppose 12*v - 8*v - b - 1227 = 0, -5*v - a*b + 1521 = 0. List the prime factors of v.\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 61970 = 5*i - 5*p, -i - 5*p - 49580 = -5*i. Suppose -5*m - 2*k + i = 3*k, -5*m = k - 12410. Is m a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 53.565 millilitres?\nAnswer: 0.053565","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (-161)\/14 + -68 + 82?\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1551 to the nearest integer?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -f**2 + f + 2. Let p be r(2). What is t in -2*t**4 + p*t**4 + 0*t**4 + 4*t**3 - 2*t**3 = 0?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 1\/7, 0.5, -0.5, -124, 0.8?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 9 and 99.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -5 + -514200123?\nAnswer: -514200132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -3*f + 23. Let i be c(7). Let g(t) = -324*t - 2. Let y be g(i). Round y to the nearest 100.\nAnswer: -700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 483 divided by -7?\nAnswer: -69","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -74*z = -82*z + 253377 - 80393. What is the tens digit of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1 + 4. Suppose -15 + 51 = i*n. What is the units digit of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (288*l - 3774 + 3774)*(1 - 2*l**2 - 1) to m*l**3 + v*l**2 + y + a*l and give m.\nAnswer: -576","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*d - 12*d + w = 9, 4*w + 21 = -3*d. List the prime factors of (-12 - 3)\/(d*(-1)\/(-39)).\nAnswer: 3, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 430.21 - 430.3. Is g greater than -106?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.96 + 4.26. Let f = k - 4.9. Which is the nearest to -0.2? (a) -4 (b) -1 (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -989 - -1736. Is 14 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cl when two letters picked without replacement from {i: 1, c: 4, l: 2}?\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -p**2 + 8724*p**3 - 8725*p**3 + 9*p**2 - 1. What is f(8)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -i**2 + 2*i + 17. Let d(t) = -1. Let y(v) = -10*d(v) - 2*h(v). Calculate the least common multiple of y(6) and 24.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -a26 (base 11) in base 12?\nAnswer: -872","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (744\/60 - 14)*(175\/(-2))\/5. Let t(x) = 12 - 2*x + 14 + 0*x. Let l be t(m). Which is greater: -32 or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 57027380 to the nearest integer?\nAnswer: 7552","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 116178834.\nAnswer: 2, 3, 19363139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 168946*r**2 - 3915 wrt r.\nAnswer: 337892*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = 2*b + 28. Let f(u) = u - 4. Let o be f(4). Suppose -4*t = -2*m - 64, 4*t - 3*m - 15 - 49 = o. Does 15 divide a(t)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.3 and 6.\nAnswer: -1.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -684307 = -3*b - s, -19 = 2*s - 27. Is b prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6 + -12 - -1) + 0 + 4.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -3*n + 6. Let g(o) = -3*o + 6. Let k(i) = -2*g(i) + 3*t(i). Calculate k(4).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8, -61, 308610 in decreasing order.\nAnswer: 308610, 8, -61","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -11*a**2 + 15*a + 36. Let g be x(-3). Let h be (1 - -110) + g\/36. Calculate the highest common divisor of h and 24.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -3*u + 8. Let q(r) = -5*r**2 - 19*r - 41. Let j be q(-2). Let n be (-3 - -3)\/(46\/j). What is y(n)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 364.9, -2, -3, 2 in decreasing order.\nAnswer: 364.9, 2, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s = 2*s - 28. Suppose -3*v - s = -2*f, 0 = 5*v - f - 4*f + 20. Is 9\/(-9) + (v - -23) a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 31\/161 and -27\/7958?\nAnswer: 55706","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:43 PM and 4:56 AM?\nAnswer: 493","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -x**2 + 14*x + 1. Calculate q(2).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 119868?\nAnswer: 2, 3, 7, 1427","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (12*1*-40)\/((-56)\/(-196)). Let u(q) = -1459*q - 4. Let n be u(-2). Let y = n + z. Is y a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 122120210220 (base 3) in base 2?\nAnswer: 1010100100000011001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -662*i - 52052 = -675*i. Calculate the lowest common multiple of i and 728.\nAnswer: 8008","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in three eighths of a minute?\nAnswer: 22500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v + 2*v = w + 793, 3931 = -5*w - 2*v. Let y(j) = -2*j**2 - 56*j + 56. Let b be y(-29). Let c be 2\/(-2) + (w - b). What is c rounded to the nearest 100?\nAnswer: -800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -64*v + 15 = -69*v for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -1102112220 (base 3) to base 2\nAnswer: -110110111001000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + -6*(-6*-2*-2*sqrt(17))**2 + 5.\nAnswer: -58750","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*c**3 + 2*c**3 - c**3 - 15 + 6 to the form d*c**3 + s*c + u + l*c**2 and give s.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4*y + 7*y - y)*(-2*y**2 + 4*y**2 - 4*y**2) - 11968*y**3 + 6779*y**3 + 5942*y**3 in the form r*y**2 + t*y**3 + b + p*y and give r.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express -43367*j + 43367*j - 42 - 2*j**2 in the form y*j**2 + s + q*j and give y.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 4 + 65\/(-45)*3. Let z be (16\/(-60))\/(1\/(-185)). Let q = z + -51. What is the closest to g in q, 5, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j\/j**1)**(-10\/9)\/(j\/(j**(-4)*j)*j**(1\/6)*j))**(-8) assuming j is positive.\nAnswer: j**(124\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) be the first derivative of -5*h**4\/24 + 7*h**2\/2 - h + 4. Let f(m) be the second derivative of x(m). Let v(a) = 3*a. Give v(f(p)).\nAnswer: -15*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -1\/4 (b) 0.0044 (c) -9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5960*c + 12640*c + 13814*c + 19624*c.\nAnswer: 52038*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 1, o: 1, h: 3, l: 1, k: 6}. Give prob of sequence jk.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -321359, -321124, -320895, -320672, -320455, -320244?\nAnswer: -320039","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*q + 2*q**4 + q**2 - 6*q**4 - q to n*q**3 + i + j*q**4 + k*q**2 + h*q and give j.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1307368 and 680?\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express -2 - 2*y + 2*y - 2*y**3 - y + 4*y**2 - 3*y**4 - 5*y**2 as n*y**2 + f*y**4 + b + k*y + h*y**3 and give f.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 16537670783 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = y**3 + 3*y**2 + 1278*y - 8825. Calculate l(7).\nAnswer: 611","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -387*b + 115*b + 271*b.\nAnswer: -b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d - 2 = -p, -6 = -7*p + 4*p - 2*d. Suppose n - 1057 = -f + p*f, -4*f = -2*n + 2118. Is n prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1601 - -1624. Let l(i) = 46*i**2 + 3*i + 3. Calculate the remainder when l(-2) is divided by y.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (5 - 2)\/((-4)\/(-24)). Solve 1 = -3*f - c - 0*c, -2*c + p = -4*f for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 680 minutes after 1:18 AM?\nAnswer: 12:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 208466 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -118, -3, 3\/4, -0.04?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -p. Let u be y(-4). What is the derivative of t**4 - 3*t**4 - t**4 + 3 - u wrt t?\nAnswer: -12*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1524028 is divided by 153.\nAnswer: 148","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 478479*y**4 + 3*y**3 + 32*y**2 + 17848*y - 2787 wrt y?\nAnswer: 5741748*y**2 + 18*y + 64","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 773*r**3 - 502*r**2 - 1 wrt r.\nAnswer: 4638","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 289366 and 92015.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 12\/380172691 less than or equal to 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = j**2 + 662*j + 72311. Calculate f(-138).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -17911, -35816, -53719, -71620?\n\"Answer: h**2 - 17908*h - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 679 minutes after 9:59 AM?\nAnswer: 9:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 577, -3, -4, -6, 3 in decreasing order.\nAnswer: 577, 3, -3, -4, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1214\/(-22) + -1 + 4\/22. Let s be h\/102 + ((-180)\/27)\/(-10). Determine y so that -8\/17*y + 2\/17*y**3 + s*y**2 - 8\/17 = 0.\nAnswer: -2, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 145 = 16*m - 11*m. What is the tens digit of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2832.322 rounded to the nearest integer?\nAnswer: -2832","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r = -5*i + 164, -4*r - 6*i + 356 = -3*i. Suppose 5*z - q = -0*z + r, 5*z + 5*q = 80. Suppose s - z = 9. What are the prime factors of s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -96 - 228 = 2*k. Let r be k\/36*(-2)\/3. Suppose r*x - 37599991 = 4*f, 3*f - 3*x + 28199991 = -0*x. What is f rounded to the nearest one million?\nAnswer: -9000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-1248)\/(-30) - 6\/(-15). Let u = g - -96. Suppose 82 + u = 4*t. What is the tens digit of t?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -2803645 to the nearest ten thousand.\nAnswer: -2800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*b - 2*f - 14 - 11, 3*b = -5*f + 15 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -g**2 + 6*g - 3. Let k = 12 + -7. Let c be f(k). Suppose n = 3 - c. Let o(v) = 6*v - 1. Determine o(n).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 0, -15 in increasing order.\nAnswer: -15, 0, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1913 is divided by 213.\nAnswer: 209","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -3 (b) -1\/6 (c) -1\/3 (d) 4\/3 (e) 0.5 (f) 0.037\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -83527700 rounded to the nearest 100000?\nAnswer: -83500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-16)\/24*9*8\/(-6). Solve -9*n**4 + 5*n**3 - 3*n**2 - 9*n + d*n**4 + 0*n**4 = 0 for n.\nAnswer: -1, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (16 + 7 - 11)*(-1 - 1 - 2)*(-5 + 4 + 3)*(-108*u**2 + 8*u**4 + 108*u**2) to the form q*u**2 + i*u**3 + d + b*u**4 + j*u and give j.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2835540?\nAnswer: 2, 3, 5, 59, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 127 (base 9) to base 11\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 97 minutes after 11:49 PM?\nAnswer: 1:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(104) - (sqrt(104) + (-1*sqrt(104) - sqrt(104)) + sqrt(104)))*-2*-5*4)\/(2*sqrt(72)*2 - -5*sqrt(72)*-2).\nAnswer: -20*sqrt(13)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -561*t**4\/7 + 113328*t**3\/7 - 2963292*t**2\/7 - 306947520*t\/7 + 3283200\/7 = 0. Calculate t.\nAnswer: -38, 2\/187, 120","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -20*s**4 + 10*s**3 + s - 178?\nAnswer: -240*s**2 + 60*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 136 - 56. Let l = 116 - i. Suppose 27 = 3*c + 3*a, -4*c + 4*a + a = -l. List the prime factors of c.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 12, 63445, -3 in ascending order.\nAnswer: -3, 12, 63445","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor 28*z**2 - 2900*z + 1648.\nAnswer: 4*(z - 103)*(7*z - 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + 3 + (3 + -1 + sqrt(1377) - sqrt(1377)) + 4 + -1)*4.\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -6 - -8. Let g(m) = -2 + 2*m**d - 3*m**2 + m + 5. What is the units digit of g(0)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1002 (base 4) to base 10\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f - 5*w = 0, f - 5 = 4*w - 11. Find the third derivative of -4*u**2 - 2*u**3 + 6*u**2 - 4*u**f wrt u.\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 178 + -4 - (126 - (203 + -106)).\nAnswer: 145","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in one quarter of a kilometer?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 6139985567 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 583 and 473?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = 3*p + 274. Let j be y(-90). Let t be 0 + 1 - 1\/(-1). Let o be t\/10 + (3 - j)\/5. Solve -r = -o*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((198*y + 74*y + 2*y)*(-4 + 4 + 2) + 3*y + 2*y - 6*y)*(-10*y - 4*y - 4*y).\nAnswer: -9846*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 4497 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*r**2 + 6*r**2 - 2*r**2 + (r + 0*r + 0*r)*(r + 5*r - 4*r))*(-1 + 1 + 1)*(2567*r + 2448*r - 3799*r) as d*r**3 + o + q*r**2 + l*r and give o.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -138, -145, -142, -123, -82?\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 42241763 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = j**3 - 14*j**2 - 601*j - 12. Determine n(31).\nAnswer: -2306","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 25951 by 3443.\nAnswer: 25951\/3443","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 228275*0.1\nAnswer: 22827.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*x = -3*y, 2*x - 23*y + 28*y = 0 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -a**3 + 6*a**2 - 6*a + 6. Suppose 0 = 2*n - 6 - 0. Suppose n*f - 4*f = 0. Suppose f = 5*b - b - 20. Calculate w(b).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**(-1\/4)*b*b)**26)**(-8)*b\/(b\/b**(-1\/10))*b**4*(b*b**(-1))**(-12) assuming b is positive.\nAnswer: b**(-3601\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 455 - 232 = 607*g - 2812 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 6*r + 2169*q - 2171*q - 12, q = -r - 2 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 50007?\nAnswer: 3, 79, 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -23*n - 6*n + 24*n + 2. Let g(p) = 0*p - 1 - p + 3*p. What is 11*g(v) + 4*z(v)?\nAnswer: 2*v - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = c**2 + 12*c - 36. Calculate the remainder when 1475 is divided by h(-15).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 f when two letters picked without replacement from {f: 5, i: 5}.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.55 + 0.15. Let h = -14 - b. Let k = -13 - h. Is k != 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -78, -78, -72, -54, -18, 42?\nAnswer: 132","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 161806.066 to the nearest 100000.\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 20\/16*(-36)\/(-9).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 42 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + -3 + 0 + (16 - 17).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((-2 + 5 - 2)*(4 + 1 - 6) - 25 + 4 - 64)*(15*t + t**4 - 15*t) to the form s*t**3 + w*t**2 + x + u*t + a*t**4 and give a.\nAnswer: -86","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10491561.\nAnswer: 3, 1165729","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1441.05 + -1441. Which is the smallest value? (a) -1.1 (b) 4 (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -5*j**4 + 7*j - 121 wrt j.\nAnswer: -20*j**3 + 7","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 138385?\nAnswer: 5, 13, 2129","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 81778 is divided by 2728?\nAnswer: 2666","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from llllllllrllrlllllll. Give prob of picking 2 l.\nAnswer: 136\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 70720496 and 92064?\nAnswer: 424322976","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 21 + -95. Let z = p + 73.8. Which is the closest to z? (a) -0.1 (b) 4 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/(-3)*-4*(-3960)\/(-1760).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6 - (3 - (-6 - 1)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 + 8 + -10 - 0 - (-7 + 4)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) be the first derivative of w**2 - 38*w - 60. Differentiate m(y) wrt y.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3279 divided by -4?\nAnswer: 3279\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1 and 118.\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/7 in -39, 0.2, 1, -7?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*h + 32 = 22 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 84 and 580.\nAnswer: 12180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 31\/2 of a litre in millilitres?\nAnswer: 15500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 43161990?\nAnswer: 2, 3, 5, 727, 1979","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 35494 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide 7888 by -232.\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 416500684.\nAnswer: 2, 104125171","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3*i + 7*i**2 + 6*i + 0*i wrt i?\nAnswer: 14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -100636, -201311, -301986, -402661?\n\"Answer: -100675*v + 39","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 30113 (base 5) to base 2\nAnswer: 11101110100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5\/(-15)*(60\/(-44))\/5*-2?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x + 8*x = -30. Let g be 2\/(-3)*(0 + x). Which is the closest to -1? (a) -5 (b) g (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-5)\/(15\/6)*(-117)\/18 is divided by 5.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 181 minutes after 10:16 PM?\nAnswer: 1:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 345662 to the nearest integer?\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-4)\/(-22) + 18*(-7029)\/(-242).\nAnswer: 523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:47 PM and 2:53 AM?\nAnswer: 246","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 154 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -27 take away 2.5?\nAnswer: -29.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d**2\/7 - 5301*d\/7 - 1325\/7 = 0. What is d?\nAnswer: -1325, -1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x - 4*s - 6 = 4*x, 3*s = 0. List the prime factors of x.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0002731836 to four decimal places.\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -387426424*v**2*z**2 + 5*v*z**2 + 15*v*z - 5*v - z**2 - 14307*z + 1 wrt v?\nAnswer: -774852848*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: ((-6)\/(-8))\/(18\/164) - (5 + 1)\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (6 + (7 - 11))*(-373)\/2. Let k = -309 - w. Solve 59*i - k*i = 0 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -74*g + 42040 + 132507 = 6419. What is the highest common factor of g and 710?\nAnswer: 142","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -9 times 0.105217\nAnswer: -0.946953","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -5987.73 rounded to the nearest ten?\nAnswer: -5990","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.0961 + -2.3039. Which is the second smallest value? (a) 7 (b) q (c) -1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*p + 30 = 13*p for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 95 = 6*y + 29. Let f be y + -8 - (1 - 3). Let h(i) = i**3 - 4*i**2 - 5. What are the prime factors of h(f)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 0, -2\/13, -1654, -2, 1\/7.\nAnswer: -1654, -2, -2\/13, 0, 1\/7, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*h + 20 = 2*i, -171 = -3*h + 4*i - 191 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = 2*z + 25 - 52 + 19. Let g be j(7). Solve q - g*q = 5 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*f - 16*f = 30 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*u - 2211*w + 14 = -2210*w, -3*w + 42 = -u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = v**3 - v**2 - 5*v + 1. Let g be t(3). Suppose g*a - 43 = z, 2 = -2*a - 5*z + 7. Let d(k) = -16*k + a*k + 5*k + 2*k. Let x(f) = -8*f. What is x(d(l))?\nAnswer: -8*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) be the third derivative of -r**6\/360 + r**5\/180 + r**4\/72 - r**3\/18 + 5*r**2. Find k such that n(k) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -161\/2970 and -64\/399465.\nAnswer: 798930","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-74)\/(-35) - 132\/55.\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 65245981 to the nearest integer?\nAnswer: 8077","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = 9*m**2 - 3*m - 13. Let d(v) = -990*v. Determine d(b(k)).\nAnswer: -8910*k**2 + 2970*k + 12870","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11728.\nAnswer: 2, 733","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -23*z**2 + 174*z + 35. Let w(c) = -68*c**2 + 99*c + 310*c + 105 + 115*c. Let l(g) = 7*v(g) - 2*w(g). Factor l(q).\nAnswer: -5*(q - 7)*(5*q + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p**4 - 9011624*p**3 + 27034884*p**2 - 27034888*p + 9011630 = 0. What is p?\nAnswer: -4505815, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -7 + 9. Let f = -7 + y. Let d(i) = -i**3 - 4*i**2 + 5*i + 1. Determine d(f).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is c170a3 (base 14) in base 7?\nAnswer: 106230263","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -3872798 divided by -3\nAnswer: 3872798\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000007507 rounded to seven decimal places?\nAnswer: -0.0000075","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 2975?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 31156856?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -3361, 19 in descending order.\nAnswer: 19, 4, -3361","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -5, -21, -2\/3?\nAnswer: -21","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.44 and 7.6784.\nAnswer: 7.2384","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -5 + 11*f**2 + 4 + 0*f**3 - 4*f**2 - 3*f + f**3. Suppose 14 = -h - h. Let j be c(h). Calculate the greatest common factor of j and 100.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 83.161782 milliseconds in hours?\nAnswer: 0.000023100495","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3665 + -3595. Solve 7*a + 77 = m for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*x + 2*x**2 + 6*x + 10*x + 4 - 13*x + 15*x**4 - 3 in the form u + a*x**3 + r*x + s*x**2 + w*x**4 and give s.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7 + (8 - 14) + (-6 - (-1 + 1)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -16.25763*-2.\nAnswer: 32.51526","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-26*b - 726 + 726)*(4 + 2 - 4)*(0*b**3 - b**3 + 0*b**3) - 12*b**4 + 19*b**4 + 4*b**4 to h*b**2 + r*b + j*b**3 + s*b**4 + c and give s.\nAnswer: 63","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -325\/227?\nAnswer: -325\/227","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 15 - 13. What is the greatest common divisor of i and 8?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = 10 - 3*w - w + 3*w. Give t(6).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 48959 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -18, 1, 22, 39, 46, 37, 6, -53?\nAnswer: -146","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ccsaffcffsfscsfcsf. What is prob of picking 1 c and 3 s?\nAnswer: 5\/306","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 52305079181 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*w = -2*w + 5*h - 14414, -4*w = 4*h - 14416. What are the prime factors of w?\nAnswer: 2, 3, 601","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6090 is divided by 2027?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*r**4 + 0*r**4 - r**4)*(44 + 27 - 18 + 24).\nAnswer: 154*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 230 divide 62046640?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 3640959 or 3640958?\nAnswer: 3640959","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is nineteen quarters of a millennium in months?\nAnswer: 57000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -98*g + 2546. What is the thousands digit of l(0)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 115765 is divided by 1754.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1.03 and -10.22587.\nAnswer: 10.5326461","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = 4*k - k. Let b be -23*(k - (3 - 6)). Let y = b - -25. Solve -2*g + y + 4 = 0 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p + 48*j + 1624 = 51*j, -p + 810 = 2*j. What is the hundreds digit of p?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-29 + 4*m + 29)*(0*m**3 - m**3 + 0*m**3)*(-2 + 2 - m).\nAnswer: 4*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 7 + (-12 - 0) + (15 - 3)\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**2*f)\/(f**(1\/10)\/f*f)*(f**2)**(1\/4))\/((f\/(f**(-3\/8)\/f))\/f**(2\/13))**(9\/4) assuming f is positive.\nAnswer: f**(-3323\/2080)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -46 + -2 + 58 - (-2 + 5)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand -h**3 + 0 + 0 + (-3*h**2 + 4*h**2 - 3*h**2)*(-3 + 3 + 2*h) + (0*h + 2*h - 3*h)*(h**2 - h**2 - 4*h**2).\nAnswer: -h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*((sqrt(833) - (2 + -2*sqrt(833))) + sqrt(833) + sqrt(833) - 1*(-1 + sqrt(833) + sqrt(833)))*-1*3)**2.\nAnswer: -9450*sqrt(17) + 1687050","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 232, 956, 2160, 3844?\nAnswer: 6008","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + sqrt(396) + -1 + sqrt(396) - (sqrt(396) + (sqrt(396) - sqrt(396)*2) + sqrt(396))*-3)**2 + 3 + (sqrt(396) + sqrt(396)*2 + 3)**2.\nAnswer: -252*sqrt(11) + 13512","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -i**3 + 4*i**2 + 8*i + 2. Let v be j(6). Let l be v\/(-4) + (-1)\/(-2). Suppose -c = 2*k - 54, -4*k + 3*c + 63 = -k. Solve l*o - k = o for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.01 - 22.2885.\nAnswer: -22.2985","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: (1\/(1*3))\/((-163)\/(-3423))\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = 35*i**3 - 2*i**2 + 3*i - 1. Let m be j(1). What is the greatest common factor of m and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (9\/(-4))\/((58566\/344)\/227)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -4, 327, -5, -20, -6 in descending order.\nAnswer: 327, -2, -4, -5, -6, -20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -23 + 4?\nAnswer: -1f","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -170*z**3 - 11*z**2 - 7*z + 7. Let u(f) = -56*f**3 - 3*f**2 - 2*f + 2. Give 4*o(d) - 14*u(d).\nAnswer: 104*d**3 - 2*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -4*r + 1. Let y be h(-4). Let p(v) = -2 - y + v + 9 - 6. What is p(0)?\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -28582, -30636, -32690, -34744?\n\"Answer: -2054*d - 26528","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -6*t**2 - 8*t + 4. Let w(g) = -6*g**2 - g - 2*g + 5 - 5*g. Let k = 3 - 7. Let o(u) = k*w(u) + 5*r(u). Find the second derivative of o(b) wrt b.\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rpar when four letters picked without replacement from rrrrraasarraprarpa?\nAnswer: 1\/85","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n = -2, 6*n = 4*d + 8*n - 6. What is the remainder when 123 is divided by (52\/20 - d)\/(3\/90)?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1 - -3. Suppose -5*v + 27 + 4 = x, 5*x = -y*v + 17. List the prime factors of v.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5 + sqrt(2057) + (sqrt(2057) + 1)*4)*-1 - (sqrt(2057)*-1 + sqrt(2057))*-3*5*3)**2.\nAnswer: -110*sqrt(17) + 51426","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 7*323\/15827*35\/1?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 23 - (-1 - -5) - 1. Let o = -15 + t. What is the first derivative of 5*g**o + g**3 - 19*g**3 + 4*g**3 - 12 wrt g?\nAnswer: -27*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 56 + -45. Which is the biggest value? (a) -5 (b) l (c) 2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -h - 7. Let d be (2 + 0)*1 + -11. Let g be l(d). Suppose -6 = -4*z + 2*u, -9 = g*z + 2*u - 7*u. Is 3 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -5*d**3 + 3*d**2 - 5*d - 1. Let k(v) = 0*v**2 - 5*v**2 + 13*v + 9*v**3 + 2 - 4*v. Determine -3*k(o) - 5*l(o).\nAnswer: -2*o**3 - 2*o - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 312550 to the nearest integer?\nAnswer: 559","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2.36 - 2.605. Let m = 0.055 - s. Which is the closest to 0.1? (a) m (b) -3\/17 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -138 and -436.2.\nAnswer: 60195.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = 7*w + 16. Let c be n(-4). Let s = -10 - c. Find the second derivative of 5*o - s*o + o**3 + 10*o**3 wrt o.\nAnswer: 66*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1092 and 3120.\nAnswer: 21840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 384 = 45*z - 95 + 209 for z.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-11*w**2 + 0*w**2 - 3*w**2)*(-3*w + 2*w + 3*w)*(3 - 4 - 1) - 4*w + 2*w**3 + 4*w.\nAnswer: 58*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -0.5, 2, -19\/10, 24?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/75 in -2\/3, -3, 1\/2, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = 2*k - 7. Let o be i(7). Suppose -y + 13 = -o. Let d be (-8)\/6*6\/y. Is d > -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1480 and 1184?\nAnswer: 5920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 65, 15, -35, -85, -135?\nAnswer: -185","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -118047\/889 + 930\/7. What is the common denominator of b and 44\/7?\nAnswer: 889","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -2*z**3 - 3*z**2 - 8*z. Let s(a) = a**3 - a. Let b(u) = s(u) + t(u). Let x be b(-7). Suppose -5*o = -x - 196. Is o composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l = 2*l - 3*o, -3*l - 5*o + 29 = 0. Suppose -2*v + l = v. Suppose -40 = -2*x + 2*f, -x + 5*f + 5 - v = 0. Does 9 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -5 - -9. Let n(s) be the first derivative of 2*s**3\/3 - 9*s**2\/2 + 9*s + 6. Let q(b) = 5*b - b**2 + 2*b - 4 - 3*b. Determine z*n(l) + 9*q(l).\nAnswer: -l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -10 (b) 1 (c) -2\/15 (d) 0.1 (e) 26 (f) 8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 2658263 to the power of 1\/3, to the nearest integer?\nAnswer: 139","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 223 is divided by 86?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y = -5*v - 2*y - 30, 3*v - 10 = 5*y. Let m(x) = -x**2 - 4*x. Calculate the common denominator of m(v) and -13\/5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*u + 62 - 14. Suppose -14*h = -18*h + u. Let f = -9 - -25. Solve -v - 5*y = -20, 3*v - y + f = h*y for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -17 - -32. Suppose 0 = f - 3*t - 8, -40 = -f + t - 6*t. Let s = f + -12. Calculate the remainder when d is divided by s.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 421, 1690, 3805, 6766?\nAnswer: 10573","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00159495 to five decimal places.\nAnswer: 0.00159","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 21697 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 80298 is divided by 19665?\nAnswer: 1638","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -11011121120 - -10?\nAnswer: -11011121110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (1 - -6)*(-18)\/(-42). Suppose -161948 = -r*c - 57332. Let j = c - -128. What is j rounded to the nearest ten thousand?\nAnswer: 40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (230\/(-20))\/(-46 - 7280\/(-160)).\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find r, given that 4*r**2 + 184*r - 5984 = 0.\nAnswer: -68, 22","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 20 (base 5) to base 12\nAnswer: a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 89\/379042 and -27\/869.\nAnswer: 4169462","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -9*p + 6. Let i(s) = -6*s**3 + s**2. Let z be i(1). Is d(z) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -9*d - 1. Let j(q) = -2*q - 175. Let i(v) = -2*v + 58. Let z(l) = -3*i(l) - j(l). Calculate -4*k(y) - 5*z(y).\nAnswer: -4*y - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) be the first derivative of -3\/2*p**2 + p - 11. What is m(2)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 220 = n + n. Suppose -4*p = 5*h - n, 3*p + 13 - 118 = -5*h. Let c = -2 + h. What is the tens digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = n - 2*h - 84, -n - 4 = 2*h - 72. Calculate the remainder when 454 is divided by n.\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = 4*o**3 - 2*o + 1. What is h(2)?\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6 - (-4 + (-4 - -3)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = 2*d**2 + 2*d**2 + 1 - d**2 + d**2. Give m(-1).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -58 + -1 - (-413 + 333)?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1 + -1211?\nAnswer: -1212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.94656us in minutes?\nAnswer: 0.000000065776","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15*30\/315*7.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1110 (base 2) in base 8?\nAnswer: -16","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -o**2 + 740*o + 71063. Give l(-86).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) be the second derivative of n**5\/20 + 2*n**4\/3 + 2*n**3\/3 - 3*n. Is h(-7) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 8 + -4. Let i be y\/14 - 40\/(-7). Solve -6 = -i*a + 4*a for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 0 - -25?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Work out -14 - 230.715.\nAnswer: -244.715","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put -595, 2, 8293, -5 in ascending order.\nAnswer: -595, -5, 2, 8293","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j + 3 = 5, o + j = 177. Suppose 166 - o = -v. Solve d + 5*w - 2*w = v, 0 = -2*d + 3*w - 21 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 195757 and 1957570.\nAnswer: 1957570","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1 (b) 1\/4 (c) 246\/19 (d) 62.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1\/2, 0.8, -187\/6, 3, 4, 0.3163?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 4775 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*c = -29*c - 196350. Let t = -28 + -11. Is -5 + t\/(-9) - c\/9 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -2 + -1 - (12 + 247\/(-13)). Calculate the greatest common divisor of m and 1436.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 75600440 and 80?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3019 + 3087 - 131*k**2 + 259*k**2 - 6106 - 127*k**2.\nAnswer: k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 345 a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide 190595070 by -63531690.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 5424828 divided by 1808276?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1\/272 + 409\/272. What is the third biggest value in 5, -25, 3, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 562202.5 minutes to milliseconds.\nAnswer: 33732150000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*l - 16 - 26 = 0. Suppose n + 8 + l = 4*x, 5 = n. Solve 5*m = 5*s + 30, 0*s = x*s - 4*m + 26 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 2, o: 1, s: 1, z: 4, k: 3}. Give prob of sequence zzkh.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 158572.9 to the nearest ten thousand.\nAnswer: 160000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0 + -1. Let q = 1610 - 1613. Let r = -2273\/13 + 175. What is the nearest to f in r, q, 2?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 4 - -670?\nAnswer: 674","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -10, -1715, -1.\nAnswer: -1715, -10, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v + 463 = -4*j, -v - 3*j + 156 = -4*j. Is v prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -81 + 58 + 7 + (-3 - -8)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -i**3 - 185*i**2 + 1548*i + 632. Calculate j(-193).\nAnswer: -140","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:48 PM and 12:59 AM?\nAnswer: 491","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2 = 5*p + f - 7, 0 = p + 5*f - 25 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = 7*r**3 + 4*r**2 + 150*r + 5. Let y(h) = 22*h**3 + 15*h**2 + 450*h + 17. Calculate 7*m(b) - 2*y(b).\nAnswer: 5*b**3 - 2*b**2 + 150*b + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 - ((-11 - -3) + 2)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*j**2 + j**2 - 3*j**2)*(-53*j - j**2 - 25 - 11*j + 114*j) to m*j**4 + g*j + p + c*j**3 + s*j**2 and give m.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2148 is divided by 876.\nAnswer: 396","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-o + 2*o + 3*o)*(2*o + 4*o - 3*o)*(5*o**3 + o**3 - 4*o**3).\nAnswer: 24*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -4 - -7c58a8d?\nAnswer: 7c58a89","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 90 = -2*s - 4*l, s + 3*l + 87 = -s. Let c = s + 86. What is the tens digit of c?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:33 PM and 1:38 AM?\nAnswer: 665","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*b**4 + 2*b - 3725 - 3*b**4 + 3725)*(-5 + 5 + b).\nAnswer: -7*b**5 + 2*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11381 (base 14) to base 2.\nAnswer: -1010001110000101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 308628\/77 at most 4008?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) be the second derivative of 339*v**5\/20 + 7*v**3\/6 + 2*v**2 - v - 76. What is the second derivative of i(j) wrt j?\nAnswer: 2034*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b + 7 = -c, 0*c - 4*c - 8 = 2*b. Suppose 97 = 4*q - b*q - f, -2*q = f - 107. What are the prime factors of q?\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) be the second derivative of -t**3\/6 - 2*t**2 - 3381*t. Suppose c - 5*r - 16 = -r, -2*c - 7 = 5*r. Give a(c).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -442273394.90000138 - -442273401. Let r = -6.1 + t. Round r to seven dps.\nAnswer: -0.0000014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -477.417 rounded to the nearest 10?\nAnswer: -480","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 48859.854 to the nearest ten thousand.\nAnswer: 50000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f**4\/4 + 1840*f**3 + 3389278*f**2 + 13535040*f + 13527684 = 0. Calculate f.\nAnswer: -3678, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 4, 11, 1 in decreasing order.\nAnswer: 11, 4, 1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o and 1 c when two letters picked without replacement from iiociiioiiiioo?\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 1322185 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 - 8 - (1 + -3 + 15).\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 277168.2ns to minutes.\nAnswer: 0.00000461947","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.06 - 0.94. Let g = 2 + -7\/4. Let j(t) = -4*t**3 - t + 1. Let c be j(1). Sort r, g, c in increasing order.\nAnswer: c, r, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2304)\/(-80))\/(-12)*765\/102.\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = 3255*b**2 - 280*b - 280. Let w(o) = -35*o**2 + 3*o + 3. Let v(d) = 280*w(d) + 3*x(d). Let y(a) = 2*a**2. Give v(y(u)).\nAnswer: -140*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2220 + 20*d + 4407 - 2203.\nAnswer: 20*d - 16","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(312)\/(sqrt(12)*4) + (sqrt(312) - sqrt(312)*-3)\/sqrt(12))\/((-2*sqrt(320) + sqrt(320))\/(sqrt(80)\/sqrt(32) + sqrt(10))).\nAnswer: -51*sqrt(13)\/32","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8444*c - 31 + 2 = -8452*c - 6*l + 3*l, 0 = -2*c + 7*l + 15 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) be the third derivative of 377*p**7\/210 - 25*p**4\/4 - 2*p**3\/3 - 2*p**2 + 2094. Find the second derivative of q(d) wrt d.\nAnswer: 4524*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -157.5 + 127. Let u = 5.8 - q. Let n = 10.4 - u. What is n rounded to zero decimal places?\nAnswer: -26","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dvtvvwvvcpv. Give prob of picking 1 d and 1 p.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9 + 1 - 10 + 0*h - 5*h.\nAnswer: -5*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express (4*t**2 - 2*t**3 + 2*t**2 - 5*t**2)*(-2*t + 0*t - 11*t) - 4 - 2*t**4 + 4 in the form p + u*t + h*t**4 + b*t**3 + c*t**2 and give b.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 106050570.\nAnswer: 2, 3, 5, 71, 49789","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -2*j**2. Let y(p) = -83*p + 1. Calculate y(b(i)).\nAnswer: 166*i**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is -61820 < -0.03?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (181*x**2 + 2*x**3 - 339*x**2 + 2134*x**2)*(1 + 5 - 5) to s*x**3 + f*x + w*x**2 + b and give w.\nAnswer: 1976","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*u - 2*u - 32 = 0. Suppose -5*k = 2*h - 45, 3*k = -u - 7. Solve -5*t + h = -5*y, -y - 3*y + 2 = 2*t for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -180857882, -180857881, -180857880, -180857879, -180857878, -180857877?\n\"Answer: i - 180857883","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hkik when four letters picked without replacement from {k: 2, b: 1, c: 8, h: 3, i: 5}?\nAnswer: 5\/15504","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j + 56 = 5*w - w, 3*j - 5*w - 95 = 0. Let a be (-6)\/(-5)*j\/(-9). Let h(c) = -c - 1. What is the units digit of h(a)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = t**2 + t - 1. Let o(r) = 2*r**3 - 10*r**2 - 6*r + 8. Calculate o(m) + 6*w(m).\nAnswer: 2*m**3 - 4*m**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f*f**0*f\/(f*f*f\/f**(-4\/11))*f\/f**3*f**(3\/2))**(-2) assuming f is positive.\nAnswer: f**(41\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -r - 2*n = -27, 228*r + n = 344*r + 236 - 2902 for r.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ttt. What is prob of sequence ttt?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 7\/2 of a day?\nAnswer: 84","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -11 + 24. Suppose 7 = 11*m - 10*m. Suppose -10*a = -m*a - 195. What is the highest common divisor of a and y?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-54)\/15 - -3)*20740\/(-244)?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h + 2*c = 2*h + 1, 0 = 3*h + 2*c - 5. Let n be 3 - 5 - h*-2286. Suppose 5*s + 629 = n. Is s composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = 1062*z - 295. Let p(s) = s + 31. Let l(x) = p(x) + w(x). Differentiate l(c) with respect to c.\nAnswer: 1063","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -b - 3. Let z be p(-4). Let g be -55 + 2 + z\/1. Round g to the nearest ten.\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v + 2*v - 3*k - 25 = 0, 0 = 5*v + 5*k - 75. Suppose 0 = -8*p + v*p - 226. What is the units digit of p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = 70*x**2 + 4*x. What is the remainder when m(1) is divided by 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 157106?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does -108\/156911 = 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*h + 1050 = 34*h. What is the tens digit of h?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1\/2*k**4 - 334560*k - 410*k**3 - 84866*k**2 - 332928 = 0. Calculate k.\nAnswer: -408, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5\/226, -28\/13, -1.\nAnswer: -28\/13, -1, -5\/226","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1870744 and 582448?\nAnswer: 220747792","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 29686, 29685, 29684?\nAnswer: 29683","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r**5\/17 + 16*r**4\/17 - 20*r**3\/17 - 16*r**2\/17 + 18*r\/17 = 0. What is r?\nAnswer: -9, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -4*s + 3. Let q = -9 + 5. Is l(q) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2008*m**2 - 735*m**2 - 650*m**2 - 743*m**2.\nAnswer: -120*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 6103 (b) 5 (c) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 3, n: 6, v: 5, t: 1, c: 3, x: 2}. Give prob of sequence nnn.\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + 7 + 2 - (-23 + 0 + 20).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -w**2 + 198*w. Let p(s) = -5*s**2 + 792*s + 1. What is -3*p(c) + 13*t(c)?\nAnswer: 2*c**2 + 198*c - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.7 (b) -4 (c) 38 (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -793 - -793.0755. Let y = -0.071715 + u. Round y to 3 dps.\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -5*3\/(-15) - 514. Let x = q + 930. Does 19 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 95 = 19*i - 0. Solve -i*g = -5*t, -1 = -g + 4*t - 7 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 605718 is divided by 224?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 37\/36 and -4 - (8\/28 + (-3669)\/420).\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 30313 + 1011?\nAnswer: 31330","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 2302323 (base 4) to base 14\nAnswer: 425d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -11*d**2*k**2*q**3 + 42*d**2*k*q**3 - 6*d**2*k*q + d*k**2*q - 6*k**2*q**2 wrt q.\nAnswer: -66*d**2*k**2 + 252*d**2*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -2*s - 13*s + 3*s. Let n be c(-3). Let h = n - 5. Is h a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 54 + -51. Suppose -2*d + 0*n = o*n + 114, 4*n - 46 = d. Let i = d - -59. What is the units digit of i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -790 + 791. Let v = 0 - 0.1. What is the second smallest value in v, w, -1\/34?\nAnswer: -1\/34","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 44428967?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*o + 4*u + 42, -36*o - 3*u - 19 = -35*o for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) be the first derivative of -y**4\/12 + 10*y**3\/3 - 8*y**2 + 2*y + 8. Let f(c) be the first derivative of v(c). Is f(19) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-9\/4)*v*v\/v**4)**27*(v*(v*v**1)\/v)**(-45)*v\/(v\/(((v*v*v*v**(-1\/5))\/v)\/v))*(v**(-4)*v)\/v assuming v is positive.\nAnswer: v**(-4159\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2 + -2 + sqrt(1872) + sqrt(1872)*2)*-1)**2.\nAnswer: 16848","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -803 (base 12) to base 11\nAnswer: -960","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 163 - 153. Which is smaller: t or -1.1?\nAnswer: -1.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -m**2 - 5*m + 6. Let y be (0 - 2)\/(-1) - -18. Suppose a = -3*a - y. Calculate s(a).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3119498?\nAnswer: 2, 1559749","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 q when three letters picked without replacement from kkkkkqqkkqkqqqqkki.\nAnswer: 35\/816","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Are -168537 and -163829 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zpk when three letters picked without replacement from kzpzzlg.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 330 and 30.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z + 1 = -3*o + 145, -161 = -5*z + o. Let v = -20 + z. List the prime factors of v.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from frrnrfnfrnrrf. Give prob of picking 2 f.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2\/13, -0.08, -2415?\nAnswer: -2415","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 33368389 + -22568389. Suppose 0*f + 12 = 4*f. Suppose -f*v = v - s. What is v rounded to the nearest 1000000?\nAnswer: 3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-2 + 10)\/((-2)\/(-11)). Calculate the greatest common factor of 11 and m.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*s + 3 + 3. Let u be s\/(5\/(-2) - -3). Let k(o) = 2 - 1 + o + 3. What is k(u)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = s**3 - 369*s**2 - 745*s + 1104. What is z(371)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 10567 and 7.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3 in -2\/259, 0.3, -2\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -225*w + 84. Give z(1).\nAnswer: -141","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = 142*w + 32. What is the remainder when o(2) is divided by 23?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g\/(g*g*g**3*g)*g)**(-27)*((g\/(g*g**5))\/g*g)\/g*g**(-6\/7) assuming g is positive.\nAnswer: g**(708\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 49314 is divided by 289.\nAnswer: 184","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is (-9*57\/1539)\/((2\/(-33))\/2)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 572986064 and -7861?\nAnswer: 572993925","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -89.7? (a) 4 (b) -0.2 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1.4 - 1.67. Let r = l + 0.07. What is the second biggest value in 1, r, 5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -42307, -42282, -42257, -42232?\nAnswer: -42207","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -82, -28, 338, 1172, 2630?\nAnswer: 4868","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2.28 - -2.78. Which is the second smallest value? (a) q (b) 1\/3 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (9\/(-45))\/(18\/15). Which is the third smallest value? (a) -3 (b) 1 (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8469 to the power of 1\/2, to the nearest integer?\nAnswer: 92","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -10*c - 94. Let j be a(-9). Let p be (j\/8)\/(1\/(-4))*1. Solve 3*f - 3*u - 7 - 2 = 0, 1 = -3*f - p*u for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 84\/5 - 17. Sort 2\/15, 1\/8, r, 0.01.\nAnswer: r, 0.01, 1\/8, 2\/15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2210\/(-714))\/(405\/(-486)).\nAnswer: 26\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w + 3*i = -3, -80*w = -78*w + 6*i + 14. Determine v so that -15\/4*v - 3\/2*v**w + 15\/4*v**3 + 3\/2 = 0.\nAnswer: -1, 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 9 - 5. Suppose 2*f - 6 = o. Solve 1 = i + f for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (217\/155)\/(6\/(-5))*(-11)\/((-154)\/(-588))\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wwe when three letters picked without replacement from {m: 3, w: 2, e: 1, o: 4}?\nAnswer: 1\/360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ipzpiizppzpzp. What is prob of sequence ipzz?\nAnswer: 9\/715","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 2, j: 1, a: 1, f: 1}. Give prob of sequence fj.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -257 - -257.3. What is the second biggest value in 30, -1\/8, z, -0.2?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 78371 is divided by 4870.\nAnswer: 451","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence aqac when four letters picked without replacement from {c: 1, q: 3, a: 3}?\nAnswer: 3\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) be the third derivative of k**9\/10080 + k**8\/1440 + k**7\/1260 + k**5\/60 + 2*k**2. Let p(y) be the third derivative of s(y). Factor p(w).\nAnswer: 2*w*(w + 2)*(3*w + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -16? (a) 17 (b) -5 (c) 13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = 18*x**2. Let n be 20\/(-5)*2 + -2. Let g(w) = w**2. What is n*g(u) + 2*s(u)?\nAnswer: 26*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 714178 - -555?\nAnswer: 714733","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -474 - -473.96. Which is the second biggest value? (a) -3\/2 (b) 4 (c) 0.5 (d) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of ((-2)\/25 - 1105\/6500)*(-22)\/584 and 79\/22?\nAnswer: 12848","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5 - (56 + -54 - (8 + 0))\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 96 = -5*g + 4*a, -4*g = 3*a + 82 + 1. Let w be 8\/6*2\/(g\/(-15)). What is o in -1\/6*o**3 + 0 - 1\/3*o**4 + 0*o**w + 0*o - 1\/6*o**5 = 0?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = 115502649*k. Let d(b) = -5*b. Give q(d(r)).\nAnswer: -577513245*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 50097641?\nAnswer: 11, 4554331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 181236?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 223470 and 624?\nAnswer: 1787760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 593 - 6. Suppose -7*z = -c + 342. Let d(q) = 6*q**3 + 2*q**2 - 2*q + 1. Let n be d(1). Solve -3*y - 4*t - z = 0, -3*y + t = 3 + n for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:59 AM and 11:17 PM?\nAnswer: 678","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -10*b + 5. Let z be v(-4). Let i = 9 - 15. Let g = -1 - i. Calculate the greatest common factor of g and z.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4.01 plus 343643944?\nAnswer: 343643939.99","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -58\/15 and 1\/505120.\nAnswer: 1515360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -10*(3 - (-17)\/(-5)). Suppose q*w - 16 = -g, 4*g + 40 = 4*w - g. What is the second derivative of -w*i + 30*i**4 - 16*i**4 - 21*i**4 wrt i?\nAnswer: -84*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12981412.\nAnswer: 2, 1609, 2017","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.011 - 133.989. Let d = -127.9 - x. Is d not equal to 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -14*n**2 + 4*n + 3. Give t(4).\nAnswer: -205","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = -5*b - 2*w, 7*b - 4*b - 2*w - 8 = 0. Suppose 390 = m - h, b*h + 5*h = -m + 396. Is m a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-4)\/(-30) - 523\/(-15). Let c = w + -41. Are c and 0 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1277 - -5111\/4. Let q(g) be the second derivative of 7\/4*g**4 + 0 - 8*g - m*g**5 - g**3 + 0*g**2. Determine v so that q(v) = 0.\nAnswer: 0, 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*c**3\/5 + 36*c**2\/5 + 8*c\/5 - 144\/5.\nAnswer: -2*(c - 18)*(c - 2)*(c + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2\/(-8) + 11106\/(-216). Let f = -52 - l. Which is the biggest value? (a) -0.1 (b) f (c) -4 (d) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*f - 98 = -118 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.54 + -23.54. Let j = -26.017 + 0.017. Let q = n - j. What is the closest to 1 in 1, q, -0.5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 5 + -12. Let c = u - -3. Are -6 and c equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 137 a factor of 9864?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -899293 divided by 103\nAnswer: -8731","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -23 - -56. Let h = 36 - u. Suppose 5*k - 43 = -4*o, -4*o + h*k = -0*o - 83. What is the units digit of o?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate x + 2 - x - 7*x**2 + x**2 wrt x.\nAnswer: -12*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 15\/63 + (-900)\/9450\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b - 4 = -b. Suppose 0 = b*n - 4*a - 6, 3*n + 6 = 4*a + 21. Let t = -4 + n. Solve 13 = t*h - 7 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -x**2 - 43*x + 136. What is j(-46)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -15 in 0, 14, -2\/3, -0.07?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -153016 (base 8) to base 14\nAnswer: -15d82","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 255?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 1001100000011000001 (base 2) to base 12\nAnswer: 130315","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 110672757?\nAnswer: 3, 13, 23, 13709","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (5 - 2) + (0 - (-1 - 1))\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 41 and 9020?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 3*(3 + -2) - 110\/18. Which is bigger: h or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1262580 to the power of 1\/3, to the nearest integer?\nAnswer: 108","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = 136*u**2. Let x(c) = -2*c. Determine x(w(g)).\nAnswer: -272*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert cd2cd8 (base 15) to base 8.\nAnswer: 45236066","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3 - 22\/7. What is the second biggest value in -2, i, -21?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 8.6 and -1.49.\nAnswer: -12.814","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*x - 317 = -2*h - x, 3*h - 4*x = 486. What is the remainder when h is divided by (-4)\/(((-32)\/(-28))\/(-4))?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -34*a + 9 + 5273226*a**2 - 5273225*a**2 - 92 as o*a**2 + y*a + m and give o.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -4\/27?\nAnswer: -4\/27","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-2\/5)\/v)**(2\/17) assuming v is positive.\nAnswer: v**(-14\/85)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.85 * 0.157769.\nAnswer: -0.13410365","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -21, -6, 0, 5 in increasing order.\nAnswer: -21, -6, 0, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 25 divide 4277225?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3691\/18 - 205. Let d(i) be the first derivative of -p*i**3 + 5\/6*i**2 + 3 - 25\/6*i. Let d(f) = 0. What is f?\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 44.98275 days to hours.\nAnswer: 1079.586","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 284993, 570000, 855025, 1140068?\nAnswer: 1425129","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve o - 4*n - 11 = 2*o, 5*o - 2*n - 33 = 0 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -7.18 + 1.18. Which is the fourth biggest value? (a) -0.1 (b) 8 (c) m (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2.7 - 3.7. What is the nearest to n in 0.1, 6, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/2011, -2\/383, -1.1 in ascending order.\nAnswer: -1.1, -2\/383, 2\/2011","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2\/21 - 2\/21*l**2 + 2\/21*l**3 - 2\/21*l.\nAnswer: 2*(l - 1)**2*(l + 1)\/21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-10)\/14 - (-61)\/105.\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30 = 2*y + 4*b, 2*b - 17 + 7 = 0. Solve g + d = 5*g + 20, -y*d + 32 = -3*g for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*c + c = 100100. Suppose -18*b + 7*b + c = 0. What is the hundreds digit of b?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yyehyhhyayyyyyyaaha. Give prob of sequence ey.\nAnswer: 5\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 543 minutes after 12:38 PM?\nAnswer: 9:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2949, 2978, 3015, 3060?\nAnswer: 3113","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -10 + (-14 - (-45 - 52)).\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -81*b**2 - 77*b**2 + 152*b**2. Let k(m) = 8*m**2. What is k(u(g))?\nAnswer: 288*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p**(-9\/10)*p**(-25)*(p\/p**(-13\/7))\/(p**(-2\/13)\/p) assuming p is positive.\nAnswer: p**(-19919\/910)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -99 - -47. Let q = 54 + m. Suppose -3*s = l - q*s - 17, -l - 5*s = -37. Solve -l = -2*c + 5*c for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l + 49 = 2*x, -5*l = x - 10*l + 3. Calculate the highest common divisor of 44 and x.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 3361, 3423, 3519, 3649, 3813, 4011?\n\"Answer: 17*b**2 + 11*b + 3333","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -68\/6428775 and -7\/2142925?\nAnswer: 6428775","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = 6*n + 1. Let m be 152\/36 + 4\/(-18). Is 25 a factor of k(m)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c = 3*o - 25, -5*c + 566*o = 571*o - 25. Put 30, -2, c, -31 in ascending order.\nAnswer: -31, -2, c, 30","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -60543, -61444, -62945, -65046, -67747, -71048?\nAnswer: -74949","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 35*k - 326 = 129 for k.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(68) + -4 + sqrt(68)*3)*6)**2.\nAnswer: -2304*sqrt(17) + 39744","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d*d**3)\/d**(-12)*(d*d\/(d**(5\/6)\/d*d))**38 assuming d is positive.\nAnswer: d**(181\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 29593755 bigger than 29593752?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = 34*k**3 - k + 1. Let q be z(1). Let p = q + -33. Let d(r) = -6*r**2 + 1. What is d(p)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -22c (base 13) to base 9.\nAnswer: -457","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find c, given that -4*c**4 - 1144*c**3 - 74644*c**2 + 1022736*c - 3196944 = 0.\nAnswer: -149, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/2? (a) 9 (b) 1 (c) -0.051\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) be the first derivative of -q**3 + 15*q**2 - 33*q - 164. Let h be z(13). Round h to the nearest one thousand.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1\/88 + 7\/110. Let m(y) be the third derivative of 0*y**4 + 6*y**2 + 0*y + 1\/3*y**3 + 0*y**5 + 0 + w*y**6. Differentiate m(v) wrt v.\nAnswer: 27*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1620 divided by 27\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26*k - 37 = 15 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -i - 6. Let q be g(0). Let b be q\/(-14)*4\/6. Let v = 128 - 123. What is the biggest value in -4\/9, b, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.3 or 13462\/6195?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = 8223*b. Let x(z) = -2*z**2. Determine v(x(u)).\nAnswer: -16446*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 5 and -8437530197?\nAnswer: 8437530202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 96 = -28*x + 4*x. What are the prime factors of 524 + 10 - (1*x)\/1?\nAnswer: 2, 269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14236352?\nAnswer: 2, 13, 71, 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) be the first derivative of -60*o + 140*o**2 + 112*o - 65*o + 282. Differentiate c(t) with respect to t.\nAnswer: 280","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 5*d**6 + 33*d**3*y - 19*d**2 + 22*y wrt d?\nAnswer: 600*d**3 + 198*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*a**3*w**3 - 78*a**3*w**2 + 8*a**3 - 14*a**2*w**3 - a**2*w**2 - a + w**2 wrt a?\nAnswer: -12*w**3 - 468*w**2 + 48","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l = 6*l - 4*s + 1280, -5*l - 3200 = 5*s. Let b be (-6 - -8)*1\/(-1). Does 6 divide l\/(-24)*(-3)\/b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -2*y**3 + y**2 + y + 1. Let f(b) = 11*b**3 + 3*b**2 - 52*b + 2. Let g(c) = -f(c) - 5*m(c). Give g(-12).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.001591 to 4 decimal places.\nAnswer: 0.0016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 606 is divided by 77?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4 by 97198.\nAnswer: -2\/48599","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -2.180386 to three decimal places.\nAnswer: -2.18","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1.886 + -2.066. Which is smaller: -343 or s?\nAnswer: -343","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -31 - 3*w**2 - 18*w + 4*w**2 + 11. Does 34 divide x(22)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.37197059 to three dps.\nAnswer: 0.372","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 149229*5.\nAnswer: 746145","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2714149673.\nAnswer: 3049, 890177","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -2526 times -3.4896\nAnswer: 8814.7296","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1776 and 100307.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1)\/(6\/22))\/(25\/(-75)) - 0\/415.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1\/21)\/(-3 + (-56)\/(-24))?\nAnswer: -1\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 6*2\/(-3) - -4. Suppose 5*z - 4295 = -5*y, 2*z - 1577 = -3*y + 137. Let d = -8639\/10 + z. Which is greater: b or d?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:26 PM and 10:43 PM?\nAnswer: 77","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -952247*r + 952895*r - 14904 = 0 for r.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 38 = b - 5*o, -b = 50*o - 46*o - 29. Sort 1, 0, b.\nAnswer: 0, 1, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 19213 and -1.\nAnswer: -19213","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.5, -4, 290, 9, -2\/9, 0?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ote when three letters picked without replacement from {o: 8, e: 8, t: 1}.\nAnswer: 4\/255","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -792 - -3185\/4. Let t = -855 - -858. Which is bigger: t or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -7\/2763 and -23\/35983470?\nAnswer: 107950410","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = 3*u + 0 - 3*u**2 - u**3 - 1 - 5*u. Let n be t(-4). Let s = n + -10. Does 13 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/10)\/((-75)\/(-150)).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l, 1 n, and 1 f when three letters picked without replacement from liifnili.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.356 - 0.326. Which is the third biggest value? (a) 0.2 (b) 1 (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m = -m - 21. Let z = m + 11. Suppose -3 = -4*r + i, 3*i = 2*r - 0*r + 11. Calculate the remainder when z is divided by r.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t + 37 = 2*j, 2*j + 3*j - 75 = t. Suppose j = w - 7. What is the remainder when 66 is divided by w?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1382 (base 13) to base 7.\nAnswer: -11123","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 + 4 + (47 - 30) + 0 + 1?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = 21*g + 9. Let t(w) = 20*w + 6. Let q(r) = -2*o(r) + 3*t(r). Let y(h) be the third derivative of -h**4\/24 + 2*h**2. Give q(y(a)).\nAnswer: -18*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 2.574469kg?\nAnswer: 0.002574469","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 0 + 2)*(0 + 0 + 1)*(5*t + 3*t - t).\nAnswer: 7*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/3 in -1\/5, 3\/7, -3\/7, -45?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-2 - -12)\/((-8)\/(-12)). Let n be 4*1 + (-11 - -9) - 0. Suppose 0 = n*h + 10*h - 3060. Calculate the highest common divisor of h and v.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(39) - sqrt(39)*-3)*4)\/(5*sqrt(6)\/sqrt(2)).\nAnswer: 16*sqrt(13)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*p = -28*j + 196, -9*j + 14*j - 6*j + 4*p = p - 7 for j.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-26 - (-29319)\/432) + -42 - (-1)\/18*2.\nAnswer: -1\/48","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 971247\/28 - 34691. What is the common denominator of (539\/(-21))\/((-64)\/(-24)) and x?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.0577 + -82.9423. Which is the biggest value? (a) 0.1 (b) r (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*n**2 - 636652*n + 636656.\nAnswer: -4*(n - 1)*(n + 159164)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 11536?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jbjbbbbb. Give prob of sequence bjb.\nAnswer: 5\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3 (base 16) to base 13.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y and 1 n when two letters picked without replacement from {h: 2, n: 3, y: 3, c: 9}?\nAnswer: 9\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -2*s**2 - 59*s - 644. Let c(b) = -11*b - 130. Determine 11*c(r) - 2*z(r).\nAnswer: 4*r**2 - 3*r - 142","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*(3*sqrt(84) - sqrt(84))*-3)\/((sqrt(1008) - -2*sqrt(1008)*4)*4))**2.\nAnswer: 1\/432","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 7 - (14 + -12) - (1 + 3 + -1)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2790 is divided by 347?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = 5*h**2 + 29*h - 1. Let i(d) = -3*d**2 - 19*d + 1. Let u be (-15)\/(-1 - -4)*-1. Let a(b) = u*x(b) + 8*i(b). Calculate a(6).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = 31*g + 361. Give m(-6).\nAnswer: 175","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30*g - 86*g = 168. Let n = -0.08 + -3.92. What is the second biggest value in 1\/3, n, g, 13?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2187570*u**3 - 3441667?\nAnswer: 6562710*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*r - 4*l = l + 65, -4*r - 47 = -3*l + 8*l for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Do -230936 and -230936 have different values?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 193 + -156. Let y be (t\/(-111))\/(10\/(-48)). Suppose 0 + 4\/5*h + y*h**3 + 2\/5*h**4 + 2*h**2 = 0. What is h?\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g - 3*o - 156 = 0, 0 = -5*g + g + o + 156. What are the prime factors of g?\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 26 and 72423?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -310 + -4?\nAnswer: -314","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -327*c - 23 - 195 = 36*c + 3412 for c.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 18 + -29. Let j = 10 + c. Is (5 - 2) + (-1434)\/j prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.07 > 962\/1279?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 9 and 6?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 9*z**2 - 17*z**3 + 14*z**2 + 13*z**3 - 7*z**2 wrt z?\nAnswer: -24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -11, 3, 13 in decreasing order.\nAnswer: 13, 3, 1, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -194 = -4*v - 30. What is the units digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*a + 8*a - 14*a**4 - 179*a**3 + 2 + 18*a**4 - 4*a in the form p*a**3 + o*a**4 + k + l*a**2 + f*a and give o.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: Sort -0.3, 125, 0.4, -3\/5, 26, 4 in decreasing order.\nAnswer: 125, 26, 4, 0.4, -0.3, -3\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = 10 - 14 + 0*n**3 + n**3. Let i be p(0). Let q(o) = -5*o - 16. Let k(w) = w + 3. Let a(j) = 11*k(j) + 2*q(j). Calculate a(i).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u = u - 12. Suppose -3*w - 5*z + 5 = -3, w - 14 = u*z. What is the remainder when 15 is divided by w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(36)\/sqrt(4)*-5)\/(sqrt(9)\/sqrt(3)*6).\nAnswer: -5*sqrt(3)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 21949, 22261, 22571, 22879, 23185, 23489?\nAnswer: 23791","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 537383*l - 287906 wrt l?\nAnswer: 537383","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -182 + 4?\nAnswer: -17e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -4 + 1058?\nAnswer: 1054","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 1467\/62 = 25?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 206, 210, 216, 224, 234, 246, 260?\n\"Answer: s**2 + s + 204","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o = d - 17, -d - 5*o = 4*d - 5. Let r be -3 + (14\/8)\/(d\/(-6)). Suppose -1\/2*a + 0*a**4 + 0 + a**3 + 0*a**2 - r*a**5 = 0. Calculate a.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = 2*q**2 - 11*q + 5. What is the remainder when r(7) is divided by ((-56)\/42)\/((-2)\/21)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wb when two letters picked without replacement from {b: 2, w: 1, q: 1}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -991*q = -241*q - 15750 for q.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) be the first derivative of 6*x**2 + 92*x - 35. What is the least common multiple of 24 and o(-5)?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = g**3 + 25*g**2 - 24*g - 8. Determine v(9).\nAnswer: 2530","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:30 PM and 4:09 AM?\nAnswer: 279","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0, 6, 0.38, -0.78, -1, 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 199 a factor of 2622278?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -30*(-36 - -11)\/375 + -23?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 76, 22, -1, -5.\nAnswer: -5, -1, 22, 76","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -5*t**2 + 989*t - 704. Determine l(197).\nAnswer: 84","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.329 - -0.071. Sort 10, 2, w in ascending order.\nAnswer: w, 2, 10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -199.5 + 200.3032. What is b rounded to 1 decimal place?\nAnswer: 0.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 65314392 and 65314392?\nAnswer: 65314392","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 46 divide 1053?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 13765 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let -b**4\/2 + 4409*b**3\/2 - 4857613*b**2\/2 - 4870845*b\/2 + 4862025 = 0. Calculate b.\nAnswer: -2, 1, 2205","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -50*r**3 + 8*r**2 + 9*r - 8. Let u(w) = -99*w**3 + 18*w**2 + 19*w - 18. Give -9*d(j) + 4*u(j).\nAnswer: 54*j**3 - 5*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27*o + 9 + 18 = 0. Let s be (-8 + -2 + 9)*o*-3. Solve t + 3*t = -s*n - 3, 4*t = 12 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1483*n*s**3*y + n*s*y + 382*n + 493*s**3*y + 439*y with respect to n.\nAnswer: 1483*s**3*y + s*y + 382","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -13363 + 13427. Solve -69*a = -v*a - 35 for a.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x - 83 = -204. Calculate the remainder when x is divided by 42.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = 79*m - 6. Let s(x) = -92*x + 5. What is 4*s(u) + 5*y(u)?\nAnswer: 27*u - 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 + 3 - 3 + (1 - 2 + 0)*(1 + 6 - 4) + 4 - 2 + 1)*(17*w**3 + 0*w**3 - w**3) to the form r*w**3 + m + o*w**2 + x*w and give r.\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2 - -5. Let s be (-4)\/6 + 2\/b. Let k(l) = s*l + l - 7*l. What is k(1)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 21.76409 to 1 dp.\nAnswer: 21.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-6)\/z*z*z**2*z\/(z**7\/z)*z\/(z**(2\/21)\/z))**(-5\/2) assuming z is positive.\nAnswer: z**(745\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1487870 to the nearest integer?\nAnswer: 114","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide 686190 by -1.\nAnswer: -686190","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find v such that 2*v**3\/11 - 1413420*v**2\/11 - 2826906*v - 15548104 = 0.\nAnswer: -11, 706732","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:33 AM and 8:45 PM?\nAnswer: 612","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wn when two letters picked without replacement from {w: 5, x: 9, n: 2}?\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -x**3 + 7*x**2 + 2*x + 11. Let i be w(7). Suppose -4*b + i = b. What is the remainder when 14 is divided by b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -319*t**2 + 32*t**2 + 116*t**2 - 278*t**2.\nAnswer: -449*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is t in 3*t**4 + 67*t**3 + 525*t**2 + 1617*t + 1372 = 0?\nAnswer: -7, -4\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((sqrt(76) - (sqrt(76)*1 - sqrt(76))) + sqrt(76))*1 - -5*(sqrt(76)*-1 + sqrt(76)))*-4)\/((sqrt(64)\/sqrt(2)*-4)\/(sqrt(32)\/sqrt(4)*-6))*-6.\nAnswer: 72*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -d**2 - 1. Let x(a) = -2*a**3 - 3*a**2. Let o be x(-2). Let t(m) be the first derivative of 2*m**3\/3 - m**2 + 6*m - 10. Give o*j(f) + t(f).\nAnswer: -2*f**2 - 2*f + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 109\/13680 and 77\/2556?\nAnswer: 971280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = 5*h - 7. Let z(a) = -4 + a + 2*a + a - a. Let j = 38 + -42. Calculate j*d(f) + 7*z(f).\nAnswer: f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -j**2 + 25. Let p(b) = b. Let d(a) = 2*a + 59*a - 55*a. Let k(f) = -2*d(f) + 11*p(f). Give n(k(x)).\nAnswer: -x**2 + 25","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 609506.\nAnswer: 2, 41, 7433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k + 71 = 4*k. Suppose -2*p + k - 15 = 0. What is the highest common divisor of 14 and p?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 113 = -4*j + 773. What is the greatest common divisor of j and 66?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = l**3 - 4*l**2 + 3*l + 3. Suppose -3*t + 2 = -13. Let y(c) = -5*c - 1. Let x be y(-1). Suppose -x*q - 3 = -t*q. Determine m(q).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -24044 (base 7) to base 2.\nAnswer: -1100000111110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -450935 divided by 3.\nAnswer: -450935\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 2\/21 (b) -0.83 (c) 3 (d) 0.1 (e) -0.1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 513879, 2055489, 4624839, 8221929?\n\"Answer: 513870*k**2 + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.5 + 0.2. Let v = 11.68 + -12. Let g = v - n. What is g rounded to 1 decimal place?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -186*y - 46*y - 9042 = 268*y - 89*y for y.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2*q**3*z**2 - 18*q**3*z + 2*q**3 - 6*q**2 - q*z**2 wrt z?\nAnswer: 4*q**3*z - 18*q**3 - 2*q*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -10445 (base 6) to base 12\nAnswer: -a25","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -18 - -19. Let m(n) = 48*n**2 + 2*n. List the prime factors of m(d).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 15\/4 - 3\/4*u**2 + 3*u.\nAnswer: -3*(u - 5)*(u + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -59\/40 and -29\/8?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 875\/184 or 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence iii when three letters picked without replacement from {i: 3}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -137810368 divided by -7328?\nAnswer: 18806","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 26151177.\nAnswer: 3, 13, 670543","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 16056406716760 and -5?\nAnswer: 16056406716765","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 4862\/15 - ((-20)\/(-75))\/2. Suppose -g = 5*g - r. Is 6 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -4*j + 1. Let b be z(-1). Let -10 + 10 + o**3 - o**2 + o**4 - o**b = 0. Calculate o.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -93931, -93933, -93935?\n\"Answer: -2*y - 93929","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -695*w**3 - 815660*w + 815132*w - 1955*w**3 wrt w.\nAnswer: -15900*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -f**2 + 11*f - 20. Let h = 23 + -13. Let w be d(h). Is 6*2*(35\/w + 4) even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in one twentieth of a week?\nAnswer: 504","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((z**(-4)\/z)\/z**(-2\/17))\/(z\/z**(2\/15))**(-4))**(-49) assuming z is positive.\nAnswer: z**(17689\/255)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 32393?\nAnswer: 29, 1117","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -89, 31 in decreasing order.\nAnswer: 31, -1, -89","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert -241443 (base 10) to base 12.\nAnswer: -b7883","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 9 and 90.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hhgghhohhhghhhhhho. Give prob of picking 2 g and 1 o.\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 14\/935 - 30161\/78540. What is the common denominator of p and -91\/4?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -r**2 + 11*r - 2. Let m be b(10). What are the prime factors of (82\/123)\/((m\/(-5574))\/(-2))?\nAnswer: 929","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 22825882?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-10)\/14*(-49)\/(-42)*(-6)\/(-8).\nAnswer: -5\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 275944 is divided by 25.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-16)\/(-12))\/(6\/(36\/14)). What is the nearest to 19 in -1, y, 1\/2?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 36303*j**4 - j**3 - j + 256493 wrt j.\nAnswer: 435636*j**2 - 6*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -80 - 328 = -24*f. Solve -3*u = -n - 11, -3*n - 18*u = -19*u + f for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 152418.\nAnswer: 2, 3, 7, 19, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 15672324 and 32.\nAnswer: 125378592","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-5)\/((h\/(h*h\/((h*h*(h*h*h**(-2\/5))\/h)\/h)))\/h))\/((h*h**(1\/4))\/(h\/h**1)) assuming h is positive.\nAnswer: h**(-117\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*z - 10 = -5*t + 7*z, t - 239*z = -241*z + 5 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -31\/492 and -59\/28290.\nAnswer: 56580","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*b**3 - 140*b**2 + 1096*b - 960.\nAnswer: 4*(b - 24)*(b - 10)*(b - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -2\/11 (b) 14.4 (c) -4\/7 (d) 2\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -32b + -4?\nAnswer: -330","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -313 + 321. Suppose -c*k + 101 = 21. What is the highest common divisor of 250 and k?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = c**2 - 16*c + 114. Let o be l(12). What is the highest common divisor of o and 2046?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4\/(-2))\/((-6)\/(-12)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*i + 5*n - 15, i - 7 = 4*n - 16 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -387.73 - -413.6. Let n = 26 - y. Let r = n + -5.13. What is the third biggest value in 1, r, 11?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r - 1 = 3*w + 5, -3*r + 7 = -4*w. What is the units digit of r\/(-12) - (-1 + (-27)\/4)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = 252*x - 3. Let i = -13 - -14. Let m be c(i). What are the prime factors of (-10)\/65 + m\/13?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 434510 and 30.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -119 divided by 6626?\nAnswer: -119\/6626","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: Let o be 206\/(-6) + (8\/12)\/2. Let i = 38 + o. Calculate the remainder when 6 is divided by i.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = 34*i**2 + 137*i + 695. Is 5 a factor of a(-5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/3 - (3 - (-100)\/(-15))\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 115 and 483.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 151552 and 740?\nAnswer: 148","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4721411.\nAnswer: 4721411","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.865 + -3.865. Which is bigger: 12 or q?\nAnswer: 12","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -w**5 - 3*w**4 + 2*w**3 + 2*w**2 + 2*w. Let z(k) = -k**4 + k**3 + k**2 + k. Let p(n) = -3*y(n) + 6*z(n). Factor p(h).\nAnswer: 3*h**4*(h + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -54, -114, -176, -240?\nAnswer: -306","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 773593393?\nAnswer: 619, 1249747","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = h**3 + h**2 + 13*h - 12. Let l(m) = -m**3 + 34*m**2 - 32*m - 25. Let u be l(33). What are the prime factors of r(u)?\nAnswer: 2, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:57 AM and 5:47 PM?\nAnswer: 410","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1179418?\nAnswer: 2, 47, 12547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -g**2 + 23585*g - 235732. Determine v(10).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 29 by -25536.\nAnswer: -29\/25536","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i - 7*x + 12*x = 3716, -12 = -3*x. Let l be i\/77*3*(-6)\/(-4). Calculate the greatest common factor of l and 144.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -7.148 + 0.148. Let h = -0.055 + -24.945. Let d = h + 25.5. What is the biggest value in q, 1, 2\/3, d?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -18*i + 108. Let o be v(6). Let g be 324\/(-160) + 1 - -1. Is o > g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4\/59? (a) -61 (b) -9 (c) 2.028\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 45462*m*w**4 - 38*m*w**2 + 2*m*w - 4*m - 7*w**4 + 63*w**2 - 3*w wrt w?\nAnswer: 1091088*m*w - 168*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2248 + -2251. Let f(j) be the third derivative of -248149*j**6\/120 - j**5\/20 + 2*j**3\/3 - j**2. Let z be f(p). What is z rounded to the nearest 1000000?\nAnswer: 7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.17 and -1.56644.\nAnswer: -1.73644","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pp when two letters picked without replacement from {g: 1, i: 5, p: 5}.\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -r. Let u(w) be the second derivative of -11*w**3\/6 - 12*w. Give u(f(s)).\nAnswer: 11*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -17*d + 3. Let k(o) = 3*o + 20. Let q be k(-6). Let p(m) = 1 + 18*m + q - 2 - 5. Let y(g) = 3*h(g) + 2*p(g). Determine y(1).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 36 - 37. Let y(p) = -p**4 - p**2 + 1. Let r(z) = -15*z**4 + 14*z**2 - 1. Let h(f) = b*r(f) - y(f). What is the third derivative of h(l) wrt l?\nAnswer: 384*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 350 and 140.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -31575409.06 to the nearest 1000000.\nAnswer: -32000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (5 - 4) + 2 + 1.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Do -2992278 and -2992278 have different values?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 1569\/5 (b) 0.2 (c) -2\/5 (d) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 7, i: 4, p: 4, k: 3}. What is prob of picking 2 p?\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 391 - 535. Let r = k + 143.7. What is the closest to 4 in r, 25, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 20*v + 3*v**4 - v**4 + 4*v**4 - 22*v - 17*v**2 - 5*v**4 to the form x*v**3 + s*v**4 + g*v + t + z*v**2 and give t.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put 13, -1, 2, 0.1, -2\/11, -10 in decreasing order.\nAnswer: 13, 2, 0.1, -2\/11, -1, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30*n - 20 - 10 = 0. Sort -2, 2, -5, n in ascending order.\nAnswer: -5, -2, n, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -y**2 - 8*y + 31. Let r be q(3). What is the common denominator of -3\/28 and (-16)\/r - 42\/(-147)?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 - (4 - 8 - 0).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -14219, -28564, -42909?\nAnswer: -57254","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand -y + 4*y - 2*y + (3*y + 2*y - 3*y)*(-3 - 40 + 0)*(1 - 3 + 1).\nAnswer: 87*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -101 divided by -57841?\nAnswer: 101\/57841","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v + 4 = 7*v. Suppose 3*f - 6 = -6*t + t, 0 = -v*f - 6. Let q(b) = -b**3 - 5*b**2 + b + 7. Let o be q(-5). Solve -o*r + 5*r = t for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d + 116 = 6*d. Let a = d - 28. Which is smaller: a or -3\/14?\nAnswer: -3\/14","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -583741*b - 3*b**2 + 583741*b - 19*b**2.\nAnswer: -22*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(2\/23)*i)**34*i\/((i*i**(2\/11))\/i)*i*i*i\/i**(-3\/7) assuming i is positive.\nAnswer: i**(72971\/1771)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -g**2 - 8*g - 12. Let u be h(-5). Suppose -2*d - d = -u. Calculate the least common multiple of 1 and d.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00224 take away -31?\nAnswer: 30.99776","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 7 - 8 - (1 - -3)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5)\/3*(5 - 1 - 1)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -6330 + 6129. Which is the second biggest value? (a) 1\/6 (b) 0.1 (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b - v + 3 = 0, -4*b + 1 = -2*b + 3*v. List the prime factors of b\/(-6) - (-11429)\/33.\nAnswer: 2, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -13365516 - 2?\nAnswer: -13365521","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:04 AM and 7:17 AM?\nAnswer: 373","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor -52*f**3 + 60*f**2 + 304*f - 48.\nAnswer: -4*(f - 3)*(f + 2)*(13*f - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -4 + 4*(-1)\/(-2) + 18. Suppose 9*y - x*y + 35 = 0. Solve 0 = 5*w - y*v - 45, 2*v + 6 = -w - 0*v for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -34 times -6?\nAnswer: 204","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (3 + sqrt(1100) + sqrt(1100)*3 + -2 - (sqrt(1100) + 1 + 4 - (-1 + 1 + sqrt(1100))))**2.\nAnswer: -320*sqrt(11) + 17619","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.145 - -0.045. Which is greater: -1\/25 or q?\nAnswer: -1\/25","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10152 is divided by 72.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -120.85 + -0.15. Let d = g + 122. Is d bigger than 8?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -67, -44, -61, -136, -287?\nAnswer: -532","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nsuiiww. What is prob of picking 2 w?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1903 - 1982 + 23*a + 32*a to the form j + q*a and give j.\nAnswer: -79","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) be the second derivative of -c**4\/12 - c**3\/3 + 613*c**2\/2 - c - 20. Is m(0) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -39098, -156308, -351658, -625148?\n\"Answer: -39070*x**2 - 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 46*a + 79 - 401 for a.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1828040, 14624348, 49357220, 116994950, 228505832, 394858160, 627020228, 935960330?\nAnswer: 1332646760","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.661 in 15.5, -411, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -u + 58. Let l(a) = -3*a + 176. Calculate 11*d(w) - 4*l(w).\nAnswer: w - 66","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -2*p - 42. Let v(u) = 4*u + 84. Calculate 7*b(g) + 4*v(g).\nAnswer: 2*g + 42","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*d + 47*s - 20 = 51*s, 2*d = -5*s - 63 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-747)\/135 - -5) + (-2)\/(-10)?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 592 + -329. Suppose o = -3*h - 70. What is h rounded to the nearest 10?\nAnswer: -110","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4 + 31269*s + 31808*s - 63077*s - 4*s**2 + 5*s**2 + 4.\nAnswer: s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1485 or 1486?\nAnswer: 1485","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 223 minutes before 12:01 PM?\nAnswer: 8:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*t + 4 = 15. What is the smallest common multiple of 8 and t?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -97*v**5*x - 6*v**2*x**2 + 411*v + 3*x**2 wrt v?\nAnswer: -1940*v**3*x - 12*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + -5 + (2*(2*sqrt(72))**2 - (0 + sqrt(72))**2*3) + 3 + 1.\nAnswer: 363","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n + 10 = 5*s, -48*s = 4*n - 53*s + 10. Let c = -0.1 + -0.2. What is the closest to 0 in c, 3, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -26c (base 15) to base 9\nAnswer: -673","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 103395135?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-8)\/(-6))\/((-28)\/1974). Let f = h + 105. What is the smallest common multiple of (-3)\/2 - (-94)\/4 and f?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = i + 18. Let b be g(-14). Solve 7 = -b*t + 4*j + 31, -3*t - 5*j = 22 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1892348 and 3551.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(91)*3)\/((sqrt(7) - sqrt(63))*1) - ((sqrt(91)*4)\/sqrt(7) - (sqrt(13) - (1 + sqrt(325) - sqrt(325))**2)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.5 - 0.5. Let j = 0 - r. What is the second biggest value in j, -1, 4?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w - 11*y - 48 = -9*y, -3*w + 6*y + 75 = 0. Calculate the remainder when 112 is divided by w.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -19 + 9. Let w = 15 + g. Find the second derivative of -w*v**2 + v + 16*v**2 - 9*v wrt v.\nAnswer: 22","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 33 - 34. Let m = -1 + 2. What is the closest to m in y, 2, -0.5?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) be the second derivative of t**6\/30 - 7*t**5\/20 + 2*t**4\/3 + 8*t**3\/3 - 6*t - 5. Factor j(q).\nAnswer: q*(q - 4)**2*(q + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4\/10 + 2 - ((-375)\/(-25) + -13)?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -60753.58 rounded to the nearest 1000?\nAnswer: -61000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 176\/30 + (-2)\/(-15). Solve -2*q + j + 4 = 0 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2 + 5. Suppose -5*f - 4*c = 6, 0 = t*f - 0*f + 2*c + 2. Suppose 3*g - f = 2*g + w, 3*w - 14 = -g. Solve -4*s + 18 = 2*m, 0 = -g*m + 23 + 2 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (21\/12)\/(12\/144). Solve 5*s + m*q - 27 = 18*q, -4*s - 8 = -5*q for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 338841 - 338801.00135. Let r = 6.2 + -46.2. Let q = y + r. Round q to four decimal places.\nAnswer: -0.0014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -44452, 8, -1\/5 in descending order.\nAnswer: 8, -1\/5, -44452","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put -4\/5, -2\/1795, -3, 4, 221 in descending order.\nAnswer: 221, 4, -2\/1795, -4\/5, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -5*b*o**5 - 3*b*o**2 - 2*b*o + 24*b + 442047*o**5 + 177*o**2 wrt o.\nAnswer: -300*b*o**2 + 26522820*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -6*u**2 - 1096*u - 7789. Calculate f(-7).\nAnswer: -411","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 201610631 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) -0.5 (b) -2\/9 (c) 0.53\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p - 8 + 11 = 0. Let a(h) = 8 - 5*h + 0*h - 2*h**3 + p*h**3 + 4 + 4*h**2. Let i be a(-5). Solve c - 5 = 2*t, 5*c + 2*t = -t + i for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-2\/9))**(1\/32)*(u\/(u**(-1\/3)*u*u*u))\/u**(2\/5) assuming u is positive.\nAnswer: u**(-1493\/720)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*d - 3360 = 30*d - 20*d. Calculate the remainder when d is divided by 82.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3 - 2. Let k(s) = s**3 - s. Let l be k(-1). Which is the nearest to l? (a) y (b) -1 (c) -4\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 13 - 10. Let p be ((-12)\/(-6))\/((-2)\/v). Let o = p + 8. Solve -17 = -o*a + 8 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 10*t - 6*t + 5*z - 75, 0 = 5*t + 4*z - 96. Suppose 5*u - 5 = t. Suppose -u*j + 2*j = 15. Let y(k) = k**2 + 7*k + 6. Determine y(j).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -27 - -26.95. Let t = -2.05 - j. Let l = 0.45 + -0.05. Which is the nearest to l? (a) 0.2 (b) t (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 52779250 is divided by 53?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -836099*g - 836064*g - 836069*g + 2508287*g.\nAnswer: 55*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -2*r**2 + 48*r + 2. Let g be c(24). Let u = -18\/149 - -1701\/2980. Let p = 1\/20 - u. What is the biggest value in 5, g, p?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = 3*n - 10. Let b be v(3). Let k be b*(1 - 6) - (16 - 15). Suppose -k*a + 736 = -1036. Is a composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*b = 11*b + d - 584, 0 = 2*d. What are the prime factors of (-6 + 4)\/((-1)\/b)?\nAnswer: 2, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine n, given that n**4\/4 + n**3\/4 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 8.4 - 1.4. Let f = k + -2. Let m = 1\/5 - 7\/10. What is the second biggest value in f, m, -3?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = 670*q - 668. What is h(1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c = 4*y - 3*c - 5811, -4387 = -3*y - 2*c. Suppose -5*p + 4*i = -y, -3*p + 2*i + i + 873 = 0. List the prime factors of p.\nAnswer: 5, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: d420 (base 14) to base 3\nAnswer: 1212001021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6\/(-8) + (-278852)\/(-368)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 32145 and 735?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -798 = -35*a + 32*a. Suppose -4*o - 74 = -a. List the prime factors of o.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -50 - -83. What is the tens digit of (-22)\/a*78\/(-4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.058912 from 297.\nAnswer: 297.058912","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -2*a**2 + 29*a + 155. Let q be v(25). Let z = q + 375. Let t = -6 - -13. Solve -3 = -z*l + t for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 19 - 17. Put 0, i, 5 in descending order.\nAnswer: 5, i, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5813 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 91\/194685 and -143\/68217624.\nAnswer: 341088120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:58 AM and 4:07 PM?\nAnswer: 669","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-20)\/(-120))\/(5\/(-10)).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((x**(-2\/61)*x\/x**(-8\/5))**(-45))**(1\/7))**38 assuming x is positive.\nAnswer: x**(-267786\/427)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 773283 is divided by 257754.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -4, 9, 22, 35?\n\"Answer: 13*z - 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 67029885 a multiple of 117?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -5158.0679 - -7.3679. Round j to the nearest 10.\nAnswer: -5150","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -s**2 + 8*s - 8. Let p(f) = -f + 1. Suppose 0 = d - 2*n + 7, -29 + 21 = -4*n. What is d*w(q) - 24*p(q)?\nAnswer: 3*q**2","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 295316115 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*r**3\/9 - 58*r**2\/3 + 508*r\/9 - 112\/3 = 0. Calculate r.\nAnswer: 1, 2, 84","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 145887 (base 10) to base 5.\nAnswer: 14132022","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.449 + -21.349. Let o = 20.5 + p. Which is the second biggest value? (a) -18 (b) -4 (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0 - 1 - h - h**2 - 1 + (5*h - h - 3*h)*(9*h - 2*h + 6*h + (2 - 6 + 3)*(-113*h - 122*h + 95*h) + 0*h + h + 2*h) to x*h + m + j*h**2 and give m.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 166172 (base 14) to base 10.\nAnswer: 785080","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (10\/30)\/((2\/((-138)\/(-3)))\/3).\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sum -3.98 and 0.\nAnswer: -3.98","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 14174, 14269, 14386, 14537, 14734?\nAnswer: 14989","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 467517319 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2234, -2124, -2014, -1904?\nAnswer: -1794","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -22*a**3 + a**2 + 2*a + 2. Calculate u(-1).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1555.1 - 1555. What is the closest to -4\/17 in -4, -0.3, i, 0.4?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 115 minutes after 7:36 PM?\nAnswer: 9:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 519*c + 4391 = 758 for c.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 3 + -140?\nAnswer: -134","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*a = -a. Suppose a*y - 3*y = 4*i - 911, -3*y = -5*i - 920. What is the tens digit of y?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 753947 - -42.097294\nAnswer: 753989.097294","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = v**2 + v - 2. Let d be r(-3). Suppose -u - 1 = d*n, -u + 3*n + 34 = 3*u. What are the prime factors of u?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 16\/6*45\/30. Solve -7*v = -2*v - y*n - 13, -4*v = 5*n - 35 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kk when two letters picked without replacement from {r: 15, k: 3}.\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 58721 + 19?\nAnswer: 5873a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: Let p = -243 - -245. Let g = 0.22 + 0.08. Suppose -4*m + 18 = -2*i, 7 = 2*m + i - 0. What is the closest to -1\/3 in p, m, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seventy-seven fifths of a millimeter in micrometers?\nAnswer: 15400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -222 * -0.007\nAnswer: 1.554","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in y + y - 3*y - 8*y.\nAnswer: -9*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9614 is divided by 4746.\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = q**2 + q + 9. Let a be s(-8). Suppose -6*x = -x - a. Calculate the greatest common factor of 117 and x.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1\/(-3) + (-38)\/(-6). Suppose -q*v + 273 = -33. Is v composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 326205*v - 751058?\nAnswer: 326205","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -5*j**2. Suppose -25 = -10*s + 5*s. Let q(p) = -2*p - s*p - 6*p + 9*p. Determine g(q(i)).\nAnswer: -80*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ffozofrfroooffrzf. What is prob of sequence rff?\nAnswer: 21\/680","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 67*n**2 - 27616*n + 992346?\nAnswer: 134*n - 27616","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1018380523 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*o = -3*v + 1 - 4, -4*v = 3*o - 3 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -7*w**2 - 10*w - 6. Let j(o) = o**2 + 2*o + 1. Let y(r) = -6*j(r) - k(r). Let i(n) = 4*n**2 - 7*n + 1. What is -2*i(t) + 7*y(t)?\nAnswer: -t**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 468 and 423.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1\/4)\/(5603\/20688).\nAnswer: 12\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) be the first derivative of d**6\/72 - d**5\/40 + 4*d**3\/3 - 4. Let p(v) be the third derivative of j(v). What is the second derivative of p(k) wrt k?\nAnswer: 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -11 + -2413043?\nAnswer: -2413054","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve y = 2*h - 7, 0*h - 2 = -h + 2*y for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g - 3*m + 307 = 94, 2*m + 142 = 2*g. What is the remainder when g is divided by 15?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5573?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 74 divided by -398.\nAnswer: -37\/199","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) be the first derivative of -o**6\/60 - o**5\/15 + o**4\/4 - 5*o**2\/2 + 1. Let s(f) be the second derivative of i(f). Find a, given that s(a) = 0.\nAnswer: -3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4\/(-8)*15\/10.\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -22740 greater than or equal to -22701?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r - 45 = -4*o, 5*o = -r + 5 - 20. Let t be (-55 - -3)*r\/(-10). Does -77 = t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1106375 a multiple of 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.010821067 rounded to 4 dps?\nAnswer: -0.0108","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 12 - (3 + 1 + 4 - 4 - -2)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/3? (a) 1\/2 (b) -82 (c) 2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round 102.136427 to two dps.\nAnswer: 102.14","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -24869399 - -13942399. What is d rounded to the nearest 1000000?\nAnswer: -11000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide (4\/(-7))\/((-54)\/567)*92?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 71317 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 124773 and 1881.\nAnswer: 627","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -y + 4. Let q be t(2). Suppose -2*n = n + q*a - 4, 5*a + 12 = -2*n. Calculate the highest common divisor of n and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*k = -9*k + 246. What is the units digit of k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = 4*x**2 - 2*x - 2. Let y be 4\/(36\/63)*-1. Let i be 4\/(-6)*21\/y. Calculate u(i).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*s**3 + 3*s**5 - 4*s**5 + 3*s**5)*(-12 - 10 - 27)*(-3 + 0 + 2).\nAnswer: 98*s**5 + 147*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -52.7 * -394\nAnswer: 20763.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1.8 * 190.\nAnswer: 342","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -5\/3 (b) 73 (c) 0.06\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wwwwwww. Give prob of picking 4 w.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 682451, 1365590, 2048729?\n\"Answer: 683139*g - 688","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -2*o**3 - 2. Let r be x(-3). Let a be 1\/(-4) - 195\/r. Let u(l) = l**3 + 5*l**2 - 5*l - 5. What are the prime factors of u(a)?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -85347 - 17843 - 46565 - 10*j.\nAnswer: -10*j - 149755","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 e and 1 t when three letters picked without replacement from {d: 2, z: 1, e: 3, t: 4}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 6\/(-9) - (-14)\/3. Let g(j) = -2 + 2 + j. What are the prime factors of g(o)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2804 to the nearest integer?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -210, -212, -214, -216, -218, -220?\nAnswer: -222","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*k - 9*k + 4 = 0. Suppose -u + k*m = -59, -4*u + 291 = 4*m + 79. What are the prime factors of u?\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000000104216767 rounded to seven dps?\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2 + -5. Let o = -258.58 + 258.6. Which is the fourth smallest value? (a) o (b) -1 (c) -0.4 (d) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (1\/1)\/((-3)\/24). Let s be (h + -2)\/(2\/(-2)). Let j(y) = -y**2 + 12*y + 7. What is the remainder when 132 is divided by j(s)?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(-4*1*sqrt(192)*6)**2*-4.\nAnswer: -884736","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 23 - -842. Is c a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -d**3 - 741681960*d - 323144927?\nAnswer: -3*d**2 - 741681960","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 118, 68, -2, -104, -250, -452?\n\"Answer: -2*k**3 + 2*k**2 - 42*k + 160","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 + (-21 - 1) + 229 + -247?\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = 2*a. Let f be v(8). Suppose -4*m - 3*o = -2*m + 4, -2*m + 3*o - f = 0. What is the third smallest value in m, -3, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 292 minutes after 10:09 AM?\nAnswer: 3:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(sqrt(396)*-2*4 + (sqrt(396) + sqrt(396) + sqrt(396)*2)*-5 + (1 + (sqrt(396) - (sqrt(396) + 2)) - sqrt(396)) + -4 + -2)**2.\nAnswer: 12180*sqrt(11) + 1665425","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 0.8 (b) 2 (c) 9298\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r + 29 = 4*d, 2*d = -d + 5*r + 39. What is the remainder when 53 is divided by d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -4 - -7. Solve 4*v - 5*a = -13, 4*v + 12 = 3*v + l*a for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -1\/64 and 1862\/(-504) - 6\/(-8).\nAnswer: 576","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(6292) + (sqrt(6292) + 4 + sqrt(6292) + 1)**2 + sqrt(6292) + 1 + ((-3*2*sqrt(6292) - sqrt(6292)) + -1)**2 + 1.\nAnswer: 792*sqrt(13) + 333504","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -409259000 rounded to the nearest 1000000?\nAnswer: -409000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vlv when three letters picked without replacement from {l: 4, v: 8, t: 2, a: 2}?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5 times 0.072505?\nAnswer: 0.0362525","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 118 (base 10) to base 9.\nAnswer: 141","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -40*x**2 - 3*x**2 + x**3 + 29*x**2 + 14*x**2.\nAnswer: x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = g + 5*n - 131, -g + 2*n = -n - 123. Calculate the remainder when g is divided by 26.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*l - 24*l + 50 = 0. Let h(x) = -9*x - 1. Let u(o) = o - 1. Let k(m) = -h(m) - 6*u(m). Let d be k(6). Calculate the highest common divisor of l and d.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zz when two letters picked without replacement from dzdsdczddddczzd.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24762*r = 13454 - 121015 - 16249 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 473 minutes after 9:07 PM?\nAnswer: 5:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 366 minutes before 9:03 PM?\nAnswer: 2:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -282*c. Let h(t) = 3*t. What is v(h(y))?\nAnswer: -846*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 10\/15*(-4 - -1). Let u be i\/6 - 3\/(-9). Is u at least as big as 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = 6*v. Let h(y) = -4*y. Let x(g) = 8*h(g) + 5*t(g). Let p(s) be the first derivative of -12*s**3 - 14. What is x(p(k))?\nAnswer: 72*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (-266 - -262) + (1 - -13)\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-9)\/3*1*(-9)\/((-2700)\/(-5)).\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o = -3*o + 24. Let x be 9\/(-6)*52\/o. Let w = 1 - x. What are the prime factors of w?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hxukh. Give prob of picking 2 h and 1 x.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 1, d: 12}. Give prob of sequence dd.\nAnswer: 11\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 7.198 + -6.998. Put 17, 37, t in descending order.\nAnswer: 37, 17, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 219\/(-4)*31\/93*(-248)\/(4898\/(-79)).\nAnswer: -73","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4825356746.\nAnswer: 2, 7, 344668339","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (1 + 0)\/(-6 - -7). Let h be (-2)\/(-4)*-6*57\/(-9). Suppose 5*f - h - 6 = 5*g, -3 = g. Which is smaller: n or f?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -10588, 3, 4, 13.2, 0, 0.2 in decreasing order.\nAnswer: 13.2, 4, 3, 0.2, 0, -10588","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g\/(g**(-1\/3)\/g))**(2\/11)*g**(-2\/19)\/(g**(2\/3)\/g)*((g\/g**(-1\/3))\/g)\/g*g\/(g\/(g*g\/(g**(1\/11)\/g)*g))*(g\/(g*g\/g**3*g*g))\/g**(-7) assuming g is positive.\nAnswer: g**(207\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.21, 10\/1029, 0.2, 0.15 in ascending order.\nAnswer: -0.21, 10\/1029, 0.15, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vvzvvvvnvvvvzvnzv. What is prob of sequence vnvn?\nAnswer: 11\/2380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -475, -273, 641, 2261, 4581, 7595, 11297?\n\"Answer: -h**3 + 362*h**2 - 877*h + 41","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 37*n**4 + 3*n**2 - 22338 wrt n.\nAnswer: 148*n**3 + 6*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 44 - 24. Suppose 33*f = 37*f - d. Suppose 7 = 2*w - 3*w + 2*j, -4*w = f*j - 24. Solve -9 = 4*y - w for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1667*q**3 - 818*q**3 - 95*q + 97*q.\nAnswer: 849*q**3 + 2*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -18 - -111. Let y = 95 - z. Which is the closest to -2\/3? (a) -0.1 (b) 3\/8 (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 810, 5711, 18808, 44199, 85982, 148255, 235116, 350663?\nAnswer: 498994","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 divided by -1063.\nAnswer: -5\/1063","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -901457 times 4.73?\nAnswer: -4263891.61","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -0.2, -12.5, -12\/13?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -325035 + 0.6807\nAnswer: -325034.3193","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-196)\/(-637))\/((-196)\/(-26117)).\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 47 divide 324497?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 a factor of 69023?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -259*d + 641*d = 303*d - 2212 for d.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*b - 3 + 3 - 45238*b**2 + 45233*b**2 + 0*b.\nAnswer: -5*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = 20*h - 3. Let l(a) = -119*a + 17. Suppose -54 = -67*o + 85*o. Determine o*l(f) - 17*j(f).\nAnswer: 17*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (-61 - -97) + -4 - (4 - -78)\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i + 5 = 8*i. Let x(o) = -2*o**3 - o**3 - 2*o**3 - i. Give x(-1).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -41860743 take away -0.092?\nAnswer: -41860742.908","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3 - -9) + (-62)\/11 - (-39)\/352*-3?\nAnswer: 1\/32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1613 (b) -15 (c) -4193\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -6627*-3\nAnswer: 19881","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 27.59132 - -1.39718. Let h = x + -29. What is h rounded to 3 decimal places?\nAnswer: -0.012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -t**2 + 12*t - 1. Let y be g(11). Let k be y\/(-7) + 3\/7. Let v(n) = -5*n**3 + 2*n**2 - 1. Let b be v(k). Solve 3*s + s = 2*f - b, -2*s = 2 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = 20*j + 29. Let z be b(14). Let a = z - 144. Find the third derivative of -7*i**3 - 195*i**2 + a*i**2 - 7*i**3 wrt i.\nAnswer: -84","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 17886?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 9\/6 + (-1)\/(-2). Suppose 3*o + 11 = 3*j + w*o, 13 = 5*j - 3*o. Let m be 336\/10 - 3\/j. What is the highest common factor of m and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 77400 is divided by 12?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -42*m + 47*m = -20 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*u + 3*u - 3*u)*(8*u - 9*u + 4*u).\nAnswer: 15*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 1641819 divided by -547273\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s = 3*s + 10. Let x = 14 - 21. Let k = x - -25. Calculate the remainder when k is divided by s.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*x = -2*l - 12, -66*x - 94224*l = -94222*l - 328 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6\/(-210)*-7)\/(-12 + 464\/40).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = i - 2. Let s be u(-2). Let f(m) = -48*m - 1102 + 1102. Let v(q) = 3*q. What is s*f(h) - 66*v(h)?\nAnswer: -6*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 23721931 is divided by 2856?\nAnswer: 2851","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) be the first derivative of -7*l**3 - 21*l + 5. What is the derivative of h(w) wrt w?\nAnswer: -42*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + (sqrt(1700) - (sqrt(1700) + 1)*-1) + 2)**2.\nAnswer: 280*sqrt(17) + 6849","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -896877*n**3 + 9*n**2 - 9*n + 20. Let c be y(4). Round c to the nearest one million.\nAnswer: -57000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 816.459ug in tonnes?\nAnswer: 0.000000000816459","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -19, -22, -25?\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*a - 17 = -8*a - 5*t, -5*t + 5 = 0. What is the lowest common multiple of a and 316?\nAnswer: 948","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 561.2229 millilitres?\nAnswer: 0.5612229","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 0 (base 2) to base 4\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 2, n: 1, r: 1, l: 5, y: 8}. What is prob of picking 4 l?\nAnswer: 1\/476","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: ((-10)\/(-40))\/(123\/(-123))\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -113*n + 7568 = 114*n - 216*n. What is the remainder when n is divided by 89?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -1\/7, 175.1 in descending order.\nAnswer: 175.1, 5, -1\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = 6*f**3 - 5*f**2 + 30*f - 33. What is the remainder when h(2) is divided by 51?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*b + 7*b + 50 = 0. Let z be (6\/15)\/(1\/b). Solve 0 = z*y + 2*g - 10, -y = -4*g + g - 13 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 + 23 = 3*p. Does 12 divide (-2)\/p*-6*(70 + 0)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -41*t**3 - 15415*t**2 + 374*t - 680. Give x(-376).\nAnswer: 72","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 513625837.\nAnswer: 13217, 38861","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1345 - -1917. Is 26 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -7709*r*v**3 + r*v + 15*r + 40*v**2 wrt v?\nAnswer: -46254*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 263, 992, 2207, 3902, 6071, 8708?\nAnswer: 11807","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-8 - -15 - (-21 - -36)) + -13?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*z + 46 + 24. Suppose -u = -2*u + z. List the prime factors of u.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q\/(q\/((q*q**(-5\/3))\/q)))\/(q\/(q\/q**(-3\/7))*q))\/((q*q\/(q*q**9*q*q))\/q*q*q**32) assuming q is positive.\nAnswer: q**(-509\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) be the third derivative of d**5\/30 + 131*d**4\/6 + 17161*d**3\/3 - 441*d**2. Determine s, given that u(s) = 0.\nAnswer: -131","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = d**3 - 2*d**2 - 5*d + 10. Suppose 13 = 3*s + 2*f - 9, f - 5 = 0. Is 22 a factor of z(s)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 275254 + -196154. Round w to the nearest 1000.\nAnswer: 79000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(12)*-3*5 - (-5 + sqrt(18)\/(sqrt(6)*2)).\nAnswer: -61*sqrt(3)\/2 + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand -10*t + 2*t - 5*t + 5*t - t - 2*t - 5*t + 2*t + 2*t + (1 + 0 - 3)*(-t + t + 2*t).\nAnswer: -16*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 307 + -304. Suppose q*r - 130 = 17. What is the highest common divisor of 56 and r?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.40607 rounded to one decimal place?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 776.0785t in kilograms?\nAnswer: 776078.5","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/(-2)*(-5 - -5)\/3?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6555?\nAnswer: 3, 5, 19, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert c2 (base 16) to base 5.\nAnswer: 1234","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*d + 19985 - 19910 = 9*v, 0 = -v + 4*d + 17 for v.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1518449 is divided by 75?\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19*q + 11 - 207 = 52*q + 2 for q.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1485, 2387, 3851, 5871, 8441, 11555, 15207?\nAnswer: 19391","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -2*g**2 + 33*g + 28. Let z be (135\/(108\/(-12)))\/((-6)\/4). Let k be l(z). Calculate the highest common divisor of k and 869.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1.17 - 4.09. Let t = 0.08 - i. Let q = -640 - -641. What is the closest to 0 in 3\/5, t, q?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 692 minutes after 6:34 AM?\nAnswer: 6:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 1375901 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -266161, -532330, -798499, -1064668, -1330837, -1597006?\nAnswer: -1863175","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 12 by -7208.\nAnswer: -3\/1802","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is three tenths of a kilometer in centimeters?\nAnswer: 30000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -3932*l - 112669. What is o(-29)?\nAnswer: 1359","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -m**3 + 4*m + 3. Let d(q) = 1 - 15 - 11 - 9*q - q**2 + 3. Let u be d(-5). Calculate k(u).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 132 minutes after 12:46 AM?\nAnswer: 2:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14162539 is divided by 71890.\nAnswer: 209","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t**(1\/3)\/(t*t\/(t*t*t*t\/(t*t**(-1))*t)*t)*t**(-1\/8)*t*t\/t**(-3)*((t\/(t\/t**3))\/t*t*t\/t**2*t)**(15\/2) assuming t is positive.\nAnswer: t**(713\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1 - 0. Let r(v) = v**3 - 10*v**2 - 10*v - 11. Let d be r(11). Suppose g = -d*g + 8. What is the least common multiple of h and g?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 125263 (base 8) to base 9.\nAnswer: 65844","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -144666 = 13*y - 40*y. What is the tens digit of y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -4 - ((-12)\/(-42) + (-6434)\/1498). Is -2\/5 bigger than c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -5\/7 (b) 2\/225 (c) -3\/82 (d) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7275 + 20*q**3 + 29114 - 7280 - 7283 - 7284.\nAnswer: 20*q**3 - 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 609084 to the nearest integer?\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -104, -107, -112, -119, -128, -139?\nAnswer: -152","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -d**3 - 9*d**2 + 8*d - 18. Suppose -7*y - 18 = 52. Let o be p(y). Suppose 0 = 4*r - 7*r. Sort r, 1, o in descending order.\nAnswer: o, 1, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 180 and 2543742.\nAnswer: 25437420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 2, a: 1, q: 1, c: 3, e: 3}. Give prob of sequence acme.\nAnswer: 1\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -228 + 395 + 414 + 6*i + 46*i**3 wrt i.\nAnswer: 138*i**2 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j*j*j**(-8)*j*j*j**3)\/((j*j*j*j**0)\/j)**(5\/13))\/((j*j*j\/j**7*j*j\/(j**(-8)*j))\/(j\/j**2*j\/(j*j**(-4\/3)\/j))) assuming j is positive.\nAnswer: j**(-212\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*k**4 + 6*k**2 - 6*k**2 + (6*k**2 - 7*k - 11*k**2 + 6*k**2)*(-8*k + 8*k + k**2).\nAnswer: -2*k**4 - 7*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 5 - 811964?\nAnswer: -811959","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 5164 (base 7) in base 10?\nAnswer: 1810","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 11\/10 of a millennium?\nAnswer: 11","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2456731747.\nAnswer: 613, 941, 4259","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 27 - 33. Let v be ((-52)\/(-6))\/(4\/n). Is 0 <= v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 513 times 3659\nAnswer: 1877067","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -6*h**3 - 9*h**2 + 7*h - 14. Is 74 a factor of x(-7)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:06 PM and 7:54 PM?\nAnswer: 48","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 - 14) + 113\/((-32770)\/(-3800))?\nAnswer: 3\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 355, 383, 463, 595?\n\"Answer: 26*p**2 - 50*p + 379","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l + a = 6*l - 1326, 5*l + 3*a - 1342 = 0. Suppose 7*j - g - l = 2*j, 2*g + 55 = j. Does 15 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uqu when three letters picked without replacement from fwuyqfyqqywwuqfq.\nAnswer: 1\/336","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Work out 16.926 * 583.4.\nAnswer: 9874.6284","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 c when three letters picked without replacement from {c: 13, a: 5}?\nAnswer: 143\/408","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -4*q**2 - 2. Let v(x) = x**2 - x - 1. Suppose -23*l + 28*l - 15 = 0, 4*s - 5*l = -7. Calculate s*v(o) + d(o).\nAnswer: -2*o**2 - 2*o - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 15 - 10. Let l(b) = b + 5. Let d be l(0). Suppose -f + 3 = x*w - 4, -d*f - 4*w = -98. What is the units digit of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 13 by -709862.\nAnswer: -13\/709862","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*u**5 - 278652*u**4 - 2*u**2 - 3626*u + 6782.\nAnswer: 40*u**3 - 3343824*u**2 - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = 49*i - 323. Let k be l(32). Calculate the highest common factor of 30 and k.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-18)\/(-24))\/((-2)\/(-88)). Let o be 2\/3*m\/(-55). What is the second smallest value in -3, o, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0 + 1. Let r = y + -1. Let x(o) = -2*o**2 + 2*o + 1. Let k(c) = c**2 - c - 1. Let f(v) = -9*k(v) - 4*x(v). Determine f(r).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2650542 to the power of 1\/5, to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 34610 rounded to the nearest 10000?\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = u**2 - 73*u. Let a(x) = -9*x + 105. Determine a(g(z)).\nAnswer: -9*z**2 + 657*z + 105","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 8069 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v and 1 a when two letters picked without replacement from {f: 1, v: 4, a: 1, o: 3, t: 6}.\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 103 + (20 - 11) + (5 + -1 + 0 - 7)?\nAnswer: 109","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 253 - 227 - (-43 + -1).\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-50 + 214 + 263)*(-2*p + 3*p + p).\nAnswer: 854*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 57883?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is u in 5*u**4 + 12324*u**3 - 188331*u**2 + 369442*u - 193440 = 0?\nAnswer: -2480, 1, 6\/5, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = 4052*j - 154140. Determine u(38).\nAnswer: -164","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2148)\/(-1611))\/(1\/2*1\/(-1))?\nAnswer: -8\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2134*t**3 + 2172*t**3 - 686*t**3 - 574*t**3.\nAnswer: 3046*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) be the second derivative of 0 - 1\/15*q**6 + 0*q**4 + 3*q + 0*q**5 - 1\/6*q**3 + 0*q**2. What is the second derivative of m(b) wrt b?\nAnswer: -24*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -41\/28188 and 59\/8148.\nAnswer: 19139652","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -54*r*t**4 - 76*r*t**2 + r*t + 39*t**5 - t**3 - t**2 + 4*t + 6 wrt t?\nAnswer: -1296*r*t + 2340*t**2 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -0.057 times -9.91801\nAnswer: 0.56532657","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0238518587 to five decimal places.\nAnswer: -0.02385","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t = -0*d + 4*d - 1083, -4*d - 4*t + 1068 = 0. What are the prime factors of d?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3.199364 - 4.7999. Let f = i - -8. What is f rounded to 4 dps?\nAnswer: 0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 1\/((-10)\/(-6) - 2). Let k = 1.2 + 0. Let n = 1.1 - k. What is the second smallest value in j, 0, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 716098\/5 or 143221?\nAnswer: 143221","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 17 + 54cc53?\nAnswer: 54cc6a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yi when two letters picked without replacement from yipwiipkwwyw?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert -19 (base 12) to base 4.\nAnswer: -111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-4)\/(-12))\/((-2)\/6))\/(-3).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -5*v + 14. Suppose -4 = -2*i + v. Suppose i*u = -0*u + 21. What is the units digit of u?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g - 10*g = -f - 567, -3*g + 1155 = -2*f. Let k = 587 + f. Solve -m + 3*r - 1 = -k*m, 4*m - 5*r - 41 = 0 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) be the first derivative of -m**3 - 9*m - 4. Differentiate d(l) wrt l.\nAnswer: -6*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -3 - 4. Let h(d) = -d + 4. Let n(q) = q - 4. Let u(g) = p*n(g) - 6*h(g). What is u(0)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -13342 divided by 14\nAnswer: -953","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -7*f - 11. Let x(n) = n**2 + 5*n + 2. Let s be x(-4). Calculate the smallest common multiple of w(s) and 27.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 550 and 2150?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -532*b + 7. Let c = -56 - -59. Let u be h(c). Let w = 2510 + u. Is w a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vffvvufffvuvuvh. Give prob of sequence hu.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -118 - -123. What are the prime factors of (w\/(-10) - (-2)\/(-4))*-82?\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -1 + (1 - 3\/3). Let w be (-11)\/((-110)\/8)*2\/(-4). Which is the closest to s? (a) w (b) 3\/2 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*v + 9*v + 9044000. What is v rounded to the nearest 10000?\nAnswer: -650000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = y**2 - 1. Let o = 2 + 0. Let v be f(o). Suppose v*i = i. Solve i*a = -a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c - 2601 = -3*i, 5*c - 8287 - 4653 = -2*i. Is c a multiple of 40?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*b = -32*b - 112 for b.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 4 and 1228.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = 8*j**3 + 2*j**2 + 22*j + 44. Let h = 54 - 56. Let i be z(h). Is i less than -53?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 120 = 3*k + 2*k. Suppose 1363*b = 1367*b - 64. Calculate the greatest common divisor of k and b.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) be the second derivative of 33*h**5\/20 - 15*h**2\/2 + 2*h + 30. Differentiate c(u) with respect to u.\nAnswer: 99*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (0\/(-2))\/(2 + 0). Suppose 5*t + r*c + 5*c - 75 = 0, -22 = -2*t + 2*c. What is the tens digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 551047.7 kilograms?\nAnswer: 551047700000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/(((-52)\/(-195))\/((-4)\/10))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zy when two letters picked without replacement from {y: 1, z: 1, b: 2, f: 2}?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -13*1*((-6)\/((-42)\/(-7)))\/1.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) be the third derivative of t**5\/20 + 8*t**3\/3 + 10*t**2. Let i(k) be the first derivative of f(k). Let w(b) = 143*b - 70*b - 72*b. What is i(w(l))?\nAnswer: 6*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 244 minutes before 3:31 AM?\nAnswer: 11:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 238 and 1.\nAnswer: 238","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11 (base 7) to base 16.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 452638 by 1994.\nAnswer: 227","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 32156619*p**3 + 22369955*p wrt p.\nAnswer: 192939714*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = 11*h - 2. Let f be (1 + 5)*(-1)\/(-2). Calculate the remainder when 4*((-1210)\/(-8))\/5 is divided by s(f).\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14925477.\nAnswer: 3, 7, 31, 101, 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 57 = 5*a + 52 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*g - 14*g + 20 = 0. Sort -4, 4, g, -5 in increasing order.\nAnswer: -5, -4, 4, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -11786 - -11791. Factor 0 - 2\/9*x**4 + 2\/9*x**i + 10\/9*x**2 - 2\/3*x**3 - 4\/9*x.\nAnswer: 2*x*(x - 1)**3*(x + 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 17, 0.3, -65\/4, -3, 1\/4 in decreasing order.\nAnswer: 17, 0.3, 1\/4, -3, -65\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -39*u + 133*u - 70*u - 26*u.\nAnswer: -2*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) be the first derivative of -1\/14*b**4 - 1 - 2\/7*b - 3\/7*b**2 - 2\/7*b**3. Determine l so that r(l) = 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i = -3*i. Let x be (-28)\/26*(-13)\/2. Let j = 31 + -22. Solve i = -4*y - x - j for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.864 and 6.\nAnswer: 5.136","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: ((-12)\/351)\/((-24)\/(-36))*-3\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (14\/4)\/((-895)\/895)?\nAnswer: -7\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = 73*p - 8. Let u be a(-3). Let q = -97 - u. Does 10 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 1, 52989 in increasing order.\nAnswer: 1, 5, 52989","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3 - q + 230*q**2 + 215*q**2 - 421*q**2 to the form y*q + i + u*q**2 and give y.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide -365 by 9.\nAnswer: -365\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -m**2 + 452*m - 3556. What is d(8)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 42179484?\nAnswer: 2, 3, 3514957","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in u + 247*u**2 + 0*u - u.\nAnswer: 247*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -2*h**3 - 13*h**2 + 6*h - 3. Let r be k(-7). Solve 4*l - 20 = r*v, -7 = -5*l - 0*v - v for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 3300 and 53?\nAnswer: 174900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 + 2 + 0)*(-475*m + 281*m - 387*m)*(-13 + 4*m**2 + 13) - m + 2*m**3 + m to d + o*m**3 + l*m + a*m**2 and give o.\nAnswer: -4646","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v - 22 = 4*q, -21 = -3*v + 20*q - 18*q. Suppose -d + g = -4*d + 2738, v*d - 4554 = -4*g. Is d prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (330\/(-132))\/(6 + 10 + -26). Factor -d*c**3 - 19\/4*c - 2*c**2 - 3.\nAnswer: -(c + 1)*(c + 3)*(c + 4)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 939008.4 meters in kilometers?\nAnswer: 939.0084","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = r**3 - 11*r**2 + 2809*r - 49481. Calculate g(17).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -62585 (base 10) to base 13\nAnswer: -22643","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1\/3 (b) -210 (c) 0.3 (d) 2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(88)\/sqrt(4))\/sqrt(11) + sqrt(162)*4.\nAnswer: 37*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -21 + 25. Suppose s - 35 = 1. Let i = s + -20. What is the highest common divisor of i and b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 709 and 5306717.51?\nAnswer: 5306008.51","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3032*x**2 - 830*x**2 - 1239*x**2 - 959*x**2.\nAnswer: 4*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-4810)\/480 + (-150)\/(-15). Sort -5, q, 0.3.\nAnswer: -5, q, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -183*v - 18*v - 268*v.\nAnswer: -469*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/25 of a litre?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2 - -12002100200?\nAnswer: 12002100121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = 84*w**2 + 18*w + 30. Does 11 divide o(-2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -24002, -22958, -21914, -20870, -19826, -18782?\n\"Answer: 1044*b - 25046","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 87 = 5*s + 3*n, 4*s - 3*s = 2*n + 20. Let j = s + -26. Calculate the smallest common multiple of 9 - (-4)\/j*6 and 2.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) be the second derivative of 6*j**8\/7 - 11*j**4\/6 + 55*j. What is the third derivative of c(w) wrt w?\nAnswer: 5760*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -3203\/206 - -5\/103. What is the common denominator of p and 19 - 17 - (-72)\/(-38)?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 341 minutes after 8:59 PM?\nAnswer: 2:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*j**2\/2 - 133773*j + 91852620.\nAnswer: 3*(j - 88490)*(j - 692)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 10d8 (base 16) in base 8?\nAnswer: 10330","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express w**3 - 2*w**4 - 5*w**2 + 2*w**2 - w**3 - 4*w as o*w**3 + i + v*w + g*w**4 + l*w**2 and give v.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1812827278.\nAnswer: 2, 19, 47705981","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 + -2 + 3 - (8 + 2).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**(-17)\/r)\/r*r**(-19)\/r)\/((r\/(r*((r\/(r**(-16)\/r))\/r)\/r))\/(r*r\/(r*r**4))) assuming r is positive.\nAnswer: r**(-26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Total of -4.1282 and -0.80376.\nAnswer: -4.93196","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) be the third derivative of b**5\/80 - 13*b**2. Factor w(g).\nAnswer: 3*g**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 16 and 0.28.\nAnswer: 4.48","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 855*f**3 - 710*f**2.\nAnswer: 5130","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 16.8 + -13.8. Let w = -9 + 6. What is the second smallest value in t, w, -7?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 44*f**2 - 91*f**2 + 6*f + 104*f**2 + 107*f**2 in the form v*f + g*f**2 + o and give v.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -632, 2238, 7030, 13744, 22380?\n\"Answer: 961*m**2 - 13*m - 1580","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*a = -99880*p + 99877*p - 66, 16*a + 132 = -5*p for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = z**3 - 3*z**2 + 5*z + 3. Let v(b) = b**3 - 62*b**2 + 280*b + 287. Let g be v(57). Calculate j(g).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(363) - (1 + sqrt(363))) + sqrt(363) + -1)**2*-3*-2 - (sqrt(363) - (3 + -3 + sqrt(363)) - sqrt(363) - (-4 + sqrt(363) + 1))**2.\nAnswer: -132*sqrt(3) + 741","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2787.\nAnswer: 3, 929","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 23\/63 + -2\/63. Factor -y*x**3 + 1\/3*x + 1\/3 - 1\/3*x**2.\nAnswer: -(x - 1)*(x + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 112 and 406.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-36)\/(-30) - -10) + -12?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 6508\/31 + -210. Let d be ((-333)\/5994)\/((-1)\/(-18)). Is b at least as big as d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = 3*i + 4. Suppose -3*l = 4*g + 25, 2*l + 5*g + 23 = l. Sort 4, i, l in descending order.\nAnswer: 4, i, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 t when four letters picked without replacement from {h: 1, v: 3, t: 4}.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1220.3337*0.2.\nAnswer: -244.06674","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -5 and -0.0222975485709259?\nAnswer: 4.9777024514290741","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = w**3 - 6*w**2 - w + 2. Let o be m(6). Let k(d) = -2*d - 1. Let s(r) = -2*r - 1. Suppose 86 - 21 = 13*x. Determine o*s(u) + x*k(u).\nAnswer: -2*u - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 806 and 261144.\nAnswer: 806","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -101001101111100 + 110110001?\nAnswer: -101000111001011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6 + (5 - 1) - (87 - 94)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 304 and 64?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -j**4 - j**3. Let o(w) = -3*w + w + 5*w**3 + w + 0*w + 7*w**4. Let p(s) = 5*c(s) + o(s). Find the second derivative of p(f) wrt f.\nAnswer: 24*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 39 divide 649635?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 75217842 a multiple of 686?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -0.13 or -955942?\nAnswer: -0.13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 17 + -2 - (-3)\/3. Calculate the greatest common divisor of n and 40.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/(-15)*148\/111*(-30)\/16?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 10\/3*y**5 + 0 + 108*y**2 + 18*y + 96*y**3 + 92\/3*y**4.\nAnswer: 2*y*(y + 3)**3*(5*y + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = 5*v - 200. Suppose -3*i = 4*i - v. Calculate the greatest common divisor of i and 54.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*w + 242 = -107*w. Sort w, 21, -5, 4\/7 in descending order.\nAnswer: 21, 4\/7, w, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-6)\/(-12)*-12*32\/(-12). Let q = 5 + r. Solve -4*c = 2*u - c - 10, 0 = 5*u - 4*c + q for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -12*f + 10*f - 3 - 9 + 9 + 10*f. Let z(h) = -h + 1. Calculate -i(g) - 5*z(g).\nAnswer: -3*g - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*n + 0*n + n)*((5 - 3 - 4)*(n + 1 - 1) + 2*n - 2*n - 5*n).\nAnswer: 14*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 3*0.98\nAnswer: 2.94","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 4299386 and 8?\nAnswer: 17197544","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 133*t - 19376 = -12061 for t.\nAnswer: 55","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000909811276 to 5 dps.\nAnswer: -0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -4cdaa33 + 5?\nAnswer: -4cdaa2c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 282.5329 weeks to hours.\nAnswer: 47465.5272","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.5048 - -0.6548. What is the closest to -1 in 7, f, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -207 + 217. Is 10 at least as big as u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*h - x = -30, -12*x - 21*x + 12 = -5*h + 11*x - 45*x for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 3 + 5)*(4 - 1 - 2)*(v**5 - v**5 - v**5).\nAnswer: -3*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let -n**3\/2 - 11919510*n**2 - 142074694801077*n\/2 + 142074742479121 = 0. What is n?\nAnswer: -11919511, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1219 + -116. What is the tens digit of n?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 312985.2 minutes?\nAnswer: 18779112","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 198 - 1263*k - 198.\nAnswer: -1263*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/8 of a litre?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2075 = -5*j + 2*f, 0*j - 4*f + 2045 = 5*j. Is j composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 17\/4 of a kilogram?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -225.31 to zero dps.\nAnswer: -225","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2592\/30)\/(-4) - 51\/(-85)?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*o + 3*c + 1 = -o, -3 = 5*o + 2*c for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = s**3 + 7*s**2 + 7*s + 3. What is l(-6)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (12\/15)\/((-2)\/(-5)). Let p = 4 - t. Suppose -2*u + 0*s = -s - 13, -5*s - 1 = -p*u. What is the units digit of u?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -862574 rounded to the nearest one thousand?\nAnswer: -863000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 63228.7g to kilograms.\nAnswer: 63.2287","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3204\/(-2492) + (-5)\/7?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -g**3 + 3*g**2 + g. Let h be z(3). Solve h*s + 4*o + 19 = 0, 3*s + 2*s = 2*o - 23 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-4 + -24)\/((-3)\/(6\/4)). Let c(o) = o**2 - 13*o - 10. Let u be c(h). Calculate the common denominator of ((-6)\/32)\/(u + 790\/(-196)) and 21\/11.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o + 4*o = 861. Let a = o + 184. Is a composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 20 divided by 190811.\nAnswer: 20\/190811","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 753003 is divided by 22.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(sqrt(567) - (sqrt(567) + 0) - (sqrt(35)\/sqrt(5))**2*5) + (sqrt(56)\/sqrt(144))\/(-2*sqrt(2)*6 - sqrt(2)) + -5.\nAnswer: -sqrt(7)\/78 + 30","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor p**3\/7 + 898*p**2\/7 - 283565*p\/7 - 858750\/7.\nAnswer: (p - 250)*(p + 3)*(p + 1145)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Do -57098 and -57088 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.483557 seconds in nanoseconds?\nAnswer: 5483557000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -10315\/3 + 939028\/273. Let q = -21\/13 + k. Let d = -9.6 - -10. Which is the closest to -2\/5? (a) q (b) 1\/9 (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = 11*h**3 - 1630*h**2 + 313*h - 2522. Give i(148).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = -63*b + 62*b. Let x = b + 22. Is x a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3 + 2.6. Let x(k) = k**2 + 2*k + 3. Let h be x(-3). Let t be (h\/90)\/((-4)\/(-6)). Which is the third smallest value? (a) 0.2 (b) s (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = z**3 + 234*z**2 - 9122*z - 2295. Calculate g(-268).\nAnswer: 385","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -1. Let d(l) = 16*l - 2. Suppose -119*c + 120*c + 2*p = -15, c - 41 = 5*p. Calculate c*d(a) - 3*u(a).\nAnswer: 16*a + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve v = 3*z + 20, v - 30 = -4*z + 9*z for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1959\/1490 + 138\/745. Solve y*s**3 + 0 - 1\/2*s**2 + 1\/2*s**4 - s - 1\/2*s**5 = 0.\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -6*1\/(-8)*(-352)\/(-66). Let o = 4\/83 + 138\/581. Which is the closest to o? (a) 1 (b) f (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(6912))\/(sqrt(8)*5))\/(sqrt(392)*2 + sqrt(8) - -3*sqrt(96)\/sqrt(12)).\nAnswer: 2*sqrt(3)\/15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -248*k**2 + 32*k - 362*k**3 - 3*k**3 - 2 + 2 + 250*k**2 wrt k?\nAnswer: -2190","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -96532, 7, 3 in increasing order.\nAnswer: -96532, 3, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i\/i**(-8)*i)**(5\/7)*i**(-2\/5)\/i*i*i**(-3\/14)*i assuming i is positive.\nAnswer: i**(527\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -19 + 31. Suppose 5*z - m + 2 = 0. What is the second biggest value in 0.1, z, 5?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -5*d - 20. Let m be a(-5). Solve 3 = l + m for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b = -4*x + 168, 129 = -x + 4*x - 3*b. Which is smaller: 42 or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1540?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2 - -2. Suppose 4 = z - n. Let g be ((-12)\/(-15))\/(z\/110). Solve -42 = 5*q - 17, -4*q = 2*v + g for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5 - (0 - -2)) + 1.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 21\/2 of a milligram?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = 162*i - 2058. What is the units digit of u(14)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -25*m**2 + 0*m**3 - 240*m + 241*m + 2*m**3 as p*m + o*m**3 + w + x*m**2 and give x.\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:14 PM and 6:23 PM?\nAnswer: 69","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1\/1008 (b) -11\/6 (c) -20\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -4*v. Let s(w) = w. Let t(m) = -2*m. Let i(j) = 5*s(j) + 3*t(j). What is i(q(f))?\nAnswer: 4*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -1*374680\nAnswer: -374680","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(5*(sqrt(325)*-3)**2 + -4 + -1*sqrt(325))*-2*2.\nAnswer: -292420 + 100*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 17679280 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 + 2 - 8 - (1 - (4 - -8))?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 220 and 396?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 5.75655 hours?\nAnswer: 0.23985625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 82 and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 14 or 6?\nAnswer: 14","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a**(13\/3)\/a*a*a**(-17) assuming a is positive.\nAnswer: a**(-38\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -12 + 13 + (-1 - (2 - -1)) + 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/9? (a) -0.08 (b) 339 (c) -1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 63\/2 (b) 0.1 (c) 2\/3 (d) 1 (e) -5 (f) 58 (g) -1\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 8, r: 3, c: 7}. Give prob of sequence rcr.\nAnswer: 7\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wrww when four letters picked without replacement from {r: 2, w: 7}.\nAnswer: 5\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (32\/(-544))\/(9\/(-6) + 1)?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.51037218 rounded to three decimal places?\nAnswer: -0.51","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-2)\/(-4) + 10\/(-20). Suppose 4*n + 19 - 7 = h. Let u be (0 + 23 + n)\/(-1). Sort -1\/6, 2, u in decreasing order.\nAnswer: 2, -1\/6, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = 4*o**2 - 84*o - 41. Let i be a(22). Solve f = i - 43 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5026 plus -0.44?\nAnswer: -5026.44","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6 - 6 - 2*l**2.\nAnswer: -2*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -44040 or -44042?\nAnswer: -44042","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + (sqrt(133)*-1)\/sqrt(7))**2*-5.\nAnswer: -95","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 1, m: 1, u: 1}. What is prob of picking 1 f and 1 u?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 471653\/18 + -26211. Calculate the common denominator of j and ((-4)\/(-10))\/((-48)\/(-1180)).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 54772, 54776, 54782, 54790, 54800, 54812, 54826?\n\"Answer: l**2 + l + 54770","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 6 (b) -5 (c) 0.6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 5 and -4 - (-9 - (-4 - -6)).\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) be the first derivative of -4*y**5\/5 + y**4\/2 + 4*y**3\/27 + 43. Let v(o) = 0. What is o?\nAnswer: -1\/6, 0, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1492)\/1119*(-9)\/(-28))\/((-1)\/35).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = s. Let y(o) = -18065*o + 3877*o + 3734*o + 6048*o. Determine y(c(r)).\nAnswer: -4406*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert -21524044 (base 7) to base 16.\nAnswer: -1c4e00","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -230896, -462818, -694742, -926668, -1158596, -1390526?\nAnswer: -1622458","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 945 + -938 + (-2 - 0 - -10)?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide 30339?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -8*h + 11*h - 6 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*f**2\/15 - 6494*f\/15 + 186644\/15 = 0 for f.\nAnswer: 29, 3218","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) be the third derivative of n**6\/120 - n**5\/20 - 5*n**4\/24 + n**3 - n**2. Let p be k(4). Is -1\/3 at least as big as p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = 2*r**3 + 12*r**2 + 10*r + 43. Give a(-6).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-1)\/((-1)\/1)*0. Suppose o*m + 5*m - 35 = 0. Solve -2*x = -m*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -3*d. Let j be (-6)\/16 + (-108)\/(-288). Let q(u) be the second derivative of -1\/3*u**3 + j*u**2 + 0 - 2*u. Determine b(q(a)).\nAnswer: 6*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -9821308*i**4 - 281355267*i**2 wrt i?\nAnswer: -235711392*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o + 156 - 699 = 0. Let h = -116 + o. Is 13 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -1. Let u(r) = 8 + 4*r + 5*r + 3*r - r. Let s(g) = 4*n(g) + u(g). Let z(o) = 10*o + 4. Let j(q) = -4*s(q) + 5*z(q). Differentiate j(y) wrt y.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.3353967 minutes to hours.\nAnswer: 0.005589945","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = f - 1. Let x(y) = -13*y + 5 - 2 - 7*y + 16*y. What is 5*s(d) + x(d)?\nAnswer: d - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 45\/2, -2\/9, -7, -2\/13?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from oooacaoco. Give prob of sequence oca.\nAnswer: 5\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -581 - -1924. List the prime factors of d.\nAnswer: 17, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 105, 101, 97, 93, 89?\nAnswer: 85","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -615, -1086, -1741, -2670, -3963, -5710?\nAnswer: -8001","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2\/227 - -428\/2951. Let u = 1514 + -1518. Let z = 5 - 2. Which is the third smallest value? (a) 4 (b) u (c) z (d) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 190 + 160*c**3 - 287 - 121*c**3 - 1225.\nAnswer: 39*c**3 - 1322","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1\/10 (b) 3\/2 (c) -1 (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -74*y**5 - y**4 - 566*y**3 + 156694*y**2 + 2 wrt y.\nAnswer: -4440*y**2 - 24*y - 3396","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = 2*h. Let r(v) = -2*v. Let n(z) = 7*a(z) + 6*r(z). Let y(m) = -18*m - 13. Let u(k) = 4*k + 3. Let p(g) = 26*u(g) + 6*y(g). What is p(n(f))?\nAnswer: -8*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -13371, -13373, -13377, -13383, -13391, -13401?\nAnswer: -13413","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 48\/(-15)*(18 + (-682)\/44).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*g + 2*g - 20 = -2*g + 3*b, -g + 3*b - 1211 + 1216 = 0 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*j**2\/4 - 21*j\/2 - 99\/4 = 0 for j.\nAnswer: -11, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cncnpopcccncoccc. Give prob of sequence cn.\nAnswer: 9\/80","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*f - 4*l - 5 + 33 = 0, 0 = 2*f - 2*l - 2 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -128, -136, -150, -170, -196?\nAnswer: -228","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (-3 - -6) + (-1 - 2)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -46.4 + -17.6. Let s = u + 63. Which is smaller: s or 1\/4?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 23113001 + 2021?\nAnswer: 23121022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -55 = 82*p - 93*p for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -933 - -935. Suppose 15 - 6 = w - o, w = k*o + 13. Solve w*r = 3*g + 32, -3*r + 5*g + 28 = g for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -8 and -6.2.\nAnswer: 49.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1.60708 - -3.\nAnswer: 1.39292","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 62, 0.3, -1\/2, 0.29, 0, -1\/3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -13 - -58?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27 = h - 0*h. Let v = -15 + h. Let w be (-1)\/4 + (-9)\/v. Is -1\/4 > w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 13631 - 133?\nAnswer: 13476","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 3\/(-15 - -18 - (-2)\/(-1)). Find b such that -42 - 34 - 35*b**y - 38 + 114 + 2040*b**2 - 580*b = 0.\nAnswer: 0, 2\/7, 58","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 3\/281, -4\/3, -3\/7, 1\/85, -1, 5?\nAnswer: 3\/281","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -l + 2. Let y(a) = a - 1. Let v(b) = d(b) + 2*y(b). Let x(s) = 15*s - 39. Let r(i) = -7*i + 18. Let g(u) = 13*r(u) + 6*x(u). Calculate g(v(h)).\nAnswer: -h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) be the second derivative of 24*m + 0*m**3 + 0*m**4 - 23\/5*m**5 - 33*m**2 + 0. Differentiate y(h) with respect to h.\nAnswer: -276*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = 9*l. Let u(j) = -j. Let h(g) = 14 - 2*g - 14. Let v(i) = 4*h(i) - 10*u(i). What is m(v(q))?\nAnswer: 18*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00739959 to 5 decimal places.\nAnswer: 0.0074","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -98.6 - -94. Let n be ((-2)\/5)\/((-12)\/(-20)). Is n >= b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 124213 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 7346044 + 1\nAnswer: 7346045","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*v + 5*l - 116 = 4*v + l, -l = -85*l - 84 for v.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 108828 and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -32 (b) 3 (c) 1\/4 (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bbbaabbb. Give prob of picking 3 b.\nAnswer: 5\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 166067\/7 + -23781. Let g = -398\/7 - m. Which is the second smallest value? (a) g (b) 7 (c) 6\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 2, 2652.8, 24, -1\/8, 0.5, 8, 0?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) be the first derivative of t**4\/34 + 28*t**3\/51 + 49*t**2\/17 + 128. Factor h(z).\nAnswer: 2*z*(z + 7)**2\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -35, -40, -55, -86, -139?\nAnswer: -220","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 1225028 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 1b (base 15) in base 10?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 7773569 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -110001011000 + -10111000111100?\nAnswer: -11101010010100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve m - 4*m - 19*m - 352 = 0 for m.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -845 + 868. Solve -2*g - 1 = 4*k - 27, 4*k - i = -g for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = 3*m - 2. Suppose -3*x + 3 = -2*x. Suppose x*w = -w. Let b(o) = w*o - 2 - 1 + 4*o. What is 4*b(t) - 6*s(t)?\nAnswer: -2*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -25 + 12558?\nAnswer: 12533","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1088) - (sqrt(1088) + sqrt(1088)*-1 - sqrt(1088)))**2 + -1 - (-5 + -1*sqrt(1088))**2 - ((sqrt(102) + sqrt(102) + sqrt(102)*-1)*2)\/(-1*sqrt(96)).\nAnswer: -159*sqrt(17)\/2 + 3238","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) be the second derivative of c**3\/3 - 6*c**2 + c. Does 4 divide g(8)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5892 = y + 2*y. Let i = -366 + 369. Suppose 4*d - y = 3*r, -d + 1964 = i*d - r. Is d composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 times 35.88\nAnswer: 71.76","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -6\/42919 and 67\/10.\nAnswer: 429190","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 65509747 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: ((-24)\/400)\/(7\/(-28)*-6)\nAnswer: -1\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 0 + -48a8273?\nAnswer: -48a8273","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 323*s**3*w**3 + s**3*w**2 + 7*s**3*w + 22*s*w**2 wrt w?\nAnswer: 1938*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v - 4*v = -302. Suppose r = -5*z + 480, -3*z = -5*r + 42 - v. Is z a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -11? (a) 1 (b) 2\/7 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -16*b**3 - 11*b**2 + 11*b - 1. Let k(p) = 0*p - 2*p**2 + 15*p**3 + 2*p - 18*p**3. Let o = 1612 + -1623. Give o*k(n) + 2*j(n).\nAnswer: n**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1440)\/42240*120\/(-9)?\nAnswer: 5\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) be the third derivative of v**5\/15 + 7*v**4\/24 - 116*v**3\/3 - 490*v**2. Find the first derivative of x(f) wrt f.\nAnswer: 8*f + 7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 150647?\nAnswer: 7, 21521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 6 + -6. Suppose 5*f + 28 = u, u + s = -3*f - 12. Suppose 0 = u*n - 5*a - 2049, n + 2*a = 5*n - 2732. Is n a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*i**3 + 10470*i**2 - 13707846*i + 13697378.\nAnswer: -2*(i - 2617)**2*(i - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1.7? (a) 2\/5 (b) -1 (c) 0.2 (d) 1\/4 (e) -0.06 (f) 33.6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2809 - -2949. Is y > 148?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -p**3 - 6*p**2 + 7*p + 3. Let g be y(-7). Suppose -g*b - 2*b = 0. Suppose 33 = -b*u + u. Calculate the remainder when u is divided by 12.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 3, 131 in ascending order.\nAnswer: 2, 3, 131","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -4152 - -4252. What is the smallest common multiple of a and 750?\nAnswer: 1500","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-6)\/(-3) + -1 - -2. Let o(z) be the first derivative of 0*z**3 - 2*z**3 + z**2 + z + 2 + z**c. What is o(-1)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -y**2 + 9 + 2 - 10 + 3*y**2 - 12*y - 5 to q*y + n + v*y**2 and give v.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Add together 21.9816 and 1843117.\nAnswer: 1843138.9816","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) be the first derivative of -m**6\/2 + 12*m**5\/5 - 3*m**4\/4 - 6*m**3 + 782. Determine x, given that t(x) = 0.\nAnswer: -1, 0, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-9*(-4)\/90)\/1?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -672\/11 - 74\/11*m - 2\/11*m**2.\nAnswer: -2*(m + 16)*(m + 21)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -58*u + 20*u + 266 = 0 for u.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) be the third derivative of o**8\/1440 - o**5\/12 + o**2. Let n(s) be the third derivative of c(s). Suppose -5*h = -22 + 17. Determine n(h).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v = -0*v - 5*f + 4242, v - 2121 = -f. Let i = -1189 + v. Suppose -2*y + 2*m + 478 = 0, 2*y - 2*m = 6*y - i. What are the prime factors of y?\nAnswer: 5, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((v*v**(-29))\/v**(-21))\/((v**(6\/7)\/v)\/(v\/(v*v\/v**(-1\/5)*v*v*v))))**25 assuming v is positive.\nAnswer: v**(-1935\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -375458457 - -5.5.\nAnswer: -375458451.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -t**3 + 9*t**2 + 2*t + 8. Let z be p(9). Let m be 3 + -1 + z + -2. Calculate the highest common factor of 39 and m.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 90 and 1215.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1574, 3148, 4722, 6296, 7870?\nAnswer: 9444","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t = -2*r + 28, 0*r + 2*t + 12 = 2*r. Let n be 2\/r*205*1. Suppose -c + 15 - n = -m, 0 = 3*c - 9. What is the remainder when 141 is divided by m?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 6 or 3\/8?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 529?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2507 = -17*x + 774. Suppose -190*v = -x*v - 12. Let q(m) = 2 - m**3 - 3*m + 4*m - 5*m**2 + 0*m**2 - 4*m. Give q(v).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 5, k: 1, r: 1, m: 12}. What is prob of sequence uuru?\nAnswer: 5\/7752","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -9*s**2 + 11 - s - 7 + 10*s**2 + 12. Let y be r(0). Solve -3*t = x + y, t + 4*t + 24 = -x for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5981*c - 162 = -5995*c - 3*o, -4*o = -4*c + 56 for c.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*c**2 - 267*c - 4*c - 390*c - c**2.\nAnswer: -5*c**2 - 661*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 4854682925 to the power of 1\/8, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*h - 4, -5*h - 6 - 24 = 5*u for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 7174907 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is k in -k**5 + 155*k**4 + 794*k**3 + 964*k**2 - 632*k - 1280 = 0?\nAnswer: -2, 1, 160","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 6278047 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/24 of a century in months?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve y**5 - 9*y**4 - 22*y**3 - 2*y**2 + 21*y + 11 = 0 for y.\nAnswer: -1, 1, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 34119 is divided by 34110.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express -83*w - 25*w - 59*w + 8*w as l*w + c and give l.\nAnswer: -159","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -734, -5, -176, -2, -3 in decreasing order.\nAnswer: 0, -2, -3, -5, -176, -734","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 265 and 1060?\nAnswer: 1060","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 20821.3248 to the nearest one hundred.\nAnswer: 20800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.019051683 to 4 dps.\nAnswer: -0.0191","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -22*l - 37. Let g(o) = -11*o - 18. Let m(b) = 5*g(b) - 3*q(b). Let k be m(-8). Let t = 60 + k. Is t <= -13?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.00622264 rounded to 4 decimal places?\nAnswer: -1.0062","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 15950, 15962, 15982, 16010, 16046, 16090?\nAnswer: 16142","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = a**2 + 3*a + 7. Let s(p) = -p**3 - 7*p**2 - 5*p - 2. Let z = 18 + -24. Let h be s(z). Is q(h) a multiple of 27?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 - 3 + 3)*(5*k - 14 + 2 + 9) to the form g*k + j and give g.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 847 and 17094539?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -t**3\/4 + 7*t**2\/2 + 8*t.\nAnswer: -t*(t - 16)*(t + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 142, 125, 108?\n\"Answer: -17*d + 159","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -47*b - 7. Let t be j(-1). Let r(a) = -a**2 - 12*a + 5. Let d be r(-10). Let v = 41 - d. What is the highest common factor of v and t?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) be the first derivative of r**2\/2 + 10. Let z(d) = 11*d**2 + 12*d. Let i(t) = 2*m(t) - z(t). What is the second derivative of i(v) wrt v?\nAnswer: -22","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 904 is divided by 233.\nAnswer: 205","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 500 - 95. Let h = 983 - o. Suppose -h = 6*p - 4472. Is p a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -26, -65, -104, -143, -182, -221?\nAnswer: -260","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) be the second derivative of y**6\/30 - y**5\/12 - y**4\/36 + 5*y**3\/18 - y**2\/3 + 106*y. Suppose l(i) = 0. Calculate i.\nAnswer: -1, 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 19*x**2*y**3 - 41*x**2*y**2 - x**2 - x*y**3 - 5*x*y**2 - 11*x - 56*y wrt x?\nAnswer: 38*y**3 - 82*y**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1420 - -14?\nAnswer: -1401","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 16777 and 455.5.\nAnswer: 7641923.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -8055292, -8055287, -8055280, -8055271, -8055260?\n\"Answer: g**2 + 2*g - 8055295","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -79\/90814 and 41\/16558.\nAnswer: 44226418","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w - 12 = -3*h + 6, 2*h = -5*w + 18. Suppose 0*x + w*x + 4*c - 4 = 0, 0 = -3*x - 2*c + 14. Let n(s) = s**3 - 7*s**2 + 6*s + 6. Is n(x) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -j**3 + 22*j**2 + j - 8. Let x be v(22). Suppose 4*d - x = -2. Solve d*s = s + 2 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1 + 26. Suppose 2*l = 5*l - u. Is 633\/l*(1 + 2) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) be the first derivative of -h**4\/10 + 4*h**3\/5 - 12*h**2\/5 + 16*h\/5 - 6. Factor n(s).\nAnswer: -2*(s - 2)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l + 4 = 2*o - 3*o, -34 = 4*o + 2*l. Is 2 a factor of (-29)\/o + 6\/(-27)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -97, -8, -1\/18, -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1110101100 - 100111100011?\nAnswer: -11000110111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2874 or 4?\nAnswer: -2874","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -21 + 17. Is z at least as big as -3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 16 and 3504?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -4, -24, -50, -76, -96, -104, -94?\n\"Answer: w**3 - 9*w**2 + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -16 + 107. Let s = -64 + u. Suppose 0 = 47*f - 2909 + 512. What is the remainder when f is divided by s?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -6137\/39 + 2050\/13. Find m, given that q*m**3 + 2\/3 + 2*m + 3\/2*m**2 = 0.\nAnswer: -2, -1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-3 - 27 - 18)*(-2*p + p + 0*p) + 3 - 3 - p + (-1 + 1 - 2*p)*(2 - 1 - 2))*(9*p**2 + 15*p**2 - 41*p**2).\nAnswer: -833*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 544 is divided by 139.\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 8357?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 318299?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 4043 - -12?\nAnswer: 4055","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 1 + 0)*(-4*g + 2*g + 5*g)*(-8*g - 6*g + 7*g).\nAnswer: 42*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 28\/32*1 - 1?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 65 + -93. Let v be 8\/j + 60\/14. Solve 3*f - 5*p = -11, -p + 35 = 5*f + v*p for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8 = -38*q + 40*q for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 266\/9 (b) 40.9 (c) -5 (d) 0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -634 + 633.4. What is the smallest value in 2\/3, 0.11, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -915454, -1830910, -2746366, -3661822?\n\"Answer: -915456*r + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 30, 73, 116, 153, 178?\nAnswer: 185","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -8009, -16195, -24381?\n\"Answer: -8186*y + 177","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j = -j + 375. Suppose 0 = -5*q - 35 - j. Let v = -30 - q. Solve -w + 0 = -v, 5*i + 3*w = 11 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 747173 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (2 - 0)\/(500\/(-124) + 4). Let b = r - -61. What are the prime factors of 376\/4 + (4\/(-2) - b)?\nAnswer: 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*b + b - 5 = 0. Let j(i) = 1 + 8*i + b - i - i**2. Calculate the remainder when 11 is divided by j(7).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u + 16 = -2*z, 4*z + 17 = 3*u - 4*u. What is the second biggest value in z, 0.3, -1\/5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4098.\nAnswer: 2, 3, 683","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b**5\/9 + 5*b**4\/9 - 97*b**3\/3 - 77*b**2\/9 + 287*b\/9 + 8 = 0. Calculate b.\nAnswer: -9, -1, -1\/4, 1, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jjjjjjjjjjjjjjjjejjj. Give prob of picking 4 e.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -72 in 5, -2\/17, -1, -0.9?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7262497.\nAnswer: 11, 660227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 167962 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: Simplify 6*(-5 + -4*(-2 + sqrt(847)))*-2.\nAnswer: -36 + 528*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6250 is divided by 112.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 503686088?\nAnswer: 2, 62960761","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 251 a factor of 1906131?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 13749, 27512, 41277, 55038, 68789?\n\"Answer: -w**3 + 7*w**2 + 13749*w - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 > -21205497?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c = 2*u + 142 + 7, -289 = 4*u + c. Let o = -37 - u. Suppose -b + 4*b - o = 0. What is the tens digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000012175 to 7 decimal places.\nAnswer: -0.0000012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -189684 divided by 2\nAnswer: -94842","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 299206 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 40*i**2 + 179863*i - 179863*i.\nAnswer: 40*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 9808, 9812, 9832, 9874, 9944, 10048, 10192, 10382?\nAnswer: 10624","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 8623000, 17245993, 25868986, 34491979?\n\"Answer: 8622993*l + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-x + 0*x - x)*(1 - 2 - 1) + 3*x - 4 - 11*x + 2.\nAnswer: -4*x - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = u**2 - 19*u - 22. Suppose -2*y - 15*t + 7 = -1, 70 = 4*y + 3*t. Give f(y).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 572628985.\nAnswer: 5, 114525797","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 1980888191 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 13600, 108671, 366642, 868939, 1696988, 2932215?\n\"Answer: 13571*t**3 + 24*t**2 + 2*t + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2218.2 + 1292. Let l = 925 + q. Let w = -0.1 - -0.1. Sort -2, l, w, -5 in ascending order.\nAnswer: -5, -2, l, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4)\/8*(-4)\/16*-6.\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5 - 3 + t**3 + 2*t + 10 + t**4 - t**2 - 1 to b + n*t**4 + y*t + w*t**2 + k*t**3 and give b.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3 * 17.9681.\nAnswer: -53.9043","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2 plus 0.1092558908?\nAnswer: -0.0907441092","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1412992.\nAnswer: 2, 7, 19, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = b - 5. Let x(k) = -k**2 - 8*k + 1. Let f be x(-7). Calculate c(f).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 + 6 + (0 - -1) + -1?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -129*p - 3784. Calculate n(-18).\nAnswer: -1462","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q - 5*m = -12293, -4*m = q + q - 12298. What is the units digit of q?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = 3*h**2 - 10*h - 11. Let n be c(5). Suppose 2 = 4*u - n. Suppose v + 243 = u*v. What are the prime factors of v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 14, -0.4, 1?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 34215\/(-75) + -19 + ((-36)\/(-15))\/(-4). Which is bigger: -2\/3 or t?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 740\/6*11\/(418\/285). Calculate the greatest common factor of 475 and x.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 31 - -1. Calculate the greatest common divisor of i and 784.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 50 and 20450.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x = -0*x - 26. What are the prime factors of x?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v - 240 = -2*v. Suppose 0 = -5*s + 5*u - 200, -3*s = 14*u - 12*u + 130. Let m = s + v. Does 9 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2\/18977 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -4 + 0*2\/(-6). Find the common denominator of ((-150)\/d - 3) + -2 and (-273)\/(-2)*2\/36.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -3 + (-2 - 5)*-1. Solve s*c + n - 11 = 4*n, 6 = 3*c - 3*n for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 56 - 36. Suppose -2*t + 10 = 3*i, 2*t + 2*t - q = 5*i. Solve -2*l - 2*o - 6 = i, -2*o + 24 = -5*l + 2*o for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -1196*d**2 + 2*d - 9. Let c be y(6). Suppose -4*k + 4*f = -40107 - 15693, 3 = -f. Let s = k - c. What is s rounded to the nearest ten thousand?\nAnswer: 60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 6580 and 752?\nAnswer: 188","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -63930858*r**3 - 2*r + 231385691 wrt r.\nAnswer: -383585148*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 9 + -8. Suppose 5*i = 4*i + r. Calculate the highest common divisor of i and 11.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) be the third derivative of m**5\/60 + m**4\/6 - 11*m**3\/2 + 111*m**2. Does 7 divide u(10)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 7098.858ng?\nAnswer: 0.000000000007098858","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 3470003 - (-3 - (-9)\/6)*-2. Round n to the nearest 1000000.\nAnswer: 3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 + 4 - (-11 + 4 - -13)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (712\/(-89))\/(1\/(-1))\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**(-3))**33)**(-46) assuming p is positive.\nAnswer: p**4554","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -122 - 14?\nAnswer: -136","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 0.6496851 centuries?\nAnswer: 779.62212","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -12*w - 302. Let y be s(-25). What is the third smallest value in y, 4\/3, -2\/7, 3?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = 303*q**2 + q + 10. Let w(c) = 2*c**3 + 2*c - 1. Let n be w(1). Let b be z(n). Round b to the nearest 100.\nAnswer: 2700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 141 + -159 - (-8 - -5 - -9).\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2472?\nAnswer: 2, 3, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 708 divided by -28.\nAnswer: -177\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 649020 to the power of 1\/2, to the nearest integer?\nAnswer: 806","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (-20)\/(-8) - (0 - -3)\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -2*-1*(3 + -7 - -647). Suppose -12*m + 14*m + 1286 = 2*h, 2*h - w = 5*m. List the prime factors of h.\nAnswer: 643","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -953514, 3.\nAnswer: -953514, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1 + -2. Suppose -10*y + 7*y = 12. Let u(g) = -g**2 - 4*g + 2. Let p be u(y). What is the nearest to d in 2\/9, p, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2, -59, -102, -131, -146, -147, -134?\nAnswer: -107","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 17606872 and 15305?\nAnswer: 88034360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -48.796, -0.5, 3\/34, -1\/4?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 52440102 to the power of 1\/8, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11110010000000100010101 (base 2) to base 3.\nAnswer: -112220220002122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 120 minutes after 2:42 AM?\nAnswer: 4:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.42 + 29.58. Let k = -27 + i. Which is the nearest to k? (a) 1 (b) 3\/8 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xus when three letters picked without replacement from {s: 1, z: 3, x: 5, t: 4, u: 1}.\nAnswer: 5\/2184","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = q - 4, k - 14 = -4*q + 8. Let j(x) = -46*x**2 - x + 5. Let t(r) = r**2 - 2. Let u(b) = k*t(b) - j(b). What is the second derivative of u(i) wrt i?\nAnswer: 104","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4033 = 72*b - 10153. Let n(l) = -350*l**2 + 85. Let c(y) = 25*y**2 - 6. Calculate b*c(x) + 6*n(x).\nAnswer: 25*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 e when four letters picked without replacement from eeeeeeeee?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) be the second derivative of p**4\/12 + 7*p**3\/6 + 9*p**2 - 287*p. Determine d(-4).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -w - 6. Suppose 3 = -4*l - 25. Let s be t(l). Let n = s - 3. Is n smaller than -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-7 - (-3 - 15)) + 6\/(-1). Suppose 3*o = -2*l - 15 + 81, -4*l = -i*o + 110. Calculate the greatest common factor of o and 341.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5876 + 2874 = -158*v for v.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -242*r + 6*r - 33*r + 1.\nAnswer: -269*r + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o and 1 y when two letters picked without replacement from nyoooooto?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -55 - -57. Suppose -5*d = a*d - 56. Suppose p = 5 + d. Solve 3*k + p = 2*k + 4*q, k - 5*q = -16 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:13 AM and 4:57 PM?\nAnswer: 584","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**0)**(-2\/13))**(-36) assuming s is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand -43*h**5 + 39*h**3 - 19*h**3 - 19*h**3 - 2 + (h - 6*h + 3*h)*(27*h**2 - 27*h**2 + 36*h**4).\nAnswer: -115*h**5 + h**3 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -11\/2 - -5. Let s = 2\/18963 + -37948\/208593. Which is the nearest to y? (a) -0.5 (b) 4.2 (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*c = 13*c - 127696. What are the prime factors of c?\nAnswer: 2, 347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 50 - (-29 + 5933\/204 - (-415)\/60)?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 205 = 3*t + 811. Let y = t - -3032\/15. Put 2\/9, -2, y in decreasing order.\nAnswer: 2\/9, y, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:48 AM and 9:31 AM?\nAnswer: 223","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 260173 is divided by 431.\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 48*c - 198 = 51*c. Let q = c + 71. Let h be 73 + ((-3)\/q)\/(13\/65). What is the highest common divisor of 35 and h?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -2*w**3 + 3*w**2 + 44*w - 29. Determine h(6).\nAnswer: -89","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 60 = -1302*s + 1314*s. Solve 5*g = g - s*z + 14, -5 = -3*g - z for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 9\/5 of a litre?\nAnswer: 1800","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5\/(20\/(-356))*-1?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 9\/6*132\/594\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -657 (base 10) to base 2\nAnswer: -1010010001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2\/((-4)\/(-1)) + 129\/6. Suppose -2*x + 5*x + 4*n - m = 0, 2*x - 4*n + 12 = 0. Suppose -14*b - x = -15*b. Solve 7*w = b*w + 5 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1312 divided by 328?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 4\/(-14) + (-5)\/((-140)\/148)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 55460.695 times 5\nAnswer: 277303.475","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 1, j: 1, y: 1}. Give prob of sequence gg.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*g + 10 = -17*g. Let d be 3 - 2694\/(g\/5). What is the second derivative of -1350 - 19*q**4 + d - 2*q wrt q?\nAnswer: -228*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-6)\/(-10) - (9 - (-260)\/(-25)). Solve -3*q = c*r + 16, 0 = -3*q + 4*r + r + 19 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-145)\/(-116) + (-102)\/(-8). Find the second derivative of -8*d**3 + 16*d**3 + 8 + k*d**3 + 40*d**3 - 6*d wrt d.\nAnswer: 372*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 1, n: 2}. Give prob of picking 1 n and 1 a.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 15615?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1543191363?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 145214337 is divided by 354.\nAnswer: 351","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 165.4 rounded to the nearest ten?\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 39420946 to the power of 1\/2, to the nearest integer?\nAnswer: 6279","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 10 - 7. Suppose -3*k - 18 = -h*x, -3*x + 6*x - 2 = -k. Let i be (-1)\/(2\/k) + -1. Which is smaller: 1\/4 or i?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zhhr when four letters picked without replacement from {h: 3, z: 3, r: 1}.\nAnswer: 3\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -39, -4, -268?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -4*n - 26. Let h be a(-5). Sort 0, -2, h, 2 in decreasing order.\nAnswer: 2, 0, -2, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -50\/3277 less than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -j**3 + 5*j**2 + 14*j + 2. Let u be d(7). Suppose 0 = -5*q + 25 - 10. Suppose 7*y = q*y. Solve -u*w - w + 9 = y for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -9 + 2642\/42 + 2\/21. Solve 0 = -7*c - 11*c + l for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find a such that 18\/7*a**3 - 2\/7*a**5 + 128\/7*a - 456\/7 - 38\/7*a**4 + 50*a**2 = 0.\nAnswer: -19, -2, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 375 (base 10) to base 13.\nAnswer: 22b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -6.9 and 1?\nAnswer: -6.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (5\/(-2))\/((704\/(-2112))\/(4\/6)). Suppose 1\/5*o**3 - 2\/5*o**4 + 0*o + 2\/5*o**2 - 1\/5*o**d + 0 = 0. Calculate o.\nAnswer: -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*y = 106*y - 197 + 834 for y.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*c**2*p*x**3 + 132*c**2*p*x**2 - 61*c**2*p + c**2*x**3 + 2*c*p*x + 18359*c*x**3 wrt x.\nAnswer: 12*c**2*p + 6*c**2 + 110154*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-78)\/(-13)*1\/2. Suppose -2*u = p*u. Solve u*y - 2*y - 10 = 0 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (10 + -3 - -2) + -13?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 227023 and 1358339?\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:22 AM and 12:48 PM?\nAnswer: 386","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put together -3.19326083621 and 0.5.\nAnswer: -2.69326083621","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c = 2*q + 1 - 3, -3 = q + 4*c. Suppose -5*n + 2*n = 4*w - q, -2*w - 2 = 0. Solve -4*d = 3*a - n, 4*a - 5*d = -d - 24 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) be the second derivative of 2*w**3\/3 - 249*w - 1. Let j(o) = 114*o**2. Determine j(g(h)).\nAnswer: 1824*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = 137*q - 4. Calculate n(1).\nAnswer: 133","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -4 - -10 - (-4)\/(-2). Let n = 0 + -5. What is the biggest value in -3, m, n?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -35.1993703 + -1918\nAnswer: -1953.1993703","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -2520.1 rounded to the nearest one thousand?\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10430 is divided by 240.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1*(-5)\/((-485)\/(-6)). Let a = 59\/2522 + z. Let y(q) = -36*q**2 + 117*q - 26. Let i be y(3). Is a less than i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000000443779103 rounded to 7 dps?\nAnswer: 0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-24)\/(-324) - 129129\/3483.\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1\/6 + 1\/2. Let q(n) be the first derivative of -o*n**3 - 1\/6*n**2 - 1\/15*n**5 + 2 + 0*n - 1\/4*n**4. Factor q(t).\nAnswer: -t*(t + 1)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -27 + 20.94. Let m = 0.06 + n. Which is smaller: m or -0.1?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w and 1 d when two letters picked without replacement from {d: 3, w: 3, l: 1}?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 19 + -32. Let i = 45 - 22. Let j = x + i. Solve -1 = -3*c - 4*a - 21, -j = 2*c + a for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (10\/20)\/((-4)\/32)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 154886675 to the power of 1\/3, to the nearest integer?\nAnswer: 537","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = 62*w - 82. List the prime factors of y(40).\nAnswer: 2, 11, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -36 - 75 - 22 - 2*z**2 - 151 - 14.\nAnswer: -2*z**2 - 298","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or -329\/24415?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -t - 1. What is the lowest common multiple of 476 and k(-9)?\nAnswer: 952","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -39*b + 43*b - 3*q + 37 = 0, 67 = 4*b - 5*b + 6*q for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -142*p**2 - 3 - p + p + 3*p + 155*p**2. Suppose 3*v + 9 = 0, -3*w = -v + 2*v. What is the units digit of u(w)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 z and 1 p when three letters picked without replacement from {z: 3, p: 2}?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -725 = 32*z + 18*z - 175 for z.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -d**2 + 3*d + 40. Let g be s(8). Solve g = -3*h + 6, 0 = z - 0*h - 4*h + 7 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 262433 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = 6*n + 32. Is j(16) a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -l**2 + 3*l. Suppose z = -2*z + 3. Let m = 4 - z. Let h be r(m). Round h to 2 dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 55 is divided by 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.003 - -0.103. Which is smaller: 0.19 or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 326*r + 17667 = -429*r - 5738 for r.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 59\/10329708 and 65\/48205304?\nAnswer: 144615912","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Add together -2278.7299 and 28718.\nAnswer: 26439.2701","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -461943 or -461941?\nAnswer: -461943","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/25 of a litre in millilitres?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 99143, 99140, 99137, 99134, 99131, 99128?\nAnswer: 99125","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x - 19*x = -21350. Let l = x + -15309\/10. Find the common denominator of l and -91\/18.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 10\/(-9) - (-9 - (-2827)\/396). What is the nearest to 0.21 in v, 3, 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -175*m**3 + 180*m**3 - 5*m + 9 - 6 - 4 to the form k + z*m + q*m**2 + d*m**3 and give k.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 92 divide 736?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = 2*a**3 + 2*a**2 - 26*a - 46. Suppose -121*d + 39*d - 270 = 53*d. Calculate r(d).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -186.8*0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 180, 134, 104, 96, 116?\n\"Answer: l**3 + 2*l**2 - 59*l + 236","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) be the second derivative of -77*a**3\/2 - 15*a**2 + a + 2. What is the first derivative of v(i) wrt i?\nAnswer: -231","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 45 - -48. Let k = h + 70. Is k a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xi when two letters picked without replacement from {r: 8, x: 2, f: 2, i: 2}?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f + 146 = -3*f + g, -4*g + 140 = -f. Is f smaller than -737\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -2645*z - 150. Suppose 0 = 4*k + m + 28, 0 = -2*k + 5*m + 8 - 0. Let w be h(k). What is w rounded to the nearest one thousand?\nAnswer: 16000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-5)\/(-5) + (0 - -39)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -16.777922 rounded to 2 dps?\nAnswer: -16.78","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 3588 - 3588.4. What is the nearest to 1 in -0.29, a, -0.3?\nAnswer: -0.29","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = g**2 - 3*g - 3. Let n be q(7). Let c = 60 - n. Let u(t) = t**3 + 18*t**2 - 18*t + 31. Calculate the remainder when c is divided by u(-19).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 c when four letters picked without replacement from {s: 5, c: 13}?\nAnswer: 143\/612","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 745.8188 litres to millilitres.\nAnswer: 745818.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 18 - ((-7408)\/(-224) - 15).\nAnswer: -1\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -35\/2368 and 111\/224.\nAnswer: 16576","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1513b (base 13) to base 15.\nAnswer: bbb0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1806935 rounded to 2 dps?\nAnswer: 0.18","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 26674240.\nAnswer: 2, 5, 83357","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*m + 52 = 8. Let b(u) = 6*u**2 - 23*u + 16. Let r(j) = 3*j**2 - 12*j + 8. Let s(h) = m*b(h) - 7*r(h). What are the prime factors of s(8)?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:36 PM and 6:47 PM?\nAnswer: 251","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 62 + -47. Suppose 4*r - 3*p = -l, 2*r + 0*p = p - 5. Suppose r = 2*d - 6*d + 8. Solve 5*s + k - 23 = 0, 0 = 2*s + d*k - 1 - 5 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (19 + 1428\/(-85))\/(3\/210). Which is smaller: n or 136?\nAnswer: 136","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 158*25 - 4 - 0 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 7, l: 1}. What is prob of sequence ttt?\nAnswer: 5\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 81203.54 minutes to seconds.\nAnswer: 4872212.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 381213 is divided by 2823.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1162 + 1161.6. Let g = -19\/8 - -39\/8. What is the second biggest value in g, -1\/2, a, -5?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -47 + (1 - (19 - 10)) + 21.\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 23 - 21. Suppose 191 + 94 = 3*l + 3*w, -195 = -m*l - 3*w. What are the prime factors of l?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 h and 1 n when four letters picked without replacement from {n: 2, h: 18}.\nAnswer: 32\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2.5 - -2. Let q = -0.13269 - -5.13269. Which is the third smallest value? (a) s (b) -1\/8 (c) q (d) 7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-8)\/((-128)\/(-828))*2\/12. Let k = c - -775\/88. Factor 6\/11*z**3 - k*z + 0 - 4\/11*z**2.\nAnswer: 2*z*(z - 1)*(3*z + 1)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 11 - 8. Suppose -4*a = -g*a. Suppose a*p = 3*p - 15. Solve 13 = -v - p*j, j = -5*v + 2*j + 13 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = 10*q**2 - 546*q + 2579. What is z(52)?\nAnswer: 1227","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -p**2 - 3*p + 8. Let w be y(-4). Let m(j) = j - w - 4*j + 3. What is m(-4)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 9 + -7. What is the third derivative of c**6 + o*c**2 + 2*c**2 - 4*c**6 wrt c?\nAnswer: -360*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1.435 - -1.435013231. Round z to 6 decimal places.\nAnswer: 0.000013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((p**1\/p)\/p)**(-5\/8)\/(p*p**(-3)*p**(-1\/4)))\/((p**(2\/7))**(-5))**(23\/2) assuming p is positive.\nAnswer: p**(1081\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(-1 + sqrt(68) + 1))**2.\nAnswer: 612","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 28781?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 8.67394 milliseconds?\nAnswer: 8673.94","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((g**(1\/4))**21*g*g*g**(-2\/7)*g*g**8)**(-5))**(-45) assuming g is positive.\nAnswer: g**(100575\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2976 and 16586592.\nAnswer: 514184352","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 138876?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5\/(25\/(-15))*8\/6?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 144000 to the nearest 1000.\nAnswer: 144000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36*s + 880 = q + 35*s, -3*q + 2645 = -4*s. What are the prime factors of q?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -945? (a) -3\/776 (b) -1\/6 (c) -3\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 16 - 14. Suppose -5*u + 22 = -z, k*u - 3*z + 2 = 4*u. What is the remainder when 10 is divided by u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -j - 4*f, -5*j - 2*f + 68 + 6 = 0. Solve -5*c + 1 = j for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 588 (base 10) to base 3.\nAnswer: 210210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -308287, -308267, -308247, -308227, -308207?\nAnswer: -308187","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -0*a - a. Let d(s) = 3 - s - a. Let p(r) = -1. Let w(v) = v + 1. Let t(z) = -p(z) - w(z). Calculate d(t(j)).\nAnswer: j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -13\/3, -2972, 4\/9, 3, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 1339, 2604, 3875, 5158, 6459, 7784, 9139?\n\"Answer: o**3 - 3*o**2 + 1267*o + 74","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 30*m**2*o**4 - 6*m**2*o**3 - 100*m**2 wrt o.\nAnswer: 120*m**2*o**3 - 18*m**2*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1802*x + 605*x + 592*x + 598*x.\nAnswer: -7*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -531*f - f**2 + 145*f + 146*f + 240*f.\nAnswer: -f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -879*x = 874 - 13180 for x.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1\/8 (b) 2\/21 (c) -771\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*i = 18*i + 4*v + 24, -i + 3*v = -5. Let u be 0 + (-8 + 5 + i)\/(-1). Sort -19, 0.5, u in descending order.\nAnswer: u, 0.5, -19","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = 2*v**3 - 4*v**2 + 4*v - 4. Let n be l(2). Solve 0 = -n*d - 4*f - 12 - 8, -2*f = 10 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(sqrt(80) + (3*sqrt(80) - sqrt(80)) + sqrt(80) + 3 + 3)*5)**2.\nAnswer: 19200*sqrt(5) + 131600","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 8328443*b*s + 4*b - 2*s**2 + 2914076 wrt s?\nAnswer: 8328443*b - 4*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -n**3 + 16*n**2 + 25*n - 144. Let f be r(17). What is the units digit of f\/44 - ((-29409)\/33 + 0)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.1 (b) -3\/4 (c) 1457 (d) -5 (e) -0.3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sum 161704141172 and -0.3.\nAnswer: 161704141171.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 384\/15 + -1 + 3\/(-5). Calculate the greatest common divisor of 12 and s.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -166 - -534. Suppose -3*c = 4*s + 77 - 292, 0 = 5*c - 3*s - b. Is c a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 109149829 to the nearest integer?\nAnswer: 478","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -7*o + 28. What is the hundreds digit of h(-14)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) be the first derivative of 0*m + 5\/18*m**6 - 4\/5*m**5 + 0*m**2 - 1 + 3\/4*m**4 - 2\/9*m**3. Solve a(i) = 0.\nAnswer: 0, 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -43216*f**5 - 339*f**3 + 3129*f**2 + 94*f + 77 wrt f.\nAnswer: -2592960*f**2 - 2034","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 773, 5889, 19557, 45995, 89421, 154053?\n\"Answer: 703*d**3 + 58*d**2 + 21*d - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = 6*y**3 + 17*y**2 - 698*y - 17. Let w(l) = -2*l**3 - 6*l**2 + 233*l + 6. Calculate 6*n(o) + 17*w(o).\nAnswer: 2*o**3 - 227*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -5 - -7. Suppose 2*s - n = -4. Is s != -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -79694 * 6\nAnswer: -478164","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 142647, 570626, 1283945, 2282604, 3566603, 5135942, 6990621?\n\"Answer: 142670*i**2 - 31*i + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -715a (base 14) to base 13.\nAnswer: -8b3a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000000928074 to seven dps.\nAnswer: 0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 24 + (-22 - -10) - 24.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7085 = -90*b + 635*b for b.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is a5752801 + -5?\nAnswer: a57527a7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 19171.94 hours to microseconds.\nAnswer: 69018984000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1127?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) be the second derivative of -i**4\/12 + 7*i**3\/6 + i. Suppose 5*g - 27 = 3. Let s be a(g). Calculate the greatest common divisor of 24 and s.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -1 - 24521?\nAnswer: -24522","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 70 - 12 + 2*z - 20 - 21 - 17.\nAnswer: 2*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w - 176 = 2464. Round w to the nearest one thousand.\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = s**3 + 3*s**2 + 3*s + 1. Suppose -y = 2*y + 9. What is n(y)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -2 + 1 - (-24)\/8. Suppose -3*y + 4*s + 10 = -4, y - n*s = 2. What is the least common multiple of 4 and y?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24 = -2*y + 74. What are the prime factors of y?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 119449 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: Suppose -54529476 = -12*l + 49616736. Let d be (-3)\/(-12) + (-165430810)\/8. Let a = d + l. What is a rounded to the nearest one million?\nAnswer: -12000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -230 + 213 - (-45 - 1 - -2).\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = 209*a**2 - 1. Suppose 110*x - 108*x - 2 = 0. Calculate the remainder when z(x) is divided by 53.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*z + 6 = -2*z, -4*r - 1 = -z. Which is greater: -2\/3 or r?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -4777 + 186293\/39. Let c = g - 67\/195. Which is greater: -2 or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2 by 234051.\nAnswer: -2\/234051","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = f + 7. Let x(i) = i**3 + 2*i - 5 + 5*i**2 - 8*i + 0*i**2. Let l be x(-6). Let v be p(l). Solve 0 = -5*n - v*b, -3*n + 3*b + 16 = b for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2766.\nAnswer: 2, 3, 461","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 115*p - 116*p = -166. Suppose 40*f - 39*f - p = 0. Calculate the remainder when f is divided by 8.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -3 + 2321?\nAnswer: 2312","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2 - -6. Suppose x = -f*b - 0*b + 91, -5*x - 2*b = -401. Is x a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -r**2 + 1. Let w(q) = 4*q**2 - q - 1. Let n = -175 - -174. Let a(j) = -4*j**2 + 1. Let k be a(-1). Give k*c(g) + n*w(g).\nAnswer: -g**2 + g - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -199, -3\/4, 0.101, 3, -0.04, 0.\nAnswer: -199, -3\/4, -0.04, 0, 0.101, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 n when three letters picked without replacement from nnnnmnm.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 4235703, 4235677, 4235637, 4235577, 4235491?\n\"Answer: -b**3 - b**2 - 16*b + 4235721","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 33273852?\nAnswer: 2, 3, 79, 35099","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = y**2 + y + 1. Let r be ((-8)\/(-10))\/((-2)\/(-5)). Let m(n) = -9*n**2 + 22*n**2 + 3*n - 18*n**2 + 5. Let i(l) = r*m(l) - 2*j(l). Factor i(x).\nAnswer: -4*(x - 1)*(3*x + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1568 = -20*f - 12188. Let m = -528 - f. Let x(r) = r**3 - 3*r**2 + 3*r + 2. Determine x(m).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2 - (-39)\/24) + 1\/24.\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((2*c**2 - 5*c**2 - 2*c**2)*(-3 + 1 + 1) + 4*c**2 - 6*c**2 + 3*c**2)*(1 - c - 1 + (3 + 1 - 6)*(247*c - 14463 + 14463)).\nAnswer: -2970*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 divided by -483?\nAnswer: -1\/161","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -0.2, 9, 0.1, 18?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 350?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = o**2 - 13*o + 10. Let l(h) = 30 - 34*h + 24*h - h**2 - 9. Let i be l(-11). Calculate z(i).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 61606?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let -4\/3 + 4\/3*g + g**2 - 4\/3*g**3 + 1\/3*g**4 = 0. Calculate g.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2981720 divided by -372715?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (2\/20)\/1 - 116\/(-40). Let g(u) = 34*u. Let j(w) be the third derivative of -7*w**4\/24 + 9*w**2. Calculate n*g(k) + 14*j(k).\nAnswer: 4*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 9618549 a multiple of 151?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express 28*i - 14 + 49*i - 68*i in the form z*i + u and give z.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n + 3 = -33. Let p = 20 + n. Calculate the greatest common divisor of p and 12.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4747a (base 11) to base 8.\nAnswer: -205544","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p - 1 = 1. Factor -3*l**p + 0*l**3 + 2*l**3 + 0*l**2 + l**2.\nAnswer: 2*l**2*(l - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3.014 - 0.014. Let c = 573 - 568. What is the nearest to -1.7 in 2, c, v?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 178 = -3*u - 5*t, -5*u + 2459029 - 2458964 = -2*t for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 1.511 * 0.3\nAnswer: 0.4533","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 867096 to the power of 1\/3, to the nearest integer?\nAnswer: 95","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(sqrt(17) - ((sqrt(17) - (sqrt(119)\/sqrt(7) - sqrt(17))) + 2)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 315 - 563. Let u = 158 + l. Let n be (-220)\/(-18) + 20\/u. Solve 0*f - g = f, -4*f - g = n for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 1\/12, 389, 19 in ascending order.\nAnswer: 1\/12, 1, 19, 389","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -131\/10614 and -17\/36.\nAnswer: 63684","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1077 is divided by 253.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2114.\nAnswer: 2, 7, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = 4*r**2 + 84*r - 34. Let f be l(-23). Suppose -6*q = -31*q + f. Solve 2*o - q = -0*o for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15157 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -6*z**3 + 54 - 528*z**2 + 1566*z**2 - 527*z**2 - 544*z**2 + 31*z + 7*z**3. Calculate v(32).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f - 8*f + 22 = 0. Suppose 23 = 5*k - 5*i - 42, f*i = 8. What is the second derivative of k*a - 91*a**2 - 8*a**4 + 91*a**2 wrt a?\nAnswer: -96*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 41 + -309. Let a = 22 - w. List the prime factors of a.\nAnswer: 2, 5, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1591 - 1603 - (1 + -1 + 1)?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 4774916?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*n + 116*n**2 - 126 - 4*n + 3*n.\nAnswer: 116*n**2 + 2*n - 126","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1189, 345, 1879, 3413?\nAnswer: 4947","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: What is 490 minutes before 12:35 PM?\nAnswer: 4:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + (-6 - -1 - (0 + -5)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = 4*q**2. Let d(c) be the first derivative of -c**2\/2 - 3. Determine b(d(z)).\nAnswer: 4*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 52 and 8.\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 468895, 937780, 1406665?\nAnswer: 1875550","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0 (b) 1\/5 (c) 21\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 951\/(-3170)*4\/(-9)?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) be the third derivative of -g**5\/60 + 11*g**4\/24 - 5*g**3\/3 - 8*g**2. Let m be l(10). Suppose m = -3*t + 2*t + 21. What is the tens digit of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -y + 1 = -0*y for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 5390 divided by 55\nAnswer: 98","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 32 divide 8672?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (29 + 9 - 105) + 28\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 796 and 0.9?\nAnswer: 716.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 84.2 + -84. Let o = k + -0.19999968. Round o to 7 dps.\nAnswer: 0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kkqnoqnqqqzqn. Give prob of sequence qqz.\nAnswer: 5\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 29904 + -25679. Calculate the least common multiple of u and 2925.\nAnswer: 38025","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:39 AM and 10:45 AM?\nAnswer: 546","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -1. Let k(p) = 2*p + 6. Let u(q) = 6*h(q) + k(q). Let r(n) = -2*n**2 + 3. Let b(v) = 5*v**2 - 5. Let a(w) = -3*b(w) - 5*r(w). Calculate u(a(f)).\nAnswer: -10*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -u**3 + 4*u**2 + 4*u - 10. Let t be x(4). Let b be ((-9)\/6)\/(t\/(-8)). Factor 0*c**4 + 6*c - 6*c**3 + 4*c**4 - 3*c**b - c**4 + 0*c**4.\nAnswer: 3*c*(c - 2)*(c - 1)*(c + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 3036.5 to the nearest one hundred.\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 8 and 18773688?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) be the third derivative of 11*l**6\/120 - 7*l**3\/6 - 10*l**2. Differentiate s(r) wrt r.\nAnswer: 33*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*u**3 - 1379*u**2 + 1486*u**2 + 1 - u - u to y*u + s + w*u**3 + z*u**2 and give z.\nAnswer: 107","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = 24*g**2. Let n(j) = -203*j**2 + 16*j. Let m(s) = -5548*s**2 + 438*s. Let i(o) = 8*m(o) - 219*n(o). Give i(q(d)).\nAnswer: 42048*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o + x - 2 = 2*o, 5*o = 4*x + 10. Find the third derivative of -45*t**3 + 32*t**3 - 28*t**3 + 2*t**o - 46*t**2 wrt t.\nAnswer: -246","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -41209, -329733, -1112863, -2637901, -5152149, -8902909, -14137483?\n\"Answer: -41217*u**3 - u**2 - 2*u + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s**6*s\/(s*s**7)*s**4\/s**(-8) assuming s is positive.\nAnswer: s**11","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 366097.481 rounded to the nearest 1000?\nAnswer: 366000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 7 - 5. Suppose -2*v = -6, -d*t - 2*v - 2*v = -36. 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: Let w(d) = d**3 - 4*d**2 + 2*d + 7. Let p be w(3). Suppose -673 = -p*j - 273. Calculate the remainder when j is divided by 34.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a decade in years?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 58235013?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 2\/99, 0, 1036581?\nAnswer: 1036581","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -44 and -7026?\nAnswer: 309144","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3 + 5 + 2*sqrt(425) - (-1 + (sqrt(425)*1*-6 - sqrt(425))))*-2*6)**2.\nAnswer: 116640*sqrt(17) + 4968864","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 7632620*g**5 - 2604896*g.\nAnswer: 152652400*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in 9\/8, -16, 2\/9, -7, 0.5, 3?\nAnswer: -16","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1132, 2264, 3396, 4528, 5660?\nAnswer: 6792","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -55b27 (base 15) to base 4.\nAnswer: -1002202000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0680758 - -415.7?\nAnswer: 415.6319242","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*x**2 - x**2 + x**2)*(-1 - 9 - 2)*(5*x - 2*x + x) + (-2*x - 4*x + 2*x)*(7 - 7 + 9*x**2).\nAnswer: 60*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26*u - 5*f + 82 = 22*u + 24, 3*u = 3*f - 33 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 1, i: 2, f: 1, x: 2, d: 1, b: 2}. Give prob of sequence dbb.\nAnswer: 1\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*u + 7*u - s + s + 2*s = -12, 4*s = -u - 15 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) be the first derivative of -18*h**2 + 111 - 16*h**2 + 19*h + 19*h**2 - 51*h**2. What is the first derivative of i(d) wrt d?\nAnswer: -132","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 20425880 is divided by 2466?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = 5*t**2 + 7*t - 2. What is the lowest common multiple of 4 and m(3)?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 437746 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: Which is the fourth smallest value? (a) -35 (b) 2\/13 (c) 3\/4 (d) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 35698689 to the power of 1\/2, to the nearest integer?\nAnswer: 5975","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -4 (b) 2\/3 (c) 4\/5 (d) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (w + 29*w**2 + 0*w**2 + 9*w**2)*(0*w + 2*w + w + (w + 4*w - 3*w)*(1 + 1 + 0) - w + 3*w - 5*w) to x*w**3 + z + d*w**2 + k*w and give x.\nAnswer: 152","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y + 14 = 4*o, 0 = -0*y + 2*y + 3*o - 43. Let t = -16 + y. Suppose -2*u - 583200 = t*u. Round u to the nearest one thousand.\nAnswer: -49000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -9 - -17. What is the lowest common multiple of (-33)\/(-4) - j\/32 and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -s**2 + s + 6. Let y be x(-2). Suppose -8*a = -y*a + 616. Let z = -75 - a. Solve 1 = d + z for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 37\/8 - (-81)\/216. Suppose t*d = 2*d + h + 16, 3*d - 2*h - 20 = 0. Solve -d*c - 3 = 13 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u + 2*u = 0. Let q = -560 - -2802\/5. Which is the nearest to u? (a) 1 (b) q (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 39.\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3 + 6. Suppose 6 = 3*a - x. Solve a*i = -0 + 6 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -36 - -39. Suppose -o*i = -5*i. Factor -1\/5*v**4 + i*v - 1\/5*v**5 + 1\/5*v**2 + 1\/5*v**3 + 0.\nAnswer: -v**2*(v - 1)*(v + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ohiboii. Give prob of sequence bh.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(1 + (sqrt(13)*-3)**2) + sqrt(91)\/(sqrt(70)\/sqrt(810)).\nAnswer: 9*sqrt(13) + 590","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = 6*y + 13. Let a(t) = t**2 + 6*t - 6. Let f be a(-8). Let c be o(f). Let z = c + -50. What is the tens digit of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 349 = -8*i + 405 for i.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2 (b) -17 (c) 766815 (d) 0 (e) 1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -47.03 + 47. Which is the closest to 0? (a) -2\/11 (b) k (c) 4 (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = a**2 + 11*a + 21. Let y be b(-10). Suppose 144889817 = y*j - 58570000. Let o = j - 37696347. Round o to the nearest one million.\nAnswer: -19000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c = 4*m, c = -m - 0 + 6. Suppose 172 = -5*b - o, -4 = c*o + 2. Is b at least -34?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-1 - 2) + 18\/(-6) + 141. What is the highest common divisor of p and 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is i in -3*i**3 - 3838887*i**2 - 1228085863785*i + 1228089702675 = 0?\nAnswer: -639815, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1.4 - -0.6. Which is bigger: x or -1?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:35 PM and 2:33 AM?\nAnswer: 298","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (v - 3*v + 3*v)*(-2 + 4 - 3) - 3*v + 4*v + v - 2 - 3 + 6 + 2*v.\nAnswer: 3*v + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = 2*d - 3*d + 0*d. Let l(h) be the first derivative of -h**3\/6 + 3*h - 1. Let f(x) be the first derivative of l(x). Determine f(c(j)).\nAnswer: j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 1 - -24?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 32 + -31. Let u = 14 + -10. Put q, -2\/27, u in increasing order.\nAnswer: -2\/27, q, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + -5 + 2*sqrt(19)*2 + (-4 + sqrt(475) + sqrt(475) + 1 + sqrt(475) - sqrt(475)) + sqrt(475) + sqrt(475)*2*4)**2.\nAnswer: -944*sqrt(19) + 66203","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3584948.\nAnswer: 2, 223, 4019","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 + (0 + 3 - 8) + 0?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -1 divided by -712\nAnswer: 1\/712","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 9\/6*2*(-3 - -4). Suppose -l + 4 = b*r, 4*r = -4*l - 4 + 36. What is the remainder when 269 is divided by l?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3*(15 + 9\/((-405)\/1140))\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 4017825 and 428400?\nAnswer: 1575","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -3105 divided by 135?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2519913 and 858363.\nAnswer: 627","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) be the second derivative of -11\/72*x**4 - 218*x + 0 + 8\/9*x**3 - 7\/3*x**2 + 1\/120*x**5. Determine o, given that u(o) = 0.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*y + 4*y + 12*y + y in the form g*y + p and give g.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.1 - -0.1. Let h = -0.015 + 2.715. Let w = h - 3. Which is the nearest to -1\/2? (a) w (b) 5 (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 4\/14*(8 + -1). Let v be (m\/4)\/(4\/(-8)). What is the tens digit of 5\/((-2)\/4 - v)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2436 and 6.\nAnswer: 2436","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*a**3 - 8*a**3 + 14*a**3 - 6*a**3 - a**3.\nAnswer: 9*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) be the second derivative of -7*w**4\/12 - w. Let c(v) = -175*v + 176*v - 1 + 1. What is c(z(a))?\nAnswer: -7*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -l**3 - 19*l**2 - 45*l + 39. What is i(-16)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = z + 7. Let f be t(-3). Let x be (-3)\/(-2) + ((-5)\/f - -2). Are 2 and x non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 49 + -48. What is the closest to -2 in 0.58, w, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*i + 4*p + 40 + 4, p - 17 = -i. What is the highest common factor of 16 and i?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -436892 or -436891?\nAnswer: -436891","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3 + -3. Let r = x + -0.2. Let h = 0.1 + r. Which is the closest to -0.1? (a) -2\/3 (b) h (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w - 2 = 3*c + 4, -5*w = -4*c - 11. Let f be c - (3 + -5)\/(-8). Sort f, 3\/2, -4.\nAnswer: -4, f, 3\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 419 - 218. Suppose -g + u = 2*g. Suppose 2*h = -3*f + g, -3*f = 2*f + 4*h - 111. What is the units digit of f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 21 + -75. Let l = f + 78. What is the remainder when l is divided by 14?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = 9 - 4 + 36*i - 40*i. Calculate n(4).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (5 + -8)\/(-3) - -2?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2576183 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert -16 (base 14) to base 13.\nAnswer: -17","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -2*f**2 - 4*f. Suppose 0 = o + 3*k + 2*k + 21, -o - 2*k = 6. Let r(s) = -s**2 - 3*s. What is o*r(t) - 3*j(t)?\nAnswer: 2*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -568758, -2.3, -4.\nAnswer: -568758, -4, -2.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 77 + -45. Suppose -3*x = d - 12, -2*d + x + a = 1. Suppose -j = 4*b - d, -4*b + 0*j + 3*j = -3. Solve -6 + 1 = y, -y + 7 = -b*f for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k and 1 b when two letters picked without replacement from {b: 5, u: 7, y: 3, k: 3}?\nAnswer: 5\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -120*k + 117*k - 2*y - 7, 27*k - y = 32 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i + 7*i - 65 = 0. Suppose 5*h + i = 3. Let j = 1.6 + 2.4. Which is smaller: j or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = 56*n - 68. Let q(f) = 5*f - 6. Let s(i) = 6*c(i) - 68*q(i). Suppose 0*m - 3*m + 6 = 0. Let l(j) = -3*j + 2*j + m*j. What is l(s(b))?\nAnswer: -4*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -14\/23 (b) -1806\/1297 (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 122\/(-60) + (-3330)\/(-99900).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 25235 is divided by 706?\nAnswer: 525","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 23\/138*(0 + -5). Suppose -5*n + 0 = -3*j - 4, 2*j + 4 = 4*n. Which is the third smallest value? (a) j (b) u (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -11*w**2 - 6*w. Let h be b(-7). Let j = h + 859\/2. Let g = -67 - j. Is 3 > g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = 44759*m + 2. Let n(l) = 11*l. Determine n(r(a)).\nAnswer: 492349*a + 22","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*j - 3*j + 5*f + 10, 4 = 4*j - 2*f. Let z be -1 + (-2 - (j - 2)). Let i be z - -3 - 2 - -12. Solve -3*l = l - i for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 800 is divided by 18.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1*63*(-8)\/(-72)*-5*1.\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m + 2*z - 439 = 4*z, 0 = -4*m + 5*z + 590. Calculate the remainder when m is divided by 49.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + -5*(-4 + (sqrt(425) + 2 + sqrt(425))*-5)**2.\nAnswer: -213476 - 7000*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 82\/165 and -43\/1135155.\nAnswer: 12486705","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -27*h**2. Let g(k) = 23*k + 4. Let q(s) = 29*s + 5. Let w(d) = 5*g(d) - 4*q(d). Determine w(y(t)).\nAnswer: 27*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6*-1)\/(65\/78*144\/(-560)).\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q - 12 = 8. Suppose 0 = 4*d + 2*z - 8, 4*z + q + 3 = 0. Calculate the highest common factor of 75 and d.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v + v + 3 = 0. Let j = 2 - 3. Which is the second smallest value? (a) 5 (b) v (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 69c - 2?\nAnswer: 69a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 1155 - -19?\nAnswer: 1174","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3676757?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-5387632)\/(-32))\/(28\/8 - 3) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 2, i: 8, r: 3, u: 3}. Give prob of picking 1 r, 1 u, and 2 c.\nAnswer: 9\/1820","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in 2\/23, -6\/7, -1, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -4*12\/120*(-1 + -1 + 1). Solve 28\/5*k**2 - 2\/5*k**5 + 12\/5*k**3 - m*k**4 + 6\/5 + 22\/5*k = 0 for k.\nAnswer: -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 49862\/31 - 1612. Let u = 2028\/589 + g. Let i = 3.5 + -3. Which is the closest to -0.1? (a) u (b) i (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1.1, 0.5, 0.15, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}