diff --git "a/data/dm_maths/full_data/2045_11255.jsonl" "b/data/dm_maths/full_data/2045_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data/2045_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: 6 + -13 + 6 + -4\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -30*i**2 - 1797*i - 3573. Calculate h(-2).\nAnswer: -99","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -25134, -25135, -25136?\nAnswer: -25137","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2*(4\/7)\/4. Let n = -1768 + 1771. Which is the nearest to r? (a) -1 (b) 2 (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2319674 divided by -1159837\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 90*a + 12 = 94*a for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 19\/4 of a minute?\nAnswer: 285","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -7, 447, 1731 in ascending order.\nAnswer: -7, 447, 1731","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 5, v: 4, u: 10}. What is prob of picking 2 v?\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from cgcggcccccgggcccgggc. What is prob of sequence cggg?\nAnswer: 77\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.7 and 5.\nAnswer: 4.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 95 and 1309575?\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence aoao when four letters picked without replacement from ooaoaaoaoa?\nAnswer: 5\/63","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 263 + 627. What are the prime factors of a?\nAnswer: 2, 5, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 172 + -24. Which is the nearest to -1? (a) 0.1 (b) -3 (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -37\/7550 and 13\/80?\nAnswer: 60400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 2654 a multiple of 108?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*d + 4*d - 5*y - 4 = 0, 5*d + 2*y = -22. What is the tens digit of (-2 + -7)*16\/d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 884054085?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = 3*p**2. Let o(i) = -53989*i. Give o(h(y)).\nAnswer: -161967*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.71 - 0.74. Sort -3\/10, c, 2.\nAnswer: -3\/10, c, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -195334 (base 10) in base 8?\nAnswer: -575406","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.2 and -4950?\nAnswer: -990","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 150 = 5*o - 5. Suppose -o = 3*s - 151. Suppose 3*m - 6 = -2*l + 34, 4*m + 2*l - 50 = 0. Calculate the greatest common divisor of s and m.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d = -y + 10, 3*d = d + 8. Let o(x) = -2*x**2 - 1 + 0*x**3 - 3*x + x**2 + y*x + 7*x**3. What is o(-1)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-20)\/160)\/(105\/(-20))?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.7 in 5, -0.3, -9.1?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2.538979 centuries to millennia.\nAnswer: 0.2538979","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1093?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) be the first derivative of -2*x**5\/5 - 107*x**4\/4 - 52*x**3 + x**2\/2 + 52*x + 5132. Let z(v) = 0. What is v?\nAnswer: -52, -1, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -60109, -60117, -60125?\n\"Answer: -8*z - 60101","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tt when two letters picked without replacement from thhthohptmpottot?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) be the third derivative of 4*r**6\/15 - 3*r**5\/20 + r**4\/24 + 7*r**3\/6 + 27*r**2. Is u(5) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1427*l**6 - 48*l**5 - 4*l**4 - 459569*l**2 - 2?\nAnswer: 171240*l**3 - 2880*l**2 - 96*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 99120 and 12.\nAnswer: 99120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1 times 7.5?\nAnswer: 0.75","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence px when two letters picked without replacement from lsxlnnsp.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = 4*p**2 - 1. Suppose 0 = -2*n - 2*n + 8. Let j be -3 + n\/((-2)\/(-2)). List the prime factors of s(j).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 9017 and 127.\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put 46826333, 0, 5 in decreasing order.\nAnswer: 46826333, 5, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 1534399 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -143*m - 143*m - 193*m**2 - 198*m**2 + 286*m.\nAnswer: -391*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -54a09 - -1531?\nAnswer: -53498","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:40 AM and 11:44 AM?\nAnswer: 244","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 21598844 to the nearest integer?\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 900 is divided by 415?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -2*j**2 + 2*j + 2. Give q(-1).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = v**2 + 9*v + 10. Let j = -13 - -5. Calculate the least common multiple of 16 and n(j).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29*o + 30*o = 4. Solve -2*w - 2 = -o for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 4 + (-1*4)\/(-2). Let f = 5 + -3. Suppose 5*l = f*l + 90. Calculate the greatest common factor of l and k.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*sqrt(1872)*-1.\nAnswer: 24*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 31 divide 1579?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 419 - 414. Suppose -5*q - 60 = -o*v, 3*v + q - 16 - 12 = 0. Let m = 33 - 10. What is the remainder when m is divided by v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 34 - 10. Let w be 10\/m - (20\/16 - 1). Let y = 458\/5 + -92. What is the smallest value in -0.1, w, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -5 (b) 440 (c) -2967\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 349, 1314, 2843, 4936, 7593, 10814, 14599?\nAnswer: 18948","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 687642 and 149079.\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1446, 1443, 1438, 1431, 1422?\nAnswer: 1411","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 2, c: 8}. What is prob of sequence bbc?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (-9 - (7 + (-2 - 7))) + 14?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(75) + (sqrt(75)*3)**2 + 2 + sqrt(75) - (2*sqrt(75))**2*2 - (-5*(sqrt(75)*2 + -4))**2*3) + 0.\nAnswer: -23623 + 6010*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 43129 is divided by 583.\nAnswer: 570","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: ((-50)\/25)\/(22\/2)\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1366 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -2507*-4\nAnswer: 10028","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.408447 or -0.058?\nAnswer: -0.408447","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*n**3 + 16492125*n**2 + 296857035*n + 1335854835 = 0. What is n?\nAnswer: -3298407, -9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -o**3 - 21*o**2 - 5*o - 586. Give a(-22).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 10 - 10. Factor x*v**3 - 2\/7*v**4 + 0 + 2\/7*v**2 + 0*v.\nAnswer: -2*v**2*(v - 1)*(v + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*n**3\/4 + 333*n**2\/4 - 222*n - 2268 = 0. Calculate n.\nAnswer: -4, 7, 108","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*r + 16*r = -140. Let h = r + -35. Factor -4 + 493*z**2 + 55*z + h*z**3 - 413*z**2 + 14.\nAnswer: 5*(z + 1)**2*(7*z + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:48 PM and 3:04 AM?\nAnswer: 376","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 778194334 a multiple of 194?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -6*n**3 + 2*n**2 - 8*n - 2. Let d be s(-8). Suppose d = 2*m - 8000. Suppose 4*b + m = -2489. What is b rounded to the nearest 100?\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r and 1 c when two letters picked without replacement from rcypryryrvvrvvpyvxvy?\nAnswer: 1\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7008320 is divided by 25?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 66*t = 68*t - 5*z - 40, 5*t - 100 = -3*z. Solve 8\/3*d + 0 - 44\/3*d**2 + 544\/3*d**4 - t*d**3 - 448\/3*d**5 = 0.\nAnswer: -2\/7, 0, 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -145.8 - -146. Which is the smallest value? (a) 0 (b) -2\/9 (c) g (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/(-14)*0*-1.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -12 - -18. Let q = -6.1 + c. Let r = q - -3.1. What is the second biggest value in r, -1\/2, -5?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -3*g - 11. Let i be y(-5). Suppose 5*j = 5*b + 35, -2*j + i*b = -2 - 18. Let c(a) = 20*a**2 - 15*a + 5. Is c(j) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-70)\/28)\/(5\/(-20)*-1).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*g - 300 = -6*m + 2*m, -506*g = -502*g + 5*m - 71 for g.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*y**2 - 2*y**3 - 5*y**2 + (-y**2 - 2*y**2 - y**2)*(-y + 4*y + 2*y) to the form k*y**2 + a*y + n + b*y**3 and give k.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -216, -281, -332, -363, -368, -341, -276?\nAnswer: -167","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -q**3. Let i(d) = -d**4 + 5*d**3 - 2*d**2. Let n be -4 - -3 - (4 - 0). Let c(x) = n*w(x) - i(x). Find the third derivative of c(t) wrt t.\nAnswer: 24*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = t**3 + t + 1. Let n(q) = 23*q**3 - 8*q**2 + 32*q + 26. Let f(r) = 15*r**3 - 5*r**2 + 21*r + 17. Let v(l) = 8*f(l) - 5*n(l). Give -6*k(o) + v(o).\nAnswer: -o**3 + 2*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5501*g + 16869*g + 13140*g.\nAnswer: 35510*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 + (-16)\/40)*(-50)\/20?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -4, -0.5, 61, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 5 + -683338?\nAnswer: -683333","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 2, z: 8}. What is prob of picking 2 l and 1 z?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 46\/(-102) - (-2)\/6. Let y be (0 - (-1 + 0))*-1. Which is bigger: y or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1051643?\nAnswer: 1051643","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide 7 by -1670.\nAnswer: -7\/1670","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2126 - 2242) + 20 + 3 - (0 + 11)?\nAnswer: -104","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4.9*-6.\nAnswer: -29.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -478*u = 139*u - 164*u - 16207434. 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 r in 3*r**3 + 72741*r**2 + 440027088*r - 11046187200 = 0?\nAnswer: -12136, 25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*-3*sqrt(504)\/sqrt(8) - (3 + sqrt(49)\/sqrt(7) + sqrt(7) + (sqrt(7) - (sqrt(7)*-1 + 1)))) + -1.\nAnswer: -31*sqrt(7) - 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from eqegqdegeeqeeeeqdee. Give prob of sequence dde.\nAnswer: 11\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 8075506 to the power of 1\/2, to the nearest integer?\nAnswer: 2842","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2.3 - -2.39. Let m = j - 0.19. Sort m, -5, 2\/9.\nAnswer: -5, m, 2\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 228408 (base 16) to base 13\nAnswer: 61279b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -x**3 - 7*x**2 - 5*x - 6. Calculate b(-8).\nAnswer: 98","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-9)\/12)\/((-3)\/(-144)). Let w = s - -30. What is the units digit of ((-726)\/44)\/(w\/8)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1047 - -1054. Suppose -26 = -5*y - 4*p, 0 = 2*y - 6*p + 2*p + 12. Sort -2, x, y, 5 in increasing order.\nAnswer: -2, y, 5, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -132677 or -1362?\nAnswer: -132677","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = x**3 - 19*x**2 + 18*x - 3. Let p be j(18). Let v(g) = 4 + 0*g**2 + g - 2*g**2 + 3*g**2. Calculate the remainder when 38 is divided by v(p).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -107*o + 3760 = -60*o. Calculate the remainder when o is divided by 6.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -15*s**2*v**3 - s**2*v**2 - s**2*v + 6*s*v**5 + 149*v**2 wrt v.\nAnswer: -90*s**2 + 360*s*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 996 and 235803?\nAnswer: 249","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 76400 = -827*d + 24299 for d.\nAnswer: -63","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 24 and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*d + 9*d - 20*d)*(-d + d - 2*d).\nAnswer: 16*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2.1 + -2.67. Which is the closest to -2\/9? (a) 3\/4 (b) -1\/3 (c) 4\/7 (d) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2 = -3*d - 5*h, 3*d + 4*h = 2*d - 10 for d.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x\/(x\/x**(-21)*x))\/x)\/(x\/x**3) assuming x is positive.\nAnswer: x**(-21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 1403404 (base 5) to base 4\nAnswer: 12332330","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 = -3*k - 5*w, w - 3 = -2. Solve o + 5*v - 18 = 0, 3*v - 20 = o + k*o for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 21246.\nAnswer: 2, 3, 3541","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -21166 (base 7) in base 14?\nAnswer: -1ca6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find r, given that -2*r**4\/21 - 60*r**3\/7 - 698*r**2\/21 - 288*r\/7 - 344\/21 = 0.\nAnswer: -86, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0 + 0 + j**2 - 2*j**2 - 2*j**2 + 6*j**2 + (-j + 4*j - j)*(6*j - j - 4*j) - 2*j**2 - 1 + 1 + 301*j - 2*j**2 - 13 + j**2 - 300*j.\nAnswer: 2*j**2 + j - 13","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 560063 to the power of 1\/10, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express -16*d**2 + 48*d - 48*d as m + x*d + c*d**2 and give c.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = 4*m**2 - 2*m + 2. Let n(q) = -20*q**2 + 11*q - 11. Let o(t) = 11*l(t) + 2*n(t). Let z(w) be the second derivative of -w**3\/2 + 5*w. What is o(z(v))?\nAnswer: 36*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1537984g in nanograms?\nAnswer: 153798400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 2006779 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express 0 + h**3 + 0 + (h + 8*h**2 + 0*h**2 + 3*h**2)*(-1 + 1 - h) in the form m*h + t + o*h**3 + c*h**2 and give o.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 7.5 + -7.427. Let u = 6.673 - z. Let t = -6.8 + u. Which is smaller: t or 1\/2?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7.428553ug in nanograms?\nAnswer: 7428.553","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve r = 87*b + 440, 30 = 4*r - 530*b + 528*b for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 6.2995 - 6.3. What is u rounded to four decimal places?\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = i - 4*i - 3. Let m be (-13 + 205)*(-1 - -2)*-2. Let q be ((-5)\/(25\/m))\/(i\/(-2500)). What is q rounded to the nearest 100000?\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) be the second derivative of -w**8\/2880 - w**7\/1512 + w**6\/1080 - w**4\/6 + w. Let g(d) be the third derivative of v(d). Factor g(z).\nAnswer: -z*(z + 1)*(7*z - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1242, 635, 32, -567?\nAnswer: -1162","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = 5 - 2*z + 12*z - z**2 - 1. What is the remainder when 4 + (3 - -72) + 2*-1 is divided by s(8)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jm when two letters picked without replacement from jmmmmjmmmjjjmjmmmm?\nAnswer: 4\/17","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -124 + 542 = 19*o. Solve -23*l - 1 = -o*l for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1176546.7 to the nearest one hundred.\nAnswer: 1176500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 9186.301ml?\nAnswer: 9.186301","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3 + 4. Let u be (49 - 6)*(v + 0). Is u != 43?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = 20*s. Give o(2).\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-16)\/(-20) - (-308)\/(-10). Let z be ((-1090)\/l)\/((-2)\/(-6)). Let n = 183 - z. What is the tens digit of n?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 696774?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -45536, -90817, -136098?\nAnswer: -181379","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 z and 2 c when four letters picked without replacement from vizvicoovvvvcczz.\nAnswer: 9\/1820","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 6 - -11668061?\nAnswer: 11668067","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:38 PM and 6:23 AM?\nAnswer: 585","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*j**2 + 0*j**2 - 6*j**2)*(328*j + 357*j - 646*j + 5).\nAnswer: -390*j**3 - 50*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 3367090589 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -35*r + 48*r - 40*r.\nAnswer: -27*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0, -71, 3, -8, 0.4?\nAnswer: -71","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.2? (a) -12 (b) 15584 (c) 2\/5 (d) -0.5 (e) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 8, 13, 2, -31, -92, -187?\nAnswer: -322","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 126, 173, 218, 261, 302, 341?\nAnswer: 378","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 5933 and 23749.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-4)\/(-3)*27*4\/16. Suppose u*p = -21 + 66. Suppose -k = 4*w + 7, 2*k + 2*w = 3*w + 13. Solve -4*b - p = -k*b for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v and 1 e when two letters picked without replacement from veemmeevvmv?\nAnswer: 16\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((150\/700)\/((-10)\/(-8)))\/(9\/(-30)).\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -61\/24600 and 119\/100.\nAnswer: 24600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = 763059 + w - w**2 - 763059. Let y = -2 - -3. Let u(j) = 1 + 3*j**2 - 4*j - 1. Give y*u(f) + 4*o(f).\nAnswer: -f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-5 - -4) + 805 + -3. Let x = j - 321. What is the units digit of x?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4147 is divided by 122?\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -1\/56, 2\/11, 23, 2?\nAnswer: -1\/56","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 times 105.2?\nAnswer: -526","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3410, 2881, 2352, 1823, 1294?\nAnswer: 765","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -62.1, 2316, 0.2, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express -6*n**2 - 431 + 431 + (7*n**2 + 35*n - 35*n)*(-1 + 1 + 1) + (4 - 3 + 5)*(-2*n**2 + n**2 - n**2) in the form i + r*n**2 + c*n and give r.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + ((-4)\/6)\/(160\/408).\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -6577 * -42\nAnswer: 276234","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from aayal. Give prob of picking 3 a and 1 y.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -i + 70 - 22. Is 9 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -52676 (base 8) in base 3?\nAnswer: -1010002222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 376753959 to the nearest integer?\nAnswer: 19410","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(-3*sqrt(11))**2 + sqrt(22)\/sqrt(2)*-5.\nAnswer: -594 - 5*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 34106 - 34021. Solve -49*t = -c*t + 180 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 v, 1 g, and 1 d when four letters picked without replacement from {v: 10, o: 6, d: 2, g: 2}?\nAnswer: 12\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert -560 (base 9) to base 16.\nAnswer: -1cb","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) be the first derivative of -b**5\/20 + 2*b**3\/3 - b**2\/2 - 9*b + 205. Let m(p) be the second derivative of t(p). Determine m(-2).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (180*s - 174*s + 1 - 159*s)*(2 - 4*s**2 - 2).\nAnswer: 612*s**3 - 4*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + sqrt(6)\/(sqrt(15)\/sqrt(180)) + (-2*sqrt(256))\/(2*sqrt(72) + sqrt(72) - sqrt(72)))**2.\nAnswer: 28*sqrt(2) + 473\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 + 1 = -c. Let b(i) = 9*i**3 - c*i**3 - i**3 + 5*i**3. What is the tens digit of b(1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -741*k*t**4 - 10568*k*t**2 - 2235*t**6 + 111*t**2 - 4*t wrt t.\nAnswer: -17784*k*t - 268200*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1423, 2847, 4271, 5695?\nAnswer: 7119","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 25733 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -2*s + 40. Let p be h(18). Suppose -q = p*m + 2*q, -5*q = 5*m. Suppose -6 = -2*g - m. Solve -g*x - 21 = 5*y + 13, 0 = 2*y - 5*x - 5 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find m such that 974 + 365 + 188 - 5*m**2 + 50*m - 207 = 0.\nAnswer: -12, 22","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vuhhgugvh. Give prob of picking 2 v and 2 g.\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xyl when three letters picked without replacement from ylliixixil?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -m - 319*l + 313*l + 147, -2*l + 39 = -3*m for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let 30*q**2\/7 - 52224*q\/7 + 22611072\/7 = 0. What is q?\nAnswer: 808, 4664\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -35\/198 + -1\/22. Which is the closest to -0.3? (a) -4 (b) g (c) 2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-68)\/11 + 10\/55 + 762. Calculate the greatest common factor of w and 36.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -337\/5*f - 3\/5*f**2 + 114 = 0. What is f?\nAnswer: -114, 5\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 899471227 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p + 382 = -3*y, -4*p = -0*y - 5*y - 612. Let d = y - -156. What is the remainder when 86 is divided by d?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 65*a + 876839 - 877879 for a.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*f**3\/9 + 152*f**2\/9 + 358*f + 1692 = 0. What is f?\nAnswer: -9, 94","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 17174 a multiple of 175?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -43*m - 1581. What is the remainder when 78 is divided by c(-37)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f + 2*k - 3 + 13 = 0, -3*f = -5*k + 7. Suppose 0*c = -c + 1. Let x(z) = 5 - 2 - 2*z + c + 3*z. Determine x(f).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express b + 0*b + 188 - 2*b - b in the form o*b + z and give o.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find w, given that -2*w**5\/17 + 2*w**4\/17 + 14*w**3\/17 - 26*w**2\/17 + 12*w\/17 = 0.\nAnswer: -3, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 4235 and 1037057.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 156 a factor of 9048?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2702.3 + 2935. Let p = o - 233. What is the nearest to -1 in -1, 2\/3, p?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = 2*s**3 + 13*s**2 - 6*s + 5. Determine o(-7).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*l + 2*l - 4*l)*(-1 + 99*l - 39*l - 1).\nAnswer: -300*l**2 + 10*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = t - 1. Let j = 0 + 1. Let x(b) = -5 - b**2 - 43*b + 2 + 44*b. Suppose 3*s = s - 2. Determine j*x(m) + s*f(m).\nAnswer: -m**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) be the first derivative of 2*q**5\/115 + 7*q**4\/46 + 26*q**3\/69 - 3*q**2\/23 - 36*q\/23 - 27. Determine s, given that c(s) = 0.\nAnswer: -3, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = 3*a - 2. Let f = 6 + -4. Let y be n(f). Suppose -z = y*z - 15. What is the units digit of z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -5022 + 5018. Let f = 5 - 4.6. Which is the third smallest value? (a) f (b) z (c) 5\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 85222.51km to nanometers.\nAnswer: 85222510000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -190 + 194. Let h(s) = 9126*s - 9126*s - m*s**2. Let j(u) = 4*u - 3. Let z(a) = -12*a + 8. Let n(w) = -8*j(w) - 3*z(w). What is n(h(g))?\nAnswer: -16*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -168*1.2\nAnswer: -201.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 49024.\nAnswer: 2, 383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*h + 5*h + 348. Let s = h - -163. Is s a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -4*r - 7 + 4*r + 3*r - 2*r. Suppose -3*i - 3*y + 7 = -2, 0 = -5*i + 4*y + 33. Suppose i*m + 2*g - 17 = 0, 0 = -m + 4*g - 5 + 26. Give d(m).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1499 not equal to -0.14?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.6342846 millennia in years?\nAnswer: 634.2846","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -126257 - 72820 = -2864*p - 102882 + 138653 for p.\nAnswer: 82","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -32, -40, -62, -104, -172?\n\"Answer: -y**3 - y**2 + 2*y - 32","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -53648*g**2 - 63230*g wrt g?\nAnswer: -107296","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -q**2 - 4*q. Let z be m(0). What is the nearest to z in 0.5, 2, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 8, 0, 77, 1.\nAnswer: 0, 1, 2, 8, 77","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1742294 is divided by 1310.\nAnswer: 1304","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-51)\/4998)\/((-2)\/(-14)).\nAnswer: -1\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -632448, -1264898, -1897346, -2529792, -3162236, -3794678, -4427118?\n\"Answer: a**2 - 632453*a + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 1, j: 1, z: 1, w: 1, o: 6, f: 1}. What is prob of sequence otj?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z = 3*z - 24. Suppose 6*m + 3*m = 198. Let n = m - -44. Calculate the greatest common factor of n and z.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 - ((-16)\/(-6))\/((-78)\/(-117))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -8*x**2 + 139*x - 448. Calculate l(3).\nAnswer: -103","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 19 - 9 - 9 - 2*y to the form t + r*y and give t.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:00 PM and 4:24 PM?\nAnswer: 264","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-9)\/30)\/(102\/85).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -3841 (base 9) in base 7?\nAnswer: -11242","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 + (-7 - -4 - -73) - -4 - 7.\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2422 and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k - 5*d + 36 - 451 = 0, 2*k + 3*d - 136 = 0. Suppose 2*n = -0*n + 298. What is the remainder when n is divided by k?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 30\/(20\/(-4))*12\/(792\/(-22)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z + 20 = -2*n + 4, 19 = -5*n + 3*z. Let u = 0.98 - 0.08. Let r = u + 0.1. Put n, r, -3\/2 in descending order.\nAnswer: r, -3\/2, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 707 and (-14 - (-23 - -7))*2222\/4?\nAnswer: 7777","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -363 - -283. Is z at least -81?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -15*c**2 - 9*c + 6.\nAnswer: -3*(c + 1)*(5*c - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00002345772 to 5 decimal places.\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*k**4\/21 + 10310*k**3\/21 - 1879600*k**2\/3 - 47915000*k\/3.\nAnswer: -2*k*(k - 2590)**2*(k + 25)\/21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 13 - 15. Let i(s) = -2*s**3 - 3*s**2 - 2*s - 3. Let u be i(q). Let x(h) = h**2 - 5*h + 2. Give x(u).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 70, -2, 4\/7, 1?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 16 and 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 2861431 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qqypqqyqyptyq. Give prob of picking 1 q and 1 y.\nAnswer: 4\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (3\/(-27))\/((-1)\/6)?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is (1474 - -44) + 2\/2*-1 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -35075630 rounded to the nearest 1000000?\nAnswer: -35000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 + 24*r**4 + 0 + 4*r**2 + 3 - 3 - 3 to the form h*r**2 + a*r**3 + f*r**4 + d*r + k and give k.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2117 - -4528. List the prime factors of q.\nAnswer: 2411","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) be the second derivative of -6*b**3 - 6*b. Let k be j(2). Let o = -18 - k. What is the remainder when o is divided by 14?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 11350 and 11350?\nAnswer: 11350","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -325717*i - 11613. Let a(x) = 505*x + 18. Give -3871*a(z) - 6*u(z).\nAnswer: -553*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w = -0*w + 108. What are the prime factors of w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(sqrt(28) + -1) - -1*sqrt(28)*3.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3180 - -3185. Let k be -1 - -2 - (1 - 1) - -35. Solve v*q + k = 14*q for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2*(-2)\/(-2) - 5. Let k be -5 + 1 - (1 + -2). Is k < l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) be the second derivative of -5*q**3\/2 + 11*q**2\/2 + 219*q. Let w(y) = y - 1. Let r be w(4). Let l(b) = 5*b - 4. What is r*g(h) + 8*l(h)?\nAnswer: -5*h + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(5*(sqrt(66) - (sqrt(66) + (sqrt(66) + sqrt(66) + sqrt(66)*3 + sqrt(66) + sqrt(66) - sqrt(66)) + sqrt(66))))\/(5*sqrt(30)\/sqrt(5)) + 1.\nAnswer: 1 + 42*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -s + 4. Let w be h(5). Sort w, 5, -3 in decreasing order.\nAnswer: 5, w, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10656.\nAnswer: 2, 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -136\/9 in -3, 2, -12?\nAnswer: -12","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 38*o - 9*o + 2*o to t*o + p and give t.\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -n + 20. Suppose 0 = -3*d + 4*d. Let z be y(d). Suppose -z - 5 = -5*a. List the prime factors of a.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 1, a: 2, i: 1}. What is prob of sequence aai?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = -7*c + 12. Suppose -5*k + c*x = -19, -k + 3*x + 18 = 4*k. Solve 0*j = k*j - 9 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*q + 3*q + 2*q)*(20 + 8 - 5)*(3 + 3 - 4 + (-5 + 3 + 1)*(1 - 1 - 1) - 1 + 2 + 1 - 2 - 3 + 4)*(4*q**2 - 4*q**2 + q**2).\nAnswer: 92*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t and 1 e when two letters picked without replacement from eememletx?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*p**2 - 160*p**2 - 112 + 53 + 59.\nAnswer: -148*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -345 - -335. Let o = 30 - z. What is the lowest common multiple of o and 10?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a + 11 = 3*m - 0*m, a = 2*m - 5. Let q = -1 - a. Suppose q = 7*v - 2*v. Solve -3*j = -5*r - 26, 3*r = -v*r + j - 14 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -11 + 20. Suppose 2*c - 3*r - 1 = 0, 2*r + j = 4*c - 5. What is the remainder when 17 - (2 + (4 - 3)) is divided by c?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 121\/12 and ((-8775)\/(-594) - 15)*(2 + 86\/(-12)).\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 111, 567, 1321, 2367, 3699, 5311?\nAnswer: 7197","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 8*f**5 - 1712*f**4 - 12278*f**3 - 21658*f**2.\nAnswer: 2*f**2*(f - 221)*(2*f + 7)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -269378 = -2*z + 10*y - 35*y, -404067 = -3*z + 5*y. Is z a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3520?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does -243140\/7 = -12?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h = 3*h - 5*g - 30, 5*h + 5*g = 40. Calculate the remainder when 66 is divided by h.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1\/758 + 761\/2274. Sort r, -5, 1\/4, -4 in decreasing order.\nAnswer: r, 1\/4, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*q - 17575 = 2*q. Suppose 0 = -y + 2*z - 7604, y = -z - q - 4083. What is y rounded to the nearest one thousand?\nAnswer: -8000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((6*-1*sqrt(152))\/sqrt(8)*-4 + -3)**2 - (1 + (-4 + sqrt(304) + sqrt(304) + -1*sqrt(304))**2 + -5).\nAnswer: -112*sqrt(19) + 10637","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4929128 is divided by 26080.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: Factor -u**5 + 13*u**4 - 6*u**3 - 320*u**2 + 800*u.\nAnswer: -u*(u - 10)*(u - 4)**2*(u + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 8167 - 16348 - 150*u + 8171 to c + j*u and give j.\nAnswer: -150","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 337 minutes before 10:40 PM?\nAnswer: 5:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.1 + -0.1. Suppose -3*t = -h + 11 - 0, 4*h - 16 = 5*t. What is the third biggest value in l, t, 5?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-198)\/(-363) + 6\/(-11).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2680468 is divided by 1340218.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.689 minus 0.4?\nAnswer: -2.089","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (sqrt(85) - -1*(sqrt(85) + sqrt(85) + -1*sqrt(85)) - sqrt(85) - sqrt(85))\/(sqrt(20)*-2)*-1.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.592377m in kilometers?\nAnswer: 0.000592377","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -12 + 4. Let t = 0 - w. List the prime factors of (6\/t)\/(1\/36).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 266 is divided by 69.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 9197000 rounded to the nearest 100000?\nAnswer: 9200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = 15 + 5*c**3 + 11 - c - 27. Let r be p(1). Solve -12 = -r*t - t for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n - 2*f - 6 + 14 = 0, 0 = -2*n - 2*f + 6. Suppose n*t - 8 + 4 = 0. Solve -t*d = -4 - 4 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -10*q**3 + 9*q**2 - 8*q + 10. Let m(y) = -y**3 - 3*y**2 - 5*y + 9. Let b(p) = p**2 + p - 2. Let f(z) = -4*b(z) - m(z). Calculate 18*f(d) + 2*l(d).\nAnswer: -2*d**3 + 2*d + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -62 = -4*m - 3*n, -44 = -2*m - m - n. Let j(y) = y**2 - 10*y - 3. Is j(m) a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 69411939*d**3 + 41363007 wrt d.\nAnswer: 208235817*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-11)\/(-286))\/(5\/(-30)).\nAnswer: -3\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 479041513121 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8\/96*-15*(-16)\/4.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 621*w**4 - 6955*w wrt w.\nAnswer: 7452*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i - 8 = 0, 3 = -h + 2*h - 2*i. Suppose 0 = -2*t + h + 3. Let k(b) = b**2 - 3*b + 9. Let c be k(6). Solve -t*w = -2 + c for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*((sqrt(228) + sqrt(228)*-3 - sqrt(228))*2)\/sqrt(12)*-2*4.\nAnswer: -240*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -7, -32 in descending order.\nAnswer: 2, -7, -32","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 546008020*u**2 - 3368*u + 7345?\nAnswer: 1092016040","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 105 divide 2625?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -9*t**2 - 46*t - 4. Let s be p(-5). Which is the smallest value? (a) 63 (b) 0 (c) -3 (d) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 143 + -109. What is the units digit of m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 35887639.\nAnswer: 173, 207443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 1, -0.4, -3, 18?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (16\/36)\/(2\/9). Suppose -z*y - 213 = -5*y. Suppose 0 = 75*k - y*k - 212. What is the units digit of k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -7\/52 + -3\/26. Which is the nearest to -1? (a) p (b) -2\/15 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2638 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0 + -1. Let k(x) = -3*x**2 + 2*x + 1. Let a be k(j). Is (2 + a - -3) + 15 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 46 + 255. Suppose -3*i = f - 0*f - n, -i = -3*f - 117. Suppose 0 = 7*t - 5*t - 5*r - 70, t = -4*r + 35. Calculate the remainder when i is divided by t.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 123 greater than 3544\/29?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = 61*y**3 - 5*y**2 + 10*y + 15. What is the units digit of l(5)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**(-5)*g)\/g**(-4)*g*g\/((g**(-2\/5)*g)\/g)*g**1\/g)**(-13) assuming g is positive.\nAnswer: g**(-156\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 357 - 5?\nAnswer: 352","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**(3\/7))**(-30))**(4\/19) assuming d is positive.\nAnswer: d**(-360\/133)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 5 - 5992291?\nAnswer: -5992286","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -4, -5, -2133 in ascending order.\nAnswer: -2133, -5, -4, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 3 + 12203132?\nAnswer: 12203201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3850472061?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 96 - 13 = -10*f - 17 for f.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -344 or 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.0712 - 226.4288. Let k = z + 227. Let f = 38\/15 - 11\/5. Which is the second biggest value? (a) k (b) f (c) -7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*q = -3*b - 6, 8 = 2*b - b + 4*q for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/((-129)\/(-2) + 0) - (92 + (-7975825)\/83850)?\nAnswer: 19\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1 + (-30 - -6)\/8. Let l(g) = -2*g**2 + 4*g + 3. Determine l(k).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3358\/11 - 50917\/154. Let o = i + 142\/7. What is the common denominator of o and 1 - 142*2\/16?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -125212508.84 to the nearest 1000.\nAnswer: -125213000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 111 + -75. Is 6 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z + 4*z + 1194 = 0. List the prime factors of z.\nAnswer: 2, 3, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 8\/5 + 24\/60. Suppose -6*d = -q*d - 20876. Is d a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 495456518 a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/11670220 <= -0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: Let b be 2\/(-5) + (-108)\/(-45). Let k(l) be the first derivative of -b - l + 1\/3*l**3 + 0*l**2. Differentiate k(m) wrt m.\nAnswer: 2*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i + 0 = -10. Let z be (0\/i)\/((-5)\/5). Factor -2\/7*f**2 + z + 2\/7*f**3 + 0*f.\nAnswer: 2*f**2*(f - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1939473517 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is b6f2 - -2d?\nAnswer: b71f","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c - 5*c = -4*o + 7, -5*c = -2*o - 19. Suppose 3 = -v, -c*v - 7 = -t + 3*t. Suppose t = 2*r - r. Solve -3 = r*h - 3*h for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 875 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: Find the second derivative of 2186*j**3 + 1143*j**2 + 3193*j - 1312.\nAnswer: 13116*j + 2286","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = m**3 + 9*m**2 - 7. Give z(-9).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 152037?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8811\/4005*-1*(-4)\/22.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 59427, 119090, 178753, 238416, 298079, 357742?\nAnswer: 417405","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3\/(-10))\/((-2241)\/7470).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 2 divided by 126937\nAnswer: 2\/126937","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 40165551.2 to the nearest one hundred thousand.\nAnswer: 40200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2 - 63\/(-36))\/(20\/(-1440)*4).\nAnswer: 9\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b - 3 = 4*i + 3, -18 = 2*i - 4*b. Let s(a) = -5*a**2 - a. Let v(l) = -11*l**2 - 2*l. Suppose -159*h + 43*h = -580. Give h*s(d) + i*v(d).\nAnswer: 8*d**2 + d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) be the second derivative of 0*z**2 - 17*z + 0*z**3 + 3\/4*z**5 - 2\/5*z**6 - 1\/2*z**4 + 0 + 1\/14*z**7. Determine l so that n(l) = 0.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 6 and (-5)\/2*8\/(2 - 4).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 154686 to the power of 1\/2, to the nearest integer?\nAnswer: 393","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -40 + 53. Let y = 12.53 - p. Let r = 0.37 + y. Sort -4, r, 1\/5.\nAnswer: -4, r, 1\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 - 4 + 5)*(2*h + 2*h - 14*h)*(-6*h + h + 2*h).\nAnswer: -120*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2 + (sqrt(63)\/((sqrt(90)\/sqrt(5))\/sqrt(2)) - (-4 + (-2*sqrt(14))\/sqrt(2))) + 1)*-4)**2.\nAnswer: 672*sqrt(7) + 1792","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 10.07*-0.4\nAnswer: -4.028","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -10, -3, 94 in descending order.\nAnswer: 94, 1, -3, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -5*b**2 - 2*b + 2. Let h(a) = -a**2 - a + 1. Let x be ((-6)\/((-6)\/2))\/2. Calculate x*r(l) - 2*h(l).\nAnswer: -3*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = 11*l**2 + 122*l + 1313. Give b(-10).\nAnswer: 1193","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 6\/175 + -573\/1400. Suppose 43 = -16*t - 21. What is the third smallest value in h, t, -10?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4916332, 4916372, 4916412?\nAnswer: 4916452","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Total of -471 and 24.54915.\nAnswer: -446.45085","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-3)\/(-6))\/(1\/4). Suppose -3*s - 23 - 1 = 3*q, s = -b*q - 13. Let l(g) = -g - 3. List the prime factors of l(q).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 0 + -1354?\nAnswer: -1354","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10 = 2*v - 12*v for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -779.3925 - 1.4?\nAnswer: -780.7925","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:56 AM and 6:00 AM?\nAnswer: 304","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -27, -30, -33?\nAnswer: -36","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1349*i + 1681*i = 10956 for i.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -495c78 (base 13) to base 11\nAnswer: -a99898","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 1671682 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1039168?\nAnswer: 2, 13, 1249","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = 5*p**3 + 3*p**2 - 4. Let k(w) be the second derivative of -9*w**5\/20 - w**4\/2 + 7*w**2\/2 - 13*w. Give -4*k(h) - 7*x(h).\nAnswer: h**3 + 3*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/5? (a) 3 (b) -5 (c) 2\/319 (d) 0.4 (e) -0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -63 - 39. Let m = o + 102.0047. What is m rounded to three decimal places?\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 63 and 504?\nAnswer: 504","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Divide -22808 by 6.\nAnswer: -11404\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Work out -4046 - -6.\nAnswer: -4040","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 3818487811 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -19*y**3 + y**2 - y. Let x = -247 - -248. Calculate u(x).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*d**5\/3 - 1445*d**4 + 4257290*d**3\/3.\nAnswer: -5*d**3*(d - 586)*(d + 1453)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10267666 - 10267666 + 10*p**3.\nAnswer: 10*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*w + 11*w = s + 320, 3*s - 1287 = -4*w. Is w a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = 62*c + 19. Let z be b(0). Solve 2*f = -4*v - 8, -124*f = -119*f - 3*v - z for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 13 and 1339?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 79727053 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 12340?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 113 (base 4) to base 10.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -13449 - -13449.30005. Let h = -0.2 + -0.1. Let b = h + p. What is b rounded to 4 decimal places?\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 112 - -121?\nAnswer: 233","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/8 - 225\/(-300).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(3) + -1)*-3 - 2*-1*sqrt(3))**2.\nAnswer: -6*sqrt(3) + 12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + -3*sqrt(5) + -1)**2.\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*a**5\/7 - 4708*a**4\/7 - 1163264*a**3\/7 - 11243212*a**2\/7 - 19015454*a\/7 - 8930800\/7 = 0 for a.\nAnswer: -2075, -269, -8, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -i**3 - 6*i**2 + 10*i + 12. What is t(-7)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1 and 3510.\nAnswer: 3510","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 316834.\nAnswer: 2, 7, 53, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -233*o - 2860 - 3674 = 1602 + 485 for o.\nAnswer: -37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2 - 8. Let g(n) = 3*n**2 + 2 - 2*n**2 - 5. Let y(j) = -2*j**2 + 7. Suppose 0 = 2*a + 2*w + 4 + 16, 3*w = -5*a - 58. Calculate a*g(z) + t*y(z).\nAnswer: -2*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*v**2 + v**2 + 10*v**2 - 4*v**2.\nAnswer: -2*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:51 AM and 5:36 PM?\nAnswer: 585","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/(-14)*(-4)\/(14\/(-7)).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 24 and 24.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 664 minutes before 4:49 AM?\nAnswer: 5:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.31 + 0.16. What is g rounded to 1 dp?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 30 + 10)*(-13 - 4 + 3 - u).\nAnswer: -40*u - 560","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*b - 45 = -4*w, -3*w + 3*b - 697 = -673 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = 5*c**2 - 175*c - 198. Let v(n) = -45*n**2 + 1575*n + 1785. Let h(p) = -55*m(p) - 6*v(p). Let h(l) = 0. Calculate l.\nAnswer: -1, 36","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -326 - -331. Sort 2, -1\/58, i in decreasing order.\nAnswer: i, 2, -1\/58","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 561 + -558. Suppose 0*k + 43407 = u*k + 5*n, k - 4*n = 14486. Is k prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4158223 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1487219?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3*q**5 - 4*q**5 + 3 - 3 - 2*q wrt q.\nAnswer: -140*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.387499 - 0.012483. Let x = 0.4 + w. What is x rounded to five decimal places?\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(192)*1 + (sqrt(3) - (sqrt(9)\/sqrt(3) + -4 - sqrt(3) - sqrt(3) - sqrt(3))))*-3 + 3)**2.\nAnswer: 594*sqrt(3) + 3348","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 16979 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 497*l**2 - 26*l**2 + l**2 + 97*l**2.\nAnswer: 569*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sum 11823511225 and -0.1.\nAnswer: 11823511224.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 456023765 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zh when two letters picked without replacement from {h: 1, m: 1, c: 1, z: 5, g: 3, k: 1}?\nAnswer: 5\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Add -13987.27 and 3.\nAnswer: -13984.27","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -19 + 4. Let g be 6\/v + ((-16)\/15)\/(-1). Suppose 1\/3*o**4 - 1\/3*o**2 + 2\/3*o**3 - g*o + 0 = 0. Calculate o.\nAnswer: -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 152 - 1680?\nAnswer: -1528","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -793*x**3 - 18*x - 1.\nAnswer: -4758*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i and 3 m when four letters picked without replacement from {i: 1, m: 11}.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 7685 and 1067055?\nAnswer: 145","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 112 is divided by (8\/(-12) - -1) + 340\/15?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -7 + 272d0?\nAnswer: 272c7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = 69*s. Let z(i) = 2*i - 12. Let x(o) = -2*o + 10. Let p(r) = -6*x(r) - 5*z(r). Determine u(p(v)).\nAnswer: 138*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-12 + (-1845)\/(-150))\/((-8)\/10)?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -29902 and 56915239.\nAnswer: 56885337","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12 - 23*r + 53*r**2 - 12 + 442*r**2.\nAnswer: 495*r**2 - 23*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 26570 + -13129. List the prime factors of h.\nAnswer: 13441","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -3*v - 1. Let t(f) = -97*f**2 + 19*f + 5. Determine 7*r(h) + t(h).\nAnswer: -97*h**2 - 2*h - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o = -2*o - 5*w + 14, 2*o - w + 16 = 0. Let a(b) = -4*b - b**3 - 8 + 0*b**3 + b - 6*b**2. List the prime factors of a(o).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 42, 790, 1538, 2286?\n\"Answer: 748*p - 706","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -44 - -46. What is the biggest value in f, 1\/9, -3\/2?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*d**2\/2 + 4633*d - 3089\/2.\nAnswer: (d + 3089)*(3*d - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 121118 + 85036 = -5286*v for v.\nAnswer: -39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -v + 2*v = -v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1281 is divided by 367?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.42, -4, 6, -1, 3.78, -2.\nAnswer: -4, -2, -1, -0.42, 3.78, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -1065*y**2 + 5*y + 1. Let d(k) = -16*k**2. What is j(d(p))?\nAnswer: -272640*p**4 - 80*p**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2 and 38.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v = 2*w + 10, 2*v - 5*w = 6*v - 27. Suppose -x - 2 = -4. Let q(g) = 5124 + x*g**3 + 7*g + 7*g**2 - 3*g**3 - 5120. Give q(v).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -7.1 + 7.0465. What is o rounded to three dps?\nAnswer: -0.054","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1454717 + -721983. Let h = -732733.230067 + w. Let u = h + -0.77. Round u to five dps.\nAnswer: -0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 16673 - 11773. What is i rounded to the nearest 1000?\nAnswer: 5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 58*x - 69465 - 38009. Does 8 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -58.981024 to the nearest integer.\nAnswer: -59","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((i*(i\/i**(-1\/6))\/i)\/i**(-8))**30)**(-44) assuming i is positive.\nAnswer: i**(-12100)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(1\/6))**(9\/7)\/(z**(-16\/5)*(z**(-22)\/z*z)\/z) assuming z is positive.\nAnswer: z**(1849\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve h - 2*b = 5, -1078*b = 6*h - 1074*b - 94 for h.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 352511 - -661589. Round h to the nearest 100000.\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (33\/(-77) + 16\/70)\/(-1).\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 2\/4*(-8835)\/90. Let f = p + 233\/6. Calculate the common denominator of f and -113\/90.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-4)\/12)\/(1\/3).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) 1.7 (b) -0.12 (c) -3 (d) 17.3 (e) -5 (f) 2.18 (g) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -f + 3. Let l be d(-3). Which is the nearest to -1? (a) 1\/6 (b) l (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -19*a**4 - 10*a**3 + 754*a**2 wrt a?\nAnswer: -456*a - 60","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*v**3\/3 - 32*v**2\/3 - 148*v\/3 + 176\/3 = 0. What is v?\nAnswer: -4, 1, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -55\/402624 and -65\/756?\nAnswer: 2818368","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -0.48 + 2\nAnswer: 1.52","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: (-17*(-32)\/(-2720))\/((-12)\/20)*288\nAnswer: 96","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -742 - -750. Suppose 6 = -2*c + 5*g, -2*c = -4*g + g + 2. Let j be (10\/(-25))\/(c\/(-30)). Do s and j have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/(b*(b*b*b**(-20\/3))\/b))\/(b**(-26\/9)\/b)*(b**2)**(-8\/15) assuming b is positive.\nAnswer: b**(382\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*t - 51 = -243. Calculate the remainder when t is divided by 19.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-13)\/36 + 148\/1332. What is the nearest to -2 in -1\/5, -8, -3, y?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 669 in 0, 3, -0.5?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from muuamwuuu. What is prob of picking 2 u, 1 a, and 1 m?\nAnswer: 10\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 13 + -4. Suppose -2*u + 0 = 2. Let c be -6*((-1)\/(-2))\/u. Solve z = -3*b - c for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 71*b**3*o*w - b**3*w**3 + 2*b**2*o*w**3 - 3*b*w**3 - 2*o*w wrt b?\nAnswer: 426*o*w - 6*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (55693*y**2 - 55693*y**2 - 212*y**4)*(-1 + 1 - y)*(1 + 0 - 3).\nAnswer: -424*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.0607 - -1062.0607. Let d = 1033.22 - v. Let o = -29 - d. Round o to two dps.\nAnswer: -0.22","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 75 - 76. Suppose 0 = -2*l + 5*v - 5, 4*l + 2*v = 5 + 21. Let x(w) = w**2 + w. Let u(b) = 4*b**2 + 5*b - 2*b + 2*b. What is l*x(j) + y*u(j)?\nAnswer: j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2*4\/32)\/(4\/(32\/4)).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((2\/4)\/((-2)\/(-292)))\/1. Let n = u + -73. Factor -3\/4*a + 1\/4*a**2 + n.\nAnswer: a*(a - 3)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -g**4\/3 - 2097092*g**3 + 29359337*g**2 - 308273210*g\/3 = 0. Calculate g.\nAnswer: -6291290, 0, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -137*y**3 + 9*y**2 + 3*y - 4. Let h(p) = p**3 - 3*p**2 - p + 1. Give 3*h(o) + t(o).\nAnswer: -134*o**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange h**4 + 0*h**4 + 5*h**4 + (2*h**3 - 4*h**3 + 7*h**3)*(0*h + 2*h + 0*h) to l*h + q*h**4 + x + t*h**3 + s*h**2 and give q.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 663863 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put -432, 1, 2, 0, 128 in descending order.\nAnswer: 128, 2, 1, 0, -432","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4\/10*270\/72?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1 + 6 = 5*d for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -39127300, -39127313, -39127338, -39127381, -39127448?\nAnswer: -39127545","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 179429 - 14460. Is p composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 30783?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 172832019?\nAnswer: 3, 47, 1225759","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 1026868 a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21*u - 113*u + 1406 - 394 = 0 for u.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 8\/(-5)*(-30)\/12. Solve t = 2*c + 2 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -2*j**3 + 130*j**2 - 2*j + 134. Give m(65).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -4, -1, 11, 8721?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00111493 to 5 decimal places.\nAnswer: 0.00111","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -878.37404 rounded to 1 dp?\nAnswer: -878.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 928 a multiple of 29?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 100344154513 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -4*w**2 - w + 1. Let p be o(3). Let t = 267\/7 + p. Let a = 25 - 25.4. Put 2\/7, a, t in increasing order.\nAnswer: a, t, 2\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1517301?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = 8*i**5 + 35*i**3 - 17*i**2 - 9*i + 17. Let p(q) = 3*q**5 + 12*q**3 - 6*q**2 - 3*q + 6. Let l = 21 + -4. Let a(d) = l*p(d) - 6*r(d). Factor a(b).\nAnswer: 3*b*(b - 1)**2*(b + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 7769 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8.431776g to tonnes.\nAnswer: 0.000008431776","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -l - 5 + 5. Let w be g(-2). Let m = 0 + -3. Which is the third smallest value? (a) m (b) w (c) 2\/15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 45 and 12435?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*h**5 - 4*h**5 + 3*h**5 + (2 - 2 + 2*h**4)*(4*h - 5*h + 0*h) + 2*h**5 + 0*h**5 - 4*h**5 - 3*h**5 - 52*h**4 + 52*h**4 - 2 - 3*h.\nAnswer: -8*h**5 - 3*h - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) be the first derivative of 5*g**5\/4 + 215*g**4\/12 - 15*g**3 + 3*g - 162. Let y(z) be the first derivative of l(z). Factor y(p).\nAnswer: 5*p*(p + 9)*(5*p - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 54414?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 224\/3 + 1\/3. Suppose -3*j + 45 = u, -5*u - 4 = 4*j - d. Let r be (12\/j)\/(45\/210). Solve -c - 15 = -r*c for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f = 4*f + 3. Let i(l) = -l**3 - 1. Let o be i(f). Solve 0*t**3 + 0 - 1\/3*t**4 + 1\/3*t**2 + o*t = 0 for t.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*u = -3*s + 29, 3*u + s - 1080 + 1092 = 0 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.01222598901 to 3 dps.\nAnswer: -0.012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:47 AM and 12:07 PM?\nAnswer: 620","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -13*j**5 - 1136008*j**4 + 363840*j**2 + j + 5 wrt j.\nAnswer: -780*j**2 - 27264192*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2145*t + 9210 - 47820 for t.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*y - 20 = -4*s - 0*y, -2*y = 0 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 65 - 63. Solve -2*b - t*o + 8 = -0*o, 8 = -4*b + 4*o for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 s, 1 p, and 1 j when four letters picked without replacement from esjps.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j - 5*l - 3128 = 0, 440 + 600 = j + l. Let v = j - 247. Suppose 6*o - v = 742. Calculate the greatest common divisor of 16 and o.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g - 5*p = -47, 2*p = 1 + 3. What are the prime factors of g?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 49004716.\nAnswer: 2, 61, 107, 1877","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -1106 divided by 21?\nAnswer: -158\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 12*j**2 + 24*j**4 - 47*j**3 + 43*j**3 + 165*j**4 + 3*j - 10*j**2 to l*j + p*j**3 + i + h*j**4 + b*j**2 and give h.\nAnswer: 189","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.58883g in milligrams?\nAnswer: 2588.83","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 34929342, 34929369, 34929420, 34929501, 34929618, 34929777?\nAnswer: 34929984","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:21 PM and 4:31 AM?\nAnswer: 490","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 32125749*v + 73408969 wrt v.\nAnswer: 32125749","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -z - 10. Let l be s(-7). Let b = -5 + 4.3. Let f = 0.3 - b. Is f smaller than l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3181?\nAnswer: 3181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -12, -37, -76, -135, -220?\nAnswer: -337","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) be the third derivative of j**6\/360 + 7*j**5\/120 + 5*j**4\/8 - 3*j**2 + 16. Let k(v) be the second derivative of l(v). Determine k(-10).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = 10*a**3 + 5*a**2 - 2*a - 2. Let y = 8 - 5. Is o(y) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = 37*f + f**2 - 4*f - 33*f. Let n(j) = -8468*j**2. Determine s(n(b)).\nAnswer: 71707024*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from pghghuupghhpuphuh. What is prob of picking 4 p?\nAnswer: 1\/2380","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(sqrt(200) - sqrt(8))*-6)\/(sqrt(64)*-1 + -2*sqrt(16)).\nAnswer: -3*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-21)\/(-14) + 15375\/(-2). Let v be a\/3*(-2)\/6. Suppose -2600 = -6*q - v. Is q a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -98*r - 560825 = -123*r. Is r a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l = -a - 75, 4*l - 2*a - 78 = -24. Let r = l - 7. Does 7 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 0.5, -3, 2, -82?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 12 + -28. Let k = f + 31. Suppose 2*y - 6*y + 20 = 0. Solve 4*u - 13 - y = -2*m, k = m + 5*u for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -128018, -256001, -383984?\nAnswer: -511967","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 6332, 25219, 56668, 100655, 157156?\n\"Answer: -4*b**3 + 6305*b**2 + 31","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-244)\/3050*(-20)\/((-2)\/(-1)).\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 28046 is divided by 23550?\nAnswer: 4496","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -t - 1. Let v be h(-1). Let u = 4 + v. Suppose 2*r - 34 = -u*p, -r = r - p - 19. Calculate the least common multiple of r and 10.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) 0.4 (b) -3\/5 (c) 5 (d) 2 (e) 461 (f) -13\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p = 4*p - 50. Let t be 568\/(-5) + (-4)\/p. Let j = t + 365. Is j a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 457441 is divided by 124.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 84\/70*(-220)\/6. Let t = k + 61. What is the least common multiple of 10 and t?\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-1)\/(-5)*3)\/((-77)\/(-55))\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 76 minutes before 7:30 PM?\nAnswer: 6:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -51 - 4412?\nAnswer: -4463","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-4)\/(-6) + (-8)\/18. Let m(v) = -5*v - 1. Let s be m(-1). Suppose s*h = -0*d - 4*d + 12, 4*h + 3*d = 10. Which is greater: j or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 58235259 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) be the second derivative of 0 + 5\/2*b**2 + 7*b + 7\/6*b**3. Differentiate r(z) wrt z.\nAnswer: 7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = 234*p + 17 + 239*p + 27 - 465*p. Calculate v(-9).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 4 + 16. Let d be 9\/((-27)\/h)*(-6)\/4. Let g be 8\/12 - (-292)\/12. What is the greatest common factor of d and g?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 90 and 74830?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 104 is divided by 28.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1700168674 is divided by 12?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -4 - 98*q - 3 + 80*q. Let b(x) = 73*x + 28. Let f(a) = -2*b(a) - 9*r(a). Find the first derivative of f(i) wrt i.\nAnswer: 16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*j + 6 - j**2 + 9 - 2*j**3 - 14 + 2*j**2 to the form k*j**2 + p + o*j + r*j**3 and give p.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -53 + 7*d + 53.\nAnswer: 7*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 26\/6 + -3*(-6)\/(-54). Suppose p*i = 6*i + 4. Let q be (-6)\/(i\/(12\/4 + 0)). Calculate the greatest common divisor of q and 27.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 286 minutes before 9:33 PM?\nAnswer: 4:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 464003 is divided by 57990.\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-70)\/(-20))\/(126\/207)?\nAnswer: 23\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 404002 - 0?\nAnswer: 404002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -13265 divided by 18\nAnswer: -13265\/18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 72443425 to the power of 1\/4, to the nearest integer?\nAnswer: 92","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: Let j = -23 - -19. What is the closest to 3 in 4, j, 1?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x - 23 = -4*a, 4*a + x - 8 - 3 = 0. Let y(p) = p**3 - 7*p - 86*p**a + 94*p**2 + 7 - 2*p**3. Determine y(7).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h = -3*g + 10, 3*g - 2 = -2*h - 0*h. Let v(u) = -u**2 + u - 3. Let x(w) = 4*w**2 - 5*w + 13. Determine h*x(a) + 18*v(a).\nAnswer: -2*a**2 - 2*a - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*k - 2*k + 8 = -4*t, -5*k = -5*t - 40. Solve -3*h + 10 = -2*v, 5*v + k*h = -4 - 0 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -19 - -13. Let r be (-4)\/q - (-592)\/3. Let t(o) = -3*o**3 - 2*o**2 + 2. Let d be t(-2). Calculate the highest common factor of r and d.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 24*r - 15*r - 2187. What is the second derivative of -r*h - 24*h**5 + 3*h**5 + 119*h + 94*h wrt h?\nAnswer: -420*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 28199 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 33044 + -32932. Calculate the highest common factor of 287 and p.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1377251 and 481?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(605) - (5 + sqrt(605)*-2)**2) + -2*(sqrt(5) + 0)**2*-4.\nAnswer: -2405 + 231*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -18 + 20. Suppose 9*z + 29 - i = 0. Let g = 9 - z. Calculate the least common multiple of g and 33.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9021585.\nAnswer: 3, 5, 601439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12232 is divided by 422?\nAnswer: 416","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 230 (base 9) to base 16.\nAnswer: bd","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -107672 - 138*w + 275*w - 138*w + 107731.\nAnswer: -w + 59","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) be the first derivative of -a**4\/16 + a**3\/6 + 7*a**2\/8 + a - 5. Factor q(r).\nAnswer: -(r - 4)*(r + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*c**3 + 16732 - 3*c - 2*c - c**2 + 0*c**2 - 16570 + 4*c as n + p*c**2 + h*c + q*c**3 and give q.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 24164.133 months to millennia.\nAnswer: 2.01367775","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 76488?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 99232 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -o + 2. Let v be r(0). Suppose -2*l = -v*m - 48, 2*l - 13 = m - 6*m. What is the tens digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 5107189098?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -8 + 24. Let j(y) = -y**3 + 5. Let n be j(0). Suppose 0 = -3*u - 5*a + 7 + 12, -2*u - a + 8 = 0. Solve s = 3*z - u*i + 2*i, 0 = 2*z + n*i - 5 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -1\/33918 and -55\/797073.\nAnswer: 1594146","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 120*z**3 - 57*z**3 + 367257*z + 367236*z - 59*z**3 - 734493*z.\nAnswer: 4*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 0.3, -10, 2\/79 in descending order.\nAnswer: 5, 0.3, 2\/79, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1676 + 82134\/49. Are a and -1 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -16*w**3 + 3*w**2 - 4. Suppose 2 = 6*u - 94. Let s = u - 18. List the prime factors of n(s).\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = d**3 - 19*d**2 - 40*d - 41. Determine g(21).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6679 + 1808 - 771 = 182*v for v.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 5*(3 - (0 - 2)). Find the second derivative of 12*w + 3*w - 13*w**2 - z*w wrt w.\nAnswer: -26","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = k**3 - 34*k**2 + 28*k + 145. Calculate i(33).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*o + 3*q - 3 = -3*o, q - 3 = o. Let h be (0 + -1)\/(o\/(-2)). Which is smaller: h or -3\/2?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-141)\/(-235))\/(1\/5). Let n(t) be the second derivative of -8*t + 1\/4*t**j + 0*t**2 + 1\/24*t**4 + 0. Find u, given that n(u) = 0.\nAnswer: -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 6900558 to the nearest integer?\nAnswer: 190","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 0 - -1311223331?\nAnswer: 1311223331","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 266 - (115 + -139 + 152)?\nAnswer: 138","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -23163 divided by -7721.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 6, w: 1, e: 2, j: 2, g: 4}. What is prob of picking 2 j?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6453*f + 2168*f + 2166*f + 2121*f.\nAnswer: 2*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l = -5*c + 10, -4*c + c + 6 = 0. Let j(h) = 0*h**2 + h**2 + l*h**2. Let u(y) = y. Give j(u(p)).\nAnswer: p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 723425.\nAnswer: 5, 19, 1523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-55)\/11)\/(-5)*-1)\/((-31)\/(-620))?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -1810*p**4 - 2104*p**3 - 2*p - 68257142?\nAnswer: -7240*p**3 - 6312*p**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -22 - -34. Let t = -2 - -14. Let h = t - y. Solve 4*g + 2*w + 20 = h, 2*w + 2 = 2*g - 0 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 + -233.3?\nAnswer: -241.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-31)\/(2976\/(-800))*3\/1?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 400 and 2888825?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by -379?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rririziiziizrzr. Give prob of picking 2 z and 2 i.\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = 3*a + 3*a + 4*a + 6*a - 14*a. Let g(r) = -23*r - 3. Calculate m(g(b)).\nAnswer: -46*b - 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 37*j - 47141 + 34942 = 286613. Is j a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 104 is divided by 29.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -293 and 1?\nAnswer: -293","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -60390, -60326, -60260, -60192, -60122, -60050?\n\"Answer: z**2 + 61*z - 60452","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2791538 to the nearest integer?\nAnswer: 141","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.269 in -3, -4, -2\/17, 63?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 13644261?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) be the second derivative of -r**7\/1400 + r**6\/600 + r**5\/50 - r**4\/10 - r**3\/3 - 6*r. Let l(c) be the second derivative of a(c). Factor l(y).\nAnswer: -3*(y - 2)*(y - 1)*(y + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.19 + -7.81. Let b = f - -7. Let n = -0.32 - -0.02. What is the closest to b in -2, n, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (2 - 4) + (-7 - -1) - (2171 + -2158)\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*g**2 + 706 + 6*g**2 - 677 as l*g**2 + s*g + o and give l.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -6565891*a**3 + 57915252*a.\nAnswer: -39395346*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25 - 28 = 3*u for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 188, 1768, 6052, 14390, 28132, 48628, 77228?\n\"Answer: 225*x**3 + 2*x**2 - x - 38","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -22 by -14.\nAnswer: 11\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 88530174977 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3 in -3\/2, -3, 4, -0.156?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 15944?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Are 135258 and 135298 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -2*o. Let k(y) = -168*y + 1. Give u(k(j)).\nAnswer: 336*j - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z = -f, 3*z + 0 = 5*f - 6. Suppose f*r - 34 = 4*d - 11, 0 = -r - 3*d - 1. Is r >= 5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -9 (base 12) to base 4.\nAnswer: -21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -9*b**2 + 13*b + 23. Let j(o) = 19*o**2 - 28*o - 52. Let y(k) = -3*j(k) - 7*w(k). Give y(-3).\nAnswer: 70","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (29*(-125)\/500250)\/(3\/36)?\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -11 - -15. Suppose -x = -2*u + 4, 37 = 5*w + 3*u. Suppose 5*j + 3*s = 4*s + 640001, -j + w*s = -128005. Round j to the nearest 10000.\nAnswer: 130000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 58468.\nAnswer: 2, 47, 311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 34 is divided by 12.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 293? (a) -1 (b) -1\/3 (c) 1 (d) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.62312 from -176925.9.\nAnswer: -176926.52312","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5172*f - 13121 + 26233 - 13112.\nAnswer: -5172*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q = 0, -8 = -2*v - 3*q + q. Suppose 5*c + y = 84, -v*y = -6*c + 9*c - 64. Calculate the least common multiple of c and 43.\nAnswer: 688","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 78237.\nAnswer: 3, 8693","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is d in d**5\/10 - 79*d**4\/10 + 2139*d**3\/10 - 21749*d**2\/10 + 25714*d\/5 - 3174 = 0?\nAnswer: 1, 2, 23, 30","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25*h**3 - 60*h**2 + 5*h + 30 = 0. What is h?\nAnswer: -3\/5, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 593 - 145. Is 6 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -38657, -77315, -115973, -154631, -193289, -231947?\nAnswer: -270605","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k + 1114 = 5*k. Let n = k - -187. Let o = n + -493. Is o a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 7, k: 5}. Give prob of picking 2 k.\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = j**3 + 4*j**2 - j - 3. Let p be v(-4). Let y = p + 9. Suppose y*g = 7*g + 807. Is g a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6961*a - 4044*a - 81584 = 402636 for a.\nAnswer: -44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -p + 1. Let u(n) = -n + 12. Let w(o) = 3*a(o) - u(o). What is w(-8)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 13122516?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 0.1, -1\/10, -1\/17?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2*-901.\nAnswer: -1802","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = t**3 + 4*t**2 + 4*t + 3. Let a = 6 + -4. Let o be a\/(-6) + 17\/(-3). Let x = -9 - o. Determine p(x).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 2061, 16499, 55685, 131991, 257789, 445451, 707349, 1055855?\n\"Answer: 2062*b**3 + 2*b**2 - 2*b - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*t - 58 - 9 - 10*t.\nAnswer: -2*t - 67","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-14)\/(-14))\/((-69)\/2553)?\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) be the first derivative of -a**4\/16 + a**3\/3 + 34. Suppose c(b) = 0. What is b?\nAnswer: 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in o**2 - 28034*o + 28034*o.\nAnswer: o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-4)\/10)\/((-18)\/135). Find the second derivative of 15*q + 49*q - 69 + 20*q**s + 2*q**4 + 70 wrt q.\nAnswer: 24*q**2 + 120*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate 145 + 89676.28118.\nAnswer: 89821.28118","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 5 + -1. Suppose -4 = 4*s - w*z, 3*s + 2*z = 4*z. What is the common denominator of 31\/2 and (6\/(-16))\/(s + 4)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*s**4 - 36*s**2 + 11*s**2 - 2*s**4 - 1 + 108*s**3 - 103*s**3 + 4*s**4 to i*s**3 + d*s + g*s**2 + y + h*s**4 and give i.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 2759?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 16992 a multiple of 96?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jrrq when four letters picked without replacement from rjqrqjqjjqjj.\nAnswer: 2\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 28 - 55\/2. Let o(q) = 0 - 3 + 3 + 2*q. Let p be o(-1). Which is the second smallest value? (a) p (b) -0.4 (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = u**3 + 8*u**2 + 10*u + 21. Let a be x(-7). Suppose a*q - 5*r = q + 1057, -q = -2*r + 1029. Is 6 - 10 - -5 - (q + -1) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (33 - -1) + (-1997 - -2006)?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -16 + 328. Is i a multiple of 39?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 76\/90 + (1 - (-7)\/(-5)). Suppose 4*i - i = -30. Let s be (-1)\/5 - (-8)\/i. Is s < f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 506640*z + 266142 wrt z.\nAnswer: 506640","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.3 and 0.117.\nAnswer: -0.183","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -286, 1, -6, -1 in descending order.\nAnswer: 1, -1, -6, -286","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 4, x: 8, y: 8}. What is prob of picking 2 y and 1 x?\nAnswer: 56\/285","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -1.7 and -1136236.6?\nAnswer: 1136234.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 25334 is divided by 206.\nAnswer: 202","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ffij when four letters picked without replacement from fuujfuiu.\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*c*u**3 - 2*c - 52293*u**6 + 23605*u**2 wrt u.\nAnswer: -12*c - 6275160*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 803218 - 804397 = -131*f for f.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 0, -199, -3 in ascending order.\nAnswer: -199, -5, -3, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6686 is divided by 19.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 10*((-2)\/1)\/(-4). Suppose -6 = -c*o + 4. Suppose -t + o*t = 1, 5*t - 5 = -3*y. Put 4, y, -4 in decreasing order.\nAnswer: 4, y, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 770.98 + -771. What is the third smallest value in s, 0.4, -60?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 400643 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s + 5*s = -45. Let t = -45 - s. Suppose g + g - 118 = t. What are the prime factors of g?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from sss. What is prob of picking 2 s?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put -3948, 25, -2 in increasing order.\nAnswer: -3948, -2, 25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert -a73a62 (base 13) to base 10.\nAnswer: -3921218","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p\/p**(-37))\/p**28 assuming p is positive.\nAnswer: p**10","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 34232 and 1144.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = 4*r + 17. Let x be h(-10). Let n = -16 - x. Suppose -108 = -n*c + 60. Is c a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 4.05 - 4.35. Which is the second biggest value? (a) p (b) -1\/11 (c) -1\/4 (d) 1\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x + 149 = l, -2*l - 4*x = -331 + 27. Suppose 0 = -34*b + 21*b + 182. Let h be 3*(-231)\/(-18)*8\/b. What is the greatest common divisor of l and h?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -h**3 - 2*h**2 + 2*h + 1. Let s be f(0). Let x(q) = 24*q - 2 + 26*q - 50*q + 14100002*q**2. Let c be x(s). What is c rounded to the nearest 1000000?\nAnswer: 14000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 3, t: 4, y: 3, v: 1}. Give prob of sequence yvy.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/7 equal to 57.2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -431009*w - 3113. Let a(z) = -277*z - 2. Determine -3113*a(h) + 2*p(h).\nAnswer: 283*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 8 - 6.4. Let z = -6.2 + 5. Let k = d + z. Which is the closest to -1? (a) k (b) 2 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) 0.4 (b) -2 (c) 52\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-14)\/4*(-4)\/28.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 2, -331.\nAnswer: -331, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -19 + 23. Suppose l - 2*z - 39 = 0, -199 + 43 = -r*l + 3*z. Is 31 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 2042720?\nAnswer: 2, 5, 17, 751","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 d and 1 r when three letters picked without replacement from drrrrrrrrdrdrrrrdrrr.\nAnswer: 8\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -32109180 divided by 172630.\nAnswer: -186","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o + 564 = -a + 192, 3*o = -2*a + 279. Let x = 208 - o. What is the hundreds digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 24\/(-15) + 4\/(-10). Let p be (-12 - -2)*1\/h. Solve -25 = -2*r + p*t, 2*r + 2*t + 6 + 4 = 0 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -56334 - 606?\nAnswer: -60243","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = 4*a - 3. Let x(f) = 0 - 1752*f + 1759*f - 5. Let o = -10 + 15. Let g(y) = o*m(y) - 3*x(y). Let b(k) = 14*k. Give b(g(z)).\nAnswer: -14*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.4? (a) -0.7 (b) 0.0102 (c) 1\/5 (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -28 - (24 + (13 - 43)).\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -427*r - 423*r + 844*r.\nAnswer: -6*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 669 minutes after 5:39 PM?\nAnswer: 4:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*c - c - 5*c)*(255 - 59 + 244 + 41).\nAnswer: -962*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2 + 2. Let n(s) = -s**3 + 4. Let l = 25 - 5. Calculate the least common multiple of n(p) and l.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 175557 is divided by 2975?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10 + (-11 + 12 + 9 - 5).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 63876 and 42564.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 453 and -0.4?\nAnswer: -181.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10664\/744 + 5\/3?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = 3*v**2 + 5 + v**3 - 3*v**2 - 3. Let j be s(0). Find the third derivative of -f**5 + 0*f**j + 2*f**2 - f**5 wrt f.\nAnswer: -120*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-40075560)\/2240)\/(-243) + (-6)\/(-16).\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) be the third derivative of -19*q**4\/24 + q**3\/3 - q**2 + 17. Let h(i) = 4*i. Give h(p(d)).\nAnswer: -76*d + 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 25\/5821512 and -16\/95897.\nAnswer: 98965704","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 34186 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s - 3 = -28. Let d(l) = l**3 - 5*l**2 + l - 4. Let w be d(s). Solve -m - k = -w, 0*m = -2*m + k + 5 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -15*w*y**3*z**3 + 5*w*y**3*z**2 + 552*w*y*z**3 + 2*y**2*z**2 wrt y?\nAnswer: -90*w*z**3 + 30*w*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -3382.82 times -15?\nAnswer: 50742.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2229 - 2229 + 156*h to the form k*h + s and give k.\nAnswer: 156","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 1, o: 1, l: 2, m: 2}. Give prob of picking 1 o and 1 c.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 10456762 (base 8) to base 4\nAnswer: 20211313302","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-33)\/374*-1*4\/3.\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(77) + sqrt(77))*2 + -6*1*sqrt(77))\/(sqrt(11) + sqrt(44)\/(sqrt(64) - sqrt(4)) + sqrt(11) - sqrt(528)\/sqrt(3)).\nAnswer: 6*sqrt(7)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 311 + -308. Let f(i) = i**3 - i**2 + 9*i - 40. Let l be f(n). Solve 0 = -0*m + l*m - 15 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = d**3 - 6*d**2 - d + 35. Let m be a(4). Let j(s) be the first derivative of -5\/2*s**4 + s + 1 - 1\/3*s**3 + 0*s**2. What is j(m)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14556595 to the power of 1\/7, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -69, -216, -469, -834, -1317, -1924, -2661, -3534?\n\"Answer: -r**3 - 47*r**2 + r - 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -2*d**2 + 2*d + 1. Let r(z) = -z**2 + 1. Let s(o) = c(o) - 6*r(o). Does 10 divide s(4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 163*p - 327 - 977 for p.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 3443171 (base 8) to base 13\nAnswer: 269aa0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*v**2 + 12*v + 16 = 0. Calculate v.\nAnswer: -1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put 403, 2, -3, -6, 5 in ascending order.\nAnswer: -6, -3, 2, 5, 403","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -16, -13, -6, 5, 20, 39, 62?\n\"Answer: 2*z**2 - 3*z - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 91 divide 431689895?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.95 + -79.05. Let k = 1667802 + -1667721.9653. Let y = k + p. Round y to three decimal places.\nAnswer: 0.035","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -83\/3824 and 143\/1434?\nAnswer: 11472","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 2496 a multiple of 96?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.7 + -1. Let n be 50\/(-25)*(-1)\/(-6)*(305 - 347). What is the second smallest value in b, 3, n?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -403*y + 218*y = -207*y. Let j be 1\/4 - (-39)\/(-60). What is the closest to -0.1 in y, j, -0.01?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2469 a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 122 a factor of 623542?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 190165 to the nearest integer?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v + 19 = 5*y, -5*v = -y - 3*y + 11. Suppose -3*k = -a + 481 - 87, -y*k + 748 = 2*a. Is a a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xs when two letters picked without replacement from gxgmmxxxgxxsxg.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 41\/44470 and -33\/35576?\nAnswer: 177880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 4*((-1)\/(-1) - 0). Suppose 3*u - 19 = -c. Let l = -9357 + 9360. Put l, -3, 4, u in ascending order.\nAnswer: -3, l, 4, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 589 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 446 a factor of 170818?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -34 + 30. Put 4, s, -1, -6 in increasing order.\nAnswer: -6, s, -1, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:41 AM and 2:22 PM?\nAnswer: 401","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 34\/12 + (-1)\/24*-4. Let i(f) = f - 1. Let a be i(1). Sort a, -3, u in decreasing order.\nAnswer: u, a, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 515 divide 165341?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.02091*-0.85.\nAnswer: -0.0177735","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -228, -733, -1512, -2565, -3892?\n\"Answer: -137*x**2 - 94*x + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/(2\/(-16)*-4).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 42482 and 44.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*c + 2*l + 34 + 6, c + 2*l = 14. Differentiate -33*x**3 - 22*x**3 + c + 73*x**3 wrt x.\nAnswer: 54*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.347 + 0.053. What is the nearest to -5 in 0, g, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36*w + 20*w + 272 = 0. Suppose w*i + 73914208 = 2123208. What is i rounded to the nearest 1000000?\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (1*32)\/((-6)\/(-3)). Let y = -13 + a. Suppose -y*z = -c + 2*c - 193, -5*z - 5*c = -305. List the prime factors of z.\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -293900 * 0.168\nAnswer: -49375.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) be the second derivative of n**6\/6 - 3*n**5\/4 + 5*n**4\/4 - 5*n**3\/6 + 4*n. Factor y(x).\nAnswer: 5*x*(x - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kn when two letters picked without replacement from {n: 2, t: 1, k: 2, s: 1}.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 3 - 9?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:55 AM and 3:48 PM?\nAnswer: 473","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put -140, -3, 9659, 5, -19 in descending order.\nAnswer: 9659, 5, -3, -19, -140","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hhhhhhhxhhhhhxshxhhh. Give prob of sequence sh.\nAnswer: 4\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t = -t - 8. Let q(i) = 9*i**2 + 9. Let y be q(t). Suppose -3*a + 4*o = -103 - y, -2*a = 5*o - 140. What is the greatest common factor of 16 and a?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = 133552 + 2*a - 133552. Let p(r) = -7*r**2. Give p(v(f)).\nAnswer: -28*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f*f**(-1))**24*f**(-1)*f*f**(2\/3)\/f*f*(f\/(f**(-1\/3)\/f))\/f*f*f*(f*f*(f**(-5)*f*f*f)\/f*f*f)\/f*(f*f\/f**(-2\/7))\/(f*f\/f**(2\/9)*f) assuming f is positive.\nAnswer: f**(221\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 345 and 1630.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -m**3 + 3*m**2 - m + 4. Let p be 0 - (-6 + 5 + -1). Let j be z(p). Let l(x) = x**2 - 7*x - 5. What is l(j)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:39 AM and 3:01 AM?\nAnswer: 142","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express -480 + 11*j**2 - 21*j**2 + 6*j**2 + 3*j**2 as q*j**2 + a*j + o and give o.\nAnswer: -480","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-1 - -6) + (-2)\/(-2). Suppose 13 = 27*f - 68. Solve -4*b = c - k, -3*c + 11 = f*b + 2*b for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor g**2\/4 + 107*g\/4 - 109\/2.\nAnswer: (g - 2)*(g + 109)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -c**3 + 13*c**2 - 8*c + 17. Let z be k(12). Suppose 1 = 3*b - z. Calculate the smallest common multiple of b and 14.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = v**3 + 3*v**2 - 6*v - 6. Suppose 8 + 0 = -2*m. Let s be b(m). Suppose -s*d + 38 + 16 = 0. Calculate the greatest common divisor of d and 108.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3 (base 6) to base 13.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 - (-9 + 1) - 9?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 74 + -74. Suppose a = m + 2, -3*z + 3*m + 522 = z. What is the hundreds digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -34*j**4 + j**2 + 34*j**4 - 4 - 53*j**6 - 18*j**6 + 3*j**3 wrt j?\nAnswer: -8520*j**3 + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -709, -2767, -6179, -10957, -17113, -24659, -33607?\n\"Answer: -2*n**3 - 665*n**2 - 49*n + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(156) + 2*sqrt(156))*-4)\/(sqrt(1200)*-2).\nAnswer: 3*sqrt(13)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/10 of a kilometer in meters?\nAnswer: 1100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 9520 and 509660?\nAnswer: 14270480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is z in -2*z**3 - 197668*z**2 - 2174154*z - 4743504 = 0?\nAnswer: -98823, -8, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5721191 is divided by 972.\nAnswer: 971","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of f**2*m**3 + 11*f**2*m - f**2 + 10*f*m**4 + 14*f*m**2 + 2*f*m wrt m.\nAnswer: 6*f**2*m + 120*f*m**2 + 28*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -10*g**3 - 112*g**2 + 139*g + 17. Give l(-12).\nAnswer: -499","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 707 minutes before 2:11 PM?\nAnswer: 2:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h + 12 = 84. Let d = -8 + h. Calculate the smallest common multiple of d and (1\/(-2))\/(4\/(-80)).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 9272 and 152.\nAnswer: 9272","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d = 5*h - 3*h + 6, -4*d - 7 = 3*h. Let l = 1.3 - 1.6. Let y = -0.5 - l. Which is the second smallest value? (a) y (b) -5 (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cr when two letters picked without replacement from brwycyv?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -3*f + 3*r + 10, 0 = 5*f - 2*r - 27. Suppose -4*p = -3*h - 11, 5*p - 3*h + 1 = 11. Put -3, p, f in increasing order.\nAnswer: -3, p, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 54191500 is divided by 13.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*m = -4*w - 56, -10 + 12 = -5*m - 3*w for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (220\/(-54) - -2) + 2. Let x be (-2)\/8 - ((-102)\/40)\/3. Which is the second smallest value? (a) x (b) 5 (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 14636 + -14631. Let v(p) be the second derivative of -1\/6*p**3 + 1\/80*p**r + 0 + 1\/24*p**4 + 24*p - p**2. Determine h so that v(h) = 0.\nAnswer: -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 181 - 121. Let h = i - 35. What is the highest common divisor of h and 50?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -38 divided by 2?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -1ab3 - 1?\nAnswer: -1ab4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 253 - 3685 = -c + 4*d, 3*c - 10241 = d. What is the hundreds digit of c?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 177 = 5*i - 2*c, 4*c + 52 - 153 = -3*i. What is the lowest common multiple of i and 130?\nAnswer: 910","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -1260*o + 61182. Calculate q(45).\nAnswer: 4482","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*y**3 + 27566*y**2 + 4816524*y.\nAnswer: 2*y*(y + 177)*(y + 13606)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 20085?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 16637 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 417483980.\nAnswer: 2, 5, 191, 293, 373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -3371856, -13487423, -30346702, -53949693, -84296396, -121386811, -165220938?\n\"Answer: -3371856*f**2 + f - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -56 + 146. Suppose h - 207 = -4*c, h + 180 = 5*c - l. Let m = c + 34. Is m prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -o. Let h(d) = d**2 - 4. Let l(v) = 3*v**2 - 11. Let b(i) = 11*h(i) - 4*l(i). Give q(b(j)).\nAnswer: j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -q**3 - q**2 - q. Let h(a) = 7*a**3 + 15*a**2 + 5*a + 5. Calculate h(z) + 5*p(z).\nAnswer: 2*z**3 + 10*z**2 + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 59\/712 and 40\/1083.\nAnswer: 771096","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = c**3 - 7*c**2 + 7*c - 5. Let f be u(6). Let k = -0.02 - 0.08. Let p = 0 + k. Which is greater: f or p?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 - 342*u + 42*u**3 + 342*u)*(-3*u + 1 - 1) as i*u**4 + k*u + p*u**3 + s*u**2 + y and give k.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -7095624, -14191255, -21286886, -28382517, -35478148?\nAnswer: -42573779","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4 + 6)*1*-1?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13 + -10 + -3 + -4 + 0?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h + 5*h - 2888 = -3*k, -2 = -k. What are the prime factors of h?\nAnswer: 11, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 294\/10 - (-4)\/(-10) is divided by (-45)\/(-8 + 5) + 0.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -10617 + 10751. Suppose -w - 60 = 2. Let o = i + w. Does 12 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3.46 * 76136.\nAnswer: 263430.56","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) be the second derivative of r**3\/2 - 16*r**2 + 5*r. Let o be u(17). Is 19 not equal to o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 744724151?\nAnswer: 17, 1877, 23339","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w - 15 = -9*w. Solve 0 = -w*y + 4 - 16 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2 - -6 - (6 + -8)) + -2.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s = s. Suppose 3*a - 5 = 5*u, -u + 3*u + a = 9. Suppose s = -u*i + 1 + 127. What is the remainder when i is divided by 22?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.03946864 rounded to 3 dps?\nAnswer: -0.039","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00614727957 rounded to 4 dps?\nAnswer: -0.0061","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 606900 to the power of 1\/3, to the nearest integer?\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1158 is divided by 576.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 1 (b) 0.02 (c) -9 (d) 2\/83 (e) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/(-1 + (-3 - 6 - -9))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a - 5*v - 466 = 0, 2*a = -11*v + 12*v + 941. Suppose -4*z + 1991 - a = 0. What is the lowest common multiple of z and 4?\nAnswer: 380","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) be the first derivative of 0*f**2 + 0*f - 1\/72*f**6 + 15 - 5\/24*f**4 + 1\/12*f**5 + 7*f**3. Let w(y) be the third derivative of p(y). Factor w(a).\nAnswer: -5*(a - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2960334335?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y = -4*y + 6. Let f be (-1)\/(2 - 3) + y. Suppose -b - f*o = -2*b + 37, b + 4*o - 37 = 0. Is b a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor u**2\/4 - 21125*u\/2 - 211350.\nAnswer: (u - 42270)*(u + 20)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -125 - -284. Round w to the nearest 10.\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2*-58.\nAnswer: 116","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = 4*m**2 - 1. Let t(z) = -3*z**2 + 2*z + 6. Let j(r) = 7*r**2 - 4*r - 13. Let w(s) = -4*j(s) - 9*t(s). Let f be w(-1). Let v be q(f). Sort -4, 6, v.\nAnswer: -4, v, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -401, -398, -395, -392?\n\"Answer: 3*p - 404","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7709*v + 209 = 7728*v for v.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = 3557*s - 7077. What is d(2)?\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 213267?\nAnswer: 3, 71089","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 754.2790731 rounded to the nearest ten?\nAnswer: 750","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1477 - 1475. Suppose 0 = -67*x + 68*x - 7. Solve -p + 15 = 5*r + d, -3*r + x = p for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 2445, 18125, 60263, 142089, 276833, 477725?\n\"Answer: 2205*s**3 - s**2 + 248*s - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 22 - 12.5. Let y = 27 + -24.8. Let t = w - y. What is t rounded to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*i - 30 = 8*i. What is the tens digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 50, 1, 10 in decreasing order.\nAnswer: 50, 10, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 1, o: 14, l: 2, h: 1, i: 1}. What is prob of picking 2 l?\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -64*r - r**2 + 61*r + 0*r**3 - 2*r**3 - 2 - 6*r**2 to k*r**2 + s*r**3 + i*r + g and give g.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 8 + -6. Let b(r) = -r. Let l be b(0). Let j = c + l. What is the units digit of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -901, -3554, -7941, -14056, -21893?\n\"Answer: y**3 - 873*y**2 - 41*y + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 303 - 318. Let g(n) = -n**3 - 16*n**2 - 14*n + 13. Give g(r).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2347, 9392, 21115, 37504, 58547, 84232, 114547?\nAnswer: 149480","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1254 + -1253. Which is the smallest value? (a) 52 (b) 1\/5 (c) -3 (d) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 42 - 41.89. Let i = 6.9 + -7.016. Let f = i + n. Round f to two dps.\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*x - 5*x - 654 = 0. Suppose 204 - x = -5*v - d, -4*d - 111 = -v. Is v a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.079 - -0.279. Sort -2, s, -0.05.\nAnswer: -2, -0.05, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = b**2 - 8*b + 5. Is z(10) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b + 14 = 11*b. Let r be (19*(2 - -2))\/2. Let u = r - 20. What is the greatest common divisor of u and b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.7 - -1. Which is the closest to -0.1? (a) j (b) 0.4 (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = 4*a - 43. Let h(q) = -q**2 + 378*q. Determine h(z(d)).\nAnswer: -16*d**2 + 1856*d - 18103","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -533 divided by -118\nAnswer: 533\/118","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -16\/5 (b) -0.4 (c) -1\/3 (d) 320\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -149\/72 and 61\/27.\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11 - -101001000?\nAnswer: 101000101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n + 86 = 5*l + 2*n, 2*n = -6. Suppose -7*f = -3*f - l. Suppose -246 = -f*c + c. What is the tens digit of c?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1*(1 + 0)*(60 + -45). Suppose 4 + 11 = 3*g. Solve -g*k - 11 = 2*h + p, 4 = -4*k + 4*h for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.065 from -8188.\nAnswer: -8187.935","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.35968 rounded to three decimal places?\nAnswer: 0.36","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (-1 + 19)*(-502)\/1506\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 a when three letters picked without replacement from zaaazaazaz?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*g**4\/5 - 636027*g**3\/5 - 33705455271*g**2\/5 + 573157482279*g\/5 - 202297611042 = 0 for g.\nAnswer: -106013, 2, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g + 520 = -724. Let c = -1079 - g. What is c rounded to the nearest one hundred?\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i - 9 = -i - 3*h, 15 = 5*i + 2*h. Suppose -v = -i*o - 3, -24 + 9 = -5*o. Let s be (-3)\/(v\/(-16)) + 10. What is the highest common factor of 14 and s?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = 19*t**3 + 3*t - 2389. Let x(m) = -48*m**3 - 7*m + 4781. Determine -5*w(l) - 2*x(l).\nAnswer: l**3 - l + 2383","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j - 8*z = -3*z + 387, 192 = 2*j - 2*z. Calculate the remainder when j is divided by 14.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 8.3 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000004837 to 7 decimal places.\nAnswer: -0.0000048","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (-4)\/6*(-116)\/(-12760)*132\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 12794, 12795, 12796?\n\"Answer: s + 12793","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: (-15 + (15 - -46) - (-4 + -5 - -6)) + 0\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:14 PM and 3:22 AM?\nAnswer: 428","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 289.202 - -0.798. Let x = 289 - b. Which is bigger: x or -103\/5?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h + 3*s + 17 + 52 = 0, -9 = 3*s. Let l be 13\/4 + 1\/(-4). Solve -h = 4*t - r, 5*t + 6 = -2*r - l for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 44\/(3520\/30)*1\/(342\/24).\nAnswer: 1\/38","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sum 13.127436659 and 26.\nAnswer: 39.127436659","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 154 - 58. Let y = q + -102. What is the smallest value in y, 0.3, -2\/11?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 11\/7, 0.5, 109, 3, -0.3, -5.\nAnswer: -5, -0.3, 0.5, 11\/7, 3, 109","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: Is 659717467 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -15*z**3 + 6 + 16*z**3 - 2*z**2 + 0*z - 4*z**2 + 3*z. Determine g(5).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (sqrt(450) + sqrt(450)*-1)**2.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1 - 1 - 2*v**2 + (-265*v - 146*v + 821*v)*(v + 2*v + 2*v).\nAnswer: 2048*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1501 and 15563.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 453703 + -3?\nAnswer: 453700","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = 6*p**2 + 4*p + 6. Let d be z(5). Suppose 0*o = 11*o - d. What is the highest common divisor of 48 and o?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -51*u**3 - 44. Let j(w) be the second derivative of 5*w**5\/4 + 11*w**2 + 10*w. Let d(c) = -7*j(c) - 4*l(c). What is the derivative of d(t) wrt t?\nAnswer: 87*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -344 + 346. Suppose -13 = -c*d - 17. Put d, 4, 0.05 in decreasing order.\nAnswer: 4, 0.05, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 551706 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -10 and -10.\nAnswer: 100","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2629 or 18400\/7?\nAnswer: 18400\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 2, u: 3, c: 4, q: 2}. What is prob of sequence qrq?\nAnswer: 2\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 28454 is divided by 10?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 712840 is divided by 12082?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3012772496 to the nearest integer?\nAnswer: 1444","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h - 5*h = -4. Let p be 3\/h - (-2)\/(-2). Suppose 123 - 119 = 2*s. Calculate the greatest common divisor of p and s.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -102.65 rounded to the nearest 10?\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 37863?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -14*143\/(-91) + -18. Let x = 239\/5 + -48. What is the closest to -2 in 0, x, j?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) be the third derivative of -113*s**6\/120 - 5*s**4\/6 - s**3\/6 - 45*s**2. What is the second derivative of n(a) wrt a?\nAnswer: -678*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-2\/11)\/(u**(1\/4)\/u))\/((u\/(u**0\/u))\/(u*u**(1\/2)*u))*u*u**(-1\/10)*u\/(u**(1\/3)*u)*(u**(-2\/3)\/u)**(-12\/19) assuming u is positive.\nAnswer: u**(33701\/12540)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 572 minutes before 2:43 PM?\nAnswer: 5:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r = -4*y + 1140, -91*r = 2*y - 95*r - 588. What is the greatest common factor of 531 and y?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 50*m - 46*m = -4*f + 4972, 5*f - 3715 = -3*m. What is the remainder when m is divided by 114?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -358 - -4297\/12. Let r(w) be the second derivative of t*w**4 + 5*w + 0 + 5\/2*w**2 + 2\/3*w**3. What is r(-4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4945 to the power of 1\/2, to the nearest integer?\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -41026437 or -41026439?\nAnswer: -41026439","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -28 + 2 + 21 - 24.\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 112613 - -17.2\nAnswer: 112630.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) be the first derivative of -63*h**5\/25 + 132*h**4\/5 - 75*h**3 + 132*h**2\/5 + 36*h + 168. Let f(n) = 0. Calculate n.\nAnswer: -2\/7, 2\/3, 3, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 25433.37um?\nAnswer: 2.543337","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 863.1984 to the nearest 100.\nAnswer: 900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 233165 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -16 divided by 65137\nAnswer: -16\/65137","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 5057 - 5054. Solve 2*x = -g*u - 11 + 13, -4*u + 5*x - 28 = 0 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -6146694, -12293403, -18440108, -24586809?\nAnswer: -30733506","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 + 3*j + 24*j**3 + 18*j**3 - 68*j**3 + 24*j**3 as v*j**2 + r*j**3 + c + o*j and give r.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 161847 and 1323.\nAnswer: 441","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 370699 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/(36\/(-14))*6\/42?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 192? (a) 0.05 (b) 5 (c) -3\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -12558, -25113, -37668, -50223, -62778, -75333?\n\"Answer: -12555*h - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -42\/41165 and -14\/245215.\nAnswer: 2018855095","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -30*r + 7. Let f(n) = -5*n + 1. Let k(l) = 3*d(l) - 21*f(l). Let c(t) = t**2. Calculate k(c(o)).\nAnswer: 15*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express (-5 + 2*a + 1 + 3)*(5*a - 2*a + a) as w + r*a**2 + k*a and give k.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -164 = 2*n - 1772. Suppose -a = a - n. What is the tens digit of (4\/12)\/(404\/a + -1)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2 + -2 + 144 + -1. Let x = -7 - m. What is the tens digit of 20\/(12\/x*-5)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-87*b + 36*b + 43*b)*(0*b + b + 4*b + (4*b + 2*b - 3*b)*(1 + 0 - 2)).\nAnswer: -16*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 72, -48, -254, -552, -948, -1448, -2058, -2784?\nAnswer: -3632","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 91 and 299767?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*t**5 - 2*t**5 - 2*t**5 + 2*t**5 - t**5 + t**5 + (0 + 0 + t**4)*(2*t + t + t).\nAnswer: 5*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 101 divide 327220?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c - 20 = 4*b, -6 = -c + 4*c. Let q be ((-18)\/20)\/3*2. Sort b, q, 1\/2, -1\/6 in descending order.\nAnswer: 1\/2, -1\/6, q, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 39 - 69. Let l = q - -90. Suppose 5*r = -137*x + 139*x - 44, -3*x - 2*r = -66. What is the lowest common multiple of l and x?\nAnswer: 660","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let g = 6.8 - -1.2. Which is the third smallest value? (a) -2\/9 (b) g (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y\/y**(-25))\/((y\/(y**(-22\/5)*y*y))\/y))**32 assuming y is positive.\nAnswer: y**(3776\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 84*w**2 + 110*w**2 + 100*w**2 - 265*w**2.\nAnswer: 29*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*h - 10 - 22. Does 2 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 246 minutes after 12:42 PM?\nAnswer: 4:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is eight thirds of a decade in months?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 854 = -99*u + 1799 + 1827. Let l(v) be the first derivative of u - 3\/2*v**2 + 1\/4*v**3 + 9\/4*v. Let l(j) = 0. Calculate j.\nAnswer: 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 3 + 4 + -2 + 26. Put -3, i, -4 in ascending order.\nAnswer: -4, -3, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-24)\/(-15)*13\/((-26)\/45). Is i greater than -398\/11?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b = -4 + 16. What is the common denominator of -25\/4 and 267\/b*2\/4?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k - 120579 = -4*d, 13*k - 12*k = 4*d + 40177. Is k prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -8*k - 3*k**3 + 6*k**3 + 2*k**3 + 12*k - 3. Let b be m(2). What is the highest common divisor of b and 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (9 + 17 - 2)*(-2*z + z + 3*z)*(28*z**3 + 12*z**3 + 12*z**3) in the form t*z**3 + a*z**4 + k*z + i + v*z**2 and give a.\nAnswer: 2496","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 26\/111252981 and 37\/333758943?\nAnswer: 333758943","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -746*m + 26455 = 54803 for m.\nAnswer: -38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:27 PM and 1:48 AM?\nAnswer: 681","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 5.6 (b) -10 (c) 3 (d) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2 + -5. Let z = 0.04 - -2.96. Let s be (((-21)\/(-18))\/(14\/(-42)))\/(-7). Which is the closest to s? (a) z (b) v (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ylt when three letters picked without replacement from ltsototoyyooytlt?\nAnswer: 1\/112","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 387 is divided by 18?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = 128*a**3 - 256*a - 48. Let x(t) = t**3 + 2*t + 1. Let w(z) = -k(z) - 48*x(z). Find the second derivative of w(c) wrt c.\nAnswer: -1056*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) be the second derivative of -a + 0*a**2 + 2\/3*a**3 + 0. Determine p(-1).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is eighteen fifths of a litre in millilitres?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -2*d**3 - 5*d**2 + 3*d + 1. Let r(n) = n**2 - 9*n - 45. Let f be r(12). Is z(f) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i + 30 = -4*i. Let k be (-2)\/10 - (-246)\/30. Let h = i + k. What is the greatest common factor of 5 and h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 10511730 and 180?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 291504 to the power of 1\/2, to the nearest integer?\nAnswer: 540","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 23*s**3 - 3*s - s - 14*s**3.\nAnswer: 9*s**3 - 4*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 1, -20, 4, -1.\nAnswer: -20, -5, -1, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of y**6 + 2749*y**5 - 174*y**3 + 33301*y**2 + 45.\nAnswer: 120*y**3 + 164940*y**2 - 1044","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 36*w - 19*w - 20*w + w**4 - 1 to the form o + f*w**3 + t*w + u*w**2 + n*w**4 and give u.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 1, x: 2, d: 1, u: 4}. Give prob of sequence du.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 143, 297, 461, 641, 843?\n\"Answer: q**3 - q**2 + 150*q - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 170 - 164. Suppose l + 35835 = n*l. Is l composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 + 9\/(-5))*(-1970)\/(-3152).\nAnswer: -7\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -n**3 + 7*n**2 + 2*n - 8. Let r be g(7). Let q = -37\/6 + r. Let w be 294\/441*(-3)\/(-4). What is the closest to 1 in -0.5, w, q?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (r - 3 + 3)*(-16 + 2*r - 6 - 11) + 2*r**2 + r**2 - 4*r**2 + (-4*r + 5*r + r)*(0*r - 5*r + 4*r).\nAnswer: -r**2 - 33*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 5984 divide 3338526117?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -99\/1444 and -73\/284126.\nAnswer: 10796788","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = 5*r**2 + 3*r - 15. Let n(z) = z**2 - z - 1. Let i be (1\/(-2))\/(2\/4). Let h(v) = i*d(v) + 6*n(v). Let a be h(7). Which is greater: a or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 138666 = 138668?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*w - w + 3*r + 20, w = -r - 10 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 11 + (2\/13 - (-42)\/910)*5. Let x be (-1)\/(1\/(-54) + 0). Calculate the greatest common divisor of x and m.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 140, 274, 408, 542?\n\"Answer: 134*v + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*d - 3*n - 311, 4*n + 147 = -4*d - 97. Let b = -54 - d. Let j(h) = 14*h**2 + 0*h + 0*h - 16*h**2 + b. Let a(i) = -1. Determine 8*a(c) + j(c).\nAnswer: -2*c**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 242605.8mg to grams.\nAnswer: 242.6058","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3446, 6906, 10364, 13820, 17274?\nAnswer: 20726","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -108 - -100.3. Let r = 2.7 + x. Let t = 0.6 + -0.8. Which is the closest to -2? (a) t (b) r (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 148360 a multiple of 30?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6397?\nAnswer: 6397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -3*r - 21. Calculate the least common multiple of b(-11) and 28.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) be the second derivative of r**3\/3 + 5*r**2\/2 - r. Let p(k) = -k + 4. Let b(q) = -1. Let x(u) = 6*b(u) + p(u). Calculate 4*w(c) + 9*x(c).\nAnswer: -c + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 85 = 8*k - 11. What is the tens digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1 - 7*(-2 + 3). Let r be (60\/(-224))\/(i\/8). Let x = -1\/7 - r. Is x at most as big as -2\/31?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = 5*d + 5. Let q(h) = 6*h + 6. Let w(g) = -2*g + 17. Let a be w(10). Give a*q(l) + 4*b(l).\nAnswer: 2*l + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand j + j**2 - 3*j**2 + 4*j**2 + (-3*j + 4*j - 3*j)*(8 - 2*j - 8) + 2*j**2 + 0*j + 0*j.\nAnswer: 8*j**2 + j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-45)\/10*(-8)\/6. Let j(b) = -b**3 + 6*b**2 + 2*b - 5. Let x be j(5). Suppose -n*q + x = -q. Is 6 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 38\/9*d**2 - 2\/9*d**3 + 0 + 0*d.\nAnswer: -2*d**2*(d - 19)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 108279 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o - 12*o = -873. Does 14 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 13298 - -9663. Is z a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 0 - -37811302?\nAnswer: 37811302","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oo when two letters picked without replacement from {e: 1, o: 2, u: 5, c: 1, i: 3}.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 26977837 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11110101011 + -100100001110?\nAnswer: -101100011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -14, 6, -4, -178 in increasing order.\nAnswer: -178, -14, -4, -3, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1475 or -1476?\nAnswer: -1475","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 189 - (0 - -7) - 3. Let h = o + -180. Which is smaller: h or 10\/77?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 14 and 10?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2062*t + 1195 - 879 + 1106 = -2141*t for t.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 24 and 164.\nAnswer: 984","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1103*t**2 + 1 - 6*t + 1101*t**2 - 2 to the form y*t**2 + r*t + l and give l.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*t**5 + 3479334*t**3 + 2*t - 15309790 wrt t?\nAnswer: -40*t**3 + 20876004*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 737 divided by 1996\nAnswer: 737\/1996","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -39 + 47. Let v be z\/6*1\/4. Let h be 0 - (1 - (-10)\/(-8)). Sort -1, v, h in increasing order.\nAnswer: -1, h, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = 1 - 1 - 2. Let t(n) = n**2 - 2. Determine 3*o(l) - 2*t(l).\nAnswer: -2*l**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = 5*g**2 - 16*g - 4. Suppose -8*z + 3*z + 20 = 0. Calculate the lowest common multiple of (-546)\/65*(-10)\/(-6)*-2 and c(z).\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.2, -4\/7, -29394 in decreasing order.\nAnswer: -0.2, -4\/7, -29394","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + -3*1*sqrt(500))**2.\nAnswer: 180*sqrt(5) + 4509","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 110*n - 105*n = 1615. Let s = 472 - n. Is s prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 81422 by -66.\nAnswer: -3701\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -30 + 32. Suppose 2*s + x*t = 5*t - 134, -3*t = 3*s + 216. Let o be (-1098)\/20 - (-7)\/s. Round o to the nearest ten.\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -6*x. Let r(h) = -58*h**2 - 1. Determine r(f(b)).\nAnswer: -2088*b**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 1140, 1116, 1054, 936, 744?\n\"Answer: -3*h**3 - h**2 + 1144","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5 + 173*f + 1 - 6 - 194*f.\nAnswer: -21*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 0*a - 7*a - 96594*a**2 + 96588*a**2)*(-5*a**2 + 14*a - 14*a).\nAnswer: 30*a**4 + 35*a**3 + 10*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 5345 and 3581.\nAnswer: 19140445","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -173250 = 1244*w + 1320*w - 33637 + 83455 for w.\nAnswer: -87","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -136*b + 286 = 3*i - 4*i, 4*b + 91*i + 20 = 89*i for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express -14*b**3 - 2*b**4 - 6*b**3 + 7*b**2 + 33*b + 33*b**3 - 12*b**3 as p*b**4 + r*b**3 + x + g*b**2 + l*b and give x.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find d such that 3*d**4\/5 + 39*d**3\/5 + 123*d**2\/5 + 141*d\/5 + 54\/5 = 0.\nAnswer: -9, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-30)\/(-36) - (-6)\/(-8). Let y = -0.56 - -2.56. Sort m, -0.4, y.\nAnswer: -0.4, m, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 1.3812906 months?\nAnswer: 0.0011510755","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 20 in 0, 0.4, 1, -645?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 6422 - 15?\nAnswer: 6404","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) be the third derivative of -r**6\/480 + r**4\/24 + 235*r**2. Find y such that x(y) = 0.\nAnswer: -2, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -20*g**2 + 20*g**2 + 2713*g**3 + 897*g**3.\nAnswer: 3610*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wjjj when four letters picked without replacement from {j: 5, w: 2, f: 1, e: 4, h: 1, n: 2}.\nAnswer: 1\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -6*v + 157. Determine l(12).\nAnswer: 85","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3\/(-22)*2)\/(10\/(-110)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is ((2\/(-1))\/(-4))\/(2\/3)?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 780039?\nAnswer: 3, 13, 59, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 8173492 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = 3*j + 2. Let n be c(-1). Let f(q) = q. Let d(b) = -15*b. Let u(w) = n*d(w) - 5*f(w). Let p(r) = r**2. Determine u(p(y)).\nAnswer: 10*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 5531967499 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = 3*m**3 + m**2. Let n(p) = -6*p**3 - 3*p**2. Let g = 15992 + -15997. Determine g*z(h) - 3*n(h).\nAnswer: 3*h**3 + 4*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -h + 3 = -5*q - 12, q = 2*h - 12 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (10\/(-25))\/(1\/(-145)). Let n = y - -27. Is n prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2183934 divided by 727978?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -3*s**3 - 50*s**2 - 31*s + 8. Calculate f(-16).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.23 + 167.77. Let l = k - 296. Which is bigger: l or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 - 11\/6*m**2 - 2\/3*m**4 - 13\/6*m**3 - 1\/3*m = 0. What is m?\nAnswer: -2, -1, -1\/4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -54 times 1.8?\nAnswer: -97.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 16\/(-6)*(-396969)\/55. Let r = z + -95694\/5. Let n = r - 108. What is the third smallest value in -0.5, n, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = 41*u + 7. Let g(i) = -42*i - 9. Let w(c) = 3*g(c) + 4*p(c). Determine w(1).\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from iigigggigiiiiiii. What is prob of sequence ii?\nAnswer: 11\/24","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = i**2 - 5*i + 3. Let v be t(5). Suppose 0 = 4*r - 2*r - 8. Suppose 4*q + 16 = -v*w, -10 = r*q - 4*w + 6. Let c(a) = -a**2 - 3*a - 6. What is c(q)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -45 and -0.067 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 3\/(-2)*4\/(-3). Let k be 16\/(-1 + 4\/a). What is the units digit of k\/9 + 6\/27?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -2*t**4 + 6*t**3 + 6*t - 11. Let z(u) = -3*u**4 + 5*u**3 + 5*u - 10. Let w(j) = 5*i(j) - 6*z(j). Find the first derivative of w(h) wrt h.\nAnswer: 32*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -267937 or -267940?\nAnswer: -267937","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/4 of a minute in seconds?\nAnswer: 105","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = 3*v + 20. Let f be p(-6). Let q be 2\/3 - 68\/(-6). Suppose -r + 8 + 0 = 2*a, 0 = -4*r + 3*a - q. Solve f*t - 5*t - 3 = r for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 54 minutes before 9:21 PM?\nAnswer: 8:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -4 (base 9) to base 11\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 133*p - 52 = 296*p - 176*p for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 295295282*d**3 - 10*d**2 - 35789*d - 165 wrt d?\nAnswer: 1771771692","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0707 to three decimal places.\nAnswer: 0.071","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 9239*1.489\nAnswer: 13756.871","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0 - -5. Suppose -3*w + 4 = z + 3, -c*w + 3*z + 25 = 0. What is the second derivative of -12*m**2 + 36*m**w + 7*m - 13*m**2 + 5*m wrt m?\nAnswer: 22","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3683 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: In base 3, what is 21001201 + -10021020?\nAnswer: 10210111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -37, 3, 4, -1, 2, 14, -15.\nAnswer: -37, -15, -1, 2, 3, 4, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 195792 and 744.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: What is 0.398 times -0.032639?\nAnswer: -0.012990322","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (h + 15*h - 3*h)*(6*h - 4*h + 0*h).\nAnswer: 26*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 59\/47944826 and -47\/533?\nAnswer: 623282738","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 301?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.014 and -1686.31.\nAnswer: 23.60834","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) be the third derivative of 0 + 0*g**5 - 134*g**2 + 0*g + 11\/30*g**6 + 55\/6*g**3 + 0*g**4. What is the derivative of l(t) wrt t?\nAnswer: 132*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*b = -0*b - 1384. Suppose 4*j - 5*j + b = 0. List the prime factors of j.\nAnswer: 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -23252.2 rounded to the nearest 1000?\nAnswer: -23000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -37473*u. Let g(v) = 2*v + 114. What is g(y(r))?\nAnswer: -74946*r + 114","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 130 = 5*t - 5*b, -86 = 5*t - 8*t - b. Is 11 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -20421 or -20387?\nAnswer: -20421","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -25.8 + 26. Let z = -30.37 + 26.37. Put z, j, 0.4, -30\/13 in decreasing order.\nAnswer: 0.4, j, -30\/13, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -6, -32, -5, 43 in ascending order.\nAnswer: -32, -6, -5, 43","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 798 and 20004.\nAnswer: 2660532","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 5\/956 and -89\/272.\nAnswer: 65008","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -164631, -329281, -493931, -658581, -823231?\nAnswer: -987881","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 3\/2*(-12)\/63. Let v be 0 - (14\/9 - 2). Which is the second smallest value? (a) -2 (b) v (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 16389 and 27?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n**(-8)*(n*n*n**9*n*n)\/n*n\/n**2*n**(-1\/7)\/n assuming n is positive.\nAnswer: n**(13\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (1\/2)\/(1\/8). Suppose -4 = r*j, -4*d + 3*j = 4 + 33. Let z = 5137.7 + -5137.6. Which is the third smallest value? (a) d (b) z (c) 3\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 2, h: 1, n: 1, v: 1}. What is prob of sequence hvn?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3181 * -186.\nAnswer: -591666","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -w**2 + 38*w - 351. Let h be (-16)\/(209\/(-11) + 18). Give o(h).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -792*z + 8382. Let y be q(31). Is -16171 less than y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/(1 - 0)*-3.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1914429739 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: Let y(a) = -29*a**2 + 358*a - 74. Determine y(8).\nAnswer: 934","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.1593 + 0.1407. Let j be 1\/(-4)*(-48)\/54. What is the nearest to 40 in j, x, -1?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1429*n + 1433*n + 1441*n + 1436*n - 7183*n + 1437*n.\nAnswer: -7*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) be the first derivative of -22 + 3\/8*b**2 - 3\/16*b**4 + 7\/12*b**3 - 1\/4*b**5 - 1\/2*b. Determine p so that h(p) = 0.\nAnswer: -1, 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 56*q = -18033 + 16745 for q.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25*a + 321 = -6*a + 644 for a.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1726 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -z. Let p(j) = -9*j**2 + 81. Let c(y) = 1. Suppose 2*v - 95 - 229 = 0. Let t(r) = v*c(r) - 2*p(r). Determine n(t(o)).\nAnswer: -18*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 407425507 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand -18 + 474*k - 12 - 473*k + (1 - 1 - 1)*(-4*k + 2*k + 0*k).\nAnswer: 3*k - 30","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-276)\/(-5) + 13\/(-65). Suppose v + 4*v - 83 = p, -4*v - 3*p + y = 0. What is the highest common factor of v and 64?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -444 and -4.1.\nAnswer: 1820.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:49 AM and 4:35 PM?\nAnswer: 706","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -4 (b) -5 (c) 99 (d) -4.18\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -8902, -17572, -26242, -34912?\nAnswer: -43582","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 15 - 26. Let h = a + 8. Sort h, -4, 0.3 in descending order.\nAnswer: 0.3, h, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = 15990*a + 273. Let g(s) = 533*s + 9. Determine 91*g(d) - 3*x(d).\nAnswer: 533*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:17 AM and 11:34 AM?\nAnswer: 557","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 x when two letters picked without replacement from xqxcxqxqxxq.\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -14 + 8*s - 46 + 16 + 23*s. What is the hundreds digit of c(11)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 4\/3 (b) -2\/5 (c) -0.1 (d) 24\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 1820*a - 1822*a + 4. Solve a*b - 3*d + 7 - 32 = 0, 5*b + 4*d = 5 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 56 minutes before 2:52 AM?\nAnswer: 1:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**(2\/27)*t*t**17*t)\/(t**18)**(-18))**(3\/20) assuming t is positive.\nAnswer: t**(9263\/180)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor -a**3 + 10659*a**2 - 21315*a + 10657.\nAnswer: -(a - 10657)*(a - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*sqrt(192)*-1.\nAnswer: -24*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30*a + 38*a = -24. Let q(u) = 9*u + 23. Let k be q(a). Let r(c) = 3 - 4*c**2 + 3*c**2 - 4*c - 1. Calculate r(k).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 8 - 1?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*n**3 - 2*n**3 + 4*n**3 + 8*n - 3*n**3 as p + m*n**3 + w*n + s*n**2 and give w.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 92\/22 + 6\/(-33). Suppose 0 = 3*k + 2 - 5, -3*s + c = 4*k. Suppose 0 = -4*u - 4*z - 4, -u - 7 - 6 = 4*z. Solve -u*w - 2 + 8 = s for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -112 divided by -18709.\nAnswer: 112\/18709","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-five halves of a litre in millilitres?\nAnswer: 22500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -9*w**2 + 15. Let x(d) = 773*d**2 + 7 - 389*d**2 - 388*d**2. Calculate -6*q(u) + 13*x(u).\nAnswer: 2*u**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -52 + 55. Solve -2*u - 2*l + 0 + 2 = 0, -1 = -x*u - 2*l for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 26483848?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -0.3, -2\/3, 0, 5, 4911 in descending order.\nAnswer: 4911, 5, 2, 0, -0.3, -2\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence re when two letters picked without replacement from {e: 2, r: 4, w: 4, m: 1}.\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -3*y - 7. Let r(i) = -4*i**2 + 2*i + 4. Let s(c) = -4*c**2 + 3*c + 6. Let f(v) = -6*r(v) + 4*s(v). Calculate f(a(w)).\nAnswer: 72*w**2 + 336*w + 392","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*x**3 - 1926704*x**2 + 132577603212*x + 75759259536 = 0.\nAnswer: -4\/7, 137622","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -2*z**3 + 6*z**2 - 3*z - 7. Determine u(4).\nAnswer: -51","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + 5*(-2 + sqrt(13)) + sqrt(13) + -1 + sqrt(1300) + -5*(sqrt(52) + sqrt(13)).\nAnswer: -10 + sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1163199 to the power of 1\/2, to the nearest integer?\nAnswer: 1079","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 8025173?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 267 divide 23943 + (-1 + 0)*(134 - 131)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-2942)\/(-8) - 3\/(-12). Suppose -2*f = -5*n + 1285, -5*n + 3*f + 1653 = y. Is n prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 275*h - 51934 + 17009. Solve -h = 3*q - 124 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11549 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -363 + 6*o - 4*o - 2*o + 4622 + 11*o.\nAnswer: 11*o + 4259","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 109 is divided by 20?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = 2*o**2 + 48*o + 22. Calculate u(-24).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*a + 2 = a. Suppose -3*w - a*x - 3 = 20, 0 = -5*w - 3*x - 40. Let d = 4.3 + -4.2. What is the second biggest value in 4, d, 0.3, w?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 l, 1 g, and 1 m when four letters picked without replacement from lqammgql.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27 = 22*w - 17 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 10065794*t**3 + 14715153*t**2?\nAnswer: 60394764","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in thirteen quarters of a tonne?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1799003?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1 times 4.755215?\nAnswer: 0.4755215","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1480\/3*c + 2\/3*c**2 + 1478\/3.\nAnswer: 2*(c - 739)*(c - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -106 + 57 + 48 - -49.\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 8294093 and 457.\nAnswer: 457","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s = 2*a, 3*s + 5 + 16 = -a. Let k(n) = -17*n - 68. Let h(f) = -17*f - 68. Let y(q) = s*k(q) + 5*h(q). Differentiate y(b) wrt b.\nAnswer: 17","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -625, -626, -627?\n\"Answer: -m - 624","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 1, f: 11, v: 5, q: 2}. What is prob of picking 3 v?\nAnswer: 10\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3 - 1) + (232 - 241 - 16\/(-2)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2948 is divided by 139?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -8011 - -8104. List the prime factors of x.\nAnswer: 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*h + 4 = -1620*x + 3246*x - 1622*x, -5*x - 10 = -5*h for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -2*f + 5, n = 3*f + 388. Let q = n + -6. Is q a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -6 + 26 - 5*s**2 - 11 - 15*s + s**3. Let y be o(7). Solve -y = 3*a + 1 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 402108 - 402107.88. Let c be (-1)\/(1\/3*-1). What is the third smallest value in c, 0.5, l?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*j**3 - 8 - 4*j**3 + 2*j**3 as g*j + w*j**3 + f + z*j**2 and give w.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 2142330?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*a - 45 + 15. Suppose -a*z + 4*y = -89, 2*z - 3*y = -6*y + 31. Calculate the remainder when 25 is divided by z.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = 10 - 10 + p**2 + p**2. Let l(m) = -482*m**2 + 982*m**2 - 486*m**2. Give l(r(g)).\nAnswer: 56*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fb when two letters picked without replacement from nbbbfbfhbnb?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 times 194?\nAnswer: 582","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 52\/9 and 95\/402128?\nAnswer: 3619152","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*m + 2*m + 29*m + 6*m**2 - 39*m.\nAnswer: 6*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 less than 0.0442457?\nAnswer: -4.9557543","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 {p: 7, f: 2}.\nAnswer: 7\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2 = -8*j + 9*j for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 16*q**2*u**2 - 2*q*u**3 - q + u**3 + 206*u wrt q?\nAnswer: 32*q*u**2 - 2*u**3 - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 4760825879 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 65*x + 6*x - 4460 = -1407. What is the remainder when 158 is divided by x?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -10 + 15. Let y be (-4 + b + 1)*7. Suppose -y = -w + 4. Solve 2*r + 4*c = 4*r - w, -13 = 3*r + 4*c for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -20578, -41152, -61726, -82300, -102874, -123448?\n\"Answer: -20574*d - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + -3 - (5 + -5)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6*m - m - 54 + 5*m + 60 to g*m + u and give g.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 49272 (base 11) in base 3?\nAnswer: 10121012121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -221.28 to the nearest ten.\nAnswer: -220","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 351733 is divided by 308.\nAnswer: 305","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.48213 rounded to zero decimal places?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 192 divide 35031?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 + -13 + -13 + 34 + 16.\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 10, -1 in increasing order.\nAnswer: -2, -1, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide -13070574 by 33.\nAnswer: -396078","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14826591.\nAnswer: 3, 13, 53, 797","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 3669474217 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x**(-2\/23)\/x**(-9) assuming x is positive.\nAnswer: x**(205\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 975948*q**3 - q + 5889828 wrt q?\nAnswer: 2927844*q**2 - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -d**3 + 14*d**2 - 35*d + 22. Let x be y(11). Is 1\/12560 < x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -25? (a) 9.39 (b) -63\/10 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (28 - -2)\/2 - -3. Let c = l - 12. What is the units digit of c?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i = -0*i + 3. Let l = -6 - -6.1. Is l at least i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:22 AM and 3:49 AM?\nAnswer: 207","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand -22*y**4 + 7*y**2 - 17*y**2 + 9*y**2 - 2*y**4 - 4*y**4 + 7*y**4 + (-y**3 + 0 + 0)*(0 + 0 - 2*y) - 30*y + 30*y + 4*y**4.\nAnswer: -15*y**4 - y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -118 - -123. Solve 0 = -u + g, -9 = -3*i + 2*i - 2*u for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*z - 180 + 4717 - 937 = 0. Calculate the lowest common multiple of z and 32.\nAnswer: 2400","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -6224 + 6247. Let r(s) = s**2 - 19*s - 85. What is r(u)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7 - 4\/(2 - -2)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-2)\/4 - 315\/(-42). What is the highest common divisor of 2 and y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 908 + -829 + 1 + -109.\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is five quarters of a meter in centimeters?\nAnswer: 125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -25 + 24. Sort -11, h, 1, 0 in decreasing order.\nAnswer: 1, 0, h, -11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.18609 * 261\nAnswer: -48.56949","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -219 - -172. Find the common denominator of (-54)\/(-3)*15\/9 and (h\/(-2) + -1)*(-2)\/(-110).\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 3210 - -20?\nAnswer: 3230","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:54 AM and 6:24 AM?\nAnswer: 270","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -14500256.73 rounded to the nearest one million?\nAnswer: -15000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.1, 38, -11?\nAnswer: -11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 12590273 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 11 - 202312231?\nAnswer: -202312220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 805 is divided by 62?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 g and 1 v when three letters picked without replacement from {v: 2, g: 3, l: 4}.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -143*m = -99*m + 2860. Let t = -96 - -168. Let x = m + t. Sort 0, 1, x, -3 in decreasing order.\nAnswer: x, 1, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -271 + 276. Suppose -7544 = -2*c + d, 3*d - 4088 - 14750 = -g*c. What is c rounded to the nearest one hundred?\nAnswer: 3800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = 39*u**2 - 21*u**2 - 21*u**2 + 1 - 5. Let j(y) = 5*y**2 + 7. Let i(v) = -4*j(v) - 7*o(v). Let h(s) = -55*s - 1. What is i(h(p))?\nAnswer: 3025*p**2 + 110*p + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1 + 5. Suppose -3*l + 15 = -0. What is the lowest common multiple of t and l?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1.025 + 0.925. Put -0.3, y, -5\/2, 1\/12 in increasing order.\nAnswer: -5\/2, -0.3, y, 1\/12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 38 and 380.\nAnswer: 380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from nynytntnytttt. Give prob of picking 1 y, 1 n, and 2 t.\nAnswer: 36\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = 46*f**2 - 1763*f - 1201. What is v(39)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4328, 3, -4.\nAnswer: -4, 3, 4328","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) be the third derivative of b**6\/240 + b**5\/80 - b**4\/48 + 11*b**2. Suppose q(o) = 0. Calculate o.\nAnswer: -2, 0, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.3661 times 434.82?\nAnswer: -594.007602","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -194.032445 to zero dps.\nAnswer: -194","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xkxxxuuxxxxskxgx. Give prob of picking 1 k, 1 x, 1 s, and 1 g.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -511\/9 - -57. Which is the closest to -1\/79? (a) 1 (b) 3 (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (8 + 540\/(-48))\/((-29)\/(-116)).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = 6*i**2 - 36*i**2 + 6 + 4*i + 29*i**2. Calculate the least common multiple of q(0) and 22.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) be the third derivative of 0*l**3 - 8*l**2 - 1\/735*l**7 - 1\/70*l**5 + 1\/84*l**4 + 0*l + 0 + 1\/140*l**6. Determine r, given that g(r) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 3 - ((-7)\/4 - 1\/4). Suppose d*r - 2*y - 314 = r, -2*r = 3*y - 137. Let c = r + -43. Calculate the highest common factor of 3 and c.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3289601 is divided by 365502.\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = 83 + 15*r + 21*r - 15 - r**2 - 44*r + 7*r. Let o be h(-9). Let m = -1 - 0. Put 4, m, 0, o in decreasing order.\nAnswer: 4, 0, m, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*p + 2*p + 6 = 0. Let f(q) = 2*q**2 - 3*q - 2. Let c be f(-1). Suppose -8*b + c*b - 10 = 0. Sort -1, b, p in decreasing order.\nAnswer: -1, b, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4630 is divided by 232?\nAnswer: 222","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 32496 to the power of 1\/4, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 21240\/5900 + 114\/10\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 3, z: 2, k: 6, p: 3, w: 6}. What is prob of picking 1 w and 1 k?\nAnswer: 18\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3586 = 181*b + 1389 - 2328 for b.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*r + 33 = 4*x, 2*x = 5*x - 4*x - 7*r + 2 for x.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = 6*j + 16. Suppose -4*z = 20, 2*z - 4*z - 35 = -5*r. Is c(r) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -23370, -23373, -23376, -23379, -23382, -23385?\nAnswer: -23388","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((c\/(c\/((c*c*c\/(c\/c**(-3))*c*c)\/c)))\/c)\/c**(-1\/6))**(28\/3) assuming c is positive.\nAnswer: c**(-70\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**(-3))**23\/(n**(2\/15)\/((n**(-5)*n)\/n*n)))**(1\/18) assuming n is positive.\nAnswer: n**(-1097\/270)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*h + 8*h + 4*q, -q = 3*h + 10. What is the tens digit of 48\/(-60) - 799\/h?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3319007 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 7220?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 7 + (-41 - (-71 - -2))\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 223, 227, 231?\n\"Answer: 4*p + 219","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 3164994247 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z = 4*w + 96, -4*z - 4*w + 25 = -95. Calculate the lowest common multiple of z and 0 + 0 - -6*2.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 13172 and 416609?\nAnswer: 61658132","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.17893876 and -0.3.\nAnswer: -0.053681628","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-5)\/10)\/(320\/(-720))?\nAnswer: 9\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6 + 114\/21)\/(30\/21).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 43*j - 42*j - 4*p + 5, 3*j - 1 = -4*p for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 944309.2 days?\nAnswer: 81588314880000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -68*o**2 - 102*o - 62. Determine a(-8).\nAnswer: -3598","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -5*x**5 + x**4 - 41*x**2 wrt x?\nAnswer: -300*x**2 + 24*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00369 rounded to 3 decimal places?\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 21902 and 12504178.\nAnswer: 466","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 49 + -35. Let m(b) = 4*b**2 + 14. Let j(y) = y**2 + 3. Let z(k) = q*j(k) - 3*m(k). Let s(u) = u - 90. Calculate z(s(x)).\nAnswer: 2*x**2 - 360*x + 16200","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -20406 rounded to the nearest 10000?\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -45190+-52.8596543\nAnswer: -45242.8596543","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 372 minutes before 5:02 PM?\nAnswer: 10:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = 2*l + 4*r, l - 5*r = -4*r + 14. Suppose -17*i = -l*i - 10. Suppose -2*z + 3 + 1 = -5*m, -i*z + 4 = 2*m. Solve m*f = 5*f + 10 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 6620100737 to the nearest integer?\nAnswer: 1878","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -90140581, -90140588, -90140599, -90140614, -90140633?\nAnswer: -90140656","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 55\/4607833 and -20\/803.\nAnswer: 50686163","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 81 + 50 = -45*p - 184 for p.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*w + w - 2*w)*(7 - 26*w + 16*w + 17*w) in the form t*w**2 + z + k*w and give t.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 10*f**6 + 589*f**5 + 896*f**3 + 859850*f**2 - f wrt f.\nAnswer: 1200*f**3 + 35340*f**2 + 5376","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -o**2 + 11*o + 18. Let f be j(13). Let h = f - -8. Solve x + 6 - 2 = h for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 804602, 3217730, 7239608, 12870236, 20109614, 28957742, 39414620?\n\"Answer: 804375*p**2 + 3*p + 224","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 100010011011 (base 2) to base 4.\nAnswer: 202123","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -260.77 + 262. Let h = a + -1.279. Round h to two decimal places.\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 16 - 6. Let r = 6 - z. Let u = r - -3. What is the nearest to u in 0.3, -0.3, 3\/2?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 11634 and 594165.\nAnswer: 8318310","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 1428157 at least as big as 1428221?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g = -3*r + 14, 2*r - g + 3*g = 4. Suppose -545 = t - r*t. Suppose 0 = -4*y + t - 21. Is 11 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -557 + 553. Let b be 0*8\/(-32)*s. Factor 4\/17*j - 6\/17*j**2 + 2\/17*j**4 + 0*j**3 + b.\nAnswer: 2*j*(j - 1)**2*(j + 2)\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (255\/(-51)*8\/10)\/(10\/3).\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 74805821 to the nearest integer?\nAnswer: 8649","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -46*a + 50*a = -12 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 231 and 330.\nAnswer: 2310","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.5, -5, -56885, 9, 2 in ascending order.\nAnswer: -56885, -5, -0.5, 2, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 50.12615nm?\nAnswer: 0.00000000005012615","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = 4*k + 9. Let p be f(-3). Let z = 6 + p. Suppose 3*s - 12 = -d, 0 = -3*d - 2*s + z - 2. Which is the nearest to -1? (a) -3\/10 (b) d (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 347475480?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 68707 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 54 + -48. Let q be 5\/56 - b\/16. What is the third smallest value in -4\/3, q, 2\/11?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 472 minutes after 1:43 AM?\nAnswer: 9:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4 (base 11) to base 15.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 23716?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e and 1 w when two letters picked without replacement from {w: 1, e: 14}?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -83*c - 19. What is r(1)?\nAnswer: -102","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 423100 and 32?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 6 + -5. Let m(a) = a**2 - 5*a + 6. Let c be m(4). Let w be (3\/(-15))\/(c\/5). Sort s, w, 0.1 in ascending order.\nAnswer: w, 0.1, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-10)\/((-3)\/((-15)\/2)). Let j be (-3)\/(-9)*0 + o. Let g be j*-2*1\/2. Solve 7*x = 2*x + g for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2\/13 - (-45)\/(-39). Let y(b) = 2*b**2 + 1. Let h be y(t). Solve 2\/3*j**h - 1\/3*j**4 - 1\/3 - 1\/3*j + 2\/3*j**2 - 1\/3*j**5 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 87 is divided by 26.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s - 3*n = -6, 0 = -5*s - 2*n + n + 10. Let j = -0.23 + -0.07. Let d = 0.1 + j. Which is the closest to -1? (a) d (b) s (c) -2\/19\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 207 to the nearest 10.\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 5773 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = y. Let b(r) be the second derivative of -r**3\/3 - 3*r. Give 2*b(v) + 6*m(v).\nAnswer: 2*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 21 + 0. Suppose 6*z - 2*z + 920 = 4*v, -4*v + 3*z + 921 = 0. Calculate the highest common factor of f and v.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16*v**3 - 58*v**3 + 35*v**3 + 11*v**2 + 8*v**2.\nAnswer: -7*v**3 + 19*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 663 minutes before 6:42 PM?\nAnswer: 7:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/(-11) + (-20)\/(-110)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -425 = -5*x + 5*q, 0 = -4*q - 0 - 20. Let z be (-2 - -7)*8\/x*-16. Which is the nearest to -0.1? (a) 0 (b) z (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-6)\/(-4))\/(1\/(-2)). Let c = g + 5. Let f be -62 + 3*c\/3. What is f rounded to the nearest one hundred?\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-14)\/6*((-440190)\/(-536))\/(-365).\nAnswer: 21\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) be the third derivative of -y**5\/20 - 307*y**4\/24 - 9*y**2 + y - 16. Let w(a) = -5*a. Give o(w(i)).\nAnswer: -75*i**2 + 1535*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1.9 (b) -92 (c) 2\/13 (d) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y*y**(-2\/5))\/(y\/(y**(2\/23)*y)))**(-14\/11) assuming y is positive.\nAnswer: y**(-1106\/1265)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.4 and -6.5?\nAnswer: -2.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -116, -188, -218, -206, -152, -56, 82?\nAnswer: 262","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*v + 2*v = l + 1, 0 = -5*l - 3*v - 5. Let y be (-1)\/(-3)*1*l. Let o = -0.43 + -0.07. Sort -1, o, y in decreasing order.\nAnswer: y, o, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*n = 2*n + 25. Suppose -3*v - 5 = -n. Suppose -t - y = -v*y + 4, -3*y = 4*t + 11. Solve -2*a - 8 = 4*b, -t = 5*a + 3*b + 19 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10\/3 of a century in months?\nAnswer: 4000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -86, -92, -102, -116?\nAnswer: -134","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 - 2 + 4)*(207*j - 371*j - 321*j)*(-3*j**2 + j**2 + 0*j**2) in the form i*j**3 + w*j**2 + g*j + o and give i.\nAnswer: 1940","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 1.1297 times 3\nAnswer: 3.3891","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.38 + -0.37898. What is k rounded to four decimal places?\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13033*d**2 + d + 12419*d**2 - d - 25472*d**2.\nAnswer: -20*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 420\/(-199815)*715\/130.\nAnswer: -2\/173","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 2503.93 and -341.\nAnswer: -853840.13","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 19456013?\nAnswer: 29, 670897","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (16 + 21 + 1)*(-22*n**3 + 19*n**3 + 4*n**2 - 10*n**3) to t + g*n + x*n**2 + m*n**3 and give x.\nAnswer: 152","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-4)\/18 - (392\/126 + -2). Let n = -133 - -403\/3. What is the third smallest value in m, -0.02, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*t**2 - 1 + 1 + (2*t + t - 4*t)*(-2*t - 4*t + 5*t) + 2*t**2 + 0*t**2 + t**2.\nAnswer: t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = 6*k - 47. Let g be j(7). Let r(l) = -4*l - 19. Give r(g).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1197232301.\nAnswer: 2437, 491273","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 64 = -9*z + 25*z. Solve z*j + 5*a - 30 = -j, -j + a - 4 = 0 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 9*t**2 - 2*t**2 - 2*t**3 - 10 - 6*t**2 - t**4 - t**3 in the form y*t**2 + f*t + u*t**3 + g + a*t**4 and give u.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = 38*x - 121. Give i(3).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert c (base 13) to base 8.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2377\/9 + -24859\/90. Let l = 596 + -19633\/33. Let d = 104\/33 - l. What is the common denominator of d and s?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 53 minutes before 10:00 AM?\nAnswer: 9:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 28001499 a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x = 2*x + 4*p - 28, 2*x = 2*p + 34. Suppose 0 = -6*u + 41 + 37. Does x = u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -28*z**2 + 27*z**2 - 2 + 284*z**3 - z**4 - 282*z**3 - 74*z as c*z**3 + b*z**4 + t + q*z + o*z**2 and give q.\nAnswer: -74","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -19946*j**3*q**2*u + 2*j**3*q - 7*j**2*q**2*u + 32*j*q**2 + 1190*u wrt j.\nAnswer: -119676*q**2*u + 12*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*t + 0*t - 4*t + ((1 - 5 + 2)*(2 - 3 + 0) - 2 - 3 + 4)*(-1 + 1 + 2*t) to g + j*t and give j.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -34*i + 37*i - 43*i = 12*i - 1716 for i.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (210*l - 425*l - 2 + 224*l)*(-15 + 13 - l + 3*l).\nAnswer: 18*l**2 - 22*l + 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Work out -35 * -0.55788.\nAnswer: 19.5258","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 50 and 18?\nAnswer: 450","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 6\/15 + 12\/(-5). Let u = o + 49. Suppose -3*n - u = -2*g - 0*g, -4*g - 3*n = -103. Solve 4*c + c = g for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*j = 7*j + 4 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(330)\/(1*sqrt(10)))\/(sqrt(220)\/sqrt(5) + sqrt(44)) + -2.\nAnswer: -2 + sqrt(3)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = 5*s**2 + 190*s - 386. Give z(-49).\nAnswer: 2309","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express 53*b**4 - 2*b**4 + 12*b**4 + (-4 + 1 + 2)*(-3*b**4 + 0*b**4 + 2*b**4) in the form n*b**2 + t*b + a*b**3 + r + p*b**4 and give p.\nAnswer: 64","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -o. Suppose 6*x = -0 + 6. Let r(b) = -2*b**2 - 5*b. Let d(t) = x*r(t) - c(t). Find the second derivative of d(s) wrt s.\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 21 + -19. What is the third derivative of -4*y**4 + 2*y**4 - 5*y**h + 2*y**4 + 7*y**5 wrt y?\nAnswer: 420*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -m**3 + 1392*m**2 + 12695*m - 120508. What is t(1401)?\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 3 + 0 - 7*h**3 + 1 + 3 wrt h?\nAnswer: -21*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-55)\/(-2)*(1 - 3). Suppose -2*k - 2*l + 329 - 89 = 0, -5*l - 435 = -4*k. Let n = o + k. What is the remainder when n is divided by 21?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = 2*h**2. Let z(l) = 5*l**2 - 6*l**2 + 0*l + 0*l. Give z(w(v)).\nAnswer: -4*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 6 - 2 - 12\/(-12). Let m(r) be the second derivative of -1\/70*r**h + 0*r**4 + 0 + 0*r**2 + 0*r**3 + 3*r. Determine g so that m(g) = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*x = 3*s - 8*s + 47, -5*x + 5*s = 35 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y\/y**2*y**(-8)*(y**(-1))**(-19\/4))**(-43) assuming y is positive.\nAnswer: y**(731\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 17, q: 3}. What is prob of sequence gg?\nAnswer: 68\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0.5 (b) 0.48 (c) -0.007 (d) -9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -3*(3 - 5)*(-2)\/(-3)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:38 PM and 8:41 PM?\nAnswer: 243","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.6048023 kilometers in centimeters?\nAnswer: 60480.23","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*o - 2513*b + 19 = -2511*b, 0 = 5*o - 4*b - 17 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -893*-0.05\nAnswer: 44.65","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*l - 0*l + 24. Let t be (-2)\/(-6) - l\/3. Suppose -m = -t*m + 12. List the prime factors of m.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -669? (a) 0.4 (b) 1\/2 (c) -1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 6\/(-8)*2 + 1. Suppose -2*x + 6 - 1 = 3*i, 5*x = -i + 45. Suppose 0*p - b = -p + 4, 3*b = 5*p - x. Is d less than p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/2? (a) -0.1 (b) -3705 (c) 804\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-22 - -16)*(-1 - 20\/(-12)). Sort 30, n, -3, 4 in decreasing order.\nAnswer: 30, 4, -3, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_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: b\"What is the rth term of -607645, -1215289, -1822945, -2430619, -3038317, -3646045, -4253809, -4861615?\n\"Answer: -r**3 - 607637*r - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (1 + -2)*(-2 - 28). Let q(i) = -i**3 - i**2 + 6. Suppose -j = 0, -4*n + 4*j = 5*j. Let d be q(n). What is the greatest common divisor of f and d?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -73\/7240 and -17\/7240.\nAnswer: 7240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = i**2 - 1357*i - 21995. Determine y(-16).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -21*t - 2. Let r be z(-2). Let g = -34 + r. Find the third derivative of -8*f**2 - 14*f**3 + 5*f**g + 14*f**3 wrt f.\nAnswer: 600*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 (base 13) to base 8\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 165 minutes after 5:53 PM?\nAnswer: 8:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -4 (base 6) to base 15\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 219519351 to the nearest integer?\nAnswer: 122","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -11 (b) -4 (c) -46.95\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 289437?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 20084 - 14301. What is the units digit of h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.02 and 307.\nAnswer: 6.14","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (sqrt(7920) + (sqrt(7920) - sqrt(7920)*5))\/sqrt(11).\nAnswer: -36*sqrt(5) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -2 and 641921.922?\nAnswer: 641923.922","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p*p**(-10))\/((p*p**(-15))\/p)*p**(-8)*p*p*p**11\/p)**43 assuming p is positive.\nAnswer: p**430","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -32432 + -205433?\nAnswer: -242305","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gn when two letters picked without replacement from geglnelhtnnlg.\nAnswer: 3\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 5, -2, 4, 0.06, -10, -7\/3?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -d + 3. Let m be t(-3). Let n be (-2)\/(-4) + 231\/m - 4. Calculate the highest common factor of 10 and n.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (s + 3*s - s)*(-3*s**3 + s**3 + 0*s**3) + (-4 + 6 + 4)*(3*s**2 - 2*s**4 - 3*s**2).\nAnswer: -18*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = 11 - 9 - w + 1 + 14. Let j be z(15). Solve 0 = -j*f - 3*f - 5 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 100 + 10011110011?\nAnswer: 10011110111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -7 - 4784286596331\nAnswer: -4784286596338","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -6787*p**3*u**5 - 6157*p**3*u**3 - 14*p**3 - 5550*p**2 + 2*u**2 + u - 93 wrt u.\nAnswer: -407220*p**3*u**2 - 36942*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 7325?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -53625*z**3 - 45375. Let c(t) = -t**3 - 1. Let s(x) = -90750*c(x) + 2*o(x). Let r be s(-2). Round r to the nearest ten thousand.\nAnswer: 130000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15.64752 rounded to 2 decimal places?\nAnswer: 15.65","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -d**3 + 3*d**2 - 3. Let g(v) = -6. Let j(z) = 17. Let i(u) = -8*g(u) - 3*j(u). Let l(o) = -8. Let b(x) = -5*i(x) + 2*l(x). Calculate 3*b(n) - t(n).\nAnswer: n**3 - 3*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(128) - ((sqrt(128) - (-1 + sqrt(128) + (sqrt(128) - (sqrt(128) + -4 + sqrt(128))))) + sqrt(128)))**2 - 5*-5*(-2 + sqrt(2)))*-6.\nAnswer: -522 + 138*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 4 - 4. Suppose l*r - 6 = -3*r. What are the prime factors of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1\/4, -1257, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) be the third derivative of -7*s**5\/60 + 114*s**2 - 5. Let c(i) = 2*i - 13. Give c(y(p)).\nAnswer: -14*p**2 - 13","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 623 minutes after 1:11 AM?\nAnswer: 11:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 2585 a multiple of 47?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -25*i**3 + 4*i**2 - 4*i + 4. Let k(l) = 399*l**3 - 63*l**2 + 63*l - 63. Let n be ((-32)\/720 + (-164)\/(-45))*35\/(-2). Give n*d(r) - 4*k(r).\nAnswer: -21*r**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dd when two letters picked without replacement from {t: 11, n: 2, d: 2, v: 5}?\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1149 - -1842. Is 17 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -652\/3731 - -6\/287. Which is the closest to 1\/4? (a) -1\/12 (b) -5 (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 12916?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 610635875.\nAnswer: 5, 73, 66919","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-88)\/9 + (-2)\/9. Let z = x - -6. Let r = 14 + z. What are the prime factors of r?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 54 = 89*w + 56*w - 526 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 61.24627 years in months?\nAnswer: 734.95524","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1044.77 * 5276.\nAnswer: -5512206.52","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = 5*n - 43. Let x(y) = -21*y + 172. Determine -9*t(k) - 2*x(k).\nAnswer: -3*k + 43","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = 14*y**2 - 34*y + 204. Let n be j(6). Suppose 17*p - 13*p - 1011 = -v, 2*p = -2*v + n. What are the prime factors of p?\nAnswer: 11, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.3 and -6929066938?\nAnswer: 6929066938.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -673\/348 - -23\/12. Is -1 at least i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 84630 to the power of 1\/9, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 389936311, 389936308, 389936305, 389936302?\nAnswer: 389936299","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -d + 1 + 1. Let u(g) = -g + 8 - 7 - g**d + 2*g**2. Let o(q) = -q**2 + 2*q - 2. Calculate -o(l) - 2*u(l).\nAnswer: -l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 v when three letters picked without replacement from vvv?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3)\/(33\/(-10))*63547\/103986.\nAnswer: 5\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -312310032 + 11?\nAnswer: -312310021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -218 + 223. Solve -14 = -4*w - 2*m, -m = -2*w - 4 + r for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = 7*x**2 - 25*x + 82. What is g(4)?\nAnswer: 94","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) be the third derivative of j**4\/12 - 13*j**3\/6 - 17*j**2. Let m be s(9). Solve -m*z - 10 = -3*z for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 40.7423883 to the nearest integer.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 134676 is divided by 1104?\nAnswer: 1092","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 5*x - 24 + 4*x + 4*x wrt x?\nAnswer: 13","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-18)\/1*20\/(-6). Let h = -87 - -107. What is the greatest common divisor of h and o?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*d + 27 = -4*p - 16*d, p - 2*d = 3 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express ((-4*x + 4*x + 2*x)*(-2*x - 2 + 2) - x**2 + x**2 + 2*x**2)*(-26*x + 2253 - 2253) in the form c*x**3 + h*x**2 + y*x + a and give y.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 428961017?\nAnswer: 17, 23, 37, 149, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 149976, 600105, 1350374, 2400777, 3751308, 5401961, 7352730?\n\"Answer: -s**3 + 150076*s**2 - 92*s - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 138 a factor of 2582118?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8 = -5*n + 4*p, -1 = -5*p - 11 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 21540 and 43741278?\nAnswer: 437412780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -15480, -16149, -16818, -17487, -18156, -18825?\nAnswer: -19494","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -150 = -7*l + 2*l. Let n = l - 40. Let z = 0 - n. What is the remainder when z is divided by 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 14 and 38002174?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 563436764 divided by -409.\nAnswer: -1377596","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.1 - 0.2. Suppose -26338*n + 100 = -26333*n. Which is the smallest value? (a) r (b) 2 (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1743*x + 869*x + 18*x**2 + 785*x to the form n*x**2 + r + k*x and give r.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -230*h = -r + 4*r + r - 229*h + 12, -4*r - 36 = -5*h for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5560, -209, 0.1, 3, -2\/399 in descending order.\nAnswer: 3, 0.1, -2\/399, -209, -5560","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m - 36 = -10*a + 7*a, -2*m = -3*a - 24. Solve -55*v = -51*v + m for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 1587, -1\/4, 3\/11, 0?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -19 + 25. Suppose -2*l = 2 - 0. Let q be l + r\/9 + 0. Which is bigger: -1 or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) be the second derivative of -f**4\/60 + 137*f**3\/30 + 139*f**2\/5 + 26*f - 3. Factor q(j).\nAnswer: -(j - 139)*(j + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*sqrt(112) + sqrt(7) + (sqrt(7)*2)**2 + 4 + 5 + sqrt(567) + sqrt(567) + 1*sqrt(567).\nAnswer: 37 + 24*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 4*g**4*n - 1641*g**3*n**2 + 5710*g**2*n + 6*n**2 + 2*n wrt g?\nAnswer: 96*g*n - 9846*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v - 2*p - 1 = 1, 0 = 2*v - 2*p. Let g be v*(-20)\/5 - (0 + -3). What is the units digit of 122\/2 + 3\/3 - g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ffffffffjffjjfi. Give prob of picking 3 f.\nAnswer: 33\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let -h**3\/5 + 600543*h**2\/5 + 2402184*h\/5 + 2402188\/5 = 0. Calculate h.\nAnswer: -2, 600547","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 2556329.3 rounded to the nearest 100000?\nAnswer: 2600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 - (-2 + -3 + 0) - 2.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000012881 rounded to six decimal places?\nAnswer: -0.000013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u - 15 = 33. Let w = 178 + -169. Suppose -w*k + 5*k = y - 67, 2*k + y = 33. Calculate the remainder when u is divided by k.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 195 divide 1790436015?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 - -9 - (10 - (12 + (7 - 20) + 19))?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b + t = 28, 5*b - t = 22 + 55. What is the greatest common divisor of 3840 and b?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 10137? (a) 3 (b) 0.2 (c) 9\/17 (d) -4 (e) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = t**2 + 13*t - 5. Let k be v(-17). Let y = -57 + k. Let l(r) = r - 7. What is l(y)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 922 is divided by 240.\nAnswer: 202","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -207*l - 304*l - 488*l + 80899 = -110*l for l.\nAnswer: 91","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 109183 or 109170?\nAnswer: 109170","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 37071*w**4 + 185*w**3 - 20985035*w**2.\nAnswer: 889704*w + 1110","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -b + 15*b - 1502 + 1306 = 0 for b.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 389*v - 159*v - 183*v - 253*v - 6.\nAnswer: -206*v - 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 686 and 26?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u + 166 - 574 = 0. Suppose 0 = -5*k + c - 1233, -1 - 1 = c. Let o = u - k. Is o a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 3 + 12 + -9 + -3. Solve -3*d + 0*d = 12, -d + 8 = f*r for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 1545621 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is (-40608)\/6345*-1*(-15)\/(-12)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -3*c**2 - 8*c + 26. Determine m(-6).\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t + 5*t = 8. Suppose u = 2 + t. Calculate the highest common factor of 12 and u.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) be the second derivative of -o**4\/4 - o**3\/2 + 18*o**2 + 14*o. Determine a so that d(a) = 0.\nAnswer: -4, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -6\/5 - -352\/295. Suppose 0 = -5*d + 18 + 12. Suppose -4*p + 2*p = -y + 6, -2*y = -2*p - d. Which is greater: s or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 146 (base 9) in base 6?\nAnswer: 323","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q - 4*t = 16, 3 = q - 2*t - 3. Let x = -4.1 + -0.9. Which is the nearest to q? (a) 1\/2 (b) -4 (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 48613 to the power of 1\/2, to the nearest integer?\nAnswer: 220","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mikkiiiiii. Give prob of picking 2 i, 1 k, and 1 m.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2243874 is divided by 331?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**4\/t*t*t**(2\/9))\/(t*t*t**(-8)*t*t**(-1\/4)))\/((t\/((t\/(t*t\/t**(-2\/7)))\/t))**29*(t**(1\/3))**(8\/7)) assuming t is positive.\nAnswer: t**(-3103\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n + 2*b + 3 = 11, 15 = -5*b. Let w(x) = 2*x**3 - 11*x**2 + 5*x + 19. What is the tens digit of w(n)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-1 - 0) + (-3)\/(-15)*15. Let i be ((-2)\/r)\/((-11)\/5 - -2). Let w(u) = 7*u - 4*u - i*u. Let t(v) = 35*v**2. What is w(t(x))?\nAnswer: -70*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) be the third derivative of -8*d**4\/3 - 2*d**2 - 23*d. Let n(h) = 2*h. Calculate t(n(v)).\nAnswer: -128*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 24325 and 257425?\nAnswer: 175","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6938?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 233*n - 1625 = -631*n + 2695 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.4*-144.\nAnswer: -57.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -12136 (base 7) to base 8\nAnswer: -6133","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 25611 or 11534?\nAnswer: 25611","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is -96302510 <= -96302510?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -124 + 228. What is w rounded to the nearest ten?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 33458 a multiple of 207?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 19\/4 of a litre?\nAnswer: 4750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1\/5*s**2 - 2\/5*s + 1\/5.\nAnswer: (s - 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2 + 2 - 23) + (7 + 2 + -5 - -2)?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 7182702 and 36.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 86\/11 + -1047\/110. Find the common denominator of 96\/45 - 4\/(-6) and m.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor k**4\/4 - 9*k**3 - 115*k**2\/4 - 39*k\/2.\nAnswer: k*(k - 39)*(k + 1)*(k + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 148\/(-814) - (-178)\/11. Solve x = 5*x + n for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 39 minutes before 10:38 AM?\nAnswer: 9:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(540)*4)\/(4*sqrt(12)\/sqrt(3)))\/(3*(((-2*sqrt(125) + sqrt(125))*-2 - sqrt(125)) + sqrt(125))))**2.\nAnswer: 3\/100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -9 + -3. Let h be -8 + 605\/(-65) + 5. Which is smaller: h or z?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = 2*o**2 - o - 1. Let c be w(-1). Suppose -4*b = c*u - 10, 2*b - 2*u = 4*b - 4. What is the units digit of b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 242 - 250. Sort -1\/3, -3\/8, 0.2, i in decreasing order.\nAnswer: 0.2, -1\/3, -3\/8, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (147\/49)\/(((-6)\/11)\/((-2)\/1)).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.254 - -2.746. Which is the nearest to -1? (a) 1\/11 (b) 1\/3 (c) k (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(sqrt(114) - (sqrt(114)*-2 - sqrt(114))) + sqrt(114))\/(sqrt(24)\/sqrt(4)*4).\nAnswer: 9*sqrt(19)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (8\/14)\/(-1)*(-378)\/972\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h*h**(-3\/8))**(1\/8) assuming h is positive.\nAnswer: h**(5\/64)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 4504513?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8 + -58 + (217 - 186)?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mukkkummkuuukum. What is prob of sequence km?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19*z - 412 = 81*x + 18*z, -4*z = -2*x - 38 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1173353 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 16\/2*11\/88\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -5.57 + 3.57. What is the nearest to 0 in k, 0.09, -1\/4?\nAnswer: 0.09","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((o\/(o*o\/o**(1\/3)))\/o*o\/(o**(-1\/12)*o))\/(o*o**(-7)*o\/(o\/((o**4*o*o)\/o))))\/((o**(-2\/3)\/o*o)**(-27))**25 assuming o is positive.\nAnswer: o**(-5407\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 5\/(-2)*236\/(-10). Suppose 69 = -3*h + 7*h - 5*i, 4*h - 3*i - g = 0. What is the units digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -274 divided by -6\nAnswer: 137\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -45 - -14. Let d = 1.447 - 0.656. Let t = 0.209 + d. Is t greater than or equal to x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.4 * 17097377\nAnswer: 6838950.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f - 9 = -4*f, 3 = 3*z + 2*f. Let a be 10\/6 - 1\/(-3). Put 4, a, z in decreasing order.\nAnswer: 4, a, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -134*t**5 - 4*t + 2 - 134*t**5 + 65*t**3 + 270*t**5 + 4*t**3 + 3*t**5 - 4*t**3 + (5*t**3 + t**3 - 4*t**3)*(-4*t**2 + 0*t**2 + 2*t**2).\nAnswer: t**5 + 65*t**3 - 4*t + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 31*u - 23 = 39 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 10a - -28?\nAnswer: 135","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 3\/40 of a milligram?\nAnswer: 75000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 4 - c + 3*c)*(6 - 8 - 9*c + 5)*(-5 + 4 + 0).\nAnswer: 18*c**2 - 24*c + 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand -y**5 - y**5 + 0*y**5 + (-y**4 + 2*y**3 - 2*y**3)*(5*y - y - 2*y) - y**5 - 7*y**2 + 7*y**2 + 12*y**3 - 24*y**3 + 10*y**5 - y**5.\nAnswer: 4*y**5 - 12*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in -4, -0.3, 1\/2, 94, 1, 0.3?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 2524541487 a multiple of 481?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i - 3*i = -8. Solve i + 7 = 3*j for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j = -3*v - 2*v - 34, -2*v = 2*j + 16. What is the smallest value in 4, j, -2, -1\/5?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13437 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: What is 517 minutes before 6:52 PM?\nAnswer: 10:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f - 29 = -14. Factor 8*y**3 - f*y**3 + 1805 + 14*y**2 + 85*y**2 + 1995*y + 96*y**2.\nAnswer: 5*(y + 1)*(y + 19)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -3*t + 20. Let k(y) = y - 2. Let b(a) = 6*k(a) + x(a). Let n(r) = r - 1. Let z(s) = -b(s) + 4*n(s). Give z(0).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve f - 33 = 5*h, -7*f + f - 20 = -2*h - 78 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express (5*w + w - 4*w)*(-3 + 3 - 2*w) - w + w**2 + w as d + v*w**2 + a*w and give v.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*w - 7 = -2*y, 0 = y + 249*w - 250*w + 4 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2269*r**2 + 4486*r**2 + 29*r**3 - 2217*r**2 - 7*r**3.\nAnswer: 22*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.131 + -5.869. What is the nearest to 2\/7 in t, -3, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -2*i**3 - 12*i**2 - 4*i**3 + 29*i**2 + 9*i + 9 + 5*i**3. What is the tens digit of z(17)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -206*j**2*n**3 + 28*j**2*n**2*x**2 - 2*j**2*n**2*x + 4*j*n**2*x**2 - 2*n**3*x**2 wrt n?\nAnswer: -1236*j**2 - 12*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -9 - -19. Suppose -4*i + m = -6. Solve -i*x - 32 = -3*s, 0*x = 5*s + x - 15 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 13\/8 of a kilogram?\nAnswer: 1625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -l**3 + 7*l**2 - l + 13. Let d be o(7). Let z(p) = -3*p + 3. What is z(d)?\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 17 - 17.4. Which is the second biggest value? (a) -2 (b) -16\/7 (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) be the third derivative of -y**5\/60 - 538*y**2. Let q(o) = -971*o**2. What is z(q(d))?\nAnswer: -942841*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -113 + 115. Let q be 3*(1 + (-1)\/3). Calculate the smallest common multiple of 1\/w - (-11)\/q and 9.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 833 is divided by 394?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence imfi when four letters picked without replacement from {m: 2, k: 3, i: 2, f: 3, e: 1, v: 1}?\nAnswer: 1\/990","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h, 1 s, and 1 d when three letters picked without replacement from {b: 3, y: 2, s: 9, n: 1, h: 3, d: 2}?\nAnswer: 9\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-9)\/18 + 5\/(-2 + 12). Put 6, -8, v in increasing order.\nAnswer: -8, v, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 divided by -135681487.\nAnswer: 3\/135681487","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Determine b, given that b**3 + 14*b**2 + 35*b + 22 = 0.\nAnswer: -11, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (i + 0*i + i)*(-8 + 8 + 6).\nAnswer: 12*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 171015.\nAnswer: 3, 5, 13, 877","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6\/81)\/(2\/6).\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 412 is divided by 133?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = q**3 + 10*q**2 + 4*q. Let f be x(-4). Let o = f - 562\/7. Which is the third smallest value? (a) 2 (b) 0 (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in one fifth of a litre?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-26)\/(-221) + 14\/(-119))\/((-2)\/1). Suppose 4*w + 0 = -8. Put f, -5, 1, w in ascending order.\nAnswer: -5, w, f, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 38.7 + -38.74. Let p = -18 + 15. Which is the nearest to 1? (a) -2\/15 (b) p (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/8 of a microgram in nanograms?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-1)\/6)\/((-38)\/(-988)))\/(7\/(-21)).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -36*v**2. Let s(n) = -7*n. Calculate s(x(d)).\nAnswer: 252*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 689406642?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -271 times 3.42?\nAnswer: -926.82","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -2*o + 11. Suppose -o*x + x = 15. Let b(j) = -j**3 + 3 - j**2 - 2*j**2 + j + 0*j. What is b(x)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 180 and 11040.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3397748339 to the nearest integer?\nAnswer: 1503","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 249, 286, 337, 408, 505, 634, 801, 1012?\nAnswer: 1273","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -110581\/895 < -123?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = -2*f + 9. Solve -r = -0*r + 2*i - 10, 0 = f*i - 6 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 23 + 51. Is n a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 32088804122 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -3, -5, 1\/154650?\nAnswer: 1\/154650","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14585*t - 2532 = -14796*t for t.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 31321 is divided by 540?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o and 1 c when two letters picked without replacement from {c: 1, f: 1, q: 1, o: 2, s: 5}.\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) be the second derivative of 2875*y**3\/6 + 421*y**2\/2 - 159*y - 6. Differentiate s(h) with respect to h.\nAnswer: 2875","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -n**2 - 7*n - 3. Let c(p) = 4 + 7*p + 0 - 3. Let g be c(-1). Calculate v(g).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = a**3 + 23*a**2 + 104*a - 120. Calculate y(-16).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 388119?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -49*i + 2368. What is q(50)?\nAnswer: -82","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 - ((-6 - -2) + (4 - -2)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v = 25, -4*l - 4*v - 20 = 24. Let y(x) be the third derivative of x**4\/24 + x**3\/3 + 350*x**2. Give y(l).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(136)*1 - sqrt(136))*-4)\/((2*sqrt(64) - sqrt(64))\/sqrt(8) - sqrt(8) - sqrt(8)) - ((-2 + 5 + sqrt(425))**2 + -2).\nAnswer: -432 - 30*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*r**2 + r**2 + 6*r**2)*(6 - 6 - 6*r**3).\nAnswer: -60*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 1237 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3 in 5, -2\/5, 2270, -4?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mbzbibzppmpzbzzbb. Give prob of picking 3 p and 1 z.\nAnswer: 1\/476","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -952 - -972. What is the closest to -6 in r, 0, 3\/5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 5506832*d**3 - 3565843*d wrt d.\nAnswer: 33040992*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4158*s - 2834 - 334 - 9551 + 245 = 0 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 124 and 899.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y - 3*u = -y - 7, -2*y + 2*u + 22 = 0. Let t be (y\/25)\/(1\/30). What is the greatest common factor of 96 and t?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = 3*q**2 - 20*q - 87. Let c(r) = -20*r**2 + 119*r + 518. Let w(n) = 2*c(n) + 13*d(n). Determine w(-6).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r + 0*w = w - 162, -2*w = -2*r - 84. Let x = r - -43. Suppose x*d = -61 + 31. Let n(m) = m**3 + 9*m**2 - 13*m - 8. Give n(d).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -375189650 by 707905.\nAnswer: -530","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -125352302 = -84*c - 43*c - 31*c. Is c prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:19 PM and 1:12 AM?\nAnswer: 173","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -3 - -6. Let g be 3*1\/(b\/20). Suppose 0 = -49*s + 53*s - 12. Solve w + s*w = -g for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 459.238l to millilitres.\nAnswer: 459238","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -10, -4, 0.4, 1.\nAnswer: -10, -4, 0.4, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j = 5*c - 2*c + 41, -4*c = -4*j + 88. Suppose 3*x = -6, 0 = 5*b - x + j - 7. What are the prime factors of (18\/(-4))\/(2\/b)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 32205061 divided by -8.\nAnswer: -32205061\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 82119 and 142163.\nAnswer: 883","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -1, 1.4, -0.406, 0.3?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 109 is divided by 57.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/2*(-5 - (-8 + 3))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -g**3 + 4*g**2 + 2*g. Let d(r) = -r**2 - r. Give 3*d(j) + k(j).\nAnswer: -j**3 + j**2 - j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -2*c**2 + 18*c - 14. Let z be i(8). Factor 14*u + z - 5 - 2*u**3 - 20*u - 6*u**2 + 1.\nAnswer: -2*(u + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 9082017 to the nearest integer?\nAnswer: 3014","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.003312491 rounded to four dps?\nAnswer: -0.0033","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in -13, 0.8, -1, 0?\nAnswer: 0.8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 100010111110 (base 2) in base 8?\nAnswer: 4276","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 15432 + -15401. Let p(f) be the first derivative of -t + 37\/2*f**2 + 0*f. Let u(d) = 3*d**2. Calculate u(p(w)).\nAnswer: 4107*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = 2*u - 9. Let z be k(6). Differentiate -61 + 16*h**3 - 14*h**3 + 26*h**z + 23 wrt h.\nAnswer: 84*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -4, 39, -148 in descending order.\nAnswer: 39, 5, -4, -148","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = g**2 - g + 1. Let v be 3\/(-2)*4\/(-3). Let c(l) = 3*l**2 - 6*l - v + 8 + 5*l**2. Let r(t) = -3007*t - 12034. Let m be r(-4). Give m*j(s) + c(s).\nAnswer: 2*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -7*v**3 + 13*v**2 - 7*v - 5. Let m(q) = q**3 + q**2 - q. Let w(x) = 5*m(x) + y(x). Let p be w(8). What is the greatest common factor of 3 and p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 169201623 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*q - 4*q + 3*q)*(2 + 1 - 4)*(q**3 - 7 + 7) to y*q**4 + m + p*q + l*q**3 + j*q**2 and give y.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 1586900?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -502 - -501.9. Let i = 0.009 + -49.009. Is h less than i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 68? (a) 3 (b) 0 (c) -1 (d) -1\/3 (e) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 3624, 3608, 3574, 3516, 3428, 3304, 3138?\n\"Answer: -c**3 - 3*c**2 + 3628","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u + 2*p - 14 = 5*u, -2*u + 3*p = 1. Let w(b) be the second derivative of -b**3 - 19*b**2\/2 - 2*b. What are the prime factors of w(u)?\nAnswer: 29","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\/30 + l**6\/60 + l**5\/3 + l**2 - 7*l. Find the third derivative of f(v) wrt v.\nAnswer: 168*v + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*j + 3*n - 4 - 4, 2*j - 2*n - 4 = 0. Let g(o) = -o - 23*o**2 - o - j + 25*o**2. Let u be g(2). Which is bigger: 1 or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = 2971*c. Let u(j) = 222*j. Determine u(l(g)).\nAnswer: 659562*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -v**2 + 4*v - 7. Let n be a(0). Let d be (3 - 1 - 1) + -8. Is d not equal to n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 31 - -2. Suppose 67*i - 2352 = 11*i. What is the smallest common multiple of s and i?\nAnswer: 462","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -f + 13. Let y(j) = j**2 + 8*j + 9. Let k be y(-5). Let d = k + f. Solve -4*s + 2*s - d = -2*o, -s - 3 = 3*o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 78139928 to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4? (a) 2 (b) 52 (c) -3 (d) 2\/15 (e) -125\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nty when three letters picked without replacement from {y: 2, n: 1, t: 1, j: 9, f: 3, e: 3}?\nAnswer: 1\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = 310*z**2. Let c(q) = 5*q**2. Calculate l(c(m)).\nAnswer: 7750*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 1, g: 1, z: 1, h: 1, i: 1, a: 2}. What is prob of sequence dgh?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (3\/(82 - 1))\/((-336)\/1953) and 119\/48.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -136 = -15*g + 104 for g.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 207? (a) -0.3 (b) 4\/3 (c) -73504\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 165 + 2060?\nAnswer: 2235","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -3*a - 24. Give u(3).\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -7*l**3 + 109*l**2 - 257*l + 119. Let n(q) = -16*q**3 + 217*q**2 - 516*q + 237. Let c(s) = 6*n(s) - 13*r(s). Factor c(g).\nAnswer: -5*(g - 1)**2*(g + 25)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 73, 78, 97, 136, 201, 298, 433?\n\"Answer: u**3 + u**2 - 5*u + 76","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 4, n: 2, x: 4, p: 1, k: 1, i: 3}. Give prob of sequence yp.\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -9*i**2 + 772*i + 164. Determine a(86).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2.628 - 32.675. Let n = -5.995 - t. Let i = n - 24. Round i to 2 decimal places.\nAnswer: 0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -5*a**2 - 70*a + 44. Give f(-14).\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 31\/742624 and -27\/14573996.\nAnswer: 116591968","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 21 - 15. Suppose -24 = -6*n + 3*n. Calculate the smallest common multiple of o and n.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m - 2*m = -2*m. Is m less than or equal to 5\/18?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -95\/53286 and 37\/1162?\nAnswer: 373002","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000201135489 rounded to 7 dps?\nAnswer: -0.0002011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 23293.4 meters in millimeters?\nAnswer: 23293400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -10787 (b) 6\/11 (c) -1 (d) 4 (e) 2\/11 (f) -4 (g) -0.4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*y - 21155 = 5*y - 20483 for y.\nAnswer: -42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = 4*m + 15*m**2 - 21*m + 144 + 4*m**3 - 5*m**3 - 155. What is the tens digit of t(13)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2033, 8133, 18301, 32537, 50841, 73213, 99653?\nAnswer: 130161","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 109862922*o**2 - 44154282 wrt o?\nAnswer: 219725844*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3.2 - -1.8. Put y, 4\/5, 4 in decreasing order.\nAnswer: y, 4, 4\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -4055 at most as big as -4055?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 50 and 140?\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 18 and -76521.\nAnswer: -1377378","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 840361033 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 22430430 divided by 2039130?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = 6*i**2 + 6*i + 3*i**3 + 2 + 5*i**3 + 6*i**3 - 15*i**3. Let c be 1 + 2\/3*9. What is s(c)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 36491, 72982, 109473, 145964, 182455?\nAnswer: 218946","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = y - 2. Let c be s(3). Let v = 2 - -1. Suppose -v*t + 0 = -9. Solve t*a - c = -10 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -28*b + 5. Let a(v) = -27*v + 4. Let s(i) = -5*a(i) + 4*h(i). Let m(k) = -k**2. Determine m(s(g)).\nAnswer: -529*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 45.8237 years in decades?\nAnswer: 4.58237","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*a = -5*z, -4*z + 3*a - 28 = -0*a for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 399 + -114. Let t = z + -190. Suppose 25 = r - 13. What is the highest common factor of t and r?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -4 + 12 - (-6)\/(-2). Let j = g - -2. What is the remainder when 25 is divided by j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -r + 5 = -2*b, 69*r + 6 = -b + 70*r for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -9*(12\/(-9))\/2. List the prime factors of (-150)\/(-9) - 4\/u.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*u - 2*u - 52*u**3 + 56*u**3 + (-u + 3*u + 0*u)*(-1 - 2*u**2 + 1) + u + 5*u**3 - u to x*u**3 + q*u + w + j*u**2 and give q.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -144 = -3*k + 141. Suppose -k = -3*u - 2*u. What is the remainder when u is divided by (5*2)\/(0 + 1)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**1)**(28\/5))**(-27) assuming m is positive.\nAnswer: m**(-756\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -139\/70 and -111\/50?\nAnswer: 350","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x = 2, -5*w + 3*x - 45 + 248 = 0. Is w a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -40 - 30422?\nAnswer: -30462","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 144\/(-4608) - 131\/(-96)?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve x + h = 8, -36*h = 5*x - 38*h - 26 for x.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -89\/34 and (3\/12*4)\/(54\/381)?\nAnswer: 306","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 71 is divided by 13.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide -20396376 by -156.\nAnswer: 130746","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -36892*o**3*v**3 + 4*o**3*v - 6974 wrt v.\nAnswer: -221352*o**3*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -40 + 40*d + d**2 + 9*d**2 + 56*d.\nAnswer: 2*(d + 10)*(5*d - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 19540073?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 897142 less than 791624.63?\nAnswer: -105517.37","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -q**2 + 5*q + 3. Let y be b(6). Let d(a) = -9*a - 4. Let n(k) = 10*k + 3. Let o(s) = y*d(s) - 4*n(s). Let l(j) = 2*j. What is l(o(h))?\nAnswer: -26*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 459 + j**3 - 110 + 43*j - 37*j + 76*j + 3*j**3 wrt j?\nAnswer: 12*j**2 + 82","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*d - 4*j - 12 - 6 = 0, -2*d + j = 2 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) be the third derivative of s**5\/20 - s**4\/12 - 7*s**3\/6 - 32*s**2. Suppose 12 = -3*h + 5*r + 1, 6 = -2*h + 4*r. What are the prime factors of p(h)?\nAnswer: 2, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*r**4 - r**4 - 2*r**4)*(0 + 0 - 2) - r**4 + 6*r**4 + r**4.\nAnswer: 4*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 168\/2*(220\/644 - 74\/(-851))?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -22110 - 10442402?\nAnswer: -11020012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y**20*y**(2\/37)*y**(-2)*(y**(-33)\/y)\/y assuming y is positive.\nAnswer: y**(-627\/37)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - b - 5)*(2 - 1 - 4) + b + 2 - 2 + b + 0*b + 0*b - 1361 + 1361 + 18*b + (1 + 1 + 0)*(-3*b + 3*b + b) + 4*b - 5*b + 3*b - 5 + 5 - 2*b - b + 4*b - 6*b.\nAnswer: 22*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -10.56 rounded to 1 dp?\nAnswer: -10.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*w + 0*w + 0*w + (4*w - 4*w - 2*w)*(-4 - 1 + 3).\nAnswer: w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 62.2775um?\nAnswer: 0.0000000622775","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 + 2*u - 2)*(-3*u + 0*u + 5*u + (u + 1 - 1)*(-3 + 1 + 0) - 2*u + 0*u + u)*(2 - 3 + 4) to the form m*u + x + f*u**2 and give m.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 4\/3, 5, -584?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 greater than or equal to -42\/3529?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 10012220021 + 1?\nAnswer: 10012220022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -6*z**2 - z + 2. Let a(n) = 5*n**2 - 2. Determine -4*a(b) - 5*v(b).\nAnswer: 10*b**2 + 5*b - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*w - 10 = -6*w for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 8 and 161398?\nAnswer: 645592","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*i + 8 + 1, -4*i - 2*i = 5*f - 27 for f.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -151448*w = -151453*w - 2*m - 14, 3*w - 51 = -21*m for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -30719*o**3 + 36*o**2 + 171?\nAnswer: -184314","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 28\/1883997 and 9\/4814659.\nAnswer: 43331931","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 24087921 - 24087994.000444. Let l = 101 - 174. Let u = w - l. What is u rounded to 5 dps?\nAnswer: -0.00044","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*f + 13 = -3*t, -5*f + 235 - 277 = -2*t for f.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 16149? (a) -3.2 (b) 3 (c) -6 (d) 1\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2320, 2379, 2438, 2497?\nAnswer: 2556","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -2653.701789 to the nearest one hundred.\nAnswer: -2700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -670318, -1340635, -2010952, -2681269, -3351586, -4021903?\nAnswer: -4692220","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*g - 1544 = -4*g. Suppose 83 = 7*x - g. Let c = x - 55. Solve -c = -0*t + t + 3*n, n = -5 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) be the third derivative of 163*i**6\/60 - 73*i**5\/4 + 267*i**2. What is the third derivative of b(g) wrt g?\nAnswer: 1956","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -5 - 261?\nAnswer: -266","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/5 of a microgram in nanograms?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(114) + 2*sqrt(114)*1 + sqrt(114))*-2)\/(-5*(sqrt(54) - sqrt(6))*3) + -3)**2.\nAnswer: -8*sqrt(19)\/5 + 2329\/225","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 875765 a multiple of 221?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 + (6 - 7) + -8.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -4*f, 3*f = -2*z - 0*f + 14. Suppose z*d - 236 = 492. What is the units digit of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (1\/4*-2)\/3. What is the biggest value in q, -0.6, -1\/2, -1\/3?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -63*a - 98571 = -86881 - 230993. Is 32 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**0*c*c)**(27\/2)*(c**9*c)\/(c*(c**7\/c)\/c)*(c**(1\/2))**(-49)\/(c**(-2\/9)\/c**(-2\/3)) assuming c is positive.\nAnswer: c**(109\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = f**3 + 9*f**2 - 10*f - 127. What is the remainder when 448 is divided by u(-7)?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n + 2*n = 4*j - 23, -2*n + 14 = 2*j. Suppose 28 = j*z + 2*z. Suppose 4*s - 41 + z = -2*l, 17 = l - 5*s. Solve 5*q + 16 = q, -l = 3*p + 2*q for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12669720 - -4.186242?\nAnswer: 12669724.186242","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 7122410?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 11366 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 7292 + -7267. What is the closest to 3\/35 in b, -4, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 125\/276 and -25\/368.\nAnswer: 1104","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = 0*u - 2*u + 3*u. Suppose -p = -5 + 1. Let x(h) = p + h - 4. What is t(x(g))?\nAnswer: g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -3*k**2. Let g be (-2)\/4*0\/(-3 + 1). Let d(a) be the first derivative of 0*a**2 - 1\/3*a**3 + g*a - 14. What is l(d(u))?\nAnswer: -3*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 21 divided by 17481.\nAnswer: 7\/5827","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*k**2 + 4*k**2 - 4*k**2)*(5*k - k - 3*k) - k**3 - 2 + 2 + (2*k + 2*k - 3*k)*(-3*k**2 + 2*k**2 + 3*k**2).\nAnswer: -5*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 1115385 to the power of 1\/2, to the nearest integer?\nAnswer: 1056","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -103*j**3 + 7*j**2 + 9*j + 6. Let s(g) = -52*g**3 + 3*g**2 + 4*g + 3. Let n(k) = 4*q(k) - 7*s(k). Is n(-4) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) be the second derivative of 865*y**4\/12 - 11*y**3\/6 + 5*y**2 - 2*y + 1. Does 16 divide l(1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 9\/2 - 2\/(-4). Let y be -8 + 8 + (-12)\/2. Let x = y + d. Let j(z) = -z. What is j(x)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence elrr when four letters picked without replacement from zlezrrzzzzzzleze?\nAnswer: 1\/3640","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 582 minutes after 8:07 AM?\nAnswer: 5:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2\/18735 (b) -2\/3 (c) 1 (d) 6\/11 (e) 37\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 2 + 2)*(3 + 5 + 2)*(0 + 0 - 2*w) - 2*w + w + 2*w.\nAnswer: 21*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 7 or -230?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 34616560.\nAnswer: 2, 5, 11, 139, 283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 9888\/(-144)*(-27 + (-5 - -2)). Calculate the highest common factor of a and 20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 41 - (-44 + 68) - -16?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -1*9\/6*(-868)\/(-186)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2373611 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = t**2 - t. Let w be a(-1). Is (-42)\/(((-3)\/w)\/1) a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1599?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -7 - -9. Let h(m) = -3 + 3*m - m**2 - 2*m**s + 2*m**2 - m**2. Let x(b) = b**2 - b + 1. Let r(v) = -2*h(v) - 6*x(v). Let j(p) = 5*p. Give r(j(n)).\nAnswer: -50*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(140)\/sqrt(5) + 0 - (-1 + (sqrt(77)\/(sqrt(22)\/sqrt(2)))**2).\nAnswer: -6 + 2*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 717*r = -104603 + 68753 for r.\nAnswer: -50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -10, -178, -670, -1648, -3274?\nAnswer: -5710","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 6252 and 500.\nAnswer: 781500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = -3*i, -943 = -0*y - 4*y - 3*i. What is the first derivative of -64 - 120*h + y*h - 135*h wrt h?\nAnswer: -23","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*y + 9*y**2 + 0*y)*(5*y**3 - 3*y**3 - 3*y**3) + (0*y**4 + 0*y**4 - y**5)*(1 + 1 + 0) + 0*y**5 - y**5 + 2*y**5.\nAnswer: -10*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + -88 - -2 - (38 + (-16 - 30)).\nAnswer: -76","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ss when two letters picked without replacement from vsns?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) be the third derivative of u**5\/15 + u**2. Let k(w) = 2*w - 4. Let m(h) = 4*h - 9. Let l(x) = 9*k(x) - 4*m(x). What is l(j(n))?\nAnswer: 8*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -23 + 16. Let t = -3 - u. Solve 0 = -9*z + 5*z, 4*f + t = -5*z for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-26)\/(-91) - 4\/14.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -178949 * 0.4.\nAnswer: -71579.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = z**3 + 4*z**2 + z - 2. Let o be v(-2). Let t = -3 + o. Let i be (3 + (-3 - t))*0. Solve i = x + 4*x - 15 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 8 and 376?\nAnswer: 376","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 58 and 1687858?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 13647135 take away 7417628?\nAnswer: 6229507","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h = -4*h + 380. Suppose 6*z - h = 2*z. Calculate the remainder when z is divided by (-129)\/(-27) + (-2)\/(-9).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4 - -8) + -11 - (-18 - -17)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -c**2 - 18*c - 43. Let h be -1*11 + -2 + (-2 - 0). Let k be u(h). Find the third derivative of -4538*d**3 + 4538*d**3 + 20*d**4 - 12*d**k wrt d.\nAnswer: 480*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.7 - -0.4. Let d = 0.4 - m. Let y = d + -0.699896. Round y to 5 decimal places.\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 605 + 27?\nAnswer: 632","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/25 of a gram in milligrams?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -78.2 - -78.7. What is the second smallest value in 5\/3, -0.2, 0, o?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find g such that -2*g**2\/11 + 8519932*g\/11 - 9073655160578\/11 = 0.\nAnswer: 2129983","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 71065?\nAnswer: 5, 61, 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*z**5 - 3627236*z**4\/5 - 54660108116*z**3\/5 + 4841567837108*z**2\/5 - 1023344332016*z + 1275536149872\/5 = 0.\nAnswer: -30271, 2\/5, 2\/3, 87","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:37 AM and 8:36 PM?\nAnswer: 599","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -116 - -1221. Let u = t + -165. Suppose 3*h - 950 = -2*h - k, 0 = 5*h + 3*k - u. What is the hundreds digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -19\/495085, -0.3, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is f in 12*f**4 + 34696*f**3 + 2576988*f**2 - 4368256*f + 1756560 = 0?\nAnswer: -2815, -78, 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*f**3 + 89 - 89.\nAnswer: -11*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 505 and 132815?\nAnswer: 505","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 23 + 2 + -225 + 113?\nAnswer: -87","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n and 2 t when three letters picked without replacement from ttntnnntntnn?\nAnswer: 7\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -565*x + 570*x - 9 = 3*o, 5*o + 15 = 3*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 68\/(-4) + 2\/(-1). Let b = m - -35. What is the highest common divisor of 16 and b?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b = 4*i + 56, -4*b - 4 = 2*i - 0*b. Let r be 22\/i + 3\/15. Does 13 divide 3*-1 - (r + -45)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c - q + 22 = -3*q, 3*q = 2*c + 7. Let d(v) = v**3 + 5*v**2 - 3*v + 2. What is the smallest common multiple of 2 and d(c)?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) be the second derivative of r**3\/6 + 29*r**2\/2 + 3*r - 63. Calculate d(-17).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x + q = 6 + 10, 0 = -3*x + 4*q + 12. Solve d + 3 = x*o - 8, 11 = 5*d + 2*o for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7 + 26 + 18 - 543*d**2 - 14.\nAnswer: -543*d**2 + 37","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r + h + 2 = 4, -5*h + 23 = 3*r. Let l be r + -2 + 75 + (-9)\/1. What is the greatest common factor of 65 and l?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 779 + -9?\nAnswer: 770","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 490 minutes before 4:25 PM?\nAnswer: 8:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -12*y + 5*p + 60 - 73, -y - 5*p + 26 = 0 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -88465*h**2 - h - 21637 wrt h.\nAnswer: -176930","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 147\/2*(16\/(-12) + 2). Suppose t = -6*t + o. What is the greatest common divisor of t and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-5)\/(-2))\/(3115\/(-356))?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 67*z = 75*z - 24. Suppose 1338 = z*t - 4*d - 565, -2*d - 2554 = -4*t. What is the hundreds digit of t?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 2\/(1\/(3 + -6)). Let m be g\/8 - (-11)\/44. What is the nearest to 0.2 in -4, 4, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 3\/230 and 81\/37530020.\nAnswer: 37530020","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 20573805?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -s**2 + 1167*s + 29812. Determine z(-25).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 17a72 - 3e?\nAnswer: 17a33","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((2 + 2 - 5)*(u + 4*u - 3*u) + 7147*u - 11945*u + 6105*u)*(0*u + 2*u + 0*u) to z + n*u + k*u**2 and give k.\nAnswer: 2610","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = 4*n**2. Let j(c) = -c + 1. Determine -3*f(y) - j(y).\nAnswer: -12*y**2 + y - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 714 in 8\/13, -5\/2, 2, -4\/9, 0.81, 1\/3?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*m + 6 = -12 for m.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*g + 3*c + 124606, -99682 = 116*g - 120*g + 2*c. What is the hundreds digit of g?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4189.725 decades in millennia?\nAnswer: 41.89725","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -6.457 to 0 dps.\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-78 + 0)\/((-1)\/1). Suppose -5*x + r = -2. Let d(v) = -v**3 + 7*v**2 + 8*v + 8. Let s be d(8). What is the greatest common divisor of x and s?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.01 + -0.39. Let l = 8.1 + -7.9. Let q = l + p. Which is the closest to 0.1? (a) 3 (b) q (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (5\/(-75)*-4)\/((-6)\/(-5))?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 37cd89 + -3?\nAnswer: 37cd86","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 1493794891 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:47 AM and 11:35 AM?\nAnswer: 468","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 times 8716?\nAnswer: -26148","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -180438*0.0406.\nAnswer: -7325.7828","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 29615104 and 29615104?\nAnswer: 29615104","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -4289 + 4301. Solve -y = 4*z - 5*m, -8 - 4 = 4*z + m for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -49 + 61. Let g(q) = 8 - 13*q + 6*q**2 + q**3 - m*q + 27*q. What is g(-6)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1\/2, 857\/8, 1\/9?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:25 AM and 12:43 PM?\nAnswer: 558","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 183 divided by 1.\nAnswer: 183","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1943 in 0.21, -11, 0.12, 4?\nAnswer: -11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 233765 is divided by 4032.\nAnswer: 3941","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 2970 to the power of 1\/6, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -12 - j + 25 - 7 + 3. Let x(t) = -2*t**3 - 2*t**2 + 2*t + 1. Let y be x(-2). Determine d(y).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -4*m**2 - 4*m + 2. Let i(d) = -3*d**2 - 3*d + 3. Suppose 10*g = 13*g + 6, -4*g + 7 = -5*x. What is x*i(r) + 2*c(r)?\nAnswer: r**2 + r - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = d + 1. Let w(v) = -3*v - 6. Suppose -6 = r + 4. Let q(g) = r*t(g) - 2*w(g). Find the first derivative of q(b) wrt b.\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 26 divide 11802119?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 55421985*s**2 - 110843973*s**2 + 1 - 1 + 55421983*s**2.\nAnswer: -5*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.9212238 millennia in months?\nAnswer: 11054.6856","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -274*p = -271*p + 15 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) be the second derivative of r**3\/3 + 48*r. Let v(d) = -23*d. Determine v(o(i)).\nAnswer: -46*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve z = 4*r + 5*z + 12, -23 = r + 5*z for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 221350586 to the power of 1\/6, to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -98*k + 190*k - 91*k - 46. Let f(i) = 3*i**2. Determine n(f(z)).\nAnswer: 3*z**2 - 46","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -14.5 - -150.5. Let f = 135.99993 - d. Round f to five dps.\nAnswer: -0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*r**3 + 1295*r**2 - 229300*r + 228000.\nAnswer: 5*(r - 120)*(r - 1)*(r + 380)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -13, -21, -23, -13, 15, 67, 149, 267?\nAnswer: 427","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 828199113 a multiple of 399?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 d when two letters picked without replacement from dxddxxx.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0, -4, -0.04, 4\/67?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (5 - (10 + -9)) + (2 - 1).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 251 minutes after 7:39 PM?\nAnswer: 11:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -54.65 - -54. Let l = 0.08 - -0.47. Let g = f + l. Which is the nearest to g? (a) -0.3 (b) -0.2 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 589 + 2\/(-1)*1. Suppose 0 = 5*r + 2*l - 599, 4*r - 4*l - z = -r. Suppose 3*p - 2*p = r. Is p a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1726?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 7, 548, -11?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -90666\/35 + 2590. Let c = 33073\/35 - 945. Let f = w - c. Is f < -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 + -23 + (13 - 14)\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 3434130 (base 5) to base 13\nAnswer: 22181","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 39 - 39 - 5*n + 16*n to the form g + j*n and give j.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let 184 + 4\/7*d**2 + 212\/7*d = 0. Calculate d.\nAnswer: -46, -7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 377089?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 411807 is divided by 795?\nAnswer: 792","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -10377 or -10420?\nAnswer: -10420","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) be the third derivative of 2*p**5\/5 + 4*p**2. Let l(s) = -7*s - 10. Let m(x) = -3*x - 4. Let g(h) = 2*l(h) - 5*m(h). What is g(r(w))?\nAnswer: 24*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1268*f = -y - 1263*f + 4, 16 = 4*y - 3*f for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3\/((-66)\/11)*(-506)\/(-11).\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) be the second derivative of -17*q**4\/4 + 25*q**3\/6 - 21*q**2 + 96*q. Let i(n) be the first derivative of z(n). What is the derivative of i(m) wrt m?\nAnswer: -102","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -203*z = -16*z + 2882 + 1980 for z.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 17.5872 + -0.04498\nAnswer: 17.54222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (w**4 - 6*w**4 + w**4)*(1 + 2 + 0) + 9*w**3 - 9*w**3 + 9*w**4 + (4 - 4 + w)*(-2*w**3 + 0*w**3 + 0*w**3).\nAnswer: -5*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven tenths of a gram in milligrams?\nAnswer: 1100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 2800, 5599, 8398?\n\"Answer: 2799*f + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out 7764 * -14.8.\nAnswer: -114907.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 10 + 6*(-20)\/16. Put n, -5, 0.3, -6 in descending order.\nAnswer: n, 0.3, -5, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -201*j = -10640 + 6017 for j.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -25 + (-34 + 29 - -25) + (10 - 0) + -105.\nAnswer: -100","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2340 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-4)\/6)\/1*(-171)\/266?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 70\/18 + -1 - 18\/(-162). Let o = -11 + 16. Suppose s*p = 5*m - 84, -4*m + o*p - p = -72. What is the units digit of m?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 7, u: 1, i: 6}. What is prob of sequence oiii?\nAnswer: 5\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 17426157?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-1\/15))**(-10) assuming q is positive.\nAnswer: q**(2\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -51 - -109. Suppose 4*o - b = 2. Find the second derivative of 13*x**3 - 2*x - o*x + 6*x wrt x.\nAnswer: 78*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) be the third derivative of 0*b**3 + 0*b + 2*b**2 - 3\/8*b**4 + 0. Let p(i) = -2*i. Calculate p(h(n)).\nAnswer: 18*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = 11*f**2 + 6*f + 1. Let h(t) = -10*t**2 - 5*t - 1. Let g(u) = -4*c(u) - 5*h(u). Calculate g(-1).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 3\/(1 - (-132)\/(-40) - -2). Let u be (8\/(-16))\/((-1)\/x). What is the nearest to -0.1 in u, -4, 5?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 9 + -4. Suppose 3*l = 0, -j*n = -l + 5*l - 5. Is (1 + -54)\/(n + -2) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) be the second derivative of q**7\/105 + q**6\/75 - q**5\/25 - 8*q. Factor m(i).\nAnswer: 2*i**3*(i - 1)*(i + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -15699535 and -40.\nAnswer: -15699575","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 36 and 243.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) be the second derivative of -a**2 + 0 - 2\/3*a**3 - a. Suppose x - 1 + 3 = 0. Determine i(x).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -75616 (base 8) to base 13\nAnswer: -11521","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2297407*s + 2297403*s + 14 = -2*y, -s - 2*y = -11 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Work out 39 * 4.\nAnswer: 156","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put -17, 4, 205 in ascending order.\nAnswer: -17, 4, 205","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(21)\/(sqrt(35)\/(-3*sqrt(5))).\nAnswer: -3*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/5 of a kilogram in grams?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(1\/7))**(1\/14)\/(k**(3\/4)\/(k\/((k*k*k\/(((k\/(k\/(k\/(k*k**(2\/11)))))\/k)\/k))\/k))) assuming k is positive.\nAnswer: k**(-8455\/2156)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1102902 or -25?\nAnswer: -1102902","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 662 minutes after 9:22 AM?\nAnswer: 8:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 30365?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1 + 21. Calculate the greatest common factor of t and 198.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k\/k**2*k**(-7))**(-36) assuming k is positive.\nAnswer: k**288","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 83\/25097380 and -3\/260752.\nAnswer: 100389520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express -6 + 6 + 1445*m**2 + 3729*m**2 in the form d*m**2 + n*m + t and give d.\nAnswer: 5174","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 822383934.\nAnswer: 2, 3, 31, 53, 83423","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -32 = -4*d, 4*r - 3*d = -0*d - 4 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -43, -235, -555, -1003?\n\"Answer: -64*m**2 + 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(26)*-2*1 + sqrt(26) - sqrt(26))\/(sqrt(8)*-6).\nAnswer: sqrt(13)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -5*i + 5 - 3*i - 6*i - 9*i + 24*i. Determine t(6).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*((sqrt(405)*2)**2 - 2*(sqrt(20))**2) + -3*(sqrt(5) + 2*-2*sqrt(5) - (-1*sqrt(20))**2).\nAnswer: -4680 + 9*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (1\/(-2))\/(6\/(-84)) + -3. Solve v*q - 5 - 3 = 0 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -274 - -274.804. Let h = 0.196 + m. Which is the third smallest value? (a) -29 (b) h (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 9\/(-27) + (-2761055)\/3. Let i = q + 1290352. What is i rounded to the nearest one hundred thousand?\nAnswer: 400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.028 - -0.528. Let f = 12.9889 + 0.0111. Sort -2\/7, w, f, 2 in descending order.\nAnswer: f, 2, w, -2\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3 + -1.4. Let x = 1.4 - k. Put x, 2, 7\/4 in ascending order.\nAnswer: x, 7\/4, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = 19*y**3 - 4*y**2 - 4*y + 8. Let h(j) = j**3 + j**2 + j - 1. Determine 4*h(z) + s(z).\nAnswer: 23*z**3 + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 84*a + 74*a + 20 = 154*a for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 19, -10, -39, -68, -97?\n\"Answer: -29*m + 48","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 1322 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3346 - -6523\/2. Let n = 86 + w. Put -1, -3, n in decreasing order.\nAnswer: n, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 18 (base 9) to base 4\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -4*r**2 + 3*r + 7. Let d(t) = 13*t**2 - 8*t - 22. Let w(v) = -14*c(v) - 4*d(v). What is the hundreds digit of w(8)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (39 - 9 - 3 - 27 + 3515*n)*(4*n - 4*n - 7*n**2).\nAnswer: -24605*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -21*332\/43575*1\/(-4).\nAnswer: 1\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*z = -12 + 2. Solve b + z = -w + 3*w, 3*w - 4*b + 1 = 0 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -4*v**2 - 440*v + 5851. Determine t(-122).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*r = -24*r - 328. Let n = 163 - r. Factor -320*u - n*u**2 + 36*u**3 - 182 + 120 - 50.\nAnswer: 4*(u - 7)*(3*u + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1)\/(5\/((-45)\/(-12))))\/((-117)\/(-390)).\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 4 + 0 - 2*f**2)*(-26*f**2 - 26*f + 26*f) + 0*f**3 + 0*f**3 - 2*f**4.\nAnswer: 50*f**4 + 26*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*v + 2*g - 8 - 2, v + 4*g - 20 = 0 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2307\/196 + 95\/147. What is the common denominator of a and 11\/10?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1294 is divided by 12.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = 3*t + 43. Let d(w) = w**2 - 3*w - 43. Let v = -217 - -223. Let z(c) = v*d(c) + 5*f(c). What is the first derivative of z(y) wrt y?\nAnswer: 12*y - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 38051706 and 20755476.\nAnswer: 228310236","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -n**2 + 11*n - 7. Let q be c(10). Suppose -8*l = -q*l - 620. Let r = l + -870\/7. Which is greater: r or -7?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -766, -3059, -6878, -12217, -19070, -27431, -37294, -48653?\nAnswer: -61502","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 4 + 0. Suppose k*b - 892 = -b - 4*d, -b + 164 = -4*d. Suppose 5*z - 354 = b. Is z composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 2215 - 2?\nAnswer: 2213","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -65 + 53 + (-2 - -15)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 312.015 and 0.4?\nAnswer: 124.806","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -252*t = -258*t + 24 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 27 - (2\/(-1) - -3). Suppose -18*a = -14*a - 1144. Calculate the highest common divisor of u and a.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 4760 and 13920824?\nAnswer: 487228840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) be the third derivative of p**6\/10 - 39*p**5\/20 - 447*p**2. Factor k(u).\nAnswer: 3*u**2*(4*u - 39)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 68976 divided by 9\nAnswer: 7664","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: ((-1)\/1)\/(-3*(-3)\/1)\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -4626 - -4746. What is the greatest common factor of 12 and z?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: Round 719 to the nearest one hundred.\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express 3 - 3 - 415*r - 50*r + (-2*r + 5 - 5)*(-1 - 4 + 3) + r + 2*r - 5*r - 6*r + 3*r + 2*r - r + 0 + 0 + (-3 - 4 + 5)*(1 - 1 - r) as j*r + t and give j.\nAnswer: -463","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l + 6 = -4, 1180 = 3*n - 5*l. Let p = n - 385. Solve -2*u + 4*r = p, 0*r - 2 = 3*u - 5*r for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = y**4 + y**3 - y**2. Let n(o) = 5*o**5 - 98*o**4 + 672*o**3 - 2202*o**2 + 3240*o - 1620. Let g(a) = 3*h(a) + n(a). What is j in g(j) = 0?\nAnswer: 1, 3, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 42623087 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -105 divided by -4896.\nAnswer: 35\/1632","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u - 12 + 4 = 0. Suppose -5*w + 32 = 2. Let s = u + w. What is the units digit of s?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 590.\nAnswer: 2, 5, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.3139 + 0.6861. Suppose q + q - 6 = 0. Let p = -14\/117 + -4\/39. Which is the closest to y? (a) p (b) 3\/8 (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*n**2\/2 + 18645*n\/2 + 102729.\nAnswer: -3*(n - 6226)*(n + 11)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-2)\/11 + (-22023176)\/1760. Let a = -12517 - w. What is the common denominator of 7\/20 and a?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -138 + 137.7. Sort -10, -0.4, g in ascending order.\nAnswer: -10, -0.4, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f = -4*c + 403, 4*c + 6*f - 3*f - 423 = 0. Suppose 34*z - c = 32*z. What is the remainder when z is divided by 245\/(-14)*8\/(-10)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -1, -4, 30, 1600, 22 in descending order.\nAnswer: 1600, 30, 22, -1, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/36)\/(36\/(-144))?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 198 by 99.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = 481*b**3 - 9*b**2 + 11*b - 19. Let o be w(9). What is o rounded to the nearest 10000?\nAnswer: 350000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11490198233 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -155*v + 133768059 - 133765269 = 0 for v.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -9 + (-11 - -10) + 1.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 21 by -159042.\nAnswer: -7\/53014","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2 - 930032*f**3 - 8*f + 22 - 105*f**2 + 8*f + 930033*f**3 to the form o*f**2 + c*f + n*f**3 + a and give n.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(64)*3)\/(sqrt(200) - ((sqrt(200) + -1*sqrt(200) - sqrt(200)) + sqrt(200) - sqrt(200))).\nAnswer: 3*sqrt(2)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -222479972, -222479970, -222479968, -222479966, -222479964?\n\"Answer: 2*h - 222479974","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((s**(-1)*s)\/(s*s**7*s))\/((s**(4\/25)*s)\/(s*s*s**(-19))))**(-22) assuming s is positive.\nAnswer: s**(14938\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -32*-1.52\nAnswer: 48.64","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 2659627 to the power of 1\/2, to the nearest integer?\nAnswer: 1631","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -5 (b) 5 (c) -103\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -26 (base 9) to base 4\nAnswer: -120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.1952 - -12.8148. Let p = x + -13. Let o = -1.99 - p. What is the closest to 2\/5 in o, 5, 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*y**2 - 5*y + 12159*y**3 - 12161*y**3 - 17*y**4 + y**2 to j*y**4 + m + s*y**3 + t*y**2 + k*y and give t.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = v**2 - 8*v + 7. Let k be g(7). Let r(x) = -x**2 - 6. Determine r(k).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1519 is divided by 29.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -345 + 347 - (37\/38)\/((4 - 5)\/(-2)).\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 23 - 20 - (-2 - (0 - 2)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36 = -2*j - j. Calculate the remainder when (-4)\/j + (-201)\/(-9) is divided by 8.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1343 (base 8) to base 5.\nAnswer: -10424","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 23 is divided by 21?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*4*(3 + ((sqrt(121)*1)\/sqrt(11) - sqrt(11))).\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 337173646?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -1531538 rounded to the nearest 10000?\nAnswer: -1530000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = 3*z + 2. Let j be d(0). Suppose j*l - 79 = -4*f + 103, 5*f - 373 = -4*l. Is l prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -m**3 + 9*m**2 + 10*m + 7. Let r be k(10). Let s be 2\/r + 12\/7. Suppose b + 3*b = -s*v + 50, 4*v - 40 = -2*b. What is the units digit of b?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*p - 10 - 149. Let w = p + 585\/11. What is the second biggest value in 2\/7, -0.2, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6014902997 - 15?\nAnswer: 6014902982","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 684516*k*p**3 - 9*k*p**2 - 482*k*p - k + 3*p**2 wrt p?\nAnswer: 4107096*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*(-1*sqrt(245) - sqrt(245)))**2 + -2)*1.\nAnswer: 978","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -590546, -590543, -590546, -590555?\n\"Answer: -3*v**2 + 12*v - 590555","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*z = 8, 4*f + 4*z - 7 = 17 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.1636248 - -0.1635. Round i to four decimal places.\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 63 minutes after 9:38 PM?\nAnswer: 10:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26*d - 19*d + 7 = 0 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -339 (b) -38 (c) -3 (d) 1.7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 4226*l = 4259*l - 132. Let f(j) be the second derivative of -1\/2*j**l + 3\/20*j**5 + 0 + 0*j**2 + 7*j + 0*j**3 + 1\/10*j**6. Factor f(r).\nAnswer: 3*r**2*(r - 1)*(r + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-8)\/(-11) + 15295\/(-21945).\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*d**3\/9 + 81842*d**2\/9 - 163666*d\/3 + 81830.\nAnswer: -2*(d - 40915)*(d - 3)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -3*q**2 - q - 2. Let u(g) = 125*g**2 - 100*g - 13. Let f(a) = -6*k(a) + u(a). What is the second derivative of f(o) wrt o?\nAnswer: 286","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3\/10? (a) 3 (b) -0.5 (c) 0.0893 (d) -12 (e) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*f**2\/9 + 24212480*f\/9 - 36640261734400\/9 = 0.\nAnswer: 3026560","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Determine b, given that -324 - 4*b**2 + 10*b - 44*b + 106*b = 0.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -9, -301, 1 in decreasing order.\nAnswer: 1, 0, -9, -301","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -6 + 10. Suppose 6 = -3*y + q*y. What is the smallest common multiple of 2\/6 + 46\/y and 6?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 363850?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 + (-2 + 8 - (6 + -3))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:51 PM and 8:34 AM?\nAnswer: 583","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -22253 and -805.\nAnswer: 17913665","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 664 minutes after 2:10 AM?\nAnswer: 1:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (10701\/(-1595) - 12\/10) + 2 + 0 + 4\nAnswer: -21\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2207 - 2192 - (2 - -76)?\nAnswer: -63","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = 3*z**2 + 5 + 9 + 2*z - 16 - z**3. Let s = -80 - -82. Calculate n(s).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-3)\/2)\/(1\/4). Let k = -2 - x. Suppose -4*b - 2*r + 4 = 0, 8 = -0*r - 2*r. What is the remainder when k is divided by b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2437 <= -2439?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 406188?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) be the first derivative of -2*g**3\/15 + g**2\/5 + 4*g\/5 + 4. Factor z(d).\nAnswer: -2*(d - 2)*(d + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-7*(-24)\/2310)\/((-11)\/(-440)*8)?\nAnswer: 4\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 325 minutes after 1:29 AM?\nAnswer: 6:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6271 + 16657 - a - 10386.\nAnswer: -a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1496\/345 + -5\/138. Suppose -20 = 2*o - 5*s, -9 = 4*o - 3*s + 31. Find the common denominator of (42\/(-20))\/(36\/o) and n.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*g - 3*w - 18, g = -2*w - 1 - 2. Suppose -2*f + 223 = -0*f - g*o, -3*f = -o - 324. What is the hundreds digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1 by -635.\nAnswer: -1\/635","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -69*q - 6. Let d be b(6). Let o be 2\/(-8) - 8485\/d. Let v = o + 8\/21. Find the common denominator of 1 and v.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/(((b\/b**(2\/9))\/b)\/b*b))\/((b*((b**(-5)*b)\/b*b)\/b)\/b)*b**(2\/23)*b*b**(-1\/5)*((b*b\/((b**(-1\/7)*b)\/b))**(20\/3))**(-10) assuming b is positive.\nAnswer: b**(-983494\/7245)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 85\/6882 and 76\/129.\nAnswer: 295926","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = 3*n**2 + 790*n - 1632. Let b(z) = -z**2 - 398*z + 816. Let d(o) = -5*b(o) - 2*r(o). Suppose d(s) = 0. Calculate s.\nAnswer: 2, 408","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(156)*1 - (sqrt(156) - sqrt(156)*-1*-4))\/(((sqrt(48) - (sqrt(48) - (sqrt(144)\/sqrt(3) - sqrt(48) - sqrt(48))))*-4)\/sqrt(4)).\nAnswer: sqrt(13)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = t - 3*q - 16, 4*q + 4 = 4*t. Suppose j = 2 + 1. Is (t\/9)\/(j\/(-3033)) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 681180376 to the nearest integer?\nAnswer: 880","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -49*w = -50*w - 1. Let v be (-5)\/70*(7 + w). Which is the nearest to -1\/3? (a) v (b) -0.3 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 107, 221, 339, 461?\nAnswer: 587","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in five sixths of a century?\nAnswer: 1000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 462 by -137.\nAnswer: -462\/137","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 113\/25140 and 83\/30?\nAnswer: 25140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 429614, 859251, 1288948, 1718735, 2148642, 2578699, 3008936, 3439383?\n\"Answer: 5*x**3 + 429602*x + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23 = u - 22 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -255*d**3 - 4 + 0*d**2 - 3*d**2 + 131*d**3 + 121*d**3 to z*d + v*d**3 + r*d**2 + j and give r.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -530.61 + 531. Is -5\/4 <= c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5*(-2)\/(-5)*-1.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Are 302\/10501 and -1 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 23 - x**2 - 23 - 4*x**3 + 4*x**3 - 4*x**3 + 2*x**3 + 3 + x**3 - 3 + (-2*x**2 - 3*x**2 + 4*x**2)*(1 + 2*x - 1) to v*x**2 + t*x**3 + w*x + q and give v.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -712.88 to the nearest ten.\nAnswer: -710","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 53773 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -1780, -1771, -1748, -1705, -1636, -1535, -1396, -1213?\n\"Answer: x**3 + x**2 - x - 1781","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -67510, -137394, -207278, -277162?\n\"Answer: -69884*c + 2374","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 2, f: 1, p: 2, y: 2, h: 3, e: 2}. Give prob of sequence yej.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 682 is divided by 98?\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1\/8 (b) 39 (c) 8 (d) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2470257*w**3 + 6764*w - 1631 wrt w?\nAnswer: 14821542*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2 - 8. Let v = -10.9 - w. Let o = v + 0.8. Put o, -4, 4 in decreasing order.\nAnswer: 4, o, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w = 3 + 7. Let u be 1 + w - (2 + -3). Solve -8*n**4 + 12*n**2 - 2*n**5 + u - 3*n - 8*n**2 - 7*n + 4*n**5 + 8*n**3 = 0.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 25582 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) be the second derivative of -21*v**5\/20 + 57*v**4\/2 - 226*v**3 + 180*v**2 + 1431*v. Determine u, given that j(u) = 0.\nAnswer: 2\/7, 6, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -o - 1. Let b(w) be the third derivative of -w**5\/30 + w**4\/6 + 5*w**3\/6 - 5*w**2. What is -b(t) - 3*y(t)?\nAnswer: 2*t**2 - t - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -42*x + 35*x + 399165 = 159842. What is the units digit of x?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -92*w**4 - 186*w**4 - 26 - 3*w**3 + 3*w**2 + 24 + 5*w**4 as x*w**3 + f*w**4 + v*w**2 + r*w + j and give f.\nAnswer: -273","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 978283?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**(2\/9)\/(((n\/(n\/n**2))\/n)\/n*n))**(3\/8))**(-1\/21) assuming n is positive.\nAnswer: n**(1\/72)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 133705730 rounded to the nearest 10000?\nAnswer: 133710000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:15 PM and 5:10 PM?\nAnswer: 115","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2151367?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 1 + ((-4)\/(-3))\/((-16)\/(-24)). Solve 5*a + 8 - 21 = -b*i, 4*i - 6 = -a for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -6 - -284280?\nAnswer: 284274","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 95, 90, 51, -40, -201?\n\"Answer: -3*f**3 + f**2 + 13*f + 84","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j = 4*l - 2*j, -2*l + j + 6 = 0. Let z be (1 - -42) + (l - 2). Suppose 4*k = -6 + z. Solve -m = m - k for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6 + 8*z**4 - 25*z**4 - 894*z**3 + 5*z**4 + 11*z**4 - 4 to the form w*z**2 + u*z**4 + a*z**3 + r + f*z and give u.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -10*i. Let a(c) = -217*c - 11*c**2 - 212*c + 429*c. What is a(t(o))?\nAnswer: -1100*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 23719 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*g**3 - 1 + 2*g**4 - g**2 - 37*g + 37*g + 5*g**2 to c*g**2 + y*g**4 + i*g + t + o*g**3 and give c.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*f + 4 = 8*f for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1329 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) be the second derivative of -y**7\/2520 - y**6\/720 - y**5\/120 - y**4\/12 + 3*y. Let c(j) be the third derivative of w(j). Give c(0).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 42360.831 take away 16.365?\nAnswer: 42344.466","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 7 divided by -130\nAnswer: -7\/130","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 45197.1956 rounded to the nearest 10?\nAnswer: 45200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide -28 by -6515899.\nAnswer: 28\/6515899","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -4*n + 2. Let d(s) be the first derivative of s**3 - 4. What is d(n)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 235 minutes before 12:09 PM?\nAnswer: 8:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i + 1975 + 952 = r, 3*r + 4*i = 8737. What is the highest common divisor of r and 306?\nAnswer: 153","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0 (b) 2124 (c) 0.2 (d) -3 (e) 0.1 (f) -3\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (112\/10)\/((-153)\/(137700\/240))?\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1\/10, 33, -3, 1\/4?\nAnswer: 33","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 416 + 5046?\nAnswer: 5461","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 26*67\/((-34840)\/(-640)).\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = 2*o**3 + 2*o**2 - 3*o - 3. Let z = -25 + 27. Suppose z*u = -1 + 7. Does 20 divide s(u)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 247335*a**2 - 350333*a wrt a.\nAnswer: 494670","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -742275 (base 8) to base 2\nAnswer: -111100010010111101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(0 + sqrt(153) - sqrt(68)\/(sqrt(4)*-1 - sqrt(4))) + (-1*(sqrt(204) - sqrt(204)*2) + sqrt(204))\/(sqrt(12)*1*-4))*4.\nAnswer: -30*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = 6*n**3 - 632*n**2 + 214*n - 518. Determine r(105).\nAnswer: -98","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 15379 + -15381. What is the fourth smallest value in 2\/171, 4, 2, s?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -5 + (-268)\/(-52) - (-315)\/65. Let c(z) = -11*z + 22. Calculate c(r).\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 1212, 1803, 2356, 2877, 3372, 3847?\n\"Answer: y**3 - 25*y**2 + 659*y + 577","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 15325522.\nAnswer: 2, 7662761","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 5 - 0?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -63 + (15 - -90 - 40)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -62.942 + 63. Let x = h + -0.008. What is the second smallest value in x, -2\/5, -0.1, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1\/(17\/(-102)*16)\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -268*w**2 - 275*w**2 + 19*w**3 + 543*w**2.\nAnswer: 19*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = 2*u - 11. Calculate b(8).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -41 (base 12) to base 2\nAnswer: -110001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*w - 4*d + 68, -3*w + 43 + 49 = -4*d. What is the common denominator of (-55)\/16 + 0 - 1 and 25\/(-28) + 8\/w?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in b - 2*b + 9 + 0*b.\nAnswer: -b + 9","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -142, -4, 1, 3, 12 in ascending order.\nAnswer: -142, -4, 1, 3, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is h in -h**2\/7 - 316*h\/7 + 317\/7 = 0?\nAnswer: -317, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 17527 a multiple of 55?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -u**2 + 13*u - 24. Let d be ((-9)\/5 - 0)*(-8 - -3). Let j be s(d). Factor 2*k + 2*k + j + 4*k + 2*k**2 - 4.\nAnswer: 2*(k + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 478779 and 68600.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -131459167 + 131459054.9999358. Let p = -111.835 - 0.165. Let d = s - p. What is d rounded to five decimal places?\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j - 4*j = 2*j. Let p be (22 - 18)\/(j - -1). Suppose 0 = -8*v + p + 12. Solve 5*a = 2*t + 13, -a - 3*a - 4 = v*t for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:38 AM and 12:55 PM?\nAnswer: 617","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 25715 + -25714.9. Which is the closest to -11\/4? (a) s (b) 18 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24603641 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 7, b: 5, c: 7}. Give prob of sequence bbzz.\nAnswer: 35\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -14 + 40. Let r = -1 + s. Is r prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + (-6 - -10 - 1) + -8?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:28 PM and 8:53 PM?\nAnswer: 445","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 81937093 >= 81937095?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -f**3 + 25*f**2 + 18*f + 209. Let g be i(26). Put g, -3, -54 in increasing order.\nAnswer: -54, -3, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d + 393 + 251 = 0. Is d prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 5*((-2 - -2) + (-2)\/(-5)). Let p(l) = -l**3 + 2*l**2 + l - 4. Let k be p(s). Suppose 1 = -3*q + 10. Sort q, 5, k.\nAnswer: k, q, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 600 = 6*m + 4*m. Is m a multiple of 41?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 109*j - 24264 = 750*j + 370*j for j.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 151900251 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -7 - (25\/(-15) + 8)\/((-1)\/(-3))\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 3 + 1)*(1 - 1 + 1)*(-2*s**2 - 4*s**2 + 4*s**2).\nAnswer: -2*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5 plus -0.18282?\nAnswer: -0.68282","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.139 + -0.039. Let i = 0.2 + 2.8. What is the closest to -1 in 2\/3, i, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -527178044 minus 0.0111?\nAnswer: -527178044.0111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 701276717?\nAnswer: 181, 409, 9473","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6\/551, 2\/27, -2\/9, -3.\nAnswer: -3, -2\/9, -6\/551, 2\/27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4*d + 3*d - d)*(-3*d - 5*d + 4*d)*(2 - 2 + 1) to the form o*d + m + p*d**2 and give p.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 5.01 - -108.99. Let k = 113.9999904 - w. Round k to seven dps.\nAnswer: -0.0000096","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.058 + 1.368. Round i to 1 dp.\nAnswer: 1.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = 4*p + 10. Let r be (-2)\/(-11) + 0 - 2436\/(-33). Let u be (-2)\/(-5) + r\/20*-2. What is n(u)?\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2.15? (a) -2 (b) 19\/5 (c) -3\/7 (d) 2\/7 (e) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = m**3 + 14*m**2 + 4*m + 61. What is b(-14)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 188309171.\nAnswer: 19, 9911009","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c**11*c**(4\/7)*c**(1\/2)\/(c*c*(c\/((c*(c*c**(-2))\/c)\/c))\/c) assuming c is positive.\nAnswer: c**(113\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2618 and 1496?\nAnswer: 10472","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 + 4 = -4*q. Let d be (8\/q)\/(14\/(-21)). Let m = 81 - d. Is m a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b = 2, -4*b + 14 = 5*d - 2. Solve 0 = -3*s + 4*k + 8, d*k + 0*k = -5*s + 24 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -10*r + 2*r - 8*r - 97313*r**2 - 28 + 6077*r**2. Let l be x(-9). What is l rounded to the nearest one million?\nAnswer: -7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 36 divide 66672?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 91533260?\nAnswer: 2, 5, 7, 13, 19, 2647","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -4*g**3 - 8*g - 8. What is the remainder when v(-3) is divided by 46?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 10880, 22739, 34598, 46457, 58316?\nAnswer: 70175","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v = -1 + 3. Suppose q - x - x - 18 = 0, -v*x - 34 = -3*q. What is the units digit of q?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8*w + 3*w + 10. Factor -q**2 - 6*q**2 + 8*q**w + 0*q**2.\nAnswer: q**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7138 is divided by 39?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = o**2 + 12*o - 26. Let w be -15 + (2\/(-9) - (-55)\/45). Let v be i(w). What is the nearest to 22 in v, -1\/7, 0.5?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gr when two letters picked without replacement from ggargrkkggggggrrra?\nAnswer: 5\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 273\/4 + -68. What is the closest to t in -3, 0, -2\/5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 2358?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 549*i + 119*i - 2345 = 19699. Let u be ((-26)\/8)\/(2\/(-24)). Which is smaller: u or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 66 a factor of 4092?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((h**1)**(2\/53)*h**(-6)*h**(3\/4)*h)**(-2\/17))**36 assuming h is positive.\nAnswer: h**(16074\/901)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 + (2\/(-5))\/((-16)\/40).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-4)\/(-12)*(-9)\/(-9). Put 27, q, -0.8 in increasing order.\nAnswer: -0.8, q, 27","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 12256, 24941, 37626, 50311?\nAnswer: 62996","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000787572066 rounded to seven dps?\nAnswer: 0.0000079","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-18)\/(-56)*(-72)\/(-54). What is the smallest value in o, 2\/15, -425?\nAnswer: -425","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 82*a**2 + 23*a**3 - 43*a**2 - 38*a**2 - 2 as b*a**3 + j*a + z*a**2 + i and give i.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 38658156479 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-8)\/6*(-6)\/4. Suppose -5*n = -r + 27, 0 = 3*s + n - 103. Suppose -5*k + s = -k. What is the greatest common divisor of 9 and k?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -w**2 - 229*w - 6783. Give c(-35).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 861?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 735*x + 179*x + 14172 + 6619 + 28565 for x.\nAnswer: -54","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 104*o = 3*o - 97*o + 210 - 8130 for o.\nAnswer: -40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 170 divided by -5\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor 446*o**4 + 49511*o**2 - 3116*o + 18539*o**3 + 15183*o**3 + 34613*o**3 + 40 + 5795*o**4 + 9427*o**2.\nAnswer: (o + 1)*(o + 10)*(79*o - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 31*112.\nAnswer: 3472","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.67 + 0.69. Round z to 2 decimal places.\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -c + 487 + 195. List the prime factors of c.\nAnswer: 2, 11, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 181 + -181.151. Let k = n - 0.049. What is the nearest to 3\/4 in 0, k, -0.3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-2\/3)*((y\/(y\/y**(-5)))\/y)\/y)**(-1\/5)\/((y\/((y\/(y\/y**(2\/19)))\/y))\/y**(-2\/3))**2 assuming y is positive.\nAnswer: y**(-341\/95)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2535\/2 or -7?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -5 (b) 24 (c) -0.3 (d) 90\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2\/(-4)*8\/(-4). Let t be (-2 + (4 - 2))*j. Let c(w) = -w**3 - w**2 + 3. Give c(t).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -158*q**3 + 51*q**2 + 50*q. What is z(-1)?\nAnswer: 159","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = 124*t + 3. Let w be -4 - (1 - -1)\/(-2). Let g be -1 + (-2 - (w - 1 - 1)). Is n(g) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 20112 - 22?\nAnswer: 20020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3 + 3.1. Let s(j) = -j**2 - 110*j + 1332. Let p be s(11). Which is the smallest value? (a) -0.1 (b) k (c) 6 (d) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4*b + 4*b + 4*b)*(3766 - 89*b**2 + 87*b**2 + 530 + 3452) to c*b + h*b**3 + o*b**2 + v and give c.\nAnswer: 30992","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 238 minutes after 8:57 PM?\nAnswer: 12:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1333110.199911 + 1333114. Let y = 23.81 + -20.01. Let p = g - y. What is p rounded to 5 dps?\nAnswer: 0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d + 14 = 5*d. Suppose d*q = 4*x - 42, x - 39 = -2*x + 4*q. Suppose -102 = -x*s + 7*s. What are the prime factors of s?\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (3 - (6 - -5)) + 0 + 4?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 1755, 3459, 5163, 6867?\n\"Answer: 1704*c + 51","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**(1\/8)\/(c*((c**(-1\/6)\/c*c)\/c)\/c*c*c)*c**(-6)\/c*c*c\/c**(-1\/3))**(-16))**(4\/5) assuming c is positive.\nAnswer: c**(344\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (29921 - 3*y**2 - 29921 - 16*y)*(-5*y + 4*y - y) + 4*y**3 - 4*y**3 + 6*y**3.\nAnswer: 12*y**3 + 32*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -4*r + 17. Is k(-9) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:54 AM and 1:03 PM?\nAnswer: 669","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 196 to the power of 1\/2, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-7 + 5)\/(3570\/(-5) - 3). Is 1 <= o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4413629?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -2*r**3 + 9*r**2 - 16*r + 169. Let f be i(7). Which is smaller: f or -185?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 242406259?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-72)\/(-1200)*-10)\/(12\/(-5))?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 5\/8 of a day?\nAnswer: 15","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 45 is divided by 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = t**2 + 33*t - 239. What is q(-39)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is (-4)\/(((-280)\/148253)\/10) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.163 * 56.088\nAnswer: -9.142344","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: Is -417\/1649833 less than -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 306180 and 176148.\nAnswer: 756","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 + 34 = 7*y. Suppose -14*m + 40 = -y*m. Solve -w - 4 = 3*q, 3*w = m*q - 0 + 2 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-21)\/28)\/((-297)\/(-72))?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -v - 10. Let y be g(-10). Suppose -8*j + 298 = -11*j + m, y = 4*j + 2*m + 384. Let k = -91 - j. Solve r = -k + 3 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/25 of a meter in millimeters?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (-60)\/(-525) + 1 + (-2)\/(-7)?\nAnswer: 7\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4\/2*((-18)\/(-2))\/(-9).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-2 + 64)\/((-6)\/6). Let k = -213 - f. What is k rounded to the nearest 10?\nAnswer: -150","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 + 9 = -5*s. Let b(o) = -o**3 - 5*o**2 + o + 4. Let r be b(s). Let h(k) = k**2 + 1 + 0*k**2 + k + 0*k**2. Give h(r).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((t*t**12)\/t)\/t**(-19))\/((t*(t**12\/t)\/t*t*t*t*t)\/(t*t*t*t*t**(1\/6))))**(-14\/3) assuming t is positive.\nAnswer: t**(-847\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -3986, -3977, -3950, -3893, -3794, -3641, -3422?\n\"Answer: 2*p**3 - 3*p**2 + 4*p - 3989","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -30 + 30.6. Let l = c - 1.6. Let x = -4 - l. Sort 1\/2, x, -2.\nAnswer: x, -2, 1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.127 + 2.873. Sort 3\/2, n, 2\/5, 0.2 in decreasing order.\nAnswer: n, 3\/2, 2\/5, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*b + 162 = -4*b, -4*j = -6*b + 2 - 40 - 12 - 124 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -74, -162, -298, -512, -834, -1294, -1922, -2748?\n\"Answer: -5*b**3 + 6*b**2 - 71*b - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = -5*t - 5*z, 0 = -4*t - 2*z - 6 + 26. Let r = -1 + -1. Let h be (r\/t)\/((-3)\/27). Solve 2*v - 5 = -h*v for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13291 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3 in 0.5, 0, -1649, -5, -2?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 8052 divided by -2684?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is -51 at most as big as 964718?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 228 + -237.1. Let t = 9 + s. Let f = 0.04 - -0.26. Put f, t, -5 in descending order.\nAnswer: f, t, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(30)\/sqrt(294) + (sqrt(5) - sqrt(55)\/sqrt(275)).\nAnswer: 33*sqrt(5)\/35","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 13 - 5. Suppose -2*g + b = 2. Solve w + 6 = -3*p - g, 5*w = -5*p - 25 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 701947?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 8269\/3 - 2723. Let l = -502\/15 + s. Which is the closest to -0.07? (a) 0.5 (b) -2\/3 (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6889551?\nAnswer: 3, 2296517","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/3, -14\/5629, 0 in descending order.\nAnswer: 2\/3, 0, -14\/5629","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 401951467 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0.1 or -127508.026?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 60 divide 5340?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 80 + -722\/9. Calculate the common denominator of -31\/4 and c.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q = 3*q + 2*u + 24, 2*q + 5*u = -36. Let i(r) = 2*r**2 + 17*r + 3. Let f be i(q). Calculate the remainder when (-3)\/((-15)\/(-10))*2*f is divided by 11.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + (-2 - -10) - 12?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 28 + 24 + 33 + 20 + 719*b - 104 as v*b + y and give v.\nAnswer: 719","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o + 16 = 8*c - 4*c, -4*o + 16 = -3*c. Solve q + 3*x + 1 = c, 12 = -2*q + 17*x - 13*x for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 30581107 is divided by 6116219.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = 168*f - 117. Let w(d) = -335*d + 255. Let i(t) = -7*q(t) - 3*w(t). Let h = -32 - -16. Let p be i(h). Round p to the nearest 100.\nAnswer: 2800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.006 - -0.054. Let k = r + -0.6. Let x = -4.46 + k. What is the biggest value in 0.4, 0.5, x, -4?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 (base 14) in base 7?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = 2*s**3 - 72*s**2 - 440*s + 19523. Give q(34).\nAnswer: -61","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1879 is divided by 189.\nAnswer: 178","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 213570*q + 58994 wrt q?\nAnswer: 213570","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*c + c - 2*c)*(84*c - 250*c + 48*c + (-2*c + 0*c + c)*(0 - 3 + 1)).\nAnswer: -232*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -77*r**2 - 206*r - 56. Determine k(-8).\nAnswer: -3336","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 720 + -710. Let h be (-1 - -5)\/(8\/r). Solve 3*v = -2*x - 10, 12 = -4*x - h*v - 8 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 77 divided by 77?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 24 + -24. Suppose -4*i + r*i = -3*b + 34, -2*b + 4 = 2*i. Is ((-8124)\/18)\/((-4)\/b) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 43301 + -43298. What is the nearest to l in -20, 0.5, 1\/3, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 434362 to the nearest integer?\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -14, 9, 46, 97, 162, 241, 334?\n\"Answer: 7*g**2 + 2*g - 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 202 + -25 + 9 - 89?\nAnswer: 97","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000143954 to six decimal places.\nAnswer: -0.000014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/4 of a litre in millilitres?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) be the first derivative of -w**2 + 5*w + 6. Let r(h) = 1. Let t(k) = -m(k) + 5*r(k). Let o(l) = -3*l**2. Determine o(t(v)).\nAnswer: -12*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mmmmmrmmmmmrmmmmmm. Give prob of sequence rm.\nAnswer: 16\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 7\/4 (b) -0.1 (c) 2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-22)\/5 + 4 + 64\/10. Suppose 4*s + o*a = 2*a + 184, 2*a + 244 = 5*s. Suppose -4*m - s + 171 = l, m - 246 = -2*l. What is the hundreds digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of (204\/30 - 2)\/((-2)\/(-60)) and 81.\nAnswer: 1296","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 100 + 16*t**2 - 100 as u + m*t + q*t**2 and give q.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put 78, -23, -4, 3510 in increasing order.\nAnswer: -23, -4, 78, 3510","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -15104 (base 14) in base 12?\nAnswer: -26354","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -a**4 + 229*a - 254?\nAnswer: -4*a**3 + 229","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2182 + -2182. Let m(y) be the second derivative of a*y**5 + 0*y**2 + 0*y**3 - 12*y + 0 + 1\/6*y**6 - 5\/12*y**4. Factor m(f).\nAnswer: 5*f**2*(f - 1)*(f + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.43438664*-0.1\nAnswer: 0.043438664","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 134975430 to the nearest integer?\nAnswer: 513","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d - 8 = -5*d, 2*c - 3*d = 0. Solve 42 - 12 = -c*w for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6 - 8 - 3) + (0 - -8).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q = -4, -5*i - q + 2 = -4. What is v in -3 + i - v**2 + 1 = 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*f - 25, 2*z = 9*f - 6*f - 5 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 11607 to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = 49*s**2 + 50*s - 80. Give c(-4).\nAnswer: 504","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0659 to three decimal places.\nAnswer: 0.066","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = 882*v**2 - 39*v - 1050. Let m(f) = 220*f**2 - 9*f - 262. Let n(c) = 3*j(c) - 13*m(c). What is the first derivative of n(p) wrt p?\nAnswer: -428*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-7 + 195\/27)*(-3)\/(-2).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find v such that -48*v**2 - 46*v**2 + 98*v**2 + 4*v = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 13, n: 3}. Give prob of picking 2 q and 2 n.\nAnswer: 9\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 11012 + -3?\nAnswer: 11004","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-200)\/140)\/((-40)\/(-35)).\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -3*u + 20. What is the smallest common multiple of 4 and u?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*j + 49 = p, 12*j - 268 = 9*j - 251*p + 246*p for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v - 11 = i - 0*v, 3*i = -3*v - 51. Let g = i + 22. Is 78 - (g - -1 - 7) a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*p - 3*w - 82, 20 = -2*p + 3*w + 51. Sort 2, p, 1, -4 in increasing order.\nAnswer: -4, 1, 2, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-20)\/(-35) - (-1 + 59\/(-7)). What is the first derivative of 0 + f + 621*d**2 - 585*d**2 wrt d?\nAnswer: 72*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -m**2*o**2 + 27*m**2 + 2*m*o**2 + 614*m*o + 2*o + 14 wrt o.\nAnswer: -2*m**2*o + 4*m*o + 614*m + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b - 4*i + 125786 = 0, -5*b - 366*i + 359*i = -125783. What is the units digit of b?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26*i - 14949 = -14351 for i.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.137 + -11.465. Round k to zero dps.\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -13 - -159. Let t = 205 - d. Is t prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x**3 - 30832*x**2 - 92458*x + 308260 = 0. Calculate x.\nAnswer: -15413, -5, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -13*m + 3. Let t(o) = 76*o + 14. Let b(y) = 48*y + 9. Let l(s) = 11*b(s) - 7*t(s). Suppose 3*a - 4*a - 7 = 0. Determine a*l(d) + 2*r(d).\nAnswer: 2*d - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 10376775914 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1 + -16. Let y = d - -14.99999496. Round y to 7 dps.\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -111*f + 1379 = 2267 for f.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5281233524?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -3291865, -3291750, -3291559, -3291292, -3290949, -3290530, -3290035?\n\"Answer: 38*t**2 + t - 3291904","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g + 31 + 9 = 2*n, -n = -3*g - 18. Suppose -4*s = -2*w - 101 + 151, -70 = -2*w - s. Calculate the least common multiple of w and n.\nAnswer: 231","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f - 11 = -3*g - 4, -g = f + 1. Let p = f + 2. Suppose k - 3 = -2*k + c, -3*k - 3*c + 15 = p. What is the units digit of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -87541*a + 87731*a + 4 - 4 as v*a + q and give v.\nAnswer: 190","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0 + 0. Let i = -1690\/9 - -188. Is l at most as big as i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 66 = -3*h - 39. Let k be (4\/5)\/((-14)\/h). Suppose 0 = 4*w - 6*w - k. Sort -4, 0, w in descending order.\nAnswer: 0, w, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p + 0 = -6. Let m(d) = p*d**3 - 2 + 6*d + 3*d**2 + 2*d**3 - 5*d**3. Let h(x) = x**3 - 6*x**2 + 4. Let j be h(6). What is m(j)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is s in -3*s**4 - 123*s**3 - 342*s**2 = 0?\nAnswer: -38, -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 19364 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1078 and 21903.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 218182408 is divided by 135.\nAnswer: 133","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -91 + 301 = 5*c. Suppose c = -5*h - 38. Does 3 divide 7*(2 + h\/14)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r**(-12\/7)\/r**(-32) assuming r is positive.\nAnswer: r**(212\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -137 = 41*m - 39*m - 139*m for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -93*n = -92*n - 2. Suppose -3*x = 3*f - 0*x, 3*f + n*x = -3. Let y = -61\/2 - -31. Which is the third smallest value? (a) y (b) -0.09 (c) f (d) -1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 416565 and 315.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 82407204 to the power of 1\/5, to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -7*k**2 + 265*k - 357. Give y(39).\nAnswer: -669","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = l**3 + l**2 - 4. Let i be t(-2). What are the prime factors of (-2*(-4)\/i)\/((-3)\/237)?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = z. Let t(y) be the first derivative of -3*y**2\/2 - 5. Calculate q(t(h)).\nAnswer: -3*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 627 minutes after 9:56 AM?\nAnswer: 8:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -23 + 233?\nAnswer: 210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 69.40514mm in micrometers?\nAnswer: 69405.14","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 954391\/28 + -34089. Find the common denominator of o and (1\/((-1)\/32))\/((-231)\/22).\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -16*y**2 - 27*y - 11. Let h(f) = f + 8. Let r be h(-4). Let k(z) = 8*z**2 + 14*z + 6. Let d(p) = r*c(p) + 7*k(p). Factor d(v).\nAnswer: -2*(v + 1)*(4*v + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 90 and 42?\nAnswer: 630","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = j**2. Let m(d) = -17*d**2. Give m(c(t)).\nAnswer: -17*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 175 divide 2098372?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g + 5 = -7*z + 10*z, -2*z - g = -4. What is the nearest to 0 in 3\/2, z, -1, 2\/13?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -36*u**2 + 630*u - 6636. Let l(t) = -40*t + 7*t**2 + 104*t - 190*t + 1327. Let v(g) = 4*c(g) + 21*l(g). Solve v(p) = 0 for p.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -33, -65, -95, -123, -149?\n\"Answer: l**2 - 35*l + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -1086*l**2. Let f(w) = -651*w. Give y(f(q)).\nAnswer: -460247886*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 22051443*z + 22557094.\nAnswer: 22051443","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 190 to the power of 1\/2, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 648 and 19224?\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 74.7 less than -2?\nAnswer: -76.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d + 2*z - 31 = -3, 5*z - 40 = -5*d. Let c be (0 - (-38)\/d) + 3\/(-1). Factor 1\/2*b**2 + 2\/3*b**3 - c*b + 0.\nAnswer: b*(b + 1)*(4*b - 1)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18*d + 2041871 - 2041871.\nAnswer: -18*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.03 - -0.03. Let u = -3.89 - 0.11. Which is the closest to h? (a) u (b) -5 (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y**(4\/13)\/y*y*y\/y**(-21)*(y\/y**(-1\/5))\/(y*y**(-2\/61)*y) assuming y is positive.\nAnswer: y**(85408\/3965)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 970\/40*(-23 - -27). Solve -17*u - 165 = -f for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -1.8, 1.31, -3 in increasing order.\nAnswer: -3, -1.8, 0, 1.31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 5075 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(21)\/(sqrt(12)\/sqrt(4)) - (-3*sqrt(112))**2)*-2.\nAnswer: -2*sqrt(7) + 2016","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7864 is divided by 114.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert -88 (base 16) to base 13.\nAnswer: -a6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(153) + (sqrt(153) - (sqrt(153) + (sqrt(153) - sqrt(153)*-2))))**2 + sqrt(17) + -2.\nAnswer: sqrt(17) + 610","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1259.722 or -2\/3?\nAnswer: -1259.722","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4444, -8379, -12314, -16249, -20184?\nAnswer: -24119","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t = -3*o + 134, -o - t = 4*o - 222. Let b be (-8)\/o - 50\/(-33). Factor 2\/3*r**3 - 4\/3*r**2 - 2\/3*r + b.\nAnswer: 2*(r - 2)*(r - 1)*(r + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(520) + (sqrt(520) - sqrt(520)*-2*3 - sqrt(520)))\/((sqrt(10)*1 + sqrt(10))*1))\/(-3*(sqrt(484) + (sqrt(484)*-2 - sqrt(484))) - sqrt(484)*2*5).\nAnswer: -7*sqrt(13)\/88","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1828757 is divided by 35.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) be the first derivative of -q**2\/2 - 3*q - 1. Let z be n(-3). Solve 4*r + 3*i + 2 = z, 14 = 4*i + 6 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*k + 3*k - 9 = -2*d, -5 = -5*k. Suppose -3*o = 5*i - 20, -d*i + 2*o + 6 = -6. Solve -i*u + 18 = -y, 3*u - 2*y = -u + 20 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 1752*r**2 - 1779*r**2 - 1639*r**2 in the form l*r + i + u*r**2 and give u.\nAnswer: -1666","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.66? (a) -0.22 (b) -17 (c) -85\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 10, -16, -0.02?\nAnswer: -16","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fat when three letters picked without replacement from {f: 1, u: 3, m: 1, z: 1, a: 2, t: 4}?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -26\/4905 and -55\/138?\nAnswer: 225630","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 573 minutes before 4:53 AM?\nAnswer: 7:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 0.2251 * 1\nAnswer: 0.2251","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5038239.\nAnswer: 3, 17, 223, 443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 9*z - 5*z - 16. Put z, -3, 1 in decreasing order.\nAnswer: z, 1, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 times 0.0676\nAnswer: 0.2028","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -113 + 112. What is the fourth biggest value in h, 0.5, 1\/3, 4?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (s + 0*s - 3*s)*(s**4 - s**4 - s**4 + (-3*s + 3*s + 2*s)*(2*s - 2*s + s**3) + 36*s**4 + 14*s**4 + 104*s**4).\nAnswer: -310*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -110 - -107. Let l(q) = -5*q**2 + 3*q - 2. Let t = 87 + -86. Let p be l(t). What is the third smallest value in s, 4, p?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -875, -3907, -8959, -16031, -25123?\n\"Answer: -1010*p**2 - 2*p + 137","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*a + g + 74, 2*g + 114 = -8*a + 14*a. Solve -102 = -a*q - 0 for q.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 32\/5 of a millennium?\nAnswer: 64","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -g**3 + 7*g**2 + g - 5. Let x be q(7). Suppose -x*w - v = w - 17, w - 10 = 4*v. Let h = w - 4. Solve h = -0*n - n for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10454754*-0.4.\nAnswer: -4181901.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 100, 237, 382, 541, 720, 925, 1162, 1437?\nAnswer: 1756","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 155 + 2274. Is j prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -146766, -293547, -440330, -587115, -733902, -880691, -1027482?\n\"Answer: -o**2 - 146778*o + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 27846275 a multiple of 1449?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 502\/(-14) + 1\/(-7). Does 11 divide (14\/(-8))\/(1\/d)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1290626 and 6.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 - 5 - 3)*(-25*l - 27*l + 45*l)*((l - l - l)*(243 - 127 - 141) + (0*l - 2*l + 4*l)*(3 - 2 + 0)) as t*l + b + z*l**2 and give z.\nAnswer: 1512","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5 - 1 + 4 + 5 - 8*m + 9 + 1 - 22.\nAnswer: -8*m + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = d**3 + 7*d**2 + 3*d + 50. Calculate r(-8).\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -9\/14, 12, 10, 2, -10?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 61 divide -6 - (12\/(-2))\/(-6 - 12908\/(-2149))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -42*k**3 - 8*k**2 - 42*k + 8. Let r(v) = -41*v**3 - 9*v**2 - 42*v + 9. Let p(u) = -5*q(u) + 4*r(u). Let h be p(8). Round h to the nearest 10000.\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5\/20*2*-5*293\/((-216820)\/(-888)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i - 276 = i. Let d = -67 - i. Solve d = 2*p + 4 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4511.\nAnswer: 13, 347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3529, 6984, 10371, 13696, 16965, 20184, 23359, 26496?\nAnswer: 29601","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3793500?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 502 minutes before 10:12 AM?\nAnswer: 1:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 20458925?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 376827?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 177 - 1227?\nAnswer: -1050","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 207 and 70339359?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -24 - -121\/5. Is i less than -3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (3 - 2)*(0 + 4951). Suppose -13*x = -k - 3811. List the prime factors of x.\nAnswer: 2, 337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 11 - 0*1\/(-2). Let f(m) = m**2 + 5*m + 13. Let g(a) = 2*a**2 + 36 + 11*a - 11 + 5*a - 6*a. Let j(x) = l*f(x) - 6*g(x). Determine j(-5).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in five quarters of a litre?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10400033?\nAnswer: 7, 1485719","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*b - 1 + 8. Let f be (-21)\/140 - b\/(-4). What is the closest to f in -3, -2, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o\/o**(-7\/3))\/o*o**27 assuming o is positive.\nAnswer: o**(88\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = 12*j + 7. Suppose 0 = 5*i - 9*i + 36. Let x be q(i). Let l = x - 22. Is l 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 0*f**6 + 0*f**5 + 0*f + 1\/3*f**3 + 0*f**2 + 9\/7*f**7 + 0*f**4 - 9. Find the third derivative of u(x) wrt x.\nAnswer: 1080*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 641*w - 747*w. Suppose -4*u = -2*g + 3*g + 8, -g + 12 = -u. Solve w = -5*k + 13 - g for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**(-1\/2))**(-1\/35)*k*k\/((k\/k**(-1\/4))\/k)*k*k**(-2\/5))**(-1\/10) assuming k is positive.\nAnswer: k**(-331\/1400)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 273098918, 546197840, 819296764, 1092395690, 1365494618, 1638593548?\n\"Answer: s**2 + 273098919*s - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000019828 rounded to 7 decimal places?\nAnswer: 0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:57 PM and 1:02 AM?\nAnswer: 605","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 5 + 3)*(-26*w - 21*w - 3*w + 3 - 3 - w + (1 - 5 + 3)*(-2*w - w + 4*w) + 1 - w - 1 - w + 3*w + 0*w).\nAnswer: 51*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 544 divide 1109676623?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-14)\/(-4))\/(6\/660). Let f = d + -265. What is the units digit of f?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7570.57 - -27467785.\nAnswer: 27460214.43","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 801360 and 9072.\nAnswer: 2404080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 330800 rounded to the nearest one hundred thousand?\nAnswer: 300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1909, -188, 3 in descending order.\nAnswer: 3, -188, -1909","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 280 and 14896?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -1 - 121378206?\nAnswer: -121378207","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 19*h + 126624 - 125503 for h.\nAnswer: -59","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 2659244683 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -f**3 + 10*f**2 + 83*f - 20. Calculate j(-8).\nAnswer: 468","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 2047128184 to the power of 1\/3, to the nearest integer?\nAnswer: 1270","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vkksstikvksltkv. What is prob of picking 1 t, 1 s, and 1 v?\nAnswer: 18\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0516 rounded to 2 decimal places?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o - 49 = -4*s, 3*s + 20 = 8*s. Let d = -35 + o. Let a(t) = t + 0 + 0 + 1. Determine a(d).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-190)\/76)\/(-1 - (-28)\/32). Solve 13*p - g*p - 14 = 0 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 11408520 + -5?\nAnswer: 11408516","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -11024341 + -2?\nAnswer: -11024343","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 1, b: 1, x: 5, k: 7, y: 1}. Give prob of sequence xk.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 203 minutes after 6:19 PM?\nAnswer: 9:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1\/2*w**2 + w**3 - 1\/2*w + 0.\nAnswer: w*(w - 1)*(2*w + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 9 and 608247.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*k + 26*k = -k. Put -1, -19, k, 5 in decreasing order.\nAnswer: 5, k, -1, -19","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:28 PM and 5:01 AM?\nAnswer: 693","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 16\/(-56)*-27 - (-4)\/14. What is the tens digit of (-3)\/(-4) - ((-1386)\/f + 4)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*u**3 - 325443*u**2 - 8825607336*u + 26479751076.\nAnswer: -3*(u - 3)*(u + 54242)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (-87)\/(-60) + -2 - (-53)\/(-265)?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1899997 is divided by 633329.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 1 + 0)*(-1 - 2 + 2)*(0*z + 0*z - z).\nAnswer: -2*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (9\/(-6))\/((-171)\/(-304))?\nAnswer: -8\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((k*k*k**5)\/k*k**(1\/16))\/((k\/(k*k*(((k**(-3)\/k)\/k)\/k)\/k*k))\/k**(-6\/13)))**(-1\/18) assuming k is positive.\nAnswer: k**(-125\/3744)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 66.17424 hours to nanoseconds.\nAnswer: 238227264000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 431, 226, -127, -646, -1349, -2254, -3379?\n\"Answer: -3*v**3 - 56*v**2 - 16*v + 506","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3\/2*(-30)\/430*(-4)\/(-9).\nAnswer: -2\/43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 25439940 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x - 5*u = 5*x + 102, 0 = -2*x - u - 177. Let o = 87 + x. Solve o = 3*j + 3*k, -k = -j + k for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in one quarter of a milligram?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -2 + (-6)\/(-10) + 2. Let n be (-13 - -305) + 12\/(-3). Let f be (-10)\/(-3)*n\/(-1200). Which is the third biggest value? (a) -2 (b) f (c) x (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (sqrt(3500) - 3*sqrt(3500))\/(sqrt(245) + ((sqrt(245) + -2*sqrt(245) - sqrt(245)) + sqrt(245) - sqrt(245) - sqrt(245) - sqrt(245))).\nAnswer: 20*sqrt(7)\/21","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-198)\/(-36) - 7)\/(3\/(-20)). Solve 10 = 2*s + o for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -5 and 41614470?\nAnswer: 41614475","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 194138 is divided by 652?\nAnswer: 494","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -96 + 110. Let g(i) = -i**3 + 16*i**2 - 9*i - 21. What is the units digit of g(w)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 189480 divided by 37896\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 1078 divide 716094918?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -9663 + 9763. What is the remainder when 997 is divided by q?\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2 and 54410.\nAnswer: 54410","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.37 - -0.07. Suppose 4 + 0 = -l. What is the second biggest value in l, 2\/15, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + 6\/6 - (-2 + 2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is (9 - 0) + (66 + 25 - 74)?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1583*p - 1578*p + 42 = -4*n, -282*p + 3*n + 603 = 0 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -t**3 - 235*t**2 - 484*t - 4118. Determine y(-233).\nAnswer: 76","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*h - 6, 3*t - 6*t = 2*h - 14. Put -4, -3, 4, t, 15 in descending order.\nAnswer: 15, t, 4, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 35 divide 455?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1700325548?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g - 16 = -0*g + 4*v, 2*v + 12 = 3*g. Suppose -g = -2*i + 4*i, -4*d + i + 662 = 0. Suppose 5*z - 2*z - d = 0. Is z composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = 5*t**3 + 6*t**3 + 6 - 2*t**3 + 6*t**2. Let n(c) = -8*c**3 - 5*c**2 - 5. Suppose -p = 0, -6*s + 2*p = -s. Let a = s + -5. Give a*y(i) - 6*n(i).\nAnswer: 3*i**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/8 of a day in hours?\nAnswer: 21","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3527 is divided by 576\/42 - (-144)\/504?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -23 + 21. Let h = 14 + -10. Let l = -3 + h. Is l >= o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8.475891 millilitres to litres.\nAnswer: 0.008475891","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2572662\/2185 or -1176?\nAnswer: -1176","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 0 - (0 - 4) - 5\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 0 - -6 - -1 - (-26 - 49)\/(-15). Determine a, given that z*a**5 - 22\/3*a**4 + 8\/3 + 6*a**3 + 14\/3*a**2 - 8*a = 0.\nAnswer: -1, 2\/3, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f + 8 = -2*n, 0 = -0*n - n. Let q(k) = -1. Let w(v) = -5*v - 10. Let j(a) = -4*q(a) + 2*w(a). Let h(m) = 2*m + 3. Calculate f*j(g) - 11*h(g).\nAnswer: -2*g - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 5808?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 9 and 618?\nAnswer: 1854","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence at when two letters picked without replacement from yayuaucayayjcyyyutay?\nAnswer: 1\/76","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-4)\/10 - 295\/(-300). Let h = -1\/12 + f. Factor 0 - 1\/2*z**2 + h*z**3 - 1\/2*z + 1\/2*z**4.\nAnswer: z*(z - 1)*(z + 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((3*f - 4*f + 0*f)*(1 + 2 - 1) - 1 - f + 1)*(f**2 + f**2 - 5*f**2).\nAnswer: 9*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in seventy-six fifths of a litre?\nAnswer: 15200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 524459 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1344*w + 4356*w - 355567 = -99547 for w.\nAnswer: 85","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:42 PM and 12:49 AM?\nAnswer: 127","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*u + 242*n = 241*n + 21, -12*u + 3*n = 87 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 10106595 and 90.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3200085?\nAnswer: 3, 5, 7, 10159","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 7, k: 2}. Give prob of sequence aak.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*v - 2*v + v + 4*v - 5*v + 0*v + (2*v + 3 - 3)*(-3 + 0 + 4) - 3*v + 15 - 15 + 2*v + 0*v - 3*v + 13*v - 15*v - 5*v.\nAnswer: -9*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1028414?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -7.19 + 0.57. Round k to the nearest integer.\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -102 = 5*u - 27. What is the remainder when 7 is divided by 5\/(u\/(-12)) + 1?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (12\/(-2030))\/(48\/84). Let w(g) = -g**2 - 6*g + 15. Let c be w(-8). Is c bigger than s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3966*g + 864*g - 255*g.\nAnswer: 4575*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -q**3 - 5*q**2 - 4*q - 1. What is r(-3)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 3470 and 18.\nAnswer: 31230","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express -6 + f**3 - 4*f**3 + f + 1 in the form d*f + i*f**2 + g*f**3 + y and give d.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = 2*z**2 - 31*z - 28. Calculate t(14).\nAnswer: -70","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -46 - -139\/3. Let p = 289\/7 + -41. Let a = 0 + 1. Put p, a, i in ascending order.\nAnswer: p, i, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 208576 is divided by 5.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:59 PM and 12:19 AM?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -1047970, -1047964, -1047958, -1047952?\n\"Answer: 6*q - 1047976","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 414\/(-483)*(-56)\/6\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.008893 to three decimal places.\nAnswer: -0.009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0.243 or -7342?\nAnswer: 0.243","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i\/i**(-1\/4)*i*i\/((i**(-2\/9)\/i)\/i)*i**7*i*i**(2\/13) assuming i is positive.\nAnswer: i**(6377\/468)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 29904 - 4050\nAnswer: 25854","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + -3*-1*((sqrt(200) - (1 + sqrt(200)))*5 - (sqrt(200) - -2*sqrt(200))*3))**2.\nAnswer: 9720*sqrt(2) + 146124","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = 19*l - 51. Let u(c) = c**3 - 4*c**2 + 1. Let v be u(2). Let n(z) = 6*z - 17. Let d(b) = v*n(b) + 2*f(b). What is the derivative of d(k) wrt k?\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 - -5 - 6) + 1 + 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*l = 188 + 185 - 553 for l.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) be the third derivative of 291*o**7\/70 - o**6\/60 - o**4\/24 + 1315*o**3\/6 - 5487*o**2. Differentiate s(p) with respect to p.\nAnswer: 3492*p**3 - 6*p**2 - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -494, -1076, -1914, -3134, -4862, -7224, -10346, -14354?\n\"Answer: -21*f**3 - 2*f**2 - 429*f - 42","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/4496 at most as big as -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 421417098 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -2*u**3 + 272*u**2 + 10*u - 1355. What is h(136)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 6853110 divided by -72138?\nAnswer: -95","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-84)\/24)\/(1\/(-2)). Solve -r*f = -6*f - 2 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 24\/36 - (-88)\/3. Let z be ((-48)\/s)\/(1\/(-5)). What is the third derivative of -z*v**4 + 0*v**4 + 5*v**5 - 3*v**2 + 8*v**4 wrt v?\nAnswer: 300*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 110133?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-399154)\/(-81460) - 2*2\/(-8).\nAnswer: 27\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 divided by -2262842.\nAnswer: 1\/1131421","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve b**2 + 16159*b - 6776312 = 0.\nAnswer: -16568, 409","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 2, x: 1, n: 6, z: 5, j: 3}. Give prob of picking 1 n, 2 b, and 1 x.\nAnswer: 3\/1190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 599 minutes before 10:45 PM?\nAnswer: 12:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-3*(-4)\/20)\/(2976\/80). What is the nearest to 1 in k, -0.3, 16\/9?\nAnswer: 16\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(((sqrt(13) - sqrt(52)\/sqrt(16))**2 - sqrt(13)) + 4) + (sqrt(208) - (sqrt(208) + -2))**2 + -3 + sqrt(1053).\nAnswer: -85\/2 + 15*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0.11 or -23\/3?\nAnswer: 0.11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(1 + sqrt(833))*4)**2.\nAnswer: 3584*sqrt(17) + 213504","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.604 - -0.5633. Let u = -2.8307 - z. Let d = u + 1.5. Round d to 1 dp.\nAnswer: -1.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*o + 4*o + o - 3*o + o - o + 0*o + 0*o - 2*o + (-1 - 1 + 0)*(-1 + 2*o + 1).\nAnswer: -6*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19 - 81 = -4*z. Suppose 2*w + h - 19 = 4*h, -2*w = -5*h - z. Suppose 0 = w*t - 21 - 14. Is t a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.2 * 378918.6\nAnswer: 75783.72","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = 6*c - 16*c. What is the units digit of 4\/(48\/1494)*c\/(-3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:56 AM and 10:45 AM?\nAnswer: 49","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -4316.593731 to the nearest 100.\nAnswer: -4300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -25 and 224.\nAnswer: -5600","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c, 1 l, and 1 i when three letters picked without replacement from lococlicicioocooo?\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n and 1 u when two letters picked without replacement from {v: 7, u: 3, c: 1, n: 5, f: 2}.\nAnswer: 5\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(sqrt(35) - 4*sqrt(3500) - sqrt(35))\/sqrt(7))**2.\nAnswer: 128000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -762 times 0.4?\nAnswer: -304.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*c**2 + 1845*c + 3710.\nAnswer: -5*(c - 371)*(c + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*k + 3*q - 9 = 0, -k - 32*q - 1 = -33*q for k.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = 248*r**3 - 3*r**2 + r + 1. Let s be u(1). Let f = -169 + s. What are the prime factors of f?\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i - 5 + 40 = 0. Suppose -3*h = 3*m - 27, -4*m + h - 1 = -17. Let f = m + i. What is the units digit of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.852483km in millimeters?\nAnswer: 3852483","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -50 or 91\/178?\nAnswer: 91\/178","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33*v + 30 = 43*v. Suppose -z + 983 = -2*x, 6*x = v*z + 5*x - 2934. What is the hundreds digit of z?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -30 + 30. Suppose -5*w + 2 = 2*u, 2*w - 2*u + 3*u = m. Let s(n) = 3*n**2 + 2*n**w - 2*n**2. Let l(q) = q**2. What is l(s(d))?\nAnswer: 9*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1105210 is divided by 4638.\nAnswer: 1366","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 100 and 955.\nAnswer: 19100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*t - 4 = -16 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 5262 a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 20.32 - 20.52. Let g = 3 - 3. What is the nearest to -11 in w, g, 4?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.1+-0.3424956\nAnswer: -0.2424956","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4 + 4 + 2)*(40 + 510 - 119 + (-2 + 2 - 2)*(-3 + 0 + 4))*(-4*f + 2*f + 3*f) to a + x*f and give x.\nAnswer: 858","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = h + 2. Let i(a) be the third derivative of a**4\/24 - a**3\/6 - 18*a**2. Suppose 23*n - 5 = -5*y + 21*n, -n = -2*y + 2. Give y*i(j) + c(j).\nAnswer: 2*j + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 58857467 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 1, a: 1, j: 1, z: 1, h: 10}. What is prob of sequence hz?\nAnswer: 5\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from gggpggpggpg. Give prob of picking 2 p and 1 g.\nAnswer: 8\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -5 (b) 1\/47 (c) -2\/5 (d) -1260\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put together -218938227331 and -5.\nAnswer: -218938227336","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = 151*p + 915. Let i be v(-6). Solve -3*c - i = 0, 4*u + 5*c = -0*c - 15 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/2 of a litre in millilitres?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -37\/23408 and 81\/56.\nAnswer: 23408","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of b*d**2 - b*d*j**2*r - 632*b*d + 3*b*r + 4*d**2*j**2*r - 2490*d**2*j - 2*d**2*r + d*j**2*r wrt b.\nAnswer: d**2 - d*j**2*r - 632*d + 3*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) be the third derivative of -n**7\/3780 - n**6\/540 - n**5\/180 + 5*n**4\/24 + 3*n**2. Let f(j) be the second derivative of m(j). Solve f(q) = 0 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 831 + -648. What is the tens digit of t?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -115099 and 1091327.996.\nAnswer: 976228.996","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1890 is divided by 145.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 1150 a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 0.3863922 micrometers?\nAnswer: 386.3922","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 7 + 3)*(-1 - b + 1)*(3*b**2 - 3*b**2 - 2*b**3)*(102 - 374 - 144).\nAnswer: -5824*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -301 (base 6) in base 8?\nAnswer: -155","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = 26*t**2 - 100*t - 5. What is the least common multiple of 915 and x(4)?\nAnswer: 10065","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -785 + 1077?\nAnswer: 292","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v**(-8\/7)*v*v*v**(1\/6)*v*v assuming v is positive.\nAnswer: v**(127\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 472 + -469. Let h(v) be the second derivative of 0 + v**2 + 0*v**t + 0*v**5 - 1\/5*v**6 + 2*v + 0*v**4. Differentiate h(k) with respect to k.\nAnswer: -24*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -o**2 + 8*o + 12. Let w be a(9). Let g be w*(-2 + 30\/9). Suppose -3*i - 2 = 1, g*i = -5*c + 11. Is c a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = w**2 - 15*w + 5. Let p be g(-4). Let v(m) = -81 + p - m**2. Let r(z) = -z**2 - z - 1. Let b(a) = a + 1. Let h(s) = 6*b(s) + 6*r(s). What is h(v(q))?\nAnswer: -6*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 39 and 117.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = -2*c - 4*i, 16 = -5*i - 9. Solve -5*g + 4*g + 24 = 5*f, 4*f = -c*g + 18 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -306, -314, -322?\n\"Answer: -8*u - 298","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -6939, -13896, -20855, -27816?\n\"Answer: -n**2 - 6954*n + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (h**2 + h**2 - h**2)*(-56 + 56 + h + 9) as d*h**3 + u + v*h + c*h**2 and give c.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -4 - -8. Let k(n) = -n + f - 2*n + 4*n. Let g(b) = -2. Let i = 315 + -318. Calculate i*k(w) - 5*g(w).\nAnswer: -3*w - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-7)\/84*-6)\/(2\/(4\/(-11))).\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -20*s**2 - 2*s + 1. Let i(y) = 2*y**2. Let p(w) = 22*i(w) + 2*k(w). Determine p(2).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3344?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-2 - (-2 - -2)) + 2. What is the closest to q in 1\/4, 5, 0.4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -i**2 + 4*i - 13. Let j be f(3). Let k(p) = p**3 + 11*p**2 + 9*p + 2. What is the lowest common multiple of 32 and k(j)?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15 - 9 + 70*s**2 - 6.\nAnswer: 70*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -601*k*q - 554362*k - 549*q wrt q?\nAnswer: -601*k - 549","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -5\/28 in 1\/18, 49, 1, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -3c - 3a4?\nAnswer: -3e0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 595383904 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -544 * -3.9869\nAnswer: 2168.8736","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*u - 3, -i - 2*u = -u - 293. What is the units digit of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1680 = 674*h - 667*h. Does 8 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 639 minutes before 4:39 PM?\nAnswer: 6:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 + 3)*(-f**4 + f**4 - f**4) - f**4 + 0*f**4 + 1 + 6*f**4.\nAnswer: 2*f**4 + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1648 by -206.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) be the second derivative of x**4\/72 + x**3\/6 + 3*x**2\/4 + 945*x. Factor d(t).\nAnswer: (t + 3)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 at most as big as -30192\/17551?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 935585*b**2*j**4 + 110*b**2*j - 64*b**2 - 17*j**6 + 4*j**2 + 10*j wrt j?\nAnswer: 22454040*b**2*j - 2040*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -135*s**2 + 24*s - 2. Give p(-2).\nAnswer: -590","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*j**3 - 2*j**3 + j**4 + (-5*j**3 - 4*j**3 + 5*j**3)*(3*j - 5*j + 7*j) to w*j**2 + v*j**4 + g*j**3 + q*j + a and give v.\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor -585 - 633\/4*q - 3*q**2.\nAnswer: -3*(q + 4)*(4*q + 195)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -a = 61 - 65 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 160683597 is divided by 88?\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 28 + 19. Suppose 0 = 4*d + 5*m - x, -6*d + 59 = -3*d - m. What are the prime factors of d?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 85*n - 1148 = 372*n for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 24434015 + -103?\nAnswer: 24433712","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 11581943 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (0 - 2) + (1 - -4). Suppose -2*t + r = a*t - 41, -4*t + 5*r = -37. Suppose -3*h + t = -4*u - 41, -u + 2 = 0. Is h prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 u when four letters picked without replacement from zuuzuzzzuzuzzzzuzzz?\nAnswer: 5\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = b**2 - 21*b - 65. Let l be s(-3). Solve 1 = -i + f, -l*i = -3*i + 4*f - 28 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = 996455*s + 386*s**2 - 996455*s. Let m(w) = w. Determine u(m(g)).\nAnswer: 386*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express 6*l**2 - l + l as w*l + m + c*l**2 and give c.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 4958 and 1?\nAnswer: 4958","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 23 + -18. Suppose 0 = -k + 1, -4*k = v*p - 2*p - 52. What is the remainder when 47 is divided by p?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = d**3 + 5*d**2 - 10*d - 9. Let u be f(-6). Suppose -x - 4*j = u, 0*x - j = -2*x - 3. Put -12, -5, x in increasing order.\nAnswer: -12, -5, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 240078689 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Are -1424 and -5 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r - 3*r = -32. Let h = -12 - r. Find o such that -210*o**4 + 190*o**h - 16*o**2 - 45*o**3 + 6*o**2 = 0.\nAnswer: -2, -1\/4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = f. Let y(g) = -4*g**2 + 3*g - 4. Let b(p) = p**2 + p + 1. Suppose -2*m - 2 = -m. Let d(v) = m*y(v) - 6*b(v). What is -d(s) - 12*h(s)?\nAnswer: -2*s**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 121\/3403164 and 77\/984.\nAnswer: 6806328","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 1 - 1)*(6 - 2 - 3)*(-r + r - 2*r).\nAnswer: 4*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 110 minutes before 8:29 PM?\nAnswer: 6:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -506822 - -595?\nAnswer: -506227","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10111100 (base 2) to base 3.\nAnswer: -20222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 146314 by 3419.\nAnswer: 146314\/3419","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 918601 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-k + 3*k + 0*k)*(0*k + 0*k + k**2) + (2*k - 3*k - k)*(-3 + 3 + 2)*(-2*k**2 - 36*k + 36*k).\nAnswer: 10*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1008118, 2016312, 3024506, 4032700, 5040894?\nAnswer: 6049088","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -55*f + 624 = -51*f. What is the units digit of f?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (t - t - t + (-3 + 5 - 1)*(-524*t + 319*t - 71*t) - t + t - t)*(3 - 2*t - 3) as d*t + z*t**2 + a and give z.\nAnswer: 556","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-3)\/((-18)\/(-38))*-9. Suppose 3*z + t = 5*s, -5*s = 4*z - 22 - 42. What is the remainder when s is divided by 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -i**3 - 11*i**2 - 25*i - 29. Let d(q) = 4*q**2 - 20*q**2 - 1 + 8*q**2 + 7*q**2 + q. Let t(j) = 10*d(j) - 5*l(j). Find z such that t(z) = 0.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 512 is divided by 157?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) be the third derivative of t**4\/24 + t**3\/6 - t**2. Let k(z) = 6*z + 4. Let r(q) = -k(q) + 4*l(q). Let v(i) = 170*i + 2*i**2 - 170*i. Give v(r(m)).\nAnswer: 8*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 861.699 - 3.799. Let a = q - 858. What is the third biggest value in a, 4, 7?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 398*c - 465*c - 527 - 143 for c.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 39\/(-4) - (-1)\/(-6)*(-387)\/(-258)\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -11 - -18. Let n be l\/4*8\/2. Suppose 0 = 2*x + 3 - n. What is the units digit of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17 - 9 = -2*w. Let d be (-3)\/9 + w\/3. Let o be 2*3\/(-9) + -57*26\/(-2223). Sort d, 1, o in decreasing order.\nAnswer: d, 1, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2283366 and 789.\nAnswer: 2283366","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -43*v + 25. Suppose 4*n + 10 = -2. Does 14 divide k(n)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -10 - -49. Round r to the nearest integer.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*c = -10*c + 76864. List the prime factors of c.\nAnswer: 2, 1201","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*g**2 - 5*g**2 + g**2)*(-3*g**2 + 3*g - 3*g) + 7*g**4 - 118*g + 61*g - g**3 + 63*g as x + v*g**4 + f*g**3 + n*g + i*g**2 and give n.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 434430 (base 8) to base 16.\nAnswer: 23918","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 454 and 161248?\nAnswer: 36603296","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*y - 4*y + 20. Let s be 16\/y - 8\/(-20). What is the second derivative of 2*t + t - t + 2*t**2 + t**s wrt t?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 9008835?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f + 2*f = -6. Suppose -f*t + 5*a = -9, 1 = -2*t - 2*a + 3. Let g = 9.8 + -10. Which is smaller: t or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (6\/(-18))\/((-3)\/18). What is the units digit of 53\/2 - t\/4?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19*v**3 + 14*v**3 + 16*v**3 - 45*v**3.\nAnswer: 4*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -158*s + 15. What is the units digit of h(-2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = z**3 + 50*z**2 + 283*z + 2841. Calculate g(-45).\nAnswer: 231","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -482*h + 966*h - 470*h - 34930. Is h prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1124 + -35963\/32. What is the common denominator of p and 87\/112?\nAnswer: 224","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 65 - -206. What is the remainder when n is divided by 13?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-6)\/9 - 184\/30. Let t = q + 38\/5. Suppose -5*o - 2*d + 25 = 3*d, 0 = -o - 4*d + 17. Which is the closest to 1? (a) o (b) -2\/5 (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) be the third derivative of 1\/42*j**7 - 2*j**2 + 0*j**3 - 1\/168*j**8 + 0*j - 1\/60*j**5 + 0 + 1\/24*j**4 - 1\/40*j**6. Find g such that i(g) = 0.\nAnswer: -1\/2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(12)\/(-2*sqrt(6)) - sqrt(2) - (4 + -2*sqrt(2)).\nAnswer: -4 + sqrt(2)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*g - 4*g - 2*g)*(4*g - 12 + 12 + (2 - 5 + 4)*(-3 + 3 - g) + (3 + 1 - 1)*(-2*g + 0*g - g)).\nAnswer: 6*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 3*p**4 - 3)*(p + 0*p - 2*p + (1 + 1 + 0)*(43 - 19*p - 43)).\nAnswer: -117*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000002798 rounded to 7 decimal places?\nAnswer: -0.0000028","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*t + 2*u - 22, -9 = -2*t - 0*u - 3*u. Which is the second smallest value? (a) 0.4 (b) -1\/3 (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gmmmimngma. Give prob of sequence in.\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -0.229 (b) -5 (c) -9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -776*f**3*o**2 + 113*f**3*o + 7*f**3 wrt o?\nAnswer: -1552*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 25834?\nAnswer: 2, 12917","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -4*b**2 - 14*b - 10. Let q(m) = -10*m**2 - 40*m - 28. What is 8*i(z) - 3*q(z)?\nAnswer: -2*z**2 + 8*z + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -4365, -4362, -4373, -4404, -4461?\n\"Answer: -z**3 - z**2 + 13*z - 4376","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 53409, -3, 5, -0.2, -2\/5, 1\/5 in ascending order.\nAnswer: -3, -2\/5, -0.2, 1\/5, 5, 53409","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 41215 and 25?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -820*x**3 - 6786*x**2 - x - 68918671.\nAnswer: -2460*x**2 - 13572*x - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 860\/7 (b) 13 (c) -12\/97\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-2\/3)\/(n\/((n\/n**7)\/n)))\/(((n**(-4\/9)\/n*n)\/n)\/((n*(n*n\/n**(-8))\/n)\/n)) assuming n is positive.\nAnswer: n**(16\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1536) + (sqrt(1536) - (sqrt(1536) + (sqrt(1536) - -1*sqrt(1536))) - sqrt(1536))*-5)\/((3*sqrt(192)\/sqrt(4))\/sqrt(4)).\nAnswer: 128*sqrt(2)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = i**3 + 70*i**2 - 216*i - 10288. Calculate b(-71).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 28*2*(-1)\/1*(-183)\/732\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (18 - (8 - -6)) + 29 + -11.\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 0 + 0 - (-154706)\/(-28). Let b = 5543 + a. Let u = b + -18. What is the common denominator of -3\/2 and u?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/24 of a week in minutes?\nAnswer: 2100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5174 + 4898 = -69*n for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 4\/285 in -0.2, -3, 0.2, -0.4?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -3.1 (b) 195\/7 (c) -2 (d) -1\/203\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4*q + 0*q + 0*q)*(10167 - 89*q - 10167) to the form n*q + w*q**2 + c and give n.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -14*i**2 - 6*i - 1632. Let p(o) = 8*o**2 + 4*o + 815. Give -5*p(t) - 3*s(t).\nAnswer: 2*t**2 - 2*t + 821","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 r and 1 u when three letters picked without replacement from youoydryorod?\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand -189*h**5 + 157*h**5 + 3 - 22 + 0*h + 0*h + h**5 + h**4 - h**4 + 2*h**5 + (-2*h + 2*h**3 + 2*h)*(2*h**2 - h**2 + 0*h**2).\nAnswer: -27*h**5 - 19","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-832)\/(-22) - (-10)\/55. Suppose r - 8 = 5*m. Suppose -3*j + j = -48. What is the greatest common divisor of j and m?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1893010665?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = 2*q**2 - 8*q + 5. Let g(v) = v. Let p(f) = -3*g(f) + u(f). Let h(k) be the first derivative of p(k). What is the tens digit of h(8)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (20\/45)\/((-10)\/(-45)) - 0. Solve a = -l*p + 5, 0 = -2*a - 4 + 10 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 4, 0.11, 1, -294?\nAnswer: 0.11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (2\/8*1)\/(8\/(-32)). Let p be (-4 + (i - -1))\/26. Let d = -56\/9 + 365\/63. Put p, 2, 1, d in increasing order.\nAnswer: d, p, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3074 - 9155 = -7*v. Is v a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/(-24))\/((2\/1)\/4)?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1453 + -1016. Is 18 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 l and 1 c when three letters picked without replacement from {c: 2, l: 4}.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 5510776628?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -203 + 144825\/675 - (-42)\/(-81)*3?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = i**2 + 2*i - 2. Let o be q(-4). Suppose 101 = -2*r + 107. Solve o = -r*u - 0*u for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.05 + 0.35. Let d = 1311 + -1310. Put k, 3\/7, d in decreasing order.\nAnswer: d, 3\/7, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z - 5*b + 15 = 0, 0 = b - 4*b - 9. Solve 0 = -4*c - 16, -g + 4*c + z = g for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t - 5*r = -24, 0 = -5*t - 4*r + 3 + 8. Is -2\/1145 smaller than t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 4240, 3128, 2016, 904, -208, -1320?\n\"Answer: -1112*d + 5352","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -24189 at most as big as -24189?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-140)\/6 - ((-24)\/18 + 0). What is the units digit of (11\/y)\/((-3)\/846)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -133463458, -133463463, -133463470, -133463479, -133463490?\n\"Answer: -k**2 - 2*k - 133463455","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 divided by 1890?\nAnswer: 1\/315","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -o**5 - 998*o**4\/5 - 317*o**3 - 196*o**2\/5 + 396*o\/5 = 0.\nAnswer: -198, -1, 0, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 6, j: 4, t: 1}. Give prob of picking 2 j, 1 t, and 1 c.\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((n*(n*n**(-3))\/n*n)\/n)\/((n*n\/(n\/((n**0*n)\/n))*n)\/n))\/(n**(2\/9)\/n**(-7)))\/((n\/n**(-2))**(-11\/3))**(1\/59) assuming n is positive.\nAnswer: n**(-5329\/531)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = a**2 + 9*a + 14. Let h be s(-4). Let x(u) = 4*u + 21. Let c be x(h). Let o(z) = 3*z + 4. Calculate o(c).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = 65*o - 503. What is q(15)?\nAnswer: 472","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: ((-132)\/220)\/(11*(2 + -3) + -1)\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5664993 by 5664993.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -o**2 + 8*o + 7. Determine h(-3).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 32625 and 10429425?\nAnswer: 225","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 4589*b*q**2*x**2 + 69*b*q*x**3 - 4*q**2*x**3 - 5*q*x**3 - q*x**2 + 612 wrt b?\nAnswer: 4589*q**2*x**2 + 69*q*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sum 587562.2 and 7.70049.\nAnswer: 587569.90049","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2 and 332.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.1 + -31.1. Let b = j + 30.8. Is b at least as big as 0.2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o = 7 + 2. Let u be o*(-10)\/(-6) - 2. Suppose a + t = 8, 2*a - 3*t = -u*a. Solve h = -2 + a for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -o + 3*o - 58. Suppose -o = 2*f - 7*f + 4*g, 14 = 3*f + g. Let x be 250\/600*4\/(-10). Put x, f, 3 in ascending order.\nAnswer: x, 3, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -605*v**3 + 40545*v**2 - 40600*v + 660 = 0. Calculate v.\nAnswer: 2\/121, 1, 66","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence iq when two letters picked without replacement from qvdhinh?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 62*d**3 + 61*d**3 - 207*d**3 + 85*d**3.\nAnswer: d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b + 89 = -4*u, -10 = b - u + 8. Let r = -23 - b. Solve r = -0*k + k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-4)\/(-11))\/(((-6)\/(-15))\/(15730\/550))?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = p - 1. Let z(w) = -5 + 3*w + 1 - w. Let o(x) = -4*m(x) + z(x). Let h(c) = 2*c**2. What is h(o(n))?\nAnswer: 8*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p = -3*k - 47, 0 = -5*p - 3*k - k - 60. Let v(c) = -8*c + 2. Let x(m) = 8*m - 3. Let z(h) = 4*v(h) + 3*x(h). What is the tens digit of z(p)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11697*-1.\nAnswer: -11697","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r - 289 + 289 = -455. Let t(x) = x**2 + 5*x - 5. Calculate the remainder when r is divided by t(4).\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 125987 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -3.67586446 to 1 dp.\nAnswer: -3.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = m**3 + 2*m**2 - 2*m - 2. Let b be f(-2). Let c(g) = g**b - 2 + 2*g - 6*g - g - 2*g**2. Determine c(-4).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) be the first derivative of -t**5\/120 - 5*t**4\/4 - 75*t**3 - 61*t**2 + 71. Let c(b) be the second derivative of j(b). Find s, given that c(s) = 0.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:24 AM and 8:34 AM?\nAnswer: 490","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-916)\/(-36) + (-44)\/99. Does 37 = t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8782993?\nAnswer: 139, 179, 353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5 - 155312*s**3 + 7 + 155313*s**3 - 21.\nAnswer: s**3 - 19","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((14*u - 3*u - 7*u)*(-1 - 1 - 1) + u - u - u)*(-u**4 - 2*u**4 - 4*u**4).\nAnswer: 91*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b = -2 + 12. Let s(t) = 3*t - 2. Let l(r) = -r - 1. Let z(x) = b*l(x) + s(x). Let v(c) be the second derivative of 5*c**4\/12 + 221*c. Give z(v(m)).\nAnswer: 25*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4973084 is divided by 130870.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2363 (base 7) to base 11.\nAnswer: -729","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((p*p**(1\/4))\/(p*p\/(p\/p**(1\/6))))**(-4\/9))**(17\/7) assuming p is positive.\nAnswer: p**(-17\/189)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 302708316*j**2*w + 351817598*j*w wrt j.\nAnswer: 605416632*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1494*x = 17050*x - 1223*x - 171996 for x.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -1*3\/(-12)*-4\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -2*g + 5. Let a be p(4). What is the common denominator of 790\/75 + (5\/(-25) - 0) and ((-11)\/a)\/((-21)\/(-45))?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2240937*f**4 + 70*f + 2240936*f**4 + 0 - 2 as v*f**2 + w*f**4 + t*f + j + d*f**3 and give j.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 884270582?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -2137890404885 less than -13?\nAnswer: 2137890404872","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = 2*y + 11. Let u(i) = -i - 6. Let k(l) = 6*b(l) + 11*u(l). Let s(j) be the first derivative of -4*j**3\/3 - 6. What is k(s(v))?\nAnswer: -4*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 89 or 43?\nAnswer: 43","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y**(-20\/7)*y**(-2\/83) assuming y is positive.\nAnswer: y**(-1674\/581)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1454463 (base 7) to base 16.\nAnswer: 3075f","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 8571, 34288, 77155, 137172, 214339, 308656, 420123?\n\"Answer: 8575*z**2 - 8*z + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-3)\/4*(-8)\/(-10). Let o = -558341 - -558329. Put 4, o, p, -0.4 in decreasing order.\nAnswer: 4, -0.4, p, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 78852, 78631, 78396, 78141, 77860, 77547?\n\"Answer: -a**3 - a**2 - 211*a + 79065","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 5324 - -1?\nAnswer: 5325","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = 2*n - 3*x, 0 = -5*n + 5*x + 59 - 9. Let j = n - 15. What is the second smallest value in 1\/6, j, -2\/11?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*5*3*sqrt(14)\/(sqrt(4)\/sqrt(2)))**2.\nAnswer: 25200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Are 81 and 1 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 9702719 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -31460, -31458, -31456, -31454?\n\"Answer: 2*l - 31462","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 60\/19*v**3 + 8\/19*v**5 - 88\/19*v + 46\/19*v**4 + 24\/19 - 50\/19*v**2 = 0 for v.\nAnswer: -3, -2, 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z*z**(-7))\/((z*z**(4\/5))\/z)*((z**(4\/7)\/z*z)\/z)\/(z*z**(1\/20)) assuming z is positive.\nAnswer: z**(-1159\/140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 38 - 39 - 45\/(-39). Determine l, given that k*l**2 + 0*l - 2\/13 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.26645578649 - -9.8\nAnswer: 9.53354421351","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u = 5*u + 3. What is the units digit of (-28)\/(-3) + u\/3?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -499 - -503. Let x = 2 - 2. Let c = 565 - 566. What is the third biggest value in v, c, x, -4?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is l in 2*l**4\/5 + 3050*l**3 + 683236*l**2\/5 + 7855232*l\/5 + 3565632 = 0?\nAnswer: -7580, -28, -14, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -2*d - 2. Let m(h) = -h. Let q(o) = -5*m(o) + z(o). Determine q(-4).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -t + 26 = 4*c + 2, -6044*t - 3*c = -6064*t - 18 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from cujujjjjcuuccj. Give prob of picking 4 u.\nAnswer: 1\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 284786?\nAnswer: 2, 23, 41, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-59*(-2)\/(-16))\/(((-12000)\/9000)\/((-16)\/(-6))).\nAnswer: 59\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 6\/25 of a kilometer?\nAnswer: 24000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = 7*n**2 - 2. Let o be i(0). Which is smaller: o or -12\/23?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 44788914?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 greater than or equal to -1\/17138?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -0.5, 0.1, 48, 3\/4, 706\/3?\nAnswer: 706\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (16 + 13 + 3)*(-5 - 3*p + 5)*(2*p - 19 + 19) to l + y*p**2 + u*p and give y.\nAnswer: -192","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 7538081 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 9559697?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide -140 by 70.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 2653789207 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12600441 - 127*r - 25200882 + 12600441.\nAnswer: -127*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -4*b**3*u**3 + 22684*b**3*u - 253*b**2*u**3 wrt u?\nAnswer: -24*b**3*u - 1518*b**2*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d*d**(-15))\/(d*d\/(d*d*d**(2\/9))))\/(d**2\/(d*d**(-1\/4)*d*d)) assuming d is positive.\nAnswer: d**(-469\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 33\/4046872 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = 3*g + 3. Let b(f) be the first derivative of -f - 84. Let q = 3 - 2. Give q*c(w) + 3*b(w).\nAnswer: 3*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 341524699 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 50 a factor of 4632650?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 57*g**6 + 735044*g**5 - 290106422*g**2?\nAnswer: 6840*g**3 + 44102640*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 26 and 30482.\nAnswer: 396266","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*w + 6*z - 22 = -18, 2*w = -z + 9 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f + 4*f = -4*b + 10, 2*b + 2*f - 8 = 0. Find the third derivative of 3*d**5 + 4*d**b - 8*d**2 - 2*d**5 + d**5 wrt d.\nAnswer: 120*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -101 - 4*o - o**3 + 105 - 6*o**2 + 0*o**3. Suppose 2*f = -2 + 12, -f - 15 = 5*n. Give s(n).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c + 15 = -2*c. Let r be (-60)\/270 + 2\/(-72). Sort r, -1\/15, c, 2 in descending order.\nAnswer: 2, -1\/15, r, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 159 + -157. Let u(n) = n**2 - 6*n. Let g be u(7). Let y be (-6)\/(-3)*(-2)\/g. Which is the closest to y? (a) 3 (b) j (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = d + 19. Let j be -4 - (-3)\/(9\/39). Let i be f(j). Let t = 32 - i. Solve t*w - 23 = -7 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 913 - 296. List the prime factors of y.\nAnswer: 617","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.171655 rounded to 3 dps?\nAnswer: -0.172","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-206)\/232 - ((-625)\/1000)\/((-10)\/(-12))?\nAnswer: -4\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*u + 3 + 1 + 2)*(28*u + 4*u**2 - 28*u).\nAnswer: -8*u**3 + 24*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k - 2*m - 959998 = 0, -960002 = -5*k + m - 3*m. What is k rounded to the nearest 10000?\nAnswer: 190000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -206999672*l**2 - 175459920?\nAnswer: -413999344*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 85\/128 and -51\/16.\nAnswer: 128","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1821*k**2 - k + k - 1825*k**2.\nAnswer: -4*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xff when three letters picked without replacement from {x: 14, f: 5}?\nAnswer: 140\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:31 AM and 12:50 PM?\nAnswer: 439","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of ((-4)\/(-6)*-6)\/(-2) and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = 6*r - 4. Let m be l(-6). Let y = -18 - m. Let w be (-2 + 4)\/(-3 - -4). What is the greatest common factor of w and y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 33189.2991 and 1.\nAnswer: 33189.2991","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ppppvpipvqprpprqriq. Give prob of picking 1 r and 1 p.\nAnswer: 3\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = k**2 + 13*k - 12. Let n be z(-14). Let g = n - 1. Suppose -g = -r - 3*p - 6, 0 = r - 5*p - 19. Solve -3*q - 15 = 2*j, -r*j + 4 = -q - 1 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 41789.97 litres in millilitres?\nAnswer: 41789970","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3383493*h**4 + 8*h**3 + 233144329*h**2 + 2*h wrt h.\nAnswer: -81203832*h + 48","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1049?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*a - a**2 + 2*a)*(-3*a**3 + a**3 + 0*a**3) + 8*a - 51*a**5 + 2*a**4 + 220*a**5 - 7*a.\nAnswer: 171*a**5 + 2*a**4 + a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24 = -4*o, -3*l = 2*o + 101 - 104. Let d(i) = 4*i**2 - 7*i + 3. Let u(w) = 2*w**2 - 4*w + 2. Calculate l*u(f) - 3*d(f).\nAnswer: -2*f**2 + f + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 40\/90*(-48)\/736.\nAnswer: -2\/69","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**6*v)**(-2)*(v\/(v\/(v\/(v\/(v**(-4\/3)\/v)*v)))*v)**(7\/4) assuming v is positive.\nAnswer: v**(-217\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*c = j + 4 + 6, -4*j - 13 = -3*c for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Do -308814 and -308816 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-2)\/(-6)*((-16216)\/(-72999) + 398\/(-1791)). Do c and 0 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*k + 4*k + 60. Let o be 3 + -3 + 5\/k. What is the nearest to o in -3, -0.1, 4?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (sqrt(684) - (-4 + sqrt(684) + (sqrt(684) - (sqrt(684) + -2)))**2).\nAnswer: -691 + 30*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1994*n - 63*n = 11586 for n.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = 3*l**2 + 20*l + 229. What are the prime factors of u(-17)?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -137*l**2 - 2*l + 1. Let j be i(2). Let c = 269 + -1048. Let z = j - c. What is the units digit of z?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (60\/(-110))\/(3\/1)\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -69.95 - -68. Let d = q - 0.15. Let a = 2.126 + d. Round a to two decimal places.\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = z + w - 43647, 0 = 4*z - w - 155412 - 19186. Is z prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(119)\/(sqrt(35)\/(sqrt(15)\/sqrt(3) + sqrt(5))))**2 + -4.\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -11.31 + 7. Let p = 1.31 + b. What is the nearest to 0.03 in -2\/3, -13, p?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*c = -3*r - 6*c + 3378, -5653 = -5*r - c. Is 57 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 25372021.\nAnswer: 43, 83, 7109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -4, -3\/4, -0.43, -1\/2, -1?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*u**2\/3 - 142652*u - 7631097414 = 0. What is u?\nAnswer: -106989","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -5, -6228\/35, -0.3 in ascending order.\nAnswer: -6228\/35, -5, -3, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 2, i: 3}. What is prob of picking 2 u?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-68)\/(-3) + 12\/(-18) - 1. Suppose -20*u = -k*u - 1. Suppose -2*c + 10 = 0, 2*g + 4*c = 6*g - 20. Which is bigger: u or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -cbaa (base 14) in base 3?\nAnswer: -1210022222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 1*3\/6 - 1\/(-2). Which is the third smallest value? (a) -0.06 (b) j (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 27090 a multiple of 210?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 243034424 (base 5) in base 11?\nAnswer: 710925","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y**(-19)*(y\/(y\/(y\/(y\/y**(1\/5)*y))))\/y*y*y\/(y\/((y**(2\/59)*y)\/y))*y**3 assuming y is positive.\nAnswer: y**(-4946\/295)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 249022, 249028, 249044, 249076, 249130?\nAnswer: 249212","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) 9 (b) 3\/4 (c) -0.032 (d) -0.3 (e) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 31 divide 324670?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -3 - -5. Let y be (-33)\/15*p*-5. Let n(t) = t**3 + 17*t**2 + 29*t - 5. Let a be n(-15). Solve 5*k = -a, -4*g - y = -8*g + k for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.3 + 0.8. Let w = -1.26094 - -1.43094. Which is the nearest to 1\/4? (a) w (b) s (c) -0.4 (d) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -344 or -337?\nAnswer: -344","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 19, 14, 9, 4, -1, -6?\n\"Answer: -5*m + 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3267706ng in tonnes?\nAnswer: 0.0000000000000003267706","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h and 3 w when four letters picked without replacement from {w: 9, y: 6, h: 4}.\nAnswer: 28\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 44165311 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: Is 10754267 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1\/(3*1\/12). Suppose m*d - 6 = d. Let s be 48 - (-3)\/(3\/d). Round s to the nearest ten.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1420*j + 1434*j - 40 = -2*p + 2850*j, -11 - 33 = -3*p - 2*j for p.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -8 + 8. Suppose 4*l + 5*v + 4 - 1 = u, -3*v = 2*l + 3. Suppose 103 = l*y + 25. Calculate the remainder when y is divided by 8.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -8*z**5 + 64424*z**3 - z**2 - 1118*z - 994 wrt z.\nAnswer: -480*z**2 + 386544","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 3 + -d289?\nAnswer: -d286","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 835994270?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 2\/85 and -92\/105.\nAnswer: 1785","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -20474 - -25719. What is the hundreds digit of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m*m\/(m*m*m\/(m*m**2*m))*m)**6\/((m**(-8)\/m)\/m**8) assuming m is positive.\nAnswer: m**41","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 954721?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*t - 0*t - 22. Solve -6*f = -t*f + 10 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 180109597?\nAnswer: 31, 41, 141707","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1ee (base 16) to base 10.\nAnswer: -494","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9542983.\nAnswer: 1093, 8731","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4905625 weeks in milliseconds?\nAnswer: 296692200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 2004304140222 + 3?\nAnswer: 2004304140230","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -11*((-4)\/(-2))\/2. Is (-244)\/i - (-2)\/(-11) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 2b092 + 1?\nAnswer: 2b093","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 17 (base 9) to base 10.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j - 18 = -a, 0*a + 18 = 5*a - 2*j. Suppose -q = -t - 96, -9*t = 5*q - 10*t - 504. Suppose a*z - 5*z + q = 0. Solve -9 = -5*r - z for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.513 times -55?\nAnswer: -248.215","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -90 - -85. Which is bigger: g or -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -820040389*d + 84256064.\nAnswer: -820040389","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -57*i + 302 = -154 for i.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*-6*(-4 + sqrt(2800)))**2.\nAnswer: -5760*sqrt(7) + 101376","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -35 - -15. Calculate the remainder when 72 is divided by (-8*3\/c)\/((-6)\/(-100)).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-5)\/(-6) - (-7)\/(-14). Let s be (-1956)\/(-16)*24\/(-21). Let l = s - -140. Which is the nearest to u? (a) l (b) -0.2 (c) -1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 9 and 111011.\nAnswer: 999099","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -5692 - -28318\/5. Let s = m + 134\/5. Calculate the common denominator of -37\/5 and s.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 + 1 + 1)*((0 + 1 + 1)*(7 + 1 + 3)*(-6 - 1 + 4) + (3 - 4 + 2)*(2 + 2 - 3))*(-3*l - 2*l + 6*l) in the form o + v*l and give o.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or 851\/1557?\nAnswer: 851\/1557","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s and 2 x when three letters picked without replacement from {x: 6, s: 2}?\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.5 + 1. Let y(i) = -i**3 + 12*i**2 + 10*i + 47. Let z be y(13). Let n be z\/20*(-3)\/6. What is the second smallest value in f, 0.2, n?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-j + 1 - 1)*(-4715 + 206 - 728) to i + a*j and give a.\nAnswer: 5237","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) be the first derivative of d**4\/4 + d**2\/2 + 310*d + 2. Suppose 20 = 10*w - 9*w - 4*k, 5*w = -5*k - 25. Let a be n(w). Round a to the nearest 100.\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:22 AM and 5:27 PM?\nAnswer: 605","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -7a4f - -1f?\nAnswer: -7a30","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -622*r = -618*r + 18 - 166 for r.\nAnswer: 37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 1280, 5091, 11442, 20333, 31764?\n\"Answer: 1270*s**2 + s + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 15.01659 - -0.02541. Let p = -0.07 - -15.07. Let h = p - b. Round h to 2 decimal places.\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40 = 32*v - 360. What is the least common multiple of v and 446?\nAnswer: 2230","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -55*n + 13665 = -50*n. Let y(v) = 10 + 1369*v**2 - n*v**2 + v + 1363*v**2. Calculate y(-3).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = o**2 + o - 3. Suppose -5*w + 0*w - 30 = 0. List the prime factors of f(w).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6.7099 rounded to zero decimal places?\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = 39*d + 41. Let o be l(-1). Suppose -3*y + 5*c + 507 = 0, o*c = -2*c. Calculate the highest common divisor of 26 and y.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:37 AM and 7:15 AM?\nAnswer: 398","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = p**2 - 85*p - 619. Let o be h(92). Solve -4 = -4*q + 3*r - o, 2*r = -3*q - 3 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 371523 and 2099?\nAnswer: 371523","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*n + 9292*h - 9283*h = -112, 0 = -2*n - h - 8 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from haozdqdadqaz. What is prob of picking 1 a, 2 d, and 1 z?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 15 - 13?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 110 is divided by 17.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) be the first derivative of 2\/5*r**5 + 3\/8*r**4 - r**2 + 1\/12*r**6 + 0*r - 2\/3*r**3 + 3. Factor v(h).\nAnswer: h*(h - 1)*(h + 1)*(h + 2)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -6 + 4 + (-2 - -1). Let w be ((-26)\/h)\/((-2)\/(-6)). Suppose 9 = 5*x - w. Solve -5*z - x = -t, 3*z = -4*t + 2*z + 7 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = f**3 + 4*f**2 - f - 2. Suppose -3*q = -7*q - 12. Is l(q) a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(448) - (1 + sqrt(448)*5) - (sqrt(56)\/(sqrt(648) + (sqrt(648) - sqrt(648)*-1)))**2)*3.\nAnswer: -96*sqrt(7) - 736\/243","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w + 4*h - 95 = 59, -86 = -3*w + 4*h. Find the common denominator of (5\/w)\/((-2)\/56) and (-1350)\/(-72) + (-1)\/(-2).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 652120 and 776.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -g**2 + 255640*g - 2045056.\nAnswer: -(g - 255632)*(g - 8)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -4*m - 5. Let z(f) = -2*f - 3. Let b(t) = -4*u(t) + 7*z(t). Give b(-4).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*r + 5 = 5*r. Sort r, -7, 3.\nAnswer: -7, r, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 20459 is divided by 110.\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 64 divide 1984?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 993502, 993506, 993510, 993514, 993518, 993522?\nAnswer: 993526","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) be the first derivative of -2*p**3\/21 - 2*p**2\/7 - 2*p\/7 - 2. Suppose t(c) = 0. Calculate c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 5936 and 6494726?\nAnswer: 742","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 8.7251494 - 8.58515. Let j = 0.25 - 0.11. Let f = j - r. What is f rounded to 6 decimal places?\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 54 - 55. Which is bigger: -9\/7 or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2\/(-4) - 43\/(-2). Suppose 3*d = -4*z - 1 - 2, -3*z = -4*d + h. Let l be z\/1*10\/(-6). Solve l*m + 5 = 10 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -3601942 <= -3601920?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 153526, 153530, 153534, 153538?\nAnswer: 153542","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -305, -392, -559, -806, -1133?\nAnswer: -1540","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 (base 7) in base 4?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence po when two letters picked without replacement from olpogpo?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 48074503 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f = 5*c - 35, 0*f - 5*f + 16 = -c. Let i(t) = -t**3 + 8*t**2 + 7*t + 12. Let u be i(c). Is 18\/27 + (-1064)\/u prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 19280?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23 = -5*f - 3. Is f > 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*o - 5*o + o)*(0*o + 0*o + o)*(5 - o**2 - 5) as h*o**4 + z*o**2 + y*o + f + n*o**3 and give n.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/(-1)*16\/40\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.08 in 1\/2, 0.4, 3, 2\/15?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 599, 805, 1135, 1583, 2143, 2809, 3575, 4435?\n\"Answer: -p**3 + 68*p**2 + 9*p + 523","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 867.1589 centuries to millennia.\nAnswer: 86.71589","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (q**4 - 3*q**4 + 0*q**4)*(-3*q + 19*q - 31*q).\nAnswer: 30*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in three sixteenths of a kilometer?\nAnswer: 18750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 5, z: 3, t: 1, v: 5, s: 3}. Give prob of picking 2 z and 2 w.\nAnswer: 3\/238","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: Work out -17279225 + -78.596.\nAnswer: -17279303.596","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 715985 to the power of 1\/2, to the nearest integer?\nAnswer: 846","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5346795619?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*j - 10 = 2*d, -45*j + 49*j - 5*d = 25 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -8*h. Suppose -144*q - 60 = -130*q - 242. Calculate the remainder when q is divided by x(-1).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5 + 14*n + 8*n - n - 24*n + 5.\nAnswer: -3*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -3*w + 7. Let m be n(-9). Find the third derivative of m + 2*s**2 - 34 - s**3 wrt s.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (99\/(-55))\/((-1)\/5). What is the second derivative of 8*s**2 + u*s**2 - 19*s - 29*s - 26*s wrt s?\nAnswer: 34","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 2*j - 4)*(j - 2*j + 0*j) - 19*j**2 - 11*j**2 + 33*j**2 + 2.\nAnswer: 5*j**2 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = 5*r**2 + 2*r + 1. Let v be h(-1). Let c = -3 + 7. Let s be (-10)\/v*c\/(-1). Calculate the highest common factor of 90 and s.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*a - 4*a - 3*a + (-2*a - a + 2*a)*(3 + 1 - 2) - a + 0*a + 2*a)*(-12*a + 7 - 6 - 3).\nAnswer: 36*a**2 + 6*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -12*j - 14. Let a = 28 - 37. Let t be x(a). Suppose 2 = 2*y, 2*y - t = -4*f + 104. Is f a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -10*r + 5. Let v be k(-9). Suppose 228 = -5*a + l, -5*a - 3*l = v + 121. What is the units digit of (-2)\/10 + (-3159)\/a?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 575 and 4462?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.02041 + -0.22041. Sort -0.1031, q, 2\/9, -4.\nAnswer: -4, q, -0.1031, 2\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 52401593?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4118*f + 4110*f - 12336*f + 4110*f + 170 - 170.\nAnswer: 2*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -951.24 + 0.09\nAnswer: -951.15","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -442.1 to the nearest 10.\nAnswer: -440","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 5558 + -4501. Is f a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -b**3 - 8*b**2 - 17*b - 49. Let o(d) = 153*d + 3359. Let z be o(-22). Calculate v(z).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -24 + 29. Suppose -3 = l*i - 28. Suppose -i*b + 118 = -87. List the prime factors of b.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 47 + -16. Let g = -31.1 + r. Which is smaller: g or 7?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*c**2 + 8763810041*c**3 + 0*c**2 - 8763810141*c**3.\nAnswer: -100*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -a**2 - a + 1. Let x(s) = 3*s**2 - 4*s + 5. Let l(w) = 2*d(w) + x(w). Let f be l(5). What is the least common multiple of (-1)\/(f - -1)*-6 and 7?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**11*t*t)**(-1\/8)*t**(11\/3)*t\/(t*t*t**(-12\/7)) assuming t is positive.\nAnswer: t**(463\/168)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 7 - 4. Let z be -3*(12\/a - 8). Solve 4*x - z = -4*k, 0*k - 2 = -2*k - x for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*w + 53 + 58. Is w composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -31.964 rounded to 1 decimal place?\nAnswer: -32","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 39080 divided by -1143\nAnswer: -39080\/1143","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 55, 299, -4, 0, 2.3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*r**3 - 437 + 436 + 0*r**3 + 6*r to the form v*r**3 + x + s*r**2 + h*r and give v.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:31 PM and 1:47 AM?\nAnswer: 136","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence avsy when four letters picked without replacement from {s: 3, y: 3, v: 1, a: 4}?\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -7*s**4 - 2361 + 1868421*s**3 - 1868421*s**3 + 555*s wrt s?\nAnswer: -28*s**3 + 555","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 - 5 - (7 - 5)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from lblutbbbq. Give prob of picking 2 b and 1 l.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) be the second derivative of 189*g**5\/20 - 3*g**4\/4 - 539*g**3\/6 - 3532*g. What is the second derivative of s(y) wrt y?\nAnswer: 1134*y - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 483036 and 20515.\nAnswer: 503551","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(1\/2)*d*d**5)**(-1\/18)*d**(1\/2)\/d**5*d**(-3\/7)\/(d*d**5) assuming d is positive.\nAnswer: d**(-2845\/252)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*p = -2*p + 16 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(4 + (sqrt(704) + sqrt(704) + sqrt(704) + 2*sqrt(704))**2)*6 - (((3*sqrt(132) - sqrt(132)) + sqrt(132) + sqrt(132))*3)\/(-2*sqrt(108)).\nAnswer: -211248 + 2*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (11 - 18 + 18)*(12*o**5 + 7*o**5 + 7*o**5).\nAnswer: 286*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + 0 + -56 + 49?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1162666?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (9*b**4 - 2*b**4 + 0*b**4)*(0 - 2*b + 0) + 25*b**5 - 38*b**5 - 28*b**5.\nAnswer: -55*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 74, 155, 248, 353?\nAnswer: 470","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = 13 - 15 + i - 7*i + 2*i. Calculate r(-3).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 0\/(-1)*(-10 + 252\/24). Factor 0*j**2 + t*j + 2\/7*j**3 + 0.\nAnswer: 2*j**3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hnr when three letters picked without replacement from nnhnerrenennnen.\nAnswer: 8\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1008 is divided by 77.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = o**3 + 4*o**2 - 5*o + 2. Let g = -9 + 4. Let d be w(g). Suppose 4*c - 57 = 47. Solve d*v + 4*y + c = 0, -3*v + y + 7 - 18 = 0 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-28)\/(-91)*(-1)\/2?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-2))**(-15)\/(i**(1\/7)*i*i**(-1\/3)) assuming i is positive.\nAnswer: i**(613\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(sqrt(171) - (sqrt(171)*1 + -2) - (-1*sqrt(171) + -2)))**2.\nAnswer: 600*sqrt(19) + 4675","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k**3\/4 + 73*k**2\/4 - 237*k\/2 + 198 = 0. Calculate k.\nAnswer: 3, 4, 66","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-7)\/(-49) - 15622\/(-14). Let f = b + -1103. Suppose g - 112 = -2*a, -3*g = a + a - 320. What is the greatest common factor of g and f?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -89375290 or -89375285?\nAnswer: -89375285","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.0434 (b) -2 (c) -2\/3 (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 11403, 11424, 11481, 11592, 11775?\nAnswer: 12048","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qnnqqnnnnnnknnqnqqn. What is prob of sequence qk?\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -16*p**2 - 6*p - 340. Let d(z) = 4*z**2 + 2*z + 1. Let m(k) = 5*d(k) + o(k). Differentiate m(i) wrt i.\nAnswer: 8*i + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -j**2. Let o be -7*(-33)\/77 - 1*3. Let w(g) be the third derivative of o*g**3 + 0 + 0*g**4 - 7\/60*g**5 + 6*g**2 + 0*g. Give y(w(r)).\nAnswer: -49*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in one fifth of a litre?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 83971838?\nAnswer: 2, 41985919","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: ((-153)\/(-357))\/((-1)\/42)\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -60*5\/(-90)*(-3)\/4?\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 28 + 190*l**3 + 185*l**3 - 371*l**3 to n*l + z*l**3 + b*l**2 + f and give z.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Work out -6.4 - -0.00725.\nAnswer: -6.39275","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -12649008.2 rounded to the nearest 100000?\nAnswer: -12600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -4*x. Let l(m) = 3*m - 2. Let p(i) = -4*i + 3. Let j(r) = r + 6. Let g be j(-9). Let t(u) = g*l(u) - 2*p(u). Calculate n(t(d)).\nAnswer: 4*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 85 = -4*r - 39. Let x = 33 + r. What is the greatest common factor of x and 5?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -173*y**4 - 44*y**3 + 344*y**4 + 10*y**3 - 168*y**4 - 14 as j*y**4 + v*y + p*y**3 + c*y**2 + o and give o.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -20, -29, -68, -143, -260, -425, -644?\nAnswer: -923","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (((-3)\/(-24))\/((-2)\/4))\/((-22)\/176)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2\/4014497 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: Express 1 - 1 - 3*h - 6*h + 0*h + 2*h + (4 - 1 - 2)*(-2*h + 2 - 2) - h - 3*h + 2*h + 4*h - 3*h + h + 2 - 2 + h - 37*h - 6*h - 57*h as j + r*h and give r.\nAnswer: -108","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = 10*y**2 - 270*y + 78. Is 37 a factor of u(41)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*i**3 + i**3 + 119*i**2 - 5*i**3 - 353*i**2 in the form s + t*i + b*i**3 + o*i**2 and give b.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y*y*y\/y**(-2\/9)*y)\/y**(-15)*y**(-3\/7)\/(y*y\/((y\/(y*y\/y**(-1\/13)))\/y)) assuming y is positive.\nAnswer: y**(12053\/819)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (46\/(-5))\/(-23)*-10. Which is the nearest to -2\/5? (a) 0.32 (b) -5 (c) 1\/2 (d) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + (-4 - -3) - 3?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = -3*j - 5, -y = 3*j + 16. What are the prime factors of (-1)\/(-5 + 4) - y*66?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine u so that -5*u**2 + 390905*u + 63850360 = 0.\nAnswer: -163, 78344","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -215 - 809 = -169*q - 87*q for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1 (b) -2 (c) -12.4 (d) 8.6 (e) -145 (f) -5 (g) -0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 2, y: 3, a: 5, u: 2, d: 2, j: 2}. Give prob of sequence udyj.\nAnswer: 1\/1820","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 351909686.\nAnswer: 2, 233, 755171","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 + -5 + 22 - (-64 - -119) - (0 - 14)?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*f**5\/2 - 15*f**4\/2 - 309*f**3\/2 + 1311*f**2\/2 - 495*f = 0.\nAnswer: -10, 0, 1, 3, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 841 - -889. Calculate the greatest common divisor of z and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2176 - 2173. Solve -c*s + 4 = -r + 7, s + 1 = -3*r for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a day in seconds?\nAnswer: 17280","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -1a940 + -1779?\nAnswer: -204b9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -6*c - 58. Calculate z(-7).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 798 less than or equal to 814?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 - -5 - (-3 - (0 + -4))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17461*p = -8735*p - 8771*p + 5580 for p.\nAnswer: 124","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 - 26199*z + 1 + 26199*z - 8935*z**2.\nAnswer: -8935*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t - 5*o + 10 = 0, 3*o = 4*t + 8*o - 10. Let a be 12\/((3 - t) + -2). Let d be (1 - 3)*(-18)\/a. Is d equal to 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ntntnt. What is prob of picking 2 n?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -2*b**3 - 23*b**2 - 17*b - 28. Let n be s(-11). Calculate the highest common divisor of n and 323.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 683, 678, 673?\n\"Answer: -5*d + 688","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = 20*b**2 - 2. Let n(h) = 25*h + 2. Give f(n(s)).\nAnswer: 12500*s**2 + 2000*s + 78","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11233?\nAnswer: 47, 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33 = 3*y - 3. Let k be y\/(-2)*(-8)\/(-10). Suppose -3*n = -k*n - 2*r - 3, -5*r = -n + 18. Solve 0 = -4*w - n*o + 11, -o = o - 10 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -12 - -16. Suppose 16*q - 59627 = 27509. Is q\/10 - n\/(-10) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = 2818*p**2. Let u(f) = -5*f. What is s(u(i))?\nAnswer: 70450*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 2124?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 53 divide 66022?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1.97 - 0.03. Let m = n + 0. Suppose 24*i = -i + 25. Put m, 2, i in ascending order.\nAnswer: m, i, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o*o**(-4\/7)*o*o*o**41)\/(o*o*o**(-39))**(1\/36) assuming o is positive.\nAnswer: o**(11203\/252)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -g - 8. Let o be y(-12). Suppose -2*l = -3*k + 16, o*k - 3*l = -5*l - 2. Factor 3\/4*p**k + 0*p + 0.\nAnswer: 3*p**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) be the first derivative of -5*l**3\/3 + 8*l**2 + 3*l - 70. Let h be f(3). Let m = 29\/228 + -4\/19. Which is greater: h or m?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 35*j*p**5 + 95*j*p**4 + 2*j*p**2 - 2*j*p + 12*j + 2 wrt p?\nAnswer: 2100*j*p**2 + 2280*j*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -169\/33120 and 127\/192?\nAnswer: 66240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**(2\/9))**20)**(-1\/6) assuming z is positive.\nAnswer: z**(-20\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 + -1 - (-2 + -4 - -2).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 20171*0.14\nAnswer: 2823.94","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(5500) - sqrt(550)\/sqrt(90))\/(sqrt(99)\/((sqrt(63)*-2)\/sqrt(7))))**2.\nAnswer: 16820\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 23501085.\nAnswer: 3, 5, 1566739","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express (-z**2 + 0*z + 0*z)*(8*z + 11*z - 38*z) + (3 + 1 - 2)*(z**3 + 2*z**3 - z**3) in the form h + k*z**2 + w*z + t*z**3 and give t.\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 2340755 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 724 + -674. What is the remainder when 344 is divided by m?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when ((-105)\/(-6))\/7*(-7)\/((-280)\/17632) is divided by 21.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2.28 + -2.38. Which is the fourth biggest value? (a) 0.3 (b) g (c) -6 (d) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*n + 342 = 587 - 293 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/2? (a) 0 (b) -0.15635 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -120*b + 501*b = 287274. What is the smallest common multiple of 220 and b?\nAnswer: 82940","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 19 - 14. Suppose z*r - 2*t - 30 = r, 4*r - t = 33. Suppose r*n - 24 = 5*n. List the prime factors of n.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -87 + 1477\/17. Let d = 0.58 + -0.48. Which is the nearest to d? (a) 1\/5 (b) o (c) 4\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) be the first derivative of -4*h**3\/3 + h**2\/2 - h + 3. Let f be p(1). Suppose -3*g = -2*g + 3. What is the third smallest value in f, g, 1\/7?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d = r - 20, 6*r - 2*r + 20 = 0. Suppose -s - 10 = -2*s + 3*x, s + 2*x = -d. Is 0 at most s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -b**3 - 3*b**2 + 22*b + 14. Let k be i(-7). What is the highest common divisor of k and 42?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*p + 4455 = -4*p. Let r = -440 - p. Is r equal to -30?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s - 2*b = -7*s + 1206, 3*b - 248 = -s. List the prime factors of (-6)\/4 - -1 - s\/(-4).\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (88\/(-3))\/(2072\/(-777)).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1300311231 (base 5) to base 7.\nAnswer: 35435333","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z = 5*s - 1, 4*s = 24 - 4. Let o(a) = 15*a**2 - 6*a + 7. Is o(z) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -108997, -872273, -2944039, -6978541, -13630025, -23552737, -37400923?\n\"Answer: -109041*g**3 + g**2 + 8*g + 35","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7*x**4 - 24*x**3 + 2*x**2 + 16856 - 16858 - 3*x + 65*x**3 to c*x**2 + d*x + w*x**4 + z*x**3 + r and give r.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 27041806, 27041808, 27041800, 27041776, 27041730?\nAnswer: 27041656","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:23 AM and 10:48 AM?\nAnswer: 325","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f = -5*g + 8 - 0, -5*f + 4*g = -10. Calculate the remainder when 31 is divided by (-1)\/(-1 + f) + 17.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = 7*z. Let t be 9\/(3\/(-36)*-3). Let l be (4 + t\/(-8))*-12. What are the prime factors of v(l)?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = 58*g**2 - 55*g - 6. Let v be f(23). Suppose -6*p = -9*p + 4*b + 22067, 0 = -4*p + 3*b + v. Is p prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -d**3 + 12*d**2 + 32*d - 70. Calculate r(16).\nAnswer: -582","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -302*p**3 - 2*p**2 - 5*p - 4. Let s be n(-1). Is 304 <= s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 566*w - 561*w = 4*p + 2644, 4*p - 2676 = -5*w. Calculate the remainder when w is divided by 106.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = 15*v**2 + 64*v - 80. Is f(-27) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3748000518 to the nearest integer?\nAnswer: 61221","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 + -3 - -9) + 25 + -21.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 4926, -2\/21 in decreasing order.\nAnswer: 4926, -2\/21, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -35930*f**2*z - 25*f**2 + 24781*f*z - 11*f wrt f?\nAnswer: -71860*z - 50","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 13923 and 27846?\nAnswer: 27846","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find d such that -3*d**2\/2 + 4600605*d\/8 + 143769 = 0.\nAnswer: -1\/4, 383384","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 781563?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 48 and 35664.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 1*2 + 11 + -9. Suppose -6*u + 3*u = -o*m - 16, 0 = 2*u. Calculate the least common multiple of 5 and 12\/(6\/m*-1).\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -53\/33674 and 31\/2914738.\nAnswer: 329365394","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 388891?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 29058679 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = 2*g**3 - 79*g**2 - 40*g - 133. What is n(40)?\nAnswer: -133","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 6812025, 6812024, 6812023, 6812022, 6812021?\n\"Answer: -o + 6812026","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 375 and 30.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -s**3 + 17*s**2 + 23*s - 8. What are the prime factors of k(18)?\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1 + 20 + 2*d**4 + 36*d**3 + 47*d**3 - 8 + 34 with respect to d.\nAnswer: 8*d**3 + 249*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.026754608 minus -11?\nAnswer: 10.973245392","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 77 or 73?\nAnswer: 73","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) be the second derivative of 1\/56*q**7 + 0 + 0*q**6 - 3\/20*q**5 + 3\/8*q**3 - 1\/8*q**4 - q + 3\/4*q**2. Factor z(f).\nAnswer: 3*(f - 2)*(f - 1)*(f + 1)**3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3241971401 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a = s, -3*s + 4*a + 60 = a. What are the prime factors of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 75690080 rounded to the nearest 10000?\nAnswer: 75690000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 20302850 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r**(-4)\/r**(-3\/2)*r**7\/(r**(1\/2)\/r)*(((r\/r**(1\/5)*r*r*r)\/r*r)**39)**37 assuming r is positive.\nAnswer: r**(27442\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 640 and 16.\nAnswer: 640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = 22*i - 462. Let q be u(21). Which is smaller: -10\/553 or q?\nAnswer: -10\/553","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 824?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 37 + -35. Let o(b) = -6 + 8 + k - b**2. Calculate o(-4).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -32 or -154\/5?\nAnswer: -154\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 105212014 (base 6) to base 7\nAnswer: 22256236","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 612, 1243, 1888, 2553, 3244?\nAnswer: 3967","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 19\/1386 and -145\/252.\nAnswer: 2772","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 35?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*b + 3*b + 3*x = -6, 5*b - 1236*x + 11 = -1232*x for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -11 in -0.2, 12, -1\/3, -4\/5?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -6, -5, 2\/7, -0.7?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 21 and 1477.\nAnswer: 4431","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 6}. Give prob of sequence kk.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*j**2\/9 - 9704*j\/9 - 11770952\/9.\nAnswer: -2*(j + 2426)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l and 2 b when three letters picked without replacement from {v: 1, l: 1, g: 3, s: 2, b: 3}.\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 1*2 + 287\/(-41). Let g(d) = 3*d - 1. Suppose 0*k = 2*k + 8. Let t be (-2)\/(k\/(-2) + -4). Let f(v) = v. Give o*f(n) + t*g(n).\nAnswer: -2*n - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 461 + -463 + (6 - 1) - (0 - 8)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = d**3 - 58*d**2 + 116*d - 192. What is the lowest common multiple of l(56) and 216?\nAnswer: 864","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1\/(-40) + 4\/10. Suppose 0*v + 5*v = 25. Let h = v + -33\/7. What is the third biggest value in f, 4, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2257453041 - 1.\nAnswer: 2257453040","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -d**4*f + d**4 + 1039*d**3*f + d**3 - 20*d**2*f - 480*f wrt d.\nAnswer: -24*d*f + 24*d + 6234*f + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 5 and 3900.\nAnswer: 3900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3104445.\nAnswer: 3, 5, 67, 3089","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 28671\/2 - 14271. Let q be 2\/(0 + 2)*64. Does p = q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3418405842 to the power of 1\/6, to the nearest integer?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 3351*a*j - 8561*j wrt a.\nAnswer: 3351*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 484171?\nAnswer: 484171","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-1)\/(-2))\/(-1*(-6)\/60). Suppose 0 = 5*w + i, 4*q - 3*w - 88 = w. Differentiate q*f**2 + 2 + 19 - 3*f + 3*f wrt f.\nAnswer: 42*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-8)\/(-16) + (-1)\/(-2). Let h be ((3 + -45)\/(-1))\/o. What is the highest common factor of h and 28?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.1, -2, 2\/67, -0.3, 0.5 in descending order.\nAnswer: 0.5, 0.1, 2\/67, -0.3, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 bigger than 18\/341?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 30007657?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 107.6186843 + -109.9387. Let j = -2803 + 2800.68. Let l = w - j. Round l to five decimal places.\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u - 876 = -264. Is ((u\/6 + -2)*58)\/1 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -9, -38, -93, -180, -305?\nAnswer: -474","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: ((-6)\/(-30)*(-117)\/273)\/((-5)\/(-7))\nAnswer: -3\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9756?\nAnswer: 2, 3, 271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 451786?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -2*c**3 + 21*c**2 - 7*c - 30. Let z be y(10). Suppose z = -5*d + 2*s - 59, s - 4 = -2. Which is smaller: d or -71\/6?\nAnswer: -71\/6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (3 - 1 + 1)*(n + 1 - 1) + (-3 + 2 + 2)*(-2*n - n + 2*n) + 2*n - 2*n + 2*n + 3*n + n - n in the form s + d*n and give d.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 6452*k**3 - 26194 - 4850*k**2 + 1164*k**2 + 13099 + 13095 wrt k?\nAnswer: 38712","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 41, 74, 107, 140, 173, 206?\n\"Answer: 33*g + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of f**2*l**2 + 3426*f*l**2*y - f*l*y - 3*l**2 - 3020*l*y - y - 3 wrt f?\nAnswer: 2*f*l**2 + 3426*l**2*y - l*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + 3 + -4 - -14 - (3 - -3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.3 and 93.\nAnswer: 27.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3662 + -25630\/7. Let n = -1.3 - -0.3. Let x = 2 + 1. What is the closest to n in -2, x, k?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 + 0 - 3)*(-37*c + 52*c - 270*c) to w + k*c and give k.\nAnswer: 1020","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q - 3*z = -0*z + 6, -2*q + 3*z + 9 = 0. Sort 2\/11, -2\/7, q, 9 in ascending order.\nAnswer: -2\/7, 2\/11, q, 9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9c (base 15) in base 13?\nAnswer: b4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3)\/3 - (-3 - (0 + 3))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -2 (b) -1\/6 (c) -20 (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -58405387375 + 58405387375 - 17*y**2.\nAnswer: -17*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 5733 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express 270*f - 695*f - 688*f + 234*f in the form d + g*f and give g.\nAnswer: -879","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1617, 12, 3, -5, 6, 4 in descending order.\nAnswer: 12, 6, 4, 3, -5, -1617","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -235*o**2 - 224*o?\nAnswer: -470","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 9 + -9.3. Let x = -8 + 58\/7. Put x, q, 2\/5 in descending order.\nAnswer: 2\/5, x, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 134424 or 134197?\nAnswer: 134197","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-9*(-2)\/(-3))\/(75\/(-135425))?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-11)\/22 - (-35)\/2. Suppose -v - 3*x - 1 = -d, -3*x = -2*v + 32. Solve 0*q - v = 4*j - q, -4*j = 2*q + 28 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1.63 + -1.3. Let p = -3.28 + a. Round p to one dp.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -29 or -2\/1825?\nAnswer: -29","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = 2*p**3 - 20*p**2 - 25*p + 1. What is the lowest common multiple of 10 and i(13)?\nAnswer: 690","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2 + 3. Let t = -2 - -7. Is t <= f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 64807 a multiple of 216?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -7928835, -7928839, -7928843, -7928847, -7928851, -7928855?\n\"Answer: -4*m - 7928831","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2278759*k**2 - 2278783*k**2 + 4557541*k**2.\nAnswer: -k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = 14 - 3 - 10*t - t**2 + 8*t**2 + 4*t**3. Let f(p) = -p**3 + p - 1. Let i(d) = b(d) + 5*f(d). Does 11 divide i(6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = n**3 - 10*n**2 - n + 12. Let p be l(10). Suppose 0*a - 9 = -2*a + t, 24 = 3*a + p*t. What is the lowest common multiple of ((-6)\/4)\/(a\/(-44)) and 1?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 + -2 + 4 + 2 - 10?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -8329, -33281, -74857, -133057, -207881, -299329?\n\"Answer: -8312*x**2 - 16*x - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m + j - 8 = 2*m, 3*j = -3*m. Calculate the smallest common multiple of (-6)\/m*(-48)\/9 and (1 - 1)\/2 + 3.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 15828438.\nAnswer: 2, 3, 2638073","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 67*n = -169*n - 174*n - 9840 for n.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 64742756 and 52?\nAnswer: 64742756","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -5*q**2 + 9*q + 8. Let w(h) = -4*h**2 + 8*h + 7. Let i(m) = 5*v(m) - 6*w(m). Suppose -4*r = -0*r + 5*k + 20, 3*r - 4*k + 15 = 0. What is i(r)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*d**2 - 19512*d - 23794884.\nAnswer: -4*(d + 2439)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 5, x: 9}. Give prob of sequence ooxx.\nAnswer: 60\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: ((-8)\/16)\/(((-3)\/7)\/((-114)\/38))\nAnswer: -7\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*o + 25, 2127 = 4*y - 0*o - o. Does 18 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -r**3 - 6*r**2 - 4*r - 27. Let o be z(-6). Which is the closest to -0.1? (a) -5 (b) o (c) 2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 558 is divided by 555?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -5713, -23011, -51897, -92371, -144433, -208083, -283321?\n\"Answer: -5794*l**2 + 84*l - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c + 4*g + 25 = -270, 3*c = -5*g + 834. Suppose -4*i + n + 0*n = -379, c = 3*i - n. Does 12 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 8 + (-4 - (-54 + 46) - (-6 - 1))\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.04312 + 0.44312. Let s be (-5)\/1 - -3 - -3. Let f be 28\/16 + s\/4. Which is the closest to f? (a) -3\/4 (b) r (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 1, b: 5, t: 3, g: 2, p: 6}. Give prob of picking 2 m and 1 g.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 0\/((-2)\/5*-5). Let m be c\/((8 - 2)\/3). Factor d**2 - 1 + 4*d + 5 + m*d**2.\nAnswer: (d + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -39.56257 rounded to the nearest ten?\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = b + 2*s - 21, 0 = -4*b - 5*s + 52 + 17. Let q(c) = c**2 - c + 2*c + 7 - 2*c. What is the remainder when b is divided by q(0)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g = -u, -2*u - 14*g = -10*g - 8. Suppose y - 2*f - 43 = 0, 2*y + 132 = 6*y + u*f. Solve -4*l + 8*l = -20, y = 5*p - 5*l for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8690.971kg to micrograms.\nAnswer: 8690971000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00043653 to 6 decimal places.\nAnswer: -0.000437","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 388658?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*g + 3*f + 20, 5*f + 26 = 4*g - 2. Solve -g*d + 0 = 4 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*j + 10*j - j)*(-2*j**2 + 2*j**2 + 2*j**2).\nAnswer: 22*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 222697?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 a, 1 b, and 1 o when four letters picked without replacement from bbafoa?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3\/11? (a) -8 (b) -0.13 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 101701 is divided by 1497.\nAnswer: 1402","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15749 is divided by 309.\nAnswer: 299","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 39124480 a multiple of 155?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 3 + -5 + 36\/(-3). Let j = -6 + 38. Let y = s + j. Calculate the smallest common multiple of 14 and y.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 + 0 + 3)*(2 - 1 + 9)*(-4*l + 4*l + l**3) to the form f*l + v*l**2 + x*l**3 + o and give x.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*((3*sqrt(143)*-5 + (sqrt(143) + -1*sqrt(143))*-5)\/(1*((sqrt(11) - (-3*sqrt(99) - sqrt(11)) - sqrt(11)) + 1*(sqrt(11)*1 - sqrt(11)))))**2.\nAnswer: -117","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2 + sqrt(300) + 1 + -2 - (1 + sqrt(300)*2 + sqrt(300) + 2))**2 + 3)*-5.\nAnswer: -6195 - 1200*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -94.469 + -1.831. Round h to zero dps.\nAnswer: -96","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -10*r**2 - 17*r - 1. Let k(p) = 21*p**2 + 33*p + 2. Let i(z) = -4*k(z) - 9*m(z). Is i(-12) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 1 + 3)*(3*k + 2*k**2 - 3*k) - 8*k**2 + 2*k**2 - 7*k**2 + 0*k**2 + k**2 + k**2.\nAnswer: -9*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1173.234 centimeters to meters.\nAnswer: 11.73234","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:22 PM and 12:08 AM?\nAnswer: 166","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 49 divide 2933042?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -89\/2854 and 42\/84805183.\nAnswer: 169610366","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-28)\/(-16))\/((-609)\/2001)?\nAnswer: -23\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 - 2 + 1)*(-5 + z + 5)*(2 + 0 - 3) in the form h*z + x and give x.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand 279*u**3 - 304*u + 304*u - 3*u**3 + 0 + 0 + (2*u - 5*u + u)*(-2*u**2 - 7*u**2 + 3*u**2) + 1 - 2*u**3 - 1 + 2*u**3 - 4*u**3 + 0*u**3.\nAnswer: 284*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -0.1 (b) 1\/5 (c) 15\/2 (d) 0.3 (e) -10\/7 (f) 137 (g) 5\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 12\/3*-4*-137. Suppose 3*x + x = -v. What is the remainder when (x\/(-6))\/((-16)\/(-24)) is divided by 35?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g - 18 = 4*k, k + 0*k = -4*g - 11. Let a be g + -1 + 1 + 29. Suppose 2*z - a = 1351. Is z prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (618\/(-1648) - (-277)\/(-24)) + 12.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -350 (base 12) in base 6?\nAnswer: -2140","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 342572623 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 5\/2 (b) 0.1 (c) 2 (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 342410677 a multiple of 204?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.100925 less than -3.8873?\nAnswer: -3.988225","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -16 - 36?\nAnswer: -4c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (2 - 23) + (8 - (-66 + 13))\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -11610 to the nearest 100.\nAnswer: -11600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 117.08581 to zero decimal places.\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -19 - -69 - 31 - 7\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 1429654.6025 to the nearest one hundred.\nAnswer: 1429700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) be the second derivative of r**3\/6 - 13*r. Let a(s) = -14*s - 4. Let u(v) = -a(v) - 6*q(v). Differentiate u(d) with respect to d.\nAnswer: 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 216516082?\nAnswer: 2, 37, 2925893","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -4*p**2 - 2*p - 1. Let h(d) = d**2 + d. Let m = -1 + 8. Suppose 5*z - m*z + 4 = 0. What is z*h(i) + g(i)?\nAnswer: -2*i**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(-3 + sqrt(128)*1)*6 + -1)**2 + -3.\nAnswer: -62784*sqrt(2) + 177766","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -1270585728 divided by -36?\nAnswer: 35294048","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find w such that 49210746642*w**3 - 393688482912*w**2 + 20078240*w - 256 = 0.\nAnswer: 4\/156861, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k + 9966 = -30500. Let z(v) = -4391*v + 15. Let c be z(-9). Let h = k + c. Round h to the nearest ten thousand.\nAnswer: 80000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -100022112 (base 3) in base 11?\nAnswer: -5114","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 6 - 2)*(486*i**5 - 273*i**5 - 314*i**5)*(3 + 0 + 11).\nAnswer: -2828*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = 6*t**2 - 5*t + 4. List the prime factors of l(3).\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = 13*b**2 - 9*b - 9. Let x(c) = -c**3 + 9*c**2 + 22*c - 9. Let p be x(11). Let y(j) = 7*j**2 - 4*j - 4. Give p*y(v) + 4*a(v).\nAnswer: -11*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 12962297?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -57*l = 237 - 9 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 607\/5 - 121. Is s != 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3839120 and 62160?\nAnswer: 2960","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 272 + -271.8. What is the closest to 15 in 2, -5, d?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = 2 + 7*k - k**3 - 9 - 8*k**2 - k**3 + 3*k**3. Let c be z(7). Let h = c + 14. List the prime factors of h.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*o**5 + 2*o**5 + 3*o**5 + (5 - 1 + 4)*(-4*o**5 + 4*o**5 + o**5) + o**4 - o**5 - o**4 - 2*o + 2*o + o**5 + (2 - o - 2)*(-o**4 + o**4 - o**4).\nAnswer: 12*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 789788438 to the nearest integer?\nAnswer: 168","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -2300*w + 13856. What is t(6)?\nAnswer: 56","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1\/(-2) + 8\/16. Suppose w = 4*t - 40. Let j = t - 6. Solve 0 = -5*d + 15, 2*i - j*i - 13 = -d for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1279 - -3156. Let f = h - -3704. Is f a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 673 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = 99 - 99 - 9*w**2. What is a(1)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:17 PM and 5:28 PM?\nAnswer: 191","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.4373 + -0.4273. What is the biggest value in z, -49, -0.4, -3?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 4622759\/149 + -31025. Which is greater: 0 or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3? (a) 6.7 (b) -0.01 (c) -2.1 (d) 6 (e) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -110312 - -110311.947561. Round k to 3 decimal places.\nAnswer: -0.052","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -44cc3b + -17b?\nAnswer: -44cdb8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y*y\/y**2*y)**(-2\/3) assuming y is positive.\nAnswer: y**(-2\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 11 * -23\nAnswer: -253","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v = -5*a + 100066, -8*v - 60046 = -3*a - 4*v. List the prime factors of a.\nAnswer: 2, 3, 5, 23, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26 a factor of 223966080?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -13\/336 and 131\/76650.\nAnswer: 613200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-d + 17*d + 3*d)*(d**2 + 76 - 3*d**2 - 74).\nAnswer: -38*d**3 + 38*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -41\/16 and 37\/28.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*q + 24 + 12. Let z = -7 + q. Let j(u) = -u**2 - u + 1. Let r(w) = w**3 - 3*w**2 - 5*w + 5. Let f(y) = -3*j(y) + r(y). What is f(z)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1.29 + -1.33. Let b = -0.7776 + -0.2224. What is the closest to y in b, -1\/8, 1\/3?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*x**2 - 870492*x + 11315720 = 0. Calculate x.\nAnswer: 13, 217610","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-1)\/2*(-5 - 117). Suppose 0 = -3*w + g + 9 + 7, 3*w + 3*g = 12. Suppose 5*z - 4*u = n, -w*u - 2 = 4*z - 2*z. Does 2 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 617.9 - 618. Let f be 6\/4*44\/363. What is the closest to -2\/9 in b, -2, f?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 200*a*j**2 - 55*a*j*y + 6*a + 14*j**2*y**2 + 5*y**2 wrt y?\nAnswer: -55*a*j + 28*j**2*y + 10*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1366090, -2732183, -4098276?\nAnswer: -5464369","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 divided by -56.\nAnswer: -5\/56","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -42 - 18 = -5*z + 5*d, -2*d = 3*z + 4 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -54978*t**3 - 55484*t**3 - 7*t + 110456*t**3.\nAnswer: -6*t**3 - 7*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((p*p**(-10)*p*p)\/(p*p**(-1\/2)))\/(p**(-2\/13))**47)**(2\/39) assuming p is positive.\nAnswer: p**(-7\/507)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ckfzcbfzczockcz. Give prob of sequence fkck.\nAnswer: 1\/1638","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*s - x - 37 = 14*s, 0 = 2*s - 2*x + 26. Let n(a) = -2*a**3 - 21*a**2 - 11*a + 7. Calculate n(s).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine i so that -26\/7*i + 100\/7*i**2 - 6 - 32\/7*i**3 = 0.\nAnswer: -1\/2, 1, 21\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence du when two letters picked without replacement from zqqqqduuuuqqq.\nAnswer: 1\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1354 = 568*i + 109*i for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1181\/668 - 3\/167. Suppose -11*l = -16*l + 15. Which is greater: l or m?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (6\/4)\/((-180)\/240)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (4030\/9672)\/(((-2)\/(-6))\/((-9)\/(-30)))\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in 0.8, 3, 3\/7?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -14558, 4, -1.4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 415 and 4?\nAnswer: 1660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 928464.2ug?\nAnswer: 0.0000009284642","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 + 4 + 1 + -4 + 8?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*f - 7*f = -16*f. Solve 4*l + 2*i - 3*i - 3 = 0, f = l - i for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -67*a - 66*a + 1995 = 0 for a.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 28*k + 3*k**2 + 306 - 623 - 28*k.\nAnswer: 3*k**2 - 317","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 423.2383kg in micrograms?\nAnswer: 423238300000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10710*h = 10066*h + 31556 for h.\nAnswer: 49","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*q - q - 2*k = 29, 0 = -4*q - 5*k + 10. Which is the second smallest value? (a) 2 (b) q (c) -7 (d) 2\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = 1009*j - 79738. Determine y(79).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 15\/9052 and 127\/3504?\nAnswer: 108624","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -31 + 24 + (-1 - (2 + -4))?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 4983388 a multiple of 281?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert -37d6ad (base 14) to base 15.\nAnswer: -27da90","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -226827765 < -0.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -89*i**3 - 69*i**3 + 52*i + 135*i**3 + 234*i**3 + 168*i**3 wrt i?\nAnswer: 2274*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 327 and 19947?\nAnswer: 327","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-572)\/13013*(-416)\/32?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*p - 864 = 153*p + 86*p - 8094 for p.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 138275270?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 1777 divide 9210191?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b - 54 = 3*r - 9, -5*r = b + 75. Let t be (24\/r)\/((-8)\/(-20)). Is -5 not equal to t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 31132 and 6407?\nAnswer: 4638668","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 159143 and 129.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = 398*y - 1193. Let f be m(3). Which is the fifth biggest value? (a) 5 (b) 1\/7 (c) -5 (d) f (e) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 14574 to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -4*p + 5. Let n be b(0). Let q = 38 - 21. Suppose n*x = 4*x + q. Calculate the greatest common divisor of x and 153.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:58 AM and 12:49 PM?\nAnswer: 171","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 23379333 to the power of 1\/9, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 718 - 718.000000535. What is h rounded to seven dps?\nAnswer: -0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10101021010000 (base 3) to base 12\nAnswer: 727669","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.80798 - 531?\nAnswer: -531.80798","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 180 + -181. Let g = -5 + 8. Let v be u*(-4 - (-9)\/g). Solve -v = 3*z - 4 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1156451 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 304\/(-1444) + (-365728)\/(-76) is divided by 28.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*f - 6*f + 2*f)*((0*f - f**3 + 0*f)*(2*f - 2*f - 3*f) - 3*f**4 - 3*f**4 + 0*f**4 + f**4 - f**4 - 3*f**4).\nAnswer: 12*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 354082984 to the nearest integer?\nAnswer: 707","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (51 - (2 - 0)) + -3465 + 3461\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000204150881 rounded to five decimal places?\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*b**2 - b**2 - 4*b**2 + (-2 + 4 + 1)*(2*b**2 + 3*b**2 - 4*b**2) + b**2 + 2*b**2 - b**2 + 2*b - 2*b + b**2.\nAnswer: 5*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2532 + 2640. Solve 21*q + 45 - h = 0 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4209\/69 - (15 - -1)?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (15\/10)\/(6\/(-8)). Let b(h) be the first derivative of -h**4\/4 - 2*h**3\/3 - 3*h**2\/2 - h - 5. Give b(m).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 11.06 - 11.064. Which is the biggest value? (a) -9 (b) r (c) -2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in 3, -5, 8\/5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 337404 is divided by 18341?\nAnswer: 7266","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1\/4 (b) -112 (c) -0.32 (d) -29\/9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 26894 to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1 + 3. Let k(p) = 2 + 3*p - 6*p**2 + p - t + p**3. Let w be k(6). Calculate the highest common factor of w and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/15 in -3, -0.5, -0.1, 13, 3?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = 4*z - 4*f + 1, 0 = 2*z - 4*f + 20. Solve -49*u - z = -50*u for u.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -25\/469 and 57\/4.\nAnswer: 1876","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 224215447 to the nearest integer?\nAnswer: 608","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) be the second derivative of -m**5\/20 + m**4 - 7*m**3\/6 + 19*m**2\/2 - 292*m. Give u(12).\nAnswer: -65","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 65 a factor of 10220?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 150\/13 - (15 + 189)\/17?\nAnswer: -6\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = v**2 + 15*v + 70. What is the remainder when k(-11) is divided by 18?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 299867.\nAnswer: 227, 1321","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 218624017 to the nearest integer?\nAnswer: 14786","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-116)\/(-78) + 20\/(-130). Determine d so that 2\/3*d**2 + 0 + 2\/3*d**3 - y*d = 0.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 137*m - 66*m**3 + 136*m + 1108*m - 1381*m.\nAnswer: -66*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = b - 13. Let y be j(9). Let h(q) = -2*q - 58. Let x be h(-28). Put x, -6, y, 0 in descending order.\nAnswer: 0, x, y, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.001413082522 rounded to five dps?\nAnswer: -0.00141","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = 13*o**3 + o**2 + 2*o - 3. Is j(5) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7423500 rounded to the nearest ten thousand?\nAnswer: -7420000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = 13*a - 12. Let i(k) = 3. Let g(z) = -3*i(z) - x(z). Let m(u) = -7*u + 1. Calculate -2*g(j) + 5*m(j).\nAnswer: -9*j - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 187061 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w and 2 r when three letters picked without replacement from awwrra.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 457 - 456. What is the second smallest value in 0.04, -0.5, k, 7?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 48372 and 145.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -3*a. Let i be -3 - (-3 + (1 - 5)). Let b(j) = -i*j - 3*j - j + 7*j. Calculate h(b(s)).\nAnswer: 3*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(343))\/sqrt(7) + (sqrt(392) + -2*sqrt(392) - sqrt(392))\/sqrt(8))\/(-4*(5*((sqrt(84) - -1*sqrt(84)) + sqrt(84)))\/sqrt(12)).\nAnswer: sqrt(7)\/15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 5, b: 3, c: 2, h: 3}. Give prob of picking 2 b.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = 8*g**2 + 4*g + 1. Let s be q(-3). Let u = 37 - s. Which is smaller: u or -25?\nAnswer: -25","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3533259 divided by -24.\nAnswer: -1177753\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 67\/1416774 and -149\/18?\nAnswer: 4250322","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 10\/35 + 264\/(-434). Let l be (-4264)\/18*60\/(-14880). Let k = l - m. Find the common denominator of k and -11\/70.\nAnswer: 630","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 49721984.\nAnswer: 2, 13, 29881","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1100 - -111?\nAnswer: -101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 53.8 - 54. Sort y, 1, 4 in increasing order.\nAnswer: y, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 81833?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -231 - -231.06. Sort -1\/7, 3, v in increasing order.\nAnswer: -1\/7, v, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -5*d**3*z**3 - 29*d**3*z + 7*d**3 + 25321*d**2*z**3 wrt d?\nAnswer: -30*z**3 - 174*z + 42","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/(6\/54)*-1.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 215831 to the power of 1\/2, to the nearest integer?\nAnswer: 465","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 68 + -69. Let i be (2\/(-2)*1)\/1. Let d be i - (-2 + (-6)\/(-7)). What is the third smallest value in g, 2\/17, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 896108 is divided by 99546.\nAnswer: 194","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 3192877458 - 5?\nAnswer: 3192877453","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = 17*p - 1. Let l be j(1). Let r be 11\/6 - 1\/(-6). Suppose r*k - 2 = 30. Calculate the greatest common divisor of l and k.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*i + 63 = 0, 10*s - 214 = 8*s + 25*i - 35*i for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 629 a factor of 246784376?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/(-28)*2*(-49)\/84?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m - 1 + 4 = 0. Let b(p) = 9*p**3 + p - 1. Let i be b(m). Let y = -4 + i. What is the least common multiple of 1 and y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-9649)\/(2\/((0\/4)\/(-7) + -2)) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*m + 3*m - 2*m)*(-m + m - 3*m**3 + (2 - 4 + 1)*(-4*m**2 + 2*m**3 + 4*m**2) - 3*m**3 + 3*m**3 - 2*m**3).\nAnswer: -7*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = 2*o**2 - 3*o - 3. Let k be (-5)\/(6\/(0 - -3) + -1). Let n(l) = -3*l**2 + 5*l + 5. Let r be 19\/(-6) - (-2)\/12. Give k*q(i) + r*n(i).\nAnswer: -i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 22a78 + 627?\nAnswer: 235a4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2599?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 208113.111s in days?\nAnswer: 2.4087165625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b = -4*m + 526223, 4*m - 526218 = -95*b + 97*b. Is m a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6766 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: What is the highest common divisor of 7015002 and 2004?\nAnswer: 1002","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 335, 1167, 2587, 4595?\n\"Answer: 294*a**2 - 50*a + 91","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve o = 2*x + 4*x, 272*x + 262*x - 11*o = 533*x + 65 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1203 + -766. Is 15 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -113031 - -113029. Let t = 7 - 11. Put a, t, -1 in decreasing order.\nAnswer: -1, a, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 43074 + (-30)\/(-12) + 18*8\/(-32).\nAnswer: 2, 673","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 5114 + -5026. What is the least common multiple of (-2 - -134)*16\/24 and p?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-3*2\/15)\/((-27)\/30)\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h + 414 = -20*h. Let n(u) = -u**3 - 25*u**2 - 47*u - 23. Let g be n(h). Suppose -3*a - 2*a + c + 8423 = 0, -a + 5*c + 1675 = g. Is a prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (3 + (sqrt(50) - sqrt(250)\/(-2*sqrt(5)) - sqrt(50))\/(sqrt(490) + -2*sqrt(490) + sqrt(10) + sqrt(10)))**2 + -3.\nAnswer: -3*sqrt(5)\/5 + 141\/20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 18 - 16. Sort 4, -14, o.\nAnswer: -14, o, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 822149?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1504870*g**5 - 289*g**3 + 1162*g**2 + g + 45.\nAnswer: 90292200*g**2 - 1734","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 207262301 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = t**2 + t - 5. Suppose -44 = 47*h + 191. What is k(h)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence aeel when four letters picked without replacement from elewaeleomeeleme?\nAnswer: 1\/260","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3\/202 in 0.4, -3, -2?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -41834101*d**2 - 3*d - 172116325 wrt d.\nAnswer: -83668202*d - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 23998 and 40517854.\nAnswer: 1846","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v - 4 = -0*v. Suppose -s = 4*g - 80, -g = -v*g + s + 20. What is the highest common divisor of g and 140?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 2896070 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (8\/6)\/(312\/4914)\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -15 + 30 - 2 + 8949*y - 13 to the form p*y + c and give p.\nAnswer: 8949","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27836 = 3*p + 2579. Is p a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 55199627?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) be the third derivative of -4\/15*t**5 + 0*t + 5 - 1\/105*t**7 + 2*t**2 + 0*t**3 + 1\/3*t**4 + 1\/12*t**6. Factor l(r).\nAnswer: -2*r*(r - 2)**2*(r - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4? (a) 0.3 (b) 5 (c) 0 (d) -4.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 4563239 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.25 in 3, 0.03, -394?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 95880 and 323.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 13 + -15?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = 42*v**3 + 14*v**2 - 32*v - 29. What is i(-1)?\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = n**3 + 26*n**2 + 26*n - 23. Let s be t(-25). Let l = 49 + s. Suppose -l = -5*h + 314. What is the highest common factor of h and 42?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 289 minutes before 2:07 AM?\nAnswer: 9:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) be the third derivative of -j**4 - 32*j**3\/3 - 110*j**2. What is the tens digit of t(-9)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 55 (base 13) to base 9.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 202202 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is (4 + -23 - 20) + 24?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 31, 133, 303, 541?\nAnswer: 847","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) be the first derivative of 642*t**2 - 989*t + 1716. Differentiate w(h) with respect to h.\nAnswer: 1284","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence li when two letters picked without replacement from qvvqli?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 30\/(-50) - (72\/10)\/(-2). Solve y = -2*r - 5 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.03 + 538085677?\nAnswer: 538085676.97","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 44 a factor of 1550101369?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = 4*x - 1. Let q be w(1). Which is the closest to 0.3? (a) 2\/5 (b) 33 (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is z in z**4 - 107192*z**3 + 2870922886*z**2 + 86200054680*z + 646681347225 = 0?\nAnswer: -15, 53611","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 276 divide 29601?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = 15*x + 213. Does 12 divide c(-13)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -200024 (base 6) to base 10.\nAnswer: -15568","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 4, 6, -24, 27, 5 in descending order.\nAnswer: 27, 6, 5, 4, -3, -24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 505 minutes before 5:26 AM?\nAnswer: 9:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 489.12462 - 0.02462. Let y = t + -505. Round y to the nearest ten.\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = 719*k**3 + k**2 + k - 1. Let l be y(1). Find the common denominator of l\/(-416) + (-2)\/(-4) and (-4)\/(-6) - 20\/(-42).\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (14 - 15)\/(2\/(-1178))?\nAnswer: 19, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 3044402514?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1 + -3*-5*((1 + sqrt(475))*-1 - (sqrt(475) - (-4 + 1*sqrt(475)))))**2 + 0)*-5.\nAnswer: -563255 - 57000*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.88755 - -106.45445. Let g = 107 - k. What is g rounded to two decimal places?\nAnswer: -0.34","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 348689, 697377, 1046063, 1394747?\n\"Answer: -q**2 + 348691*q - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -29 - -41. Suppose -u = -4*s + 4. Solve 2*x - s*x + 4 = 0 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + ((-1*sqrt(2916)*-3*-6)\/((-4*-1*sqrt(1200) - sqrt(1200) - sqrt(1200))*-5))**2.\nAnswer: 22183\/2500","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mmm when three letters picked without replacement from mmmmtmmmtmm.\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 a factor of 262?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((y*(y**(-8)*y)\/y)\/y)\/y)\/y)\/(y\/(y\/y**9)))\/(y*y*y*y*y*y**(-1\/3)*y)**17 assuming y is positive.\nAnswer: y**(-346\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -44320 + 93800. Round l to the nearest 1000.\nAnswer: 49000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*g - 15 = 4*g. Suppose -5*x = 2*a - 50, -a = -x + 6*x - 45. Suppose 355 = -48*o - 303*o + 1408. Solve -5*m + 25 = g*p, p = -m - o*p + x for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = p - 7. Let c be m(10). Suppose 0 = c*o - h, 0 = -2*o - h + 2*h. Let j be (-5)\/25 - (-22)\/10. Solve j*s = 4*x - 3*x - 5, o = -5*x - 2*s - 35 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -22 + 21. Let z(d) = -176*d**2 - d - 1. Let j be z(c). Let o = j - -275. What is the units digit of o?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 1, i: 1, s: 1, x: 2}. What is prob of sequence ixxw?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 - (-115 - -105 - (-13 + 0)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = 7*f**2 + 8*f + 7. Let u(v) = -2*v + 2. Let c be u(3). Let n(w) = -15*w**2 - 17*w - 15. Let d(x) = c*n(x) - 9*h(x). Determine d(-2).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 102112 - -4?\nAnswer: 102121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -737510*r**4 - 3*r**2 + 4840*r - 2 wrt r.\nAnswer: -17700240*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 187 - 181. Solve z + 3*z - 10 = 5*c, z + p = -3*c for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 176*q - 1668 = -305*q + 64*q. Let p = 0.5 + -0.1. What is the nearest to 1 in -0.2, q, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 1, n: 1, v: 5, y: 1, x: 1, b: 3}. What is prob of sequence bxn?\nAnswer: 1\/440","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y - 6*y = -6*y. Suppose -3*f + 13 = 5*z, y = -2*z + 3*f - 4*f + 5. Suppose z = 3*t - 16. Calculate the remainder when 105 is divided by t.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -6 in 2\/7, 3\/11, -2.972?\nAnswer: -2.972","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = u + 8. Let s be g(-4). Let r(t) = -4*t - 3*t**2 + 0*t + s*t. Let i(m) = 5*m. Calculate r(i(q)).\nAnswer: -75*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 2178 to the power of 1\/3, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + -7 + (-71 - -72).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kxxxwxxkfkxfxkx. What is prob of picking 1 k and 1 w?\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -93324*h**2. Let c(o) = -12*o. Calculate k(c(w)).\nAnswer: -13438656*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 498.\nAnswer: 2, 3, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.168 greater than or equal to 639.59?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1061430764.\nAnswer: 2, 265357691","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*k**2 - 2105*k + 8500 = 0.\nAnswer: -425, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -6*i + 1175 - 1133 for i.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -159*f**2 - f**3 + 102*f**2 + 90*f**2.\nAnswer: -f**3 + 33*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 371, 379, 381, 377, 367, 351?\nAnswer: 329","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does -0.5 = -16\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find f, given that -5*f**3 - 200*f**2 - 1540*f + 9680 = 0.\nAnswer: -22, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 67 - 113. Let z = 133 + c. List the prime factors of z.\nAnswer: 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*j + 156 + 104 = -3*j - 30*w, -74 = 2*j - 3*w for j.\nAnswer: -40","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0001056 to 5 dps.\nAnswer: 0.00011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + sqrt(2299))*6*-4*6*4.\nAnswer: -6336*sqrt(19) + 576","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h = 3*f + 1 + 5, -5*h + 10 = 5*f. Suppose h*g = -2*g + 4*z + 99, 2*g - 5*z = 26. Calculate the remainder when g is divided by 12.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -672 + 678. Calculate the lowest common multiple of 1866 and b.\nAnswer: 1866","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*p - k - 4 - 9 = 0, -4*k + 13 = 5*p for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 9076.503343 rounded to the nearest one hundred?\nAnswer: 9100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) be the third derivative of 30*v**2 - 1\/6*v**4 + 0*v + 2*v**3 + 0. Is p(-11) a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2024 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11010010010010011001111 (base 2) to base 6.\nAnswer: -403405223","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 550 and 25?\nAnswer: 550","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 1039 + 0?\nAnswer: 1039","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 10\/(-180)*3 + 25\/6. Differentiate 14 - 6 + 35 + 28 - 56*o**l with respect to o.\nAnswer: -224*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -x = -2*s + 6, -4*s + 13*x - 12 = 17*x for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*f = -11*f + 60. Let t be 4\/(-10) - f\/(-5). Suppose -7*k + t*k = -140. What is the tens digit of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(275)*1)**2 + -2 + sqrt(704).\nAnswer: 8*sqrt(11) + 273","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -87168 divided by 59\nAnswer: -87168\/59","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 851760?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = y - 40. Let m = 200 + -192. Let j(c) = m*c**2 - 21*c**2 + 10*c**2 + 2*c**2. What is w(j(r))?\nAnswer: -r**2 - 40","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 18246846 to the power of 1\/2, to the nearest integer?\nAnswer: 4272","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l - 404 = -m, 3*m - 2*l - 401 = 2*m. Suppose -5*w - 4*z + m = -0*w, w - 3*z = 73. What is the units digit of w?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 71 a factor of 487202?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -34 = -2*c + 34*f - 46*f - 222, 9*f = -2*c - 8*c - 175 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-1 - -7) + (-2)\/1. Suppose 0 = -k - k + b. Suppose -4*w + 4 = -3*u + 11, 14 = -k*w - 2*u. Let x(f) = f**3 + 5*f**2 + 4*f - 5. Determine x(w).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 318 minutes before 3:06 PM?\nAnswer: 9:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2454 (base 6) to base 13.\nAnswer: -37c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = 6*z**2 - 20*z + 1. Let i(s) = 6*s**2 - 16*s. What is -4*f(a) + 5*i(a)?\nAnswer: 6*a**2 - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is -3896\/73 >= -54?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -13 - -52. What is the tens digit of b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2781 + 2790. Solve 0 = -3*d - 21 + r for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Is 108895 a multiple of 289?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = x**3. Suppose -8*i - 2 = -9*i. Let m be h(i). Suppose -5*g + 13*g = m. Solve z + 4*u + 17 = 0, 3*z + 2*u + 12 = g for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1065\/7 - -152. Let f be (-18)\/40 + ((-84)\/(-20) - 4). Which is the nearest to f? (a) 5 (b) i (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 811088270?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 12, g: 1, p: 7}. What is prob of picking 1 h and 1 g?\nAnswer: 6\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 1, -44, -9, -4, -5, -27.\nAnswer: -44, -27, -9, -5, -4, 0, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 843612596 to the power of 1\/8, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = 19*t**2 + t - 1. Let q be r(-2). Let x = 67 - q. Is (x\/(-30))\/(3\/75) a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 + 9 + -3 + -6?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 512143889 to the nearest integer?\nAnswer: 22631","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*sqrt(272) + 2 + sqrt(272) + 3 + (sqrt(136)*-3*-3)\/(-2*sqrt(200)).\nAnswer: 5 + 191*sqrt(17)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w\/(w*w\/w**(-43)*w)*(w*w**(-5)\/w)\/w assuming w is positive.\nAnswer: w**(-51)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 691866943?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 5a - -4022?\nAnswer: 407c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 12101460?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = 3*g**2 + 32*g - 8. Let r be n(-11). Suppose 4*f - f + 4 = -l, -r*l = 4*f + 2. Find the first derivative of -3*m**2 + m**2 - 1 + 2 - 6*m**l wrt m.\nAnswer: -16*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = 39*v**3 + 77*v**2 + 58*v - 1. Let x(n) = -n**2 + 5*n - 1. Let d(o) = -h(o) + 3*x(o). Factor d(i).\nAnswer: -(i + 1)**2*(39*i + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 613.3083nm?\nAnswer: 0.6133083","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 8.26 to one decimal place.\nAnswer: 8.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Add together 4052510 and 0.058.\nAnswer: 4052510.058","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find x, given that 5*x**5 - 9600*x**4 - 684910*x**3 - 2576100*x**2 + 684905*x + 2585700 = 0.\nAnswer: -65, -4, -1, 1, 1989","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-35 - -2)\/(-1) - 2 is divided by (4 + (-25)\/10)*12.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 2063, 4107, 6151, 8195?\n\"Answer: 2044*s + 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 318 and 1058304?\nAnswer: 318","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 120517 and 931.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 470579 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -132 - -25. Let c = f + 195. List the prime factors of c.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) be the second derivative of c**5\/30 - 2*c**4\/9 - c**3\/9 + 4*c**2\/3 + c. Factor n(l).\nAnswer: 2*(l - 4)*(l - 1)*(l + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -a**3 + 54*a**2 + 295*a = 0. What is a?\nAnswer: -5, 0, 59","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 73053202?\nAnswer: 2, 193, 189257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -22*t**2 + 22*t**2 + 4*t**3 - 35.\nAnswer: 4*t**3 - 35","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(280) + 2*sqrt(280) - sqrt(280))\/sqrt(7))\/((-2*sqrt(64))\/sqrt(8)))**2.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5 = -3*w + 7 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -40*v + 8225 - 7465 = 0 for v.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -g + 4*v + 18, 2*v + 18 = 19*g - 14*g for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o = 2*n - 14, 7 = 2*o + o - 5*n. Let p(y) = y - 4. Let c(k) = -3*k + 11. Give o*c(l) - 17*p(l).\nAnswer: l + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1314 is divided by 301?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2769?\nAnswer: 3, 13, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25*s + 29*s + 67*s = 5*s - 1518 for s.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 38660 or 38634?\nAnswer: 38660","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2095 - -2483. What are the prime factors of j?\nAnswer: 2, 3, 7, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 57816 a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -3297200 divided by -82430\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 3*11*1*36\/(-432). What is the nearest to -2 in 4, h, -0.3?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.8? (a) 0.2 (b) 74 (c) -4.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 224 = 5*v - 2*l, -5*l = 5*v - v - 166. What is the remainder when v is divided by 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -3*n**2 + 2*n - 6. Let a(q) = q**2 - q + 1. Let t(y) = 6*a(y) + p(y). Calculate the remainder when t(4) is divided by 11.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence oe when two letters picked without replacement from {l: 1, s: 1, o: 1, q: 1, e: 2, b: 1}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = 23*d + 82. Let m be a(-6). Let j be 3*(m\/(-36))\/(-7)*3. Is -5\/8 at least j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-6 - (3 + (1 - 14))) + 8767.\nAnswer: 7, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 2, 1, -3901 in increasing order.\nAnswer: -3901, 1, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 6 - -3 - 17\/(34\/12). Solve z - 6*z = -g + 5, 0 = j*z - 4*g + 3 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -1, 0, 5, 2\/3 in decreasing order.\nAnswer: 5, 2\/3, 0, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -118.6 + 118.60001052. What is u rounded to 7 dps?\nAnswer: 0.0000105","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -3*y**3 + 10*y**2 + 14*y - 7. Let g be k(8). Let t = 1653\/2 + g. Find the common denominator of t and -37\/2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 32300541 - -5.\nAnswer: 32300546","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 291146?\nAnswer: 2, 149, 977","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -107\/6 - -33\/2. Let z = 151 - 155. Suppose -4*q = 4*p + 20, -7 = 4*p + q + 1. Sort y, p, z.\nAnswer: z, y, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -22 - -23. What is the units digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1985, 4, -5, -6575 in descending order.\nAnswer: 1985, 4, -5, -6575","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide 263250 by 412.\nAnswer: 131625\/206","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 22435, 44929, 67479, 90085, 112747?\n\"Answer: 28*g**2 + 22410*g - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 262891?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 4 + 11. Let t be 3 - (96\/s + -3). Let m be 1\/14*(3 - -3 - 4). What is the biggest value in -0.5, t, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.016+751383\nAnswer: 751383.016","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1416, -2, -4, 5 in decreasing order.\nAnswer: 5, -2, -4, -1416","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -2*z**3 + 4*z**2 + z + 3. Suppose y - 7 + 3 = 0. Let c be i(y). Let o = -36 - c. Is o a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 17.68 - -0.32. Let f = -23 + t. Which is the nearest to -1? (a) f (b) -2.9 (c) 3\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = 125686*r**2 + 290*r + 145. Let q(t) = 5237*t**2 + 12*t + 6. Give -6*d(z) + 145*q(z).\nAnswer: 5249*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2850 and 399?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = w**2 + 12. Let y(v) = v**2 + 10. Let i(b) = 5*l(b) - 6*y(b). Let t(a) = -a + 33. What is i(t(g))?\nAnswer: -g**2 + 66*g - 1089","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -316022 (base 8) to base 3\nAnswer: -12100201001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.023, -2, 0.1?\nAnswer: 0.023","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 136 is divided by 52.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 174673755 is divided by 2999?\nAnswer: 2998","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (-20)\/(9\/(18\/4))\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*u + 12 - 54. Suppose 0 = 18*w + 163 - 703. Let r = u + w. What are the prime factors of r?\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -1\/96 and -91\/120.\nAnswer: 480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/25 of a centimeter in micrometers?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = i**3 + 3*i**2 - i + 1. Suppose -2*o + 3*y - 12 = 2*o, 2*o + y + 6 = 0. Let f be s(o). Solve 36 = -5*a + f*x, -3*a - x + 0*x - 8 = 0 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(9)\/(2*sqrt(3)))**2 + sqrt(3))*-5.\nAnswer: -5*sqrt(3) - 15\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -a + 9. Let v be d(6). Suppose 0 = 2*u - v*u. Let r = u + 6. Is 6 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wivdwiddwwsw. What is prob of picking 1 s and 3 d?\nAnswer: 1\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) be the third derivative of 1\/60*x**6 + 0*x - 3\/35*x**7 - 50*x**2 + 0 + 0*x**3 - 1\/30*x**5 - 1\/4*x**4. What is the third derivative of q(g) wrt g?\nAnswer: -432*g + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 38 a factor of 162868?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*d - 9*d = 57. Let y = 23 - d. Suppose y*c = -6*c + 700. Is c a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.061 in -4, 1, -2?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 43 - 23. Suppose -7*o + 3*o + c = n, 4 = 2*o - n. Calculate the remainder when 32 is divided by 46\/o + 2\/(-4).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = 3*p**2 + 193*p + 429. Calculate j(-62).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-17 - 2) + -18 + (48 - 19) - -116 - 2.\nAnswer: 106","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -74*k + 16*k - 22*k.\nAnswer: -80*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide -149230125 by -5.\nAnswer: 29846025","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7270*z - 2901 = 25629 - 6775 + 7325 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h - 3*s + 13 = 5*h, -h = 2*s - 4. Let y be 940\/630 - h\/(-9). Factor -3\/7*f**4 + 0 + 12\/7*f**3 + 0*f - y*f**2.\nAnswer: -3*f**2*(f - 2)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 238 - 178. Let h = l - 59. Which is the second biggest value? (a) -0.3 (b) h (c) -20 (d) 1\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 1300176?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 10296782 to the nearest integer?\nAnswer: 218","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 26, 52.\nAnswer: -5, 26, 52","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 3, -12699, -5, 6\/7, -0.073, -0.2?\nAnswer: -0.073","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 32, 64, 92, 116, 136, 152?\nAnswer: 164","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -y**2 + y. Let f(u) = 7*u**2 + u + 4. Let k(q) = -f(q) - 2*o(q). Let n(j) = -9*j**2 - 6*j - 7. Determine -7*k(a) + 4*n(a).\nAnswer: -a**2 - 3*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-1 + -19)\/(-2) - -2. Let d be (3\/(-2))\/(6\/a). Let f(v) = v**2 - 4. Calculate f(d).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 0.9194828 decades?\nAnswer: 110.337936","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 41\/188786 or -1?\nAnswer: 41\/188786","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 33 - 32.938. Let k = m + -0.021. Round k to 2 decimal places.\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -10696 smaller than -802088\/75?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -53 + 58. What is the third smallest value in o, -2\/5, 0.1?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1168.2 - -80693724156?\nAnswer: 80693725324.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put -1407, 4, 3, -3, -2 in increasing order.\nAnswer: -1407, -3, -2, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -140*f + 1113 = 60*f - 41*f. Put -3, 3, f, -4, -1 in decreasing order.\nAnswer: f, 3, -1, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = 12*n**2. Let c(f) = f. Let v(a) = 2*a. Let o(t) = -4*c(t) + v(t). Determine y(o(p)).\nAnswer: 48*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*l = -9*l - 64. Suppose 0 = l*p - v - 19, 5*p = 18*v - 15*v + 15. Let b = -41 + 58. What is the remainder when b is divided by p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 20132223312 (base 4) to base 14.\nAnswer: 41c102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n + 7 = 0, -2*k - 18*n + 21*n = 17. Let d(h) be the second derivative of 0*h**k - 19*h - 3\/4*h**4 + 0*h**3 + 0. Let b(u) = -4*u**2. What is d(b(y))?\nAnswer: -144*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 q when four letters picked without replacement from {a: 2, q: 10}.\nAnswer: 14\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve z - 5*n - 139 = -133, -4*z - n = -45 for z.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 360 and 1449540?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.5? (a) -144 (b) 5 (c) 3\/7 (d) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 2\/13 (b) -30 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express -15*f**2 + 30*f**2 - 5*f**2 - 123*f**3 - 12*f**2 as v*f**3 + b*f**2 + i + a*f and give v.\nAnswer: -123","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 33277*y**2 + 72*y + 497.\nAnswer: 66554","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -131*o**3 + 70*o**2 + 506*o - 1. Is a(-8) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -6\/11 (b) 8 (c) 5\/8 (d) 62 (e) -0.2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3 (base 12) to base 16.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 4\/15 of a decade?\nAnswer: 32","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:23 PM and 1:16 AM?\nAnswer: 173","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5 + 103*v + 5 + 107*v + 144*v - 338*v.\nAnswer: 16*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 43 + -44. Which is bigger: 1\/30 or f?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rrigrorgrrgigrgroig. What is prob of picking 2 g?\nAnswer: 5\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -4, -12, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x = -7 - 3. Suppose 5*s - 5*j - 85 = 0, 2*s = -j + 12 + 25. Suppose -x*t + 4*q + 12 = -s, -3*q - 19 = -t. What is the units digit of t?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = 3*p**2 + 13*p - 90. Let l be r(11). Which is the biggest value? (a) 2 (b) -1 (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 644 a factor of 180488728?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 26772 to the nearest integer?\nAnswer: 164","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -13*v + 108. Let h be r(8). Let a(m) = m**2 - 25*m + 95. Let d be a(h). What is the highest common divisor of d and 121?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = f**3 + 3*f - 2 - 2*f**3 + 2*f**3. Let m(z) = -z**3 + z + 1. Let u(x) = -3*m(x) + s(x). Differentiate u(y) with respect to y.\nAnswer: 12*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-1\/8))**(-9\/5)\/(o\/(o\/o**(-26))*o*o\/o**22) assuming o is positive.\nAnswer: o**(1849\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 596 and 9238.\nAnswer: 298","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x = h - 6, -h + x - 4*x = 6. Let p be 4\/4 - (-21)\/(-24). Which is greater: h or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -11, -5, -1, 106 in descending order.\nAnswer: 106, 4, -1, -5, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1613*w + 1609*w + 1605*w - 4827*w + 67*w**3.\nAnswer: 67*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 183 divide 11895?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hhhh when four letters picked without replacement from {h: 7, z: 2}.\nAnswer: 5\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(513)\/(sqrt(9) + (sqrt(441) - sqrt(441)*-2)))\/((sqrt(36)\/sqrt(3)*-1 - sqrt(12))\/sqrt(4))*-5 + -5.\nAnswer: -5 + 5*sqrt(19)\/44","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -w**2 - 5*w + 3. Give u(-4).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u and 2 e when three letters picked without replacement from ekuauuakukaauuknunkk?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = 13*f + 95*f + 110*f - 5*f + 25. Does 17 divide o(1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 130, 264, 398?\n\"Answer: 134*w - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + 2*((sqrt(252) + 4)**2 + sqrt(252) - sqrt(252)) + 1 + -1.\nAnswer: 96*sqrt(7) + 535","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 77 divided by 4?\nAnswer: 77\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is b462 (base 15) in base 3?\nAnswer: 1221021202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 10\/8 - (-36)\/(-48). Let x = -1 + i. Let z = 566 - 571. Which is the nearest to x? (a) -4 (b) 0.5 (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c + 9 = 0, 7*c = 5*z + 8*c - 2218. Let h = z + -440. Solve -h = -3*y + i, -i + 5*i + 12 = -y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -18667*o - 14697. Let j(a) = -4667*a - 3674. Let c(b) = 25*j(b) - 6*l(b). Differentiate c(v) with respect to v.\nAnswer: -4673","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 69 is divided by 5\/25 + (-119)\/(-5).\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 84390?\nAnswer: 2, 3, 5, 29, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -b5f9 (base 16) in base 10?\nAnswer: -46585","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-2\/57)*v**11*v)\/(v*v**(-1\/2)\/v*v)**29 assuming v is positive.\nAnswer: v**(-289\/114)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vqqvvqqvqvvv. What is prob of picking 2 q?\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 38494, 76990, 115514, 154072, 192670, 231314, 270010?\n\"Answer: l**3 + 8*l**2 + 38465*l + 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 88102051?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -1*(-1 + (0 - 1)). Suppose -g*d + 3*d + 1 = 0. Let o = d + 12. Calculate the remainder when 32 is divided by o.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1 + 1.3. Let v = -20447 + 20447.9. Sort v, i, 2\/13 in descending order.\nAnswer: v, i, 2\/13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) be the third derivative of -t**4\/24 + 4*t**3 + 19*t**2. Let a be o(-6). What is a rounded to the nearest one thousand?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 434 and 257369.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1301330 - 204331?\nAnswer: 1041444","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -203*j**3 + 5*j**2 + 43*j + 68. Calculate the smallest common multiple of 18 and q(-2).\nAnswer: 4878","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = a**3 - 6*a**2 + 7*a - 7. Let f be h(5). Suppose 0*q - q = 3*i - 3, f*i - 6 = -2*q. What are the prime factors of q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qqc when three letters picked without replacement from {s: 5, e: 1, q: 5, c: 1}.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -2*t**2 - 28*t + 554. What is j(11)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:27 PM and 8:45 AM?\nAnswer: 678","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 167574.32407 to 0 dps.\nAnswer: 167574","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 5933045 and 235.\nAnswer: 235","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 20161 - 20134.0395. Let f = u + 0.0395. Sort -5, f, 0.3 in ascending order.\nAnswer: -5, 0.3, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 0 + 1)*(5*t - t - 5*t)*(-3*t - 2*t - 8*t).\nAnswer: -13*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4096*x**5\/5 + 17664*x**4\/5 - 6036*x**3 + 25516*x**2\/5 - 10668*x\/5 + 1764\/5.\nAnswer: -4*(x - 1)**3*(32*x - 21)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 984 a multiple of 80?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-13 + 13 + 23*g)*(0*g - 5*g**2 + 0*g) - 6*g**3 + 2*g**3 + 2*g**3.\nAnswer: -117*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = b - 35. Give u(8).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 19858, 19872, 19886, 19900, 19914, 19928?\nAnswer: 19942","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -674*w + 351*w - 30*w**2 + 335*w to d*w**2 + c + s*w and give d.\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -3, -2.5, -3\/5, 10.5, 0.2.\nAnswer: -3, -2.5, -3\/5, 0, 0.2, 10.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in -5, 4189, 2, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-13)\/(-286) + 221\/1430)\/(2\/5). Solve 5*z - 9\/2 - x*z**2 = 0.\nAnswer: 1, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3525 a multiple of 164?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 3, m: 4, a: 1, d: 3}. What is prob of sequence mma?\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -13637\/6 + 2260. Let n = 29 - 23. Calculate the common denominator of (3 - n) + 147\/24 and d.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = 2818*b**2. Let k(f) = -5*f**2 + f. Let l(t) = -9*t**2 + 2*t. Let n(x) = -2*k(x) + l(x). Determine n(u(y)).\nAnswer: 7941124*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-1)\/5 - (-153)\/15. Let p(t) = 6*t + 12. Let g be p(-2). Suppose g = l, -b - 3*l = 3*b. Solve 2 + o = -3*u, -n - u - 4 = b for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 689 minutes before 2:24 AM?\nAnswer: 2:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 34, 287, 972, 2305, 4502, 7779?\nAnswer: 12352","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = j**3 + 10*j**2 + 10*j + 10. Let t be r(-9). Suppose -x - 3 = -4*x. Suppose 0 = -5*u + 9 + x. What is the highest common divisor of t and u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -15*b + 25*b - 12*b - 12*b. Let n(f) = 8*f - 4. Let v(r) = -57*r + 30. Let s(g) = -15*n(g) - 2*v(g). Calculate s(z(u)).\nAnswer: 84*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 105343 - 63097. List the prime factors of i.\nAnswer: 2, 3, 2347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 e when three letters picked without replacement from {m: 3, e: 7}.\nAnswer: 7\/24","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -35149078*b + 61 + 35149078*b - 8*b**3.\nAnswer: -8*b**3 + 61","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -12.081338 less than -1084034?\nAnswer: -1084021.918662","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 85 is divided by 68?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1.9 + 2. Let w = 46404793689\/1705 - 27216887. Let c = 2\/341 + w. Put 3, c, i in descending order.\nAnswer: 3, c, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -59 divided by 251299?\nAnswer: -59\/251299","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -2*v + 30. Let f(r) = 33*r**2. What is q(f(g))?\nAnswer: -66*g**2 + 30","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put 6, -5, -2, -64, 2 in descending order.\nAnswer: 6, 2, -2, -5, -64","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*n - 2*n = 5*i - 8, -i = 4*n + 2. Let j = 4 - i. Suppose j*f + 3*f = y + 50, f + 2*y - 21 = 0. Is f prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3542745 to the power of 1\/2, to the nearest integer?\nAnswer: 1882","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.9 + -2.9. Let s = i + 1.99999988. What is s rounded to six decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -225, -5, 0, 13, -59, 9 in decreasing order.\nAnswer: 13, 9, 1, 0, -5, -59, -225","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -6059, -6244, -6479, -6788, -7195, -7724, -8399?\nAnswer: -9244","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 42032313 by -6.\nAnswer: -14010771\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -14 - (-6 + -54) - -58?\nAnswer: 104","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 12289*b**2*d*l**2 - 23*b**2*d - 71*b*d*l + b - 320*d*l**2 wrt b.\nAnswer: 24578*d*l**2 - 46*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 2155004240 - 0?\nAnswer: 2155004240","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = 51*g**2 - 8*g + 4. Is s(3) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10094181 greater than 10094186?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-3)\/(-2)*12\/9. Let t = 3 + -2. Let y = t + 0. Solve -k - y = d for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -123332b (base 12) to base 16\nAnswer: -363113","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000036827 to seven decimal places.\nAnswer: -0.0000037","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (-35)\/(1120\/424) + (-1)\/(-4)\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 + -20 + 6 - (-5 - 9)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 2\/15 (b) 1 (c) -5 (d) 2 (e) -13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-79)\/158)\/(1*(-5 - -1)). Let o(d) be the third derivative of -m*d**4 + 0*d + 1\/20*d**5 + 0 + 0*d**3 - 6*d**2. Factor o(h).\nAnswer: 3*h*(h - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:01 PM and 12:15 AM?\nAnswer: 194","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-9)\/(-1) - (-68)\/(-17).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3.408 + 0.4.\nAnswer: -3.008","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 7408015 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = 9*l**2 - 61*l - 26. What is the remainder when n(9) is divided by 69?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 - 3 - 2*c + 14*c - c**3 - 4*c + 12*c**2 - 6*c as f*c + b*c**2 + s*c**3 + l and give s.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 21*l**5 + l**4 + 258*l**3 - 390223*l**2 + 2 wrt l?\nAnswer: 1260*l**2 + 24*l + 1548","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7857413.\nAnswer: 47, 3557","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -16 (base 7) to base 14\nAnswer: -d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 98354 is divided by 2012.\nAnswer: 1778","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 397*c - 2*f + 6 = 401*c, -4*c - 19 = 7*f for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.9309818ug in milligrams?\nAnswer: 0.0009309818","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = 3617*c + 14493. Determine y(-4).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 100516?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.36 + -0.04. Let s = -191 - -137. Let b = s + 49. Which is greater: d or b?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3102701224.\nAnswer: 2, 7, 55405379","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 498*v - 498*v + 4*v**2.\nAnswer: 4*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -24680000 to the nearest 1000000.\nAnswer: -25000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 81480558?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-4)\/16 - 122\/(-8). Let y be 1945\/h + 3 + (-33)\/9. Calculate the greatest common divisor of y and 172.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -346403 times -0.4\nAnswer: 138561.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7 - 16 + 5 - 4*m.\nAnswer: -4*m - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-9 - (-5 + -5)) + 3 + -9.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -130 - -131. Let v = -12 + 21. Let x(a) = 1 + v*a**2 - 8*a**2 + 1 - 2*a. Let t(i) = i. Give p*x(s) + 2*t(s).\nAnswer: s**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = 9*t + 234. Determine o(-35).\nAnswer: -81","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is three eighths of a microgram in nanograms?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(sqrt(26)\/(sqrt(2) + (-2*sqrt(200) - sqrt(200))) - (1 + sqrt(468) + sqrt(13) - sqrt(156)\/sqrt(192))**2).\nAnswer: -9493\/8 - 785*sqrt(13)\/29","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = t**2 - 15*t - 11. Let p be g(16). What is the third derivative of 10 + 3*y**2 + 2*y**5 - 10 - 4*y**p wrt y?\nAnswer: -120*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -21*a - 4. Let n(s) = 2*s - 14725. Calculate r(n(f)).\nAnswer: -42*f + 309221","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -34633, -69344, -104055, -138766?\n\"Answer: -34711*n + 78","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 51 and 557617.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xuuxxwuuxxxxwxxuxux. What is prob of sequence uxu?\nAnswer: 55\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 339966 and 11798.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) be the second derivative of z**4\/4 + 7*z**3\/3 + 4*z**2 - 65*z. What is the tens digit of d(-13)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 31.94 + 0.06. Let i = r - 32.3. Let c = 3.99 - -0.01. What is the third smallest value in 0.4, c, i?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 70 = 2*c + 62. Suppose -5*l + c*v + 28 = -0, -2*v = l. What is the nearest to -3 in 1\/5, 0.3, 2, l?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(396)*-2)**2.\nAnswer: 1584","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 631407719 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -52 + (49 - -10 - 34)\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -17 + 14. Suppose 3*a = 8*a - 25. Put a, s, -5 in decreasing order.\nAnswer: a, s, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = i**3 - 52*i**2 + 140*i + 37. Calculate v(49).\nAnswer: -306","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w = -4*a - a + 20, 2*a = 4*w + 8. Suppose 0 = j - w*j - 25. Suppose 5*o - j = -5. What is the units digit of o?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 6207*u**5 + 1338*u**5 + 3014*u**5 + 55*u - 9254*u wrt u.\nAnswer: 211180*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 311131 and 1446.\nAnswer: 241","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 + 2 - (48 - 40) - 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 4899103819 to the nearest integer?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 3 times 268\nAnswer: 804","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide 154?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 487025823?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Work out 9084 * -160.\nAnswer: -1453440","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -5 (base 9) to base 8\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -528597880 or -528597879?\nAnswer: -528597880","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j = 5*j - r - 23, -2*j + 14 = -r. What is the greatest common divisor of 3744 and j?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 74\/(-9) - (36 + -44).\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*b - 4*b + 2*b)*(8 + 4 - 5) to the form h*b + s and give h.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 372?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 194 divided by -194\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 11010 and 90.\nAnswer: 33030","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*p**3\/7 - 86*p**2\/7 - 1910*p - 39550.\nAnswer: 2*(p - 113)*(p + 35)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2173*s + 46897 + 7428 for s.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -84*c + 83*c + 759 = 0. Suppose 5*l - 167 = x - 47, -l = -x - 28. What is the highest common factor of l and c?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 802182?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-6)\/14 - 186\/(-42). Solve 5*v + b = -9, -4*v + 2*b = -3*v + l for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 167 - 292. Let x = z + 190. Suppose 0*s = 3*s - 66. Calculate the remainder when x is divided by s.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = x, -5*v - 92 = -7*v + x. Calculate the highest common divisor of 5 and v.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-6)\/4*6\/63. Let i = -0.2 + 0.1. Let j = 659.5 - 665.5. What is the second biggest value in i, x, j?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = 4*k - 3. Let d be q(3). Let r = -10 + d. What are the prime factors of (-16)\/((-2)\/r)*-2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -4 - -6. Let b = -1.35 - -0.85. What is the smallest value in -44, b, x?\nAnswer: -44","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -43*v - 18*v - 336 - 30 for v.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*x - 2*x - x**3 - 4*x.\nAnswer: -x**3 - 2*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 40292508 to the nearest integer?\nAnswer: 343","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3774 to the nearest integer?\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 4, u: 2, t: 1, h: 2, z: 3}. What is prob of sequence hz?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = 2*o**3 - 53*o**2 - 304*o + 392. Give g(31).\nAnswer: -383","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -80*t = -71*t - 189. Suppose -3*n - t*n = -122088. Is n a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -l + 5. Let p be b(6). Let x be 114\/(-9) - 2\/(-3). Let t be 2 - 0 - (-34)\/x. Sort t, p, -0.1.\nAnswer: p, t, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 8069.98947 to the nearest 100.\nAnswer: 8100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(-3 + -2 + sqrt(300)*3 + sqrt(300) + sqrt(300) + ((sqrt(300) - sqrt(300)*-1) + 1)*-3)**2.\nAnswer: -1820 - 800*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ytyyvyyyyvyyty. Give prob of sequence yy.\nAnswer: 45\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -i**2 - 9*i - 7. Let f be 544\/51*(-9)\/(-4). Let o be (-23)\/(-5) + 4\/10. Suppose 9*a + f = o*a. Calculate j(a).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 11420 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 4541073 and 4023.\nAnswer: 40869657","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -z**3 - 4*z**2 + 5*z - 5. Let t be f(-5). Let u = t - -7. Suppose u*j = -j + 60000. What is j rounded to the nearest ten thousand?\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -13*s. Let i(k) = 47*k**2 - 77*k + 1. Determine i(b(j)).\nAnswer: 7943*j**2 + 1001*j + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 739c (base 13) to base 15.\nAnswer: 4b2a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(3) - sqrt(192)\/sqrt(4))**2*1.\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -j = -42*i - 111, -484*i = 482*i - 965*i - j + 29 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 56582?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2287072 and 204?\nAnswer: 116640672","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 74\/148 - 70\/(-84)?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j = -4*j - 3*m + 18, -j - 2*m + 1 = 0. Let i(h) = -7*h - 1. Let r(b) be the second derivative of 5*b + 0 + 13\/6*b**3 + b**2. Calculate j*i(k) + 6*r(k).\nAnswer: k + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 8\/2 - 36\/9. Suppose o*l = l. What is the first derivative of -9 + 3 + l*m**2 - 2*m**2 wrt m?\nAnswer: -4*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -78, -4\/3, 5, 1\/2, -2.\nAnswer: -78, -2, -4\/3, 1\/2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 7290*j**3 + 699*j**2 - 157*j + 80*j + 249 - 695*j**2 + 79*j wrt j.\nAnswer: 43740","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = b**3 - b + 1. Let r(l) = 4*l**3 - 5*l + 6. Let i(g) = -3*g**2 - 22*g + 97. Let y be i(11). Let d = y + 503. Calculate d*q(h) + r(h).\nAnswer: -h**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) be the second derivative of -w**6\/120 - w**5\/10 - 5*w**4\/24 + 5*w**3\/6 + 2*w**2 + 2*w. Let l(g) be the first derivative of r(g). What is l(-5)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 5630 - 5656. What is the fourth smallest value in 0, -1\/4, -0.04, y, 4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23419 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = 7*n - 185. Let u be z(29). Solve r - 15 + u = 0 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zzvvuzzzzuzzzzv. Give prob of picking 2 v.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: ((-3237)\/2856 - -1) + ((-8025)\/600)\/(-107)\nAnswer: -1\/119","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -5*w**2 - w**2 + 10*w**2 + 34 - w**2 - 3*w. What is the smallest common multiple of r(-10) and 18?\nAnswer: 3276","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 257105 is divided by 887.\nAnswer: 762","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b and 2 n when three letters picked without replacement from {r: 1, f: 1, b: 1, c: 1, n: 3}.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-1\/4))**(-19)*n**(-7)\/n*n**(2\/7) assuming n is positive.\nAnswer: n**(-83\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -130*a**2 - 4. Let c(d) = 43*d**2 + 1. Let s be -20 + (-13 - -39) + -4. Calculate s*y(p) + 7*c(p).\nAnswer: 41*p**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m - 4*v - v = 6, 2*m + 4*v + 6 = 0. Let c be (m + (-17)\/18)\/(73\/292). Determine x, given that -20\/9*x - 2\/3 - 4\/3*x**3 - c*x**4 - 8\/3*x**2 = 0.\nAnswer: -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + sqrt(99)\/sqrt(9) + sqrt(11) + sqrt(176) + -4)**2.\nAnswer: -96*sqrt(11) + 460","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 657, 1467, 2275, 3081, 3885, 4687?\nAnswer: 5487","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.9 - -0.5. Let m = 8 - 8.2. Which is the nearest to 0? (a) m (b) x (c) -1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 1 + -326?\nAnswer: -325","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -74*y + 1748. Is 76 a factor of i(0)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -278*c + 9 - 89*c - 214*c.\nAnswer: -581*c + 9","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 17306923 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 12 - 23\/2. Let x = -19 - -29. Which is bigger: x or r?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 7\/4 of a millennium?\nAnswer: 175","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find f, given that 1\/3*f**2 - 12 + 3*f = 0.\nAnswer: -12, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -238 + 49. Let i = 186 + r. What is the second biggest value in -0.6, i, 5, -4?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 42*y - 12*y = 19*y - 66 for y.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Work out -346 + 2.\nAnswer: -344","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -20302300213 + 10?\nAnswer: -20302300203","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i + 102 = u, 4*i + 3*u - 201 = 2*i. Let x = -99 + i. Solve -x*d = -d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -35a0 - 7cc?\nAnswer: -409c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((n\/(n**(-18)*n)*n)\/n)\/n*n**(2\/3)*n)**(-38))**(7\/2) assuming n is positive.\nAnswer: n**(-7448\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + 6*((-1 + sqrt(891) + -5 - (-5*(-4 + sqrt(891)) - sqrt(891))) + 3))**2.\nAnswer: -103572*sqrt(11) + 1590493","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = 3*g - 2. Suppose 1 = -s, v - s = -0*s - 3. Let u(j) be the third derivative of -13*j**4\/24 + 3*j**3\/2 + 5*j**2. Calculate v*u(o) - 18*f(o).\nAnswer: -2*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -130 = -6*j + 110. Calculate the remainder when j is divided by 11.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -1603*b**4 - 6390*b**4 - 5081 + 2466 - 3301 wrt b?\nAnswer: -31972*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 22 and 3837152?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (18\/42)\/((504\/(-49))\/(-9))?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -45.036453 rounded to 2 decimal places?\nAnswer: -45.04","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -88050*c**2*w**3*x**2 + 2*c**2*w**3*x - 90315*c**2*w**2 - 22*w**3*x**2 + 14*w**3*x wrt x?\nAnswer: -176100*c**2*w**3 - 44*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -28 + 28.2. What is the third smallest value in 2\/9, 1, t?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -k**3 - 4*k**2 - 4*k + 4. Let d be z(-3). Suppose -d*c = -2*c - 55. What is the remainder when c is divided by 5?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/96*(-78)\/52?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 352 = -3*i - t, 3*t = 5*t + 2. Let q be (i\/15 - -5)\/(2\/(-5)). Suppose 6*z + 3*o = q*z - 124, -2*z - 2*o + 232 = 0. What are the prime factors of z?\nAnswer: 2, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from szmmmmmmzzssmmmsz. What is prob of sequence ms?\nAnswer: 9\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b\/b**(1\/4)*b**14*b\/((b*b*b**(1\/19)*b)\/b)*b\/b**(-16) assuming b is positive.\nAnswer: b**(2333\/76)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10001 (base 2) to base 10.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -9.03 + 0.03. Let h = o + 8. Which is the nearest to h? (a) -1\/4 (b) 4 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -3 + 64*l + 0 + 3 + 1. Let k be j(-1). Let t be 2\/7 - (-18)\/k. Solve w = -t*w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 411627.\nAnswer: 3, 137209","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*f**2 + 144*f - 4180 = 0.\nAnswer: -55, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -128 = -5*k - 108. What is the closest to 0 in 7, 2, k, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = y**2 - y + 4. Let r(a) = -229*a**2 + 2*a - 3. Let d(o) = -b(o) - r(o). Find the second derivative of d(u) wrt u.\nAnswer: 456","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 27 + -24. Solve 3*f = -5*j + 14, f - 14 = h*j - 7*j for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o, 1 e, and 1 v when three letters picked without replacement from {e: 5, o: 4, v: 1}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of t**4 - 10*t**3 - 183*t wrt t.\nAnswer: 12*t**2 - 60*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.64, -0.1, -2\/9?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -22*10\/20 + 11. Which is smaller: 4\/67 or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: Work out -0.162 + -736837.\nAnswer: -736837.162","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*l - 4*l + l)*(0*l + l + l).\nAnswer: 2*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1228859563 + 1228860285.000341. Let h = r - 722. Round h to five dps.\nAnswer: 0.00034","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) be the first derivative of -5*b**4\/4 + 520*b**3\/3 + 5*b**2\/2 - 520*b - 693. Let c(q) = 0. Calculate q.\nAnswer: -1, 1, 104","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 98102326 and 70.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 799, -39, 0, -4 in descending order.\nAnswer: 799, 5, 0, -4, -39","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 3\/4*(-1 + 5). Solve 2 = y*s - 1 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -1\/3, -11\/6, -0.271, 0.1, 0.9, -0.2?\nAnswer: -0.271","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -w**3 - 25*w**2 + 35*w + 129. What is c(-26)?\nAnswer: -105","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = 2*y**2. Let s = 65 - 58. Let d(l) = 1 - s - 163*l + 6 + 19*l. What is o(d(x))?\nAnswer: 41472*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -3*s - 5. Let f be j(-4). Let z be (f*-1 - 0)*-1. List the prime factors of 1\/(-1 + 8\/z).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b - 8*b = -1720. Let l = -363 + b. Calculate the remainder when l is divided by 18.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6824?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 317 minutes after 3:19 AM?\nAnswer: 8:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -58 - -19. Let s = -109 - -185. Let v = s + r. Is v composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 2*((-1)\/2 + 1). Solve -d - 5 = j - 4*m, 4*j + 4*m = 16 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -192*x - 33*x - 163*x + 10677760 = 0. Is 8 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9402?\nAnswer: 2, 3, 1567","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2338*x - 2354*x + 2*x**2 - 165 + 4690*x to m*x + i + g*x**2 and give i.\nAnswer: -165","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 22989 - 50*w**2 - 22989.\nAnswer: -50*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = w**2 + 9*w + 3. Let u be r(-8). Which is the closest to -1? (a) u (b) 1\/3 (c) -6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w and 2 v when three letters picked without replacement from {p: 1, i: 1, w: 2, v: 2}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = o**3 - 7*o**2 + 8*o - 4. Let u be i(6). What is the units digit of 2\/2*8\/(u\/117)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 2 + (68 - 2\/1). Let b = -35 + a. List the prime factors of b.\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:29 AM and 8:22 AM?\nAnswer: 473","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*a = 5*z - 41, -4*z + 6*a + 172 + 134 = 258 for z.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 683.2203 hours?\nAnswer: 2459593080","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -42? (a) 190 (b) 0 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -46867.9 minus -46.61?\nAnswer: -46821.29","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = i**3 + i**2 + 2*i + 4. Give f(-3).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -14*t + 109. Let a be g(8). Let j be (-116)\/(-24) - (a\/(-18))\/(-1). Solve -m + 10 + 2 = -4*h, -j*m - 20 = 0 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 795127636?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -61828, -61813, -61810, -61825, -61864, -61933?\nAnswer: -62038","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*c = 3*p, p + 18*c - 21*c = 2 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Are 1 and 1\/1285399090 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 36 and 214698852.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*u - 2*p = 18*u + 3558, -p - 2847 = -4*u. Calculate the remainder when u is divided by 55.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.06 * -7.\nAnswer: 0.42","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is -71 at most as big as -22429?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*b = q - 17*b - 7, 4*b = q - 8 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = a**5 + a**2 - 1. Let y(z) = 3891*z**5 + 4076*z**2 + 5. Let s(f) = 10*o(f) + 2*y(f). What is the third derivative of s(m) wrt m?\nAnswer: 467520*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17 = -2*v - 3*t, 2*t + 1 + 9 = 0. Which is smaller: 255 or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = j**2 - 3*j. Suppose 0 = 2*p - 3*z - 159, 3*z + 375 = 12*p - 7*p. Let m be (-9 - p\/(-10))\/((-6)\/20). What is n(m)?\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 1705706*i**2*p - 2*i**2 - 2*i*p + 81084*i - p - 7 wrt p?\nAnswer: 1705706*i**2 - 2*i - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -31 - (15 - 56) - -19 - -13?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2.6 + -0.4. Let o = 0.3 - 0.4. Let l = -5.1 - o. What is the third biggest value in l, w, 1?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-63)\/18*40\/(-35).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -t. Let x(n) = -n + 1. Suppose -6 = 5*j - 0*v - 2*v, 0 = 2*j + 5*v + 14. Let a(w) = -3*w**2 - 3*w + 3. Let f(y) = j*a(y) + 6*x(y). What is f(q(i))?\nAnswer: 6*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 1125488000 divided by 56?\nAnswer: 20098000","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 233550311339 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -q**2 - 7*q - 11. Let l be k(-6). Let z = l - -3. Suppose 10 + 15 = -5*m. Let f(i) = -2*i + 3. Let b(p) = p**3 + 5*p - 7. Calculate m*f(o) + z*b(o).\nAnswer: -2*o**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24 = -5*d - 3*d for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = n + 1. Calculate the remainder when ((-4)\/5)\/(1\/(-5)) is divided by a(2).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -5853284*t**5 - 3*t**4 - 1364579*t - 8 wrt t.\nAnswer: -117065680*t**3 - 36*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 2984 and 0.266.\nAnswer: 793.744","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 414\/5, 6\/11, 1\/7, 1.\nAnswer: 1\/7, 6\/11, 1, 414\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve v = -11 + 11 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 12238287 to the power of 1\/2, to the nearest integer?\nAnswer: 3498","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*d + 0 + 0)*(-d**3 + d**3 + 2*d**3) + (16*d**4 + 7*d**3 - 7*d**3)*(-2 + 2 + 2)*(51 - 16 - 14).\nAnswer: 678*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express -12097*m - 4666*m - 217 + 217 - 19493*m in the form b + y*m and give y.\nAnswer: -36256","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -3*h**3 - 9*h**2 - 9*h. Suppose 24 = -11*x + 17*x. Let m(t) = 2*t**3 + 4*t**2 + 4*t. What is x*k(n) + 9*m(n)?\nAnswer: 6*n**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = b**2 + 9*b - 6. Let l be x(-10). Suppose -l*n = -2*c - 34, -4*n = 5*c - 5*n + 40. Let j = 2 - c. List the prime factors of j.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-16)\/40)\/((-7)\/5).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -37479.2618 to the nearest 10.\nAnswer: -37480","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 416873 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10 + 2 - (-15 + (-109 - -67)).\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 371966827?\nAnswer: 773, 481199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2696 - -2694. Which is the nearest to -222? (a) 0.5 (b) 7 (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (9 + 287\/(-35))\/((-1)\/5). Let r be -1140*55*d\/(-30). Round r to the nearest one hundred.\nAnswer: -8400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let l be (504\/(-35))\/(4\/(-50)). Suppose 2*w - l = -2*w. Suppose w = 4*j - 5*p, 5*p - 45 = -4*j + 2*j. Does 5 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1\/3 or -12\/901?\nAnswer: -12\/901","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 4*u - 3*u. Suppose u*q - i + 3*i = 230, i = -3*q + 229. Factor -t**5 - 76 + t**3 + q.\nAnswer: -t**3*(t - 1)*(t + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7631 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = 39*u + 7. Let n be a(-1). Let l = -14 - n. Let f(k) = -k**3 + 5*k**2 + 5. Let q be f(5). Solve 0 = q*r - 2 - l for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = 88265*z + 7414242. Calculate p(-84).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -124113312 + -3?\nAnswer: -124113320","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -38*c + 70. Let l(m) = 13*m - 25. Let q(w) = 5*h(w) + 14*l(w). Suppose 3*n + 0 = 6. Let t(i) = -4*i**2 + 3*i**n - i**2. Calculate t(q(s)).\nAnswer: -128*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = r**3 + 7*r**2 + 8*r - 2. Let w(p) = -4*p**3 - 28*p**2 - 32*p + 8. Let m(i) = 9*n(i) + 2*w(i). Let d be m(-5). Solve 0 = -5*x + d - 3 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.06*-0.052.\nAnswer: 0.00312","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -7*m + 15*m + 32 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is three tenths of a week in minutes?\nAnswer: 3024","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = 96*a + 8135. Determine s(-92).\nAnswer: -697","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -3723 or -3722?\nAnswer: -3722","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*y + 23*y - 57 = -4*x, 51 = 4*x + 5*y. Calculate the greatest common factor of x and 2443.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*n + 188 + 34 - 6*n + 12*n - 236.\nAnswer: -5*n - 14","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) be the first derivative of -2*c**6\/3 + 6*c**4 + 32*c**3\/3 + 6*c**2 + 133. Factor g(d).\nAnswer: -4*d*(d - 3)*(d + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 584 divided by -7046\nAnswer: -292\/3523","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/((z*z**(-21))\/z)*z)\/(z**7*z)*((z*z**(-16))\/z)\/(z**10\/z*z) assuming z is positive.\nAnswer: z**(-11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2196 is divided by 314.\nAnswer: 312","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1215 - 13*g - 1215)*(4*g**2 + g**2 - g**2).\nAnswer: -52*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -13878*o + 11162. Let g(w) = -13628*w + 11163. Let l(a) = 4*g(a) - 3*r(a). What is the derivative of l(v) wrt v?\nAnswer: -12878","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*p**3\/3 + 66814*p**2\/3 + 558047230*p\/3 + 557980418\/3.\nAnswer: 2*(p + 1)*(p + 16703)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*m**3 + 8012*m**2 - 3926560*m - 86028096 = 0. Calculate m.\nAnswer: -21, 1012","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -45497 or -45496?\nAnswer: -45496","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u - 57680 = -4*u. Suppose -u = -8*a - 2328. Is a a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-26)\/(-4))\/((-10)\/(-140)) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q + 7029 = 4*z, z + 4*z = -5*q + 8775. Suppose -21*p = z - 5284. Is 8 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x**3\/(x\/(x**(-2\/29)*x*x))*x**10\/x**(-2\/13) assuming x is positive.\nAnswer: x**(5310\/377)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d + 276 + 94 = 4*r, 2*d + 454 = 5*r. Let j be (-8)\/2 + r\/21. Let z = -9 - -6. Which is the closest to j? (a) z (b) 1 (c) -2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*sqrt(2736)*2)**2.\nAnswer: 175104","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1996 + -467. Suppose -1738 = -9*g + y. What are the prime factors of g?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -t. Let i(m) = -2*m + 4. Let y(l) = -i(l) - s(l). Let c be y(4). Let k = c + -8. Solve k + 3 = x for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-287)\/35 - 20\/25. Let c be ((-21)\/t)\/((-63)\/(-81)). Solve 5*q + 11 = -c*b - 5, 5*q + 2 = 4*b for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z = -5*c + 30, 2*z - 30 = -3*z + 2*c. Let l be (-58 + -8)\/(z\/(-4)). What is the smallest common multiple of 8 and l\/3*(-9)\/(-6)?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 28 - 60. Let g = -24 - t. What is the units digit of g?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*j**3 + j**3 - 3*j**3 + 3*j**3.\nAnswer: -6*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(98) + 0 + -1.\nAnswer: -1 + 7*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = m + 1. Suppose -3*u - 42 = -4*u. Let z be (-1)\/(-2) + u\/12. Let l(o) = -5*o - 5. What is z*l(r) + 22*w(r)?\nAnswer: 2*r + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = j + 45 - 57. Solve 3*d + d = j for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4552 is divided by 268?\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 123\/322 and -5\/392.\nAnswer: 9016","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1001 - 838.3. Let b = i - 7.7. Let d = b - 155.000166. Round d to five decimal places.\nAnswer: -0.00017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -9 + 6. Let g be 490\/119 + 0 + -4. What is the biggest value in g, -0.2, z, 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 54740 plus -630.38601?\nAnswer: 54109.61399","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 19460461 is divided by 76.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -390*t + 1754. What are the prime factors of k(-7)?\nAnswer: 2, 19, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*u + 10*u - 69 = 0. Suppose 3 = u*o, 42*w - 38*w + o = 217. What is the remainder when 159 is divided by w?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 115 at least 114?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l + s = -16 - 9, 3*l = -2*s + 70. Calculate the remainder when 388\/l - 1\/6 is divided by 9.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-18)\/(-7)*37\/(162393\/1078)?\nAnswer: 12\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-80 - 31 + 2)*(2 - 2 - 1)*(-7*i**2 + 3*i**2 + 17*i**2).\nAnswer: 1417*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 4048817 a multiple of 31?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -3*d**2 + 7*d. Let u(r) = -2*r**2 + 5*r. Let p(i) = -5*k(i) + 7*u(i). Let x(b) = 11*b**2 + 10*b**2 - 20*b**2. What is p(x(g))?\nAnswer: g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z = -4*t - 4, -2 = -3*t + 2*t + z. Let h(u) = 7*u**2 - 3*u - 3. Is h(t) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -149\/267 - -20\/89. Which is the nearest to v? (a) -0.2 (b) 2\/7 (c) 4 (d) 16\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9724223 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -c61b - 2d?\nAnswer: -c64a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 908 and 7264?\nAnswer: 7264","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 0 + -1 + 1*-3. Let t = 1510 - 1506. Let p be t\/z*2 + 22\/10. Which is the nearest to -2\/7? (a) p (b) 1\/4 (c) -0.06\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3.162 + 3.151. What is the biggest value in -1, -2, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -50 + 88. Let q = r + -59. Let m = -22 - q. Sort 0.5, -14, m.\nAnswer: -14, m, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 121169 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -2*j. Let s(v) = -57*v**2 - 69343*v + 69343*v. Calculate l(s(b)).\nAnswer: 114*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i = 6*i - 5*l - 130, 2*l - 102 = -5*i. What is the smallest common multiple of i and 16?\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 2484 (b) 0.2 (c) -0.1 (d) -37 (e) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9 + 2*w + 57 + 84 - 3*w.\nAnswer: -w + 150","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 293934750 to the power of 1\/10, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*k + k + 7*k)*(0*k + 40 - k - 37).\nAnswer: -6*k**2 + 18*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 6 + -3. Suppose s + 2*s - l = -8, l = 4*s + 11. What is the biggest value in j, s, 0.4?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7*s + 3*s - 5*s)*(8 + 3*s**2 - 8)*(4 - 4 - s)*(-2 - 1 + 2).\nAnswer: 15*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (-91 - -73) + (-50 - -35)?\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3091934 a multiple of 1067?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -g**2 + 5*g + 7. Let q(t) = 4*t - 3 + 2*t - 4*t. Let k be q(4). List the prime factors of u(k).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in twenty-five halves of a meter?\nAnswer: 12500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -26*a**3 - 78*a. Let s(t) = 9713*t - 19421*t + 9707*t. Give 78*s(i) - y(i).\nAnswer: 26*i**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 9702651898 to the nearest 100000.\nAnswer: 9702700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.13, -1, 7230?\nAnswer: 7230","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -2*u. Let o(v) = -6*v**2. Let c(a) = a**2. Let h(l) = l**3 + 12*l**2 - 13*l + 5. Let i be h(-13). Let m(p) = i*o(p) + 35*c(p). What is k(m(z))?\nAnswer: -10*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2\/17, 2\/3, 2\/9, -2\/7, 0.1, -79?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z + 60 = -6*f + 14*f, -52 = -4*f - 5*z. Solve 3*c - 4*p + 5 = -f*p, -2*p = 5*c - 1 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 - 1 = -2*l + 3*j, 5*j + 10 = -4*l. Let r(s) = 2 + s + l*s - 1. Let f be 4\/(-2) - (-3 - 4). Give r(f).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 l when two letters picked without replacement from {l: 2, i: 1}.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3.94382 - 0.05618. Let r be 1\/(-3)*6\/(-8). Which is bigger: r or g?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 229 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 - 1 + 4)*(-17 + 49 + 81)*(-3*r - r + 6*r)*(5*r + 10 - 6 - 7) as k*r + q*r**2 + m and give q.\nAnswer: 2260","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 0 - 1)*(-4 - 5*r + 4 + (-2*r + 3*r - 4*r)*(2 + 0 - 4) + 4*r - 3*r - 3*r).\nAnswer: -r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.765 + 0.465. What is the smallest value in -2, 18, k, 2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (5\/20)\/((-3)\/4). Let n = 15.4 - 15.6. Suppose -6 = 4*d - d. What is the nearest to m in 5, n, d?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from yuyzuyuuyyzuy. What is prob of sequence yuzy?\nAnswer: 5\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 5810 + -5805. Solve 5*u + 3 = -m + 1, -2*u = -m + g for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -357558861*n**4 + 621112193*n**2 - 2 wrt n?\nAnswer: -8581412664*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 31753 is divided by 2692?\nAnswer: 2141","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 173*p**2 - 61*p**2 - 29*p**2 - 16*p**2 - 33*p**2 - 30*p**2.\nAnswer: 4*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 266719304 to the power of 1\/3, to the nearest integer?\nAnswer: 644","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 5, c: 2}. What is prob of picking 2 o?\nAnswer: 10\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s and 2 q when three letters picked without replacement from {y: 1, s: 11, q: 5}?\nAnswer: 11\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 535710000 to the nearest one million.\nAnswer: 536000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -13946, -13956, -13966, -13976, -13986?\n\"Answer: -10*c - 13936","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = k + 1. Let a be x(3). Let p(y) = -y**3 + 4*y**2 + 2. Let f be p(a). What is the third derivative of 4*l**2 + f*l**4 - 2*l**2 + 0*l**2 wrt l?\nAnswer: 48*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -z**3 + 5*z**2 + 8*z - 7. Suppose -3*g + 85 = -5. Suppose 0 = -8*h + 2*h - g. Is s(h) a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = u**2 + 6*u + 7. Suppose 2*w = -7 - 3. Let f be x(w). What is the third derivative of 2*g**2 + g**6 - f*g**2 + 2*g**6 - 3*g**2 wrt g?\nAnswer: 360*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.176 + 17\nAnswer: 17.176","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = 2*l - 3. Let v(r) = 9*r**2 - 2*r + 9. Let f(u) = 37*u**2 - 9*u + 36. Let d(t) = l*f(t) - 9*v(t). What is the derivative of d(h) wrt h?\nAnswer: -14*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = 7*l**2 - 17*l + 13. Suppose 0 = 25*x - 348 + 73. Let t(u) = -4*u**2 + 9*u - 6. Let g(m) = x*t(m) + 6*p(m). Give g(-5).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = v**3 - 2*v**2 + 4. Let a be u(3). Solve a + 3 = -4*w for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -5 and 2.9.\nAnswer: -2.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide 692433 by 203.\nAnswer: 3411","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 513 and 135.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1410?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = a**2. Let v(g) = 819*g**2 - 200*g**2 - 234*g**2 - 218*g**2. What is q(v(u))?\nAnswer: 27889*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 (base 11) in base 15?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 33149 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t - 2*n - 5 = 0, 0*t - 30 = -3*t - 3*n. Suppose t*k = -0*k + 20. Solve 2*b + k = w, -3*b + 7*b + 4 = w for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(204) - -1*sqrt(204))*-5 + 5*-2*sqrt(204))\/(sqrt(9)\/sqrt(3)*6 + sqrt(147)*-6).\nAnswer: 10*sqrt(17)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = a. Let v(n) = -18*n. Let l = 316 + -304. Determine l*i(g) + v(g).\nAnswer: -6*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 103.99351 + -104. Round c to 4 dps.\nAnswer: -0.0065","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*p**4 - 219*p**3 + 573*p**2 - 465*p + 117 = 0. Calculate p.\nAnswer: -39, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 6 - 6.4. Let v = -0.4 - o. What is the closest to -0.2 in 4, 0.1, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*l**2 + 13*l - 10 - 4 + 14.\nAnswer: -2*l**2 + 13*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n - 30 = -42. Solve -7 = -g - n for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-6)\/(-10) + (-676)\/10. Let k = o + 82. Let b(g) = g**3 + 3*g**2 - 6*g - 2. Let j be b(-4). What is the greatest common factor of k and j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6*s + 2*s - 2228*s**3 + 2225*s**3 + 2*s**2 + 3 - 6 to c*s + m*s**3 + f*s**2 + r and give r.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = 2*f**2 + f + 2 - 3*f**2 + 0*f. Let u be p(0). Find the second derivative of 2*t**u - 2*t**2 - 2*t**2 + 2*t wrt t.\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-7119)\/(-5085) - (3 + (-68)\/(-45)).\nAnswer: -28\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 27258 and 48498?\nAnswer: 354","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-48)\/(-90)*-2*12\/32?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 935 to the power of 1\/2, to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 b and 2 c when four letters picked without replacement from {r: 5, b: 5, w: 1, c: 4}.\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 698 divided by -6?\nAnswer: -349\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/5, 2.2, -0.3, 1 in ascending order.\nAnswer: -0.3, -1\/5, 1, 2.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = 3*i + 1. Let n be v(1). Suppose -2*t + 7*t + 2*j = 10, 4*t - 36 = n*j. Is t a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 599 is divided by (10\/4 + -3)*(6 + -140).\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sshz when four letters picked without replacement from zssouhu?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*u - 12 = 4*u. Sort 5, u, 6 in descending order.\nAnswer: 6, 5, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 50 + 107. What is the second derivative of 125*n - 25*n**3 - s*n**4 + 5*n**5 - 4*n**5 + 157*n**4 wrt n?\nAnswer: 20*n**3 - 150*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -111.3 + 110.3. Which is the nearest to g? (a) 3 (b) -0.13 (c) -5\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 21*v - 79*v + 23*v + 26*v.\nAnswer: -9*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 4 - -2. Let g(x) = x**3 - 6*x**2 + 7*x + 5. Is g(z) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -6*i**3\/7 + 204*i**2\/7 + 2130*i + 2100.\nAnswer: -6*(i - 70)*(i + 1)*(i + 35)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 249930 is divided by 642.\nAnswer: 192","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -139 + 134. Suppose -4*v - 8 - 8 = 0. What is the third smallest value in 4, v, r?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -q**3 + 6*q**2 + 2*q - 31. Let l be d(4). Suppose -l*m + 3796 + 443 = 0. List the prime factors of m.\nAnswer: 3, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4630577?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-7)\/3 - -3)*3. Suppose u*p = 5*p - 9. Find the second derivative of 2*g - p*g - g - 3*g**4 - 3*g**4 wrt g.\nAnswer: -72*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -36.938 - 0.062. Let v = o - -36.999969. Round v to five decimal places.\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 43.611 * -2.9533.\nAnswer: -128.7963663","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*p - 1938 = -24*p. Suppose -3*v - 5*t = -75, 10*t + 135 = 4*v + 5*t. Calculate the remainder when p is divided by v.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 30.9934 and 0.007?\nAnswer: 30.9864","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 2413030 (base 5) to base 11\nAnswer: 306a6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 378? (a) -8\/17 (b) -0.6 (c) 5 (d) -5 (e) -2.01\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put -16, -20, 1, 5, -1, -40, -2 in decreasing order.\nAnswer: 5, 1, -1, -2, -16, -20, -40","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 46 plus -319819.178?\nAnswer: -319773.178","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -220.9731 - -221. What is p rounded to three decimal places?\nAnswer: 0.027","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 5872*k**3*p - 527*k**3 - k**2*p + 2*k**2 - 397*k*p + k + 6*p + 4232 wrt p?\nAnswer: 5872*k**3 - k**2 - 397*k + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 864 divide 2179552264?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24 = 6*l + 6. Let u(f) = -f + 2. Let r be u(-2). Suppose -q - l = -r*q. Solve -2*n = -3*n + q for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 47\/2 - 23. Is d < 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -84 + -69 + 127 - 19.\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-44)\/(-132)*(-5)\/5)\/(1\/(-187383)) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 = -3*r - 4*x - 5, 4*r - 2*x = 4. Sort r, 3\/5, 0.05, -1\/5.\nAnswer: r, -1\/5, 0.05, 3\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*s + 5*m + 550, 6*m = 2*m + 20. Let b = s - -139. Solve -4*d = 4*i - b, -3*i + 20 = i + 2*d for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1498?\nAnswer: 2, 7, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 512 and 12661568.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-44)\/(a\/((a*(a*a**(-18))\/a)\/a*a)))\/(a**(2\/9)*a\/((a\/(a\/(a*a*a\/(a\/(((a*(a\/(a*a**10))\/a)\/a)\/a)*a))*a)*a)\/a)) assuming a is positive.\nAnswer: a**(-677\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put -17881, 6, 42, -16 in decreasing order.\nAnswer: 42, 6, -16, -17881","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -13029*w**2 - 2528*w - 116317734 with respect to w.\nAnswer: -26058*w - 2528","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 114787803 is divided by 59?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 6731 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.1 + 0.3. Let j = 11 - 11.3. What is the third biggest value in 1\/6, j, m?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 81 - ((-4 - -8 - -8) + (24 - (6 + 30)))?\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y = 8*y - 64. Suppose 2*r - 4*r = 10, 2*l + 4*r + y = 0. Let v(p) = 3*p**2 - 4. List the prime factors of v(l).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = 42*u - 11. Let b be z(5). Let y = 999\/5 - b. Find n, given that -4\/5 + y*n**2 + 2\/5*n - 2\/5*n**3 = 0.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3737 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -c**3 + c**2 - 507*c + 4503. Give n(8).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -2\/3, 0.3, -1, 11.88?\nAnswer: 11.88","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 159 - 295. Let f = -134 - u. Suppose 4*b - f*j + j = 1138, -j - 2 = 0. List the prime factors of b.\nAnswer: 2, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = 36*v**2 + 2*v**3 - v**3 + 5*v + 0*v**3 - 45*v**2 - 13. Let c be 9\/(2*14\/28). What is p(c)?\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is six fifths of a litre in millilitres?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 d when two letters picked without replacement from {o: 3, d: 7, k: 9}?\nAnswer: 7\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -v**3 + 26*v**2 - 59*v + 19. Determine c(21).\nAnswer: 985","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -31 + 1 - (20 - 17 - 21)?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2533014 = 31*g + 11833014. Round g to the nearest 1000000.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*f = -62 + 86. Suppose -4*x = 12, -o - f*x - 3090090 = -10081. What is o rounded to the nearest 1000000?\nAnswer: -3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 - -1.304?\nAnswer: -5.696","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -h**3 - 13*h**2 + 47*h - 2. Calculate v(3).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1 (b) -1\/3 (c) -0.5 (d) 2\/5 (e) -3\/199 (f) 1\/3 (g) 37381\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -25, -5, 35, 101, 199, 335, 515?\n\"Answer: f**3 + 4*f**2 + f - 31","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 81801346409 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 143, 1\/6, -49?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.2 + 1.7. Let k = f + -1. What is k rounded to 0 decimal places?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vkk when three letters picked without replacement from {k: 7, v: 7}.\nAnswer: 7\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -h**3 + 117*h**2 + 687*h + 5789. What is j(123)?\nAnswer: -484","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = 6*y**2 - 5*y + 3. Suppose -2*t + 0*t + 393 = 3*v, -2*v = -4*t + 810. Let b = t + -192. Calculate the remainder when f(3) is divided by b.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9406 is divided by 24?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = 20*t**3 - t**2 - 2. What is the units digit of y(2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -26178*214.\nAnswer: -5602092","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -700 = -2*s - 4*n, 0 = 5*s - 130*n + 128*n - 1786. Calculate the lowest common multiple of s and 178.\nAnswer: 356","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*b - 29 + 29)*((-1 + 2 + 0)*(4*b - b - b) - 3*b - b + 7*b + (-2 - 1 + 2)*(-b - 4*b + 3*b) + 2*b - 4*b + 3*b)*(0 + 0 - 1)*(7 - 3 - 1).\nAnswer: -96*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -260 or -259?\nAnswer: -260","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 32 + -13d305?\nAnswer: -13d2b3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.7731 - -0.0669. Let b = -1.84 + u. What is the third biggest value in 4, b, -12?\nAnswer: -12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2379 - -2379. Let z = -21 + 23. Which is the closest to z? (a) -6 (b) x (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 11*c**3 - 474*c**3 + 834*c**2 - 47*c**3 wrt c?\nAnswer: -3060","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n\/(n\/(n*n\/((n\/(n\/(n*n*n**(-9)))*n)\/n))*n)*n**(-24))\/((n*n\/(n*n**29))\/((n*n**(3\/16)*n)\/n)) assuming n is positive.\nAnswer: n**(211\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p - 4*n = 6, -2*p - 2*n + 3*n - 31 = 0. Let k = -2818 - -2799. Let v = p - k. Solve -d - 25 = -v*d for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -6 + 12. Suppose 0 = 14*v - 10*v - 136. Suppose -j*d + v = -3*d + l, -5 = -5*l. List the prime factors of d.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4*-0.0571.\nAnswer: -0.2284","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mlrd when four letters picked without replacement from mmmmrkmdl?\nAnswer: 5\/3024","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*x + 4*f = 20, 8 = 4*x + f + 3 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (2\/(-6))\/((-32)\/10656). Let r = 140 - a. Suppose 31*j - 32 = r*j. Calculate the remainder when j is divided by 13.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1.27 + -1.07. Let i(l) = l + 7. Suppose 3*f + 16 + 11 = 0. Let v be i(f). Which is the smallest value? (a) 5 (b) v (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -48*i**2. Let z(l) = -2*l**2. Let u(x) = g(x) - 36*z(x). Let f(m) = -10*m**2 - 2*m. Calculate f(u(t)).\nAnswer: -5760*t**4 - 48*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-141)\/(5\/10*-2). Let d be h + 3*5\/(-15). Suppose -5*q + 5*p + d = 0, -q + 116 = 4*q + 3*p. Is q a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19*x + 12 + 330 = 38 for x.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 39 and 0.06?\nAnswer: 2.34","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 7, o: 6}. What is prob of sequence qq?\nAnswer: 7\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -35\/65504 and 95\/9648.\nAnswer: 39498912","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve b + 2 = -k, 2*b + k + 15 = 9 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:57 PM and 2:14 AM?\nAnswer: 197","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 847, 1506, 2165, 2824, 3483, 4142?\nAnswer: 4801","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 59*s - 60*s + 4. Is 5\/(-5) + 22 - s a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = i. Suppose -9*w - 3*a - 3 = -12*w, 9 = 3*w - 5*a. Let h(q) = -11*q**2 + 2*q. Determine w*y(o) + h(o).\nAnswer: -11*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1418936?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*p**3 + 355*p**2 - 360*p = 0 for p.\nAnswer: -72, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 27638 to the nearest integer?\nAnswer: 166","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -8*u + 5. Let i(d) be the second derivative of -2*d**3 + 2*d - 370. What is x(i(w))?\nAnswer: 96*w + 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -j + 8. Let r be v(6). Suppose 0 = 5*o - 18 - 17. Let p(y) = o*y**2 - 7*y**2 + r*y**2. Let b(u) = 46*u. Calculate p(b(q)).\nAnswer: 4232*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -24 - -12. Let k = x - -13. Let z(t) = 27*t - 268. Let g be z(10). Which is the biggest value? (a) k (b) g (c) 0.02 (d) 2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -v**3 - 8*v. Let d(z) = -3*z. What is -8*d(y) + 3*x(y)?\nAnswer: -3*y**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 53\/5 of a century?\nAnswer: 106","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-five quarters of a millennium in decades?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -j = -4*b - 9, 4*j - 3*b = 2*b + 25 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = l**2 - 5*l + 9. Let f be a(6). Let x = 21 - f. What is the smallest common multiple of 12 and x?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*w + 12*w - 38*w - 12*w + 2*w**2.\nAnswer: 2*w**2 - 46*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide -168 by -56.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 21664?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 690 minutes before 4:57 AM?\nAnswer: 5:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ssa when three letters picked without replacement from {w: 8, a: 4, s: 5}.\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 30 and 427665.\nAnswer: 855330","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 664003982?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -81 - -119. Is 8 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/4 - -2 - 3?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4? (a) 1\/2 (b) -0.4 (c) -8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 3, k: 15, u: 2}. Give prob of picking 1 u and 2 k.\nAnswer: 7\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r*r**(-1\/3))**(-2\/7)*(r**0\/r)**(-31))**7 assuming r is positive.\nAnswer: r**(647\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = r**2 - 7*r - 9. Let i(w) = -w**2 + 6*w + 8. Let a(g) = 7*i(g) + 6*j(g). Let f(z) = 1. Calculate -a(l) + 2*f(l).\nAnswer: l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 219902 to the nearest integer?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 - 24 = -i. Let q(d) = d**3 + 8*d**2 + 9*d + 1. Let m be q(-7). Let n = m + i. What are the prime factors of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2988 and 504?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 23\/20592 and 107\/22880?\nAnswer: 205920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -i*v*z**2 - i*z**3 - 141*i*z - 10*v**2*z**3 + 7*v*z**3 + z**3 wrt v?\nAnswer: -i*z**2 - 20*v*z**3 + 7*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/9? (a) 107 (b) 2 (c) -0.1 (d) -1\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1, -14, -65, -158, -299?\nAnswer: -494","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 102684582 and 1946?\nAnswer: 1946","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 702 minutes after 1:24 AM?\nAnswer: 1:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 378992 (b) 4 (c) -4 (d) -3 (e) 0.3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 675.4206 kilometers?\nAnswer: 675420600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7885 divided by 95.\nAnswer: 83","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -9190*b**4*j - 3*b**4 - b**3*j + b**3 - b**2*j - 3*b*j - 7*b + 198 wrt b.\nAnswer: -220560*b*j - 72*b - 6*j + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24 - 39 = -x - 2*m, -5*x - 4*m = -339. What is the units digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 31, 1.7, -2\/3, 0.06 in ascending order.\nAnswer: -2\/3, 0.06, 1.7, 31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -6*a**3 + 2*a**2 + 2*a - 2. Let r be (0 + 3)\/(12\/(-8)). List the prime factors of l(r).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 533?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 2417558530 to the power of 1\/3, to the nearest integer?\nAnswer: 1342","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y = 2*d - 68, -y = 5*d - 0*y - 148. Calculate the highest common factor of d and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 - -2 - (1 + -4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 68245 to the nearest integer?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1238.6 and 153.\nAnswer: 189505.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 50, -1, -3, 767, 23, 3, 1 in descending order.\nAnswer: 767, 50, 23, 3, 1, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1.72 * -2494822.\nAnswer: -4291093.84","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 202730886303 - -5?\nAnswer: 202730886308","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -561368, -561370, -561372?\n\"Answer: -2*i - 561366","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -39692, -76570, -113448?\nAnswer: -150326","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 333 and 10260.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sum 3 and 0.32207.\nAnswer: 3.32207","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 1126, 1122, 1112, 1096, 1074, 1046?\n\"Answer: -3*w**2 + 5*w + 1124","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -75\/8 > -2034?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(4800)*-2*3*1)**2 + ((-1*sqrt(336))\/sqrt(7) - 2*sqrt(5808))**2*5.\nAnswer: 299760","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = 12071*v - 12050. Let d be o(1). Let q be -140*(22\/(-8) + 2). Calculate the highest common factor of q and d.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = 1782*n**2 + 9*n + 13. Let i be d(-2). Let h = i - 1076. Is h prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*q - 52 = -2*u, -46*u + 60*u = 2*q + q + 15*u - 22 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of -3 + 41 + (-6)\/2?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 40759417 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*i**5 + 16*i**4 - 38*i**3 + 20*i**2.\nAnswer: 2*i**2*(i - 1)**2*(i + 10)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 6384f - 0?\nAnswer: 6384f","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -413*u - 24 = -419*u for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a = 6, -2*n - 5*a = -a - 14. Let c = 5 + n. Suppose z - c = -1. What is the units digit of z?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2880\/1152)\/(45\/(-108))?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/3? (a) 3 (b) -27 (c) -0.7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 412 - 412. Let j(n) = -165*n**3 + n - 1. Let a be j(1). Let z be 44\/a*(-3)\/(-2). What is the closest to z in -5, -2, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00041376356 rounded to six decimal places?\nAnswer: -0.000414","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r = 8*r + 22*r - 363. Which is smaller: r or 617?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -2 + 21111?\nAnswer: 21103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -6*p - 1. Let m(x) = -x. Let r(b) = -b + 1. Let d be r(2). Calculate d*l(w) + 5*m(w).\nAnswer: w + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 m and 2 o when four letters picked without replacement from {q: 1, r: 1, o: 3, m: 10, l: 4}.\nAnswer: 45\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2127 - 2125. Solve f*j - 55 = -45 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1951?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express -2339 + 1117 - 11669*n**2 + 1222 as q*n + u + c*n**2 and give c.\nAnswer: -11669","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (4\/(-1))\/((-2)\/103). Let t(g) = g + 206 - s. Let b(z) be the third derivative of -7*z**4\/6 - 24*z**2. Give t(b(w)).\nAnswer: -28*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = 394*m - 31183. Give u(79).\nAnswer: -57","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4102543 (base 6) to base 16.\nAnswer: -2f9df","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 10 + 2)*(1 + 0 + 1)*(322 + k**3 - 185 - 207).\nAnswer: -20*k**3 + 1400","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 43\/24 - (-25)\/(-15).\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11010100011100011100 (base 2) in base 13?\nAnswer: -2460c4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -8 - 1\/(2\/(-24)*3)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 62820603 to the power of 1\/7, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -51*a - 16*d + 26*d + 811 = 11*d, 4*d - 44 = -4*a for a.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1421 divided by 4277.\nAnswer: 203\/611","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -35469232*o**3 + 17734615*o**3 + 17734642*o**3.\nAnswer: 25*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4 + 93*y - 77*y - 29*y - 99*y.\nAnswer: -112*y - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s + 320 = 11*s. Let p be (48\/14)\/(s\/140). Solve -3*i - p = i for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 5198, 5169, 5142, 5117, 5094, 5073, 5054?\nAnswer: 5037","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.16913813 - -0.226162093. Let k = 25.942977057 + x. Let q = 26 - k. What is q rounded to 7 decimal places?\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -515*l - 50*l - 9899 = 85*l - 36549 for l.\nAnswer: 41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.14 - -4.86. Which is the third smallest value? (a) j (b) 3 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 272, 95, -540, -1633?\n\"Answer: -229*i**2 + 510*i - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = 14*y**2. Let n(x) = 6*x. Let t(f) = 7*f. Let i(o) = -6*n(o) + 5*t(o). What is u(i(v))?\nAnswer: 14*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*p**5 + 582*p**4 - 27018*p**3 + 101748*p**2 - 124755*p + 49446 = 0. Calculate p.\nAnswer: 1, 2, 67, 123","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 19 + 33. Let a(r) = -12*r + 42. Let h be a(-3). Calculate the greatest common divisor of l and h.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11 - -100001011011?\nAnswer: 100001011110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 2018855348?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/21 in 0.179, 0.4, -2\/3?\nAnswer: 0.179","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = 949*v**2. Let n(k) = -1496*k**2 + 2990*k**2 - 1496*k**2. Determine n(o(t)).\nAnswer: -1801202*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -3, -0.2, 2\/27, -7, -4?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -14610926 - -394.\nAnswer: -14610532","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 742*q + 275*q + 183*q - 25*q.\nAnswer: 1175*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -88*b - 16. Calculate j(5).\nAnswer: -456","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand -v + 2 - 2 + (-1 - 1 - 2)*(391*v - 1341 + 1341) + (-1 + 3 + 0)*(0*v + 2*v - v) + 3 - 5*v - 3.\nAnswer: -1568*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -q. Let m(w) = -20935*w**2. Calculate i(m(p)).\nAnswer: 20935*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.02 and -93966283.\nAnswer: -93966282.98","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.03, 5, 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1920 and 360?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3349 and 4964?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j + j = 15. Suppose -3*n = -4*i + 4, 5 - 3 = 2*i + j*n. Let x = i + 3. Sort x, -4, 5 in descending order.\nAnswer: 5, x, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is e71d7d - 5?\nAnswer: e71d78","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (13*j + 0*j + 11*j + (-2 + 5 - 1)*(6*j - j - 3*j))*(-j**2 + 2*j + 2*j**2 - 2*j**2)*(1 + 5 - 2).\nAnswer: -112*j**3 + 224*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rwxfrew. What is prob of sequence rrwe?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -3 (b) 6 (c) 32\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 210 + -103021?\nAnswer: -102311","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (o**2 + o**2 + 0*o**2)*(0*o + o + 0*o)*(0 + 3 + 2).\nAnswer: 10*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 26991250 rounded to the nearest 100000?\nAnswer: 27000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 + 5 + 0)*(-c - 1 + 1)*(1 - 1 - 3) + (11*c + 73*c + 2*c)*(-4 + 1 + 5) + 25*c + 3*c - 2*c in the form h*c + o and give h.\nAnswer: 204","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 + 8 - 1)*(2*a + 3*a + 0*a) as u + y*a and give y.\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is y in -7*y**2 + 12*y**2 - 7*y**2 - 220500 - 2100*y - 2*y**2 - y**2 = 0?\nAnswer: -210","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 bigger than 18044\/49807?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 5 (b) 4 (c) -0.3 (d) -123 (e) 11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand g + g - g + (17*g - 2 + 2)*(1 - 2 + 2)*(-2 + 6 - 2).\nAnswer: 35*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -4271 - -6684. Is i a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4237712?\nAnswer: 2, 29, 9133","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 2381 to the power of 1\/2, to the nearest integer?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (2 - -16)*8\/6. Let h(z) = 2*z - 40. Let q be h(g). Suppose 0 = q*k - 11*k + 27. What is the units digit of k?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 21 + -21.7. Are 2\/3 and w unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 354 - 240. Calculate the highest common divisor of 6 and l.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 6758, 13526, 20296, 27068, 33842?\nAnswer: 40618","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((j*j**(-5))\/j)\/((j*j**(-1)*j)\/j))\/((j*j*j**0)\/j**(1\/3)))**(-1) assuming j is positive.\nAnswer: j**(20\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 27 - 27. Suppose -2*u + 6 = -m. Let i(r) = 2*r + 6. Let z be i(-3). Solve z = 4*d + u*p + 11, -3 = -2*d - 5*p + 2 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4087 is divided by 1360.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 + (-80)\/((-32)\/(-4))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 2100021121 (base 3) to base 6\nAnswer: 553324","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -4, -0.5 in increasing order.\nAnswer: -4, -2, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v - 2*q - 8 = 3*q, -4*v = q - 2. Solve -3*k = 2*f + v, -5*k - 6 = 5*f - k for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.3, 209, 1 in descending order.\nAnswer: 209, 1, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -5 + 3. List the prime factors of ((-22)\/6)\/(j\/6).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -80 + 84. Sort i, -0.4, -0.1.\nAnswer: -0.4, -0.1, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = 7*w - 19. Let m(p) = -p**3 + 6*p**2 - 4*p - 3. Let r be m(5). Suppose -y - w = -r*y. What is the units digit of y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (0 - 0) + 0 + -2. Let x = 28 + -24. Let b = -1 - x. What is the nearest to m in b, -2\/3, 0.3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/((2 + 6)\/2 + 6).\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = 617*z + 5548. What is a(-9)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q - 1 = 3*f + 1, 2*q + 2*f = -12. Let y be (3\/2 + q)*2. What is the third biggest value in 4, 0, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 420 and 909020.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 12397 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 113439232 and 73984.\nAnswer: 1928466944","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3 - -3. Let r = -2305 + 2317. Put r, x, -5 in decreasing order.\nAnswer: r, x, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine j, given that 41*j - 4*j**3 + 8*j**2 - 41*j - 4*j**4 = 0.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 72*v - 757 = 15*v - 2467 for v.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: Factor -27*p**4\/4 - 1588653*p**3\/4 + 49282839*p**2\/2 - 509375167*p + 3509439382.\nAnswer: -(p + 58901)*(3*p - 62)**3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is c2a3d20 + 0?\nAnswer: c2a3d20","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 14\/(-4)*(-20)\/28. What is the second biggest value in -0.09, l, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-65)\/35 + 4 - 2 - 1. What is the closest to -0.2 in i, -3, -2, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4 - 1 + 1)*(-2 - 1 + 1)*(-4*h + 0*h + 2*h) as w + m*h and give m.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s + t = -6149, 0 = -2*s - 5*t + 6666 + 5597. Let m be 9\/(27\/s) - (-2 - -3). Suppose m = 2*r - 535. Is r composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -115, -407, -875, -1519, -2339, -3335, -4507?\nAnswer: -5855","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(2\/13))**14 assuming a is positive.\nAnswer: a**(28\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1*-33958.1653.\nAnswer: 33958.1653","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -515 + 517 = -2*h for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*i - 12*i = 5. Sort i, 25, -3, 2 in descending order.\nAnswer: 25, 2, i, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 165 minutes after 3:49 PM?\nAnswer: 6:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (1 - (-11)\/(-13)) + 11948\/754. Find o such that -2*o**2 - d - 4*o**2 + 0*o**2 + 5*o**2 - 10*o = 0.\nAnswer: -8, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = 79*z**3 + 3. Let l(u) = -156*u**3 - 7. Calculate 4*l(o) + 9*x(o).\nAnswer: 87*o**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -1362047, -1362031, -1362015, -1361999?\n\"Answer: 16*j - 1362063","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000003020783 rounded to seven dps?\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2 + 2)*1\/(-2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3*r**4*w**2 + 13112*r**4*w + 383*r*w**2 + 11*r*w wrt r.\nAnswer: 36*r**2*w**2 + 157344*r**2*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 12 (base 8) to base 2\nAnswer: 1010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.19 + 3.81. What is the nearest to 1\/3 in -0.4, w, -2?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine b, given that 789*b**3 - 2410*b**2 + 795*b**2 - 739*b**3 + 480*b = 0.\nAnswer: 0, 3\/10, 32","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -d**3 - 3*d**2 - 4*d. Let i be p(-2). Suppose x + 0*x - i = 0. Suppose 2*t - x*t = -160. What is the highest common factor of 10 and t?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -517, -1004, -1465, -1900?\n\"Answer: 13*f**2 - 526*f - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 17720453 to the power of 1\/9, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j = -4*o - o - 13, 4*j = -3*o + 65. Let y = j - 12. Solve 1\/2*q**3 + 1\/2*q + 0 - q**y = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:48 AM and 5:46 PM?\nAnswer: 538","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -131969, -263939, -395909, -527879, -659849, -791819?\n\"Answer: -131970*u + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (468\/585)\/(6\/(-75)).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (2\/13)\/(-1) - (-216)\/52. Let d = 73 + -27. Let b = d + -44. Sort 17, b, -3, l.\nAnswer: -3, b, l, 17","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-14*z**2 - 11*z**2 - 2*z**2)*(-5 + 2 + 2 + (-4 + 3 - 1)*(-2 + 5 - 4) + (-7 + 1 + 3)*(-2 + 2 - 5)*(-3 - 1 + 3)).\nAnswer: 378*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m, 1 y, and 1 h when three letters picked without replacement from hvavvmvaccmcvmvya.\nAnswer: 3\/680","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a, 1 z, and 1 t when three letters picked without replacement from ztrtgao?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 11 (b) -747 (c) -6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 110\/25 + 6\/10. Suppose 5*g + 5*h = q, 5*g = 3*g + 5*h + 9. Suppose 4*j = -g*r + 236, -4*j = -j + 4*r - 187. What is the units digit of j?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 6651347, 6651344, 6651341, 6651338, 6651335?\nAnswer: 6651332","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -228 - -107. Let j = w - -123. Which is the second smallest value? (a) j (b) 1 (c) -35\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 24151 (base 8) to base 16.\nAnswer: 2869","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -69\/10268 and 21\/41525.\nAnswer: 2823700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*f - 38 - 62. Let k be ((-16)\/10)\/(8\/f). Suppose k*m = 17 - 1. Is 4 equal to m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = b**3 - 17*b**2 - 17*b - 6. Suppose 0 = -15*z + 220 + 50. Let s be g(z). Solve -s + 9 = 3*j for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = 50*j**2 + 53*j - 69. List the prime factors of r(12).\nAnswer: 3, 863","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y - 4*u - 10 = 3, 3*u + 4 = 5*y. Let a(q) = -5*q**3 - 2*q**2 + 1. Let r be a(y). Let s be 2999\/4 + 1\/r. Round s to the nearest 100.\nAnswer: 800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f - 5*m = -914 + 4990, -5*m - 5090 = -5*f. Suppose 0 = 2*j + j - f. What is the hundreds digit of j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2046)\/(-310))\/(3\/15).\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 47096179 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -2 (b) -4 (c) 0.886 (d) -15 (e) 1\/14\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -t - 9796 + 4897 + 4899.\nAnswer: -t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -4.7 - -4.64. What is the third smallest value in 1, -0.2, x?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 162 divided by 27.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q = -4*k - 25, 2*k - 2*q + 5 = 15. Does 2\/33 = k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -133149 + 133149. Factor 0 - 6\/11*f**3 - 2\/11*f**4 + 8\/11*f**2 + k*f.\nAnswer: -2*f**2*(f - 1)*(f + 4)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6*p + 0*p**2 + 7*p + 2*p**2 + 7*p to the form r*p**2 + x + b*p and give r.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 735 is divided by 378?\nAnswer: 357","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 17865602 a multiple of 43?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2 + 4. Suppose -s*q + 5*q = -2. Solve 3*m = -q*n + 1, 5*n + 0*n = -20 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 - 4 + 2*n**5 + 2*n**3 + 3*n**4 - 7*n**4 = 0. Calculate n.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-14)\/((-14)\/(-3)) - -6\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 96 = -17*v - 23 for v.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((m**1\/m*m)\/m)**(-1\/4)*(m\/(m\/(m*(m*m*m**(2\/11)*m)\/m)))\/((m\/(m**(-3)*m))\/m))**(-6) assuming m is positive.\nAnswer: m**(-78\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = 8*q**2 + 2*q. Let u(x) = 17*x**2 + 5*x. Let m(i) = -13*g(i) + 6*u(i). Let c(r) = 2*r**2 - 3*r. Let s(n) = -6*c(n) - 5*m(n). Factor s(f).\nAnswer: -2*f*(f + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 37*((-4)\/(-2) - 3). Let z = k - -41. Suppose 74400 = -z*i + i. Round i to the nearest one thousand.\nAnswer: -25000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*r + 307*r + 194*r - 3024 for r.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 115 or 159?\nAnswer: 115","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2 + 2 + 84*m + 58*m**4 - 5*m wrt m.\nAnswer: 696*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 34\/(-323) + (-5)\/(190\/(-384)). Suppose -281 = n*o - 311. Solve -h - 2*t = -o*h, 5*t - 5 = 0 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4\/(-18))\/((-3)\/(-9)).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (10 - 4) + 1 - (-39 - -31).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -n**3*q**3 + 21475*n**3*q**2 + 18*n*q**2 + 123923*q**3 wrt n.\nAnswer: -6*n*q**3 + 128850*n*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-9 + 5 + 10)*(10*k**2 - 13*k**2 - 8*k**2).\nAnswer: -66*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1906821 or -1907105?\nAnswer: -1906821","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j*j\/(j**(-5\/6)\/j))\/(j*j\/(j**(-1\/7)\/j)))\/((j\/(j\/(j\/((j*j**(-15)*j)\/j))))\/j*j\/((j\/j**(-9))\/j)) assuming j is positive.\nAnswer: j**(-223\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (5\/12)\/((-40)\/(-16)).\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -424*a + 10 - 242*a + 300*a - 5.\nAnswer: -366*a + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 6111 and 612.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 65320 a multiple of 568?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 39*u + 25*u - 2*u**3 - 416*u + 316*u - 43*u**2 + 36*u.\nAnswer: -2*u**3 - 43*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 2\/5 - 39\/(-15). Suppose -4*z - 12 = -i, 2*i - 15 = 5*z + 7*i. Sort n, 4, 6, z in decreasing order.\nAnswer: 6, 4, n, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*f + 3*f - 21 = 0 for f.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Add together 23339 and 230576.\nAnswer: 253915","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z - 2*z = 2*l - 202, 148 = 3*z - 2*l. Calculate the greatest common divisor of z and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (17 + 5*m - 17)*(1 + 1 - 1)*(-4*m + 2 - 2) in the form z*m + i*m**2 + x and give i.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-2 - 4)\/6 + -11. Let u be (12\/(-9))\/((-4)\/r). Let l(a) = a + 6. What is l(u)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f + 14 = -2*f. Suppose 2*v + y + f = 6*y, 0 = -2*v + y + 5. Suppose -g - 38 = -3*g + 4*l, v*l = -g + 49. Is 11 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1607485613 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-13\/2)*w**(2\/35)*w)\/((w**(3\/10)*w)\/w**(-1\/8)) assuming w is positive.\nAnswer: w**(-1923\/280)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (436\/10)\/(4\/10) is divided by 38.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 38*n + 29*n - 220*n + 12862 = 65*n for n.\nAnswer: 59","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 76296 divided by 1122?\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/(3\/(-6)) - 0\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from lczllzocccocozcecoo. Give prob of sequence zzcl.\nAnswer: 7\/5168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23*y - 25*y + 0*j = j - 1, 0 = -130*j + 127*j - 15 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 less than -646176959077.755?\nAnswer: -646176959074.755","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -2 - 1 - 2*h + 13*h. Let o be z(3). Suppose -q - o = -4*q. Is q a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4006137 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2 + -13 - (271 + -272)) + 1 + 62.\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from oxloaalaawaxolx. Give prob of sequence xoxw.\nAnswer: 1\/1820","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in m**2 + 1214 + 833 - 2199.\nAnswer: m**2 - 152","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -34\/461 + 3363\/1844. Solve v*p - 3\/2 + 3\/4*p**2 = 0 for p.\nAnswer: -3, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1654, 3306, 4962, 6622?\nAnswer: 8286","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) be the second derivative of z**4\/12 - z**3\/3 + 2*z**2 - 2*z. Let q be a(3). Let g(d) = -d**3 + 6*d**2 + 9*d + 1. What is the tens digit of g(q)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6)\/(-15)*16\/(-40)*125.\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*l - 61 = 58. Suppose -3*s + l = -31. Suppose -8*m + 225 = -3*m. Calculate the remainder when m is divided by s.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = b**2 + 3*b - 1. Let v be (-2)\/4 - 82\/(-4). Suppose -6*d = -d + v. Let x be n(d). Solve 5*o + 0*t - t - 7 = 0, x*o - 3*t = -3 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 1 + 3)*(-4 + 4 + 2*t) + 19*t - 44 - 17*t + 47 + 0*t - t + 0*t + 5*t - 2*t - 5*t + (-1 + 5 - 2)*(-3*t - 4*t + 5*t) - t + t + t.\nAnswer: 4*t + 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 144066117?\nAnswer: 3, 13, 1913, 1931","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 0.1 (b) -1\/3 (c) 3\/52 (d) 7\/3 (e) -5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 5297 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:20 AM and 12:53 PM?\nAnswer: 573","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = 16*b. Let q(p) = -32*p - 1977. Determine i(q(f)).\nAnswer: -512*f - 31632","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 104645 is divided by 100806?\nAnswer: 3839","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(512) - (sqrt(512) - (-4 + sqrt(512) + -4 + sqrt(512) + sqrt(512))**2).\nAnswer: -768*sqrt(2) + 4672","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(220)*-5)\/(sqrt(180)*5).\nAnswer: -sqrt(11)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -25 - -20. Let h be ((-2)\/(-9))\/(v\/(-300)). Let p = h - 434\/33. What is the biggest value in p, 0.03, 1\/9?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = 1157*s + 12745. What is o(-11)?\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-21 - -15)\/(3\/(-2)). Solve -3*i + r*i - 3*l = 15, 0 = -2*i + 4*l + 22 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 707*y = 701*y. Solve 0 = -y*r - 3*r - 15 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*c**3 + 180*c**2 + 7505*c + 7320.\nAnswer: -5*(c - 61)*(c + 1)*(c + 24)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (45 - (-135)\/(-9))*(-5)\/(-2). Solve -74*z + 1 = -n*z for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 7 - -2. Suppose 0 = 8*t - 5*t + m. Let g be (-3)\/(-9) - 11\/t. Solve -2*v + g = -0 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((k\/k**(-2))\/k*k)**(11\/2))**(-1\/14))**(2\/73))**(-1\/18) assuming k is positive.\nAnswer: k**(11\/6132)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5 + 6*p**2 - 1936*p - 1935*p + 3870*p + (1 - 1 - 2*p)*(p + 2 - 2) - 3*p - 2*p**2 + 3*p.\nAnswer: 2*p**2 - p + 5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 695624550.\nAnswer: 2, 3, 5, 4637497","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 2\/7, -2.8, 0.01, 0.3 in decreasing order.\nAnswer: 2, 0.3, 2\/7, 0.01, -2.8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*c**5 - 27*c**4 + 90*c**3 - 138*c**2 + 99*c - 27.\nAnswer: 3*(c - 3)**2*(c - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 176 is divided by 21.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.347 - 0.4266. Let a = 0.08 + z. What is a rounded to three dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -14.64614156 rounded to 0 dps?\nAnswer: -15","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.5 - 0.3. Let i be ((-6)\/(-7))\/(7\/(-245*1)). Let j be (-13)\/(-39) - 14\/i. What is the closest to l in 2\/3, 4, j?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12636 is divided by 73?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 3, -3, 6, 5, 1075693 in descending order.\nAnswer: 1075693, 6, 5, 3, 2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -542 - -3798\/7. Which is the nearest to -5? (a) p (b) -4 (c) -2\/15 (d) -27\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10 - -24 - 10 - 7\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2239*c + 917*c - 6*c + 263*c + 636 - 60*c wrt c?\nAnswer: 3353","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 241107765?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 76 + -77. Let h = -1\/2 + 0. What is the nearest to 2\/7 in h, -3\/8, l?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 269140 (b) -4 (c) 1\/109\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((f**(-2\/9))**(-20))**(10\/19))**(-1\/30) assuming f is positive.\nAnswer: f**(-40\/513)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 16\/6*(-15)\/(-4)*(-408)\/340.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -320*n - 41725 = -322*n + q, 5*n = -5*q + 104290. Is n prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) be the first derivative of d**7\/7 - 4*d**3\/3 - 3. Find the third derivative of l(w) wrt w.\nAnswer: 120*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + 1*sqrt(2448)*3)**2.\nAnswer: 22032","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 906782138?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 29638393, 0 in descending order.\nAnswer: 29638393, 5, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(sqrt(1700) + (sqrt(1700) - (sqrt(1700) + 1 + sqrt(1700))))*-3.\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 6\/5 of a decade?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0 - -0.5. Let w = c + -3.5. Let a = -536\/15 - -526\/15. Put 3, w, a in decreasing order.\nAnswer: 3, a, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 851797215 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide 125 by 2.\nAnswer: 125\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 5 and 4965.\nAnswer: 4965","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -3, 1, 5 in ascending order.\nAnswer: -3, -2, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 96207, 96197, 96179, 96159, 96143, 96137, 96147?\nAnswer: 96179","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = j + 2. Let r(i) = 1. Let p(s) = -3*g(s) + 7*r(s). Let d be p(4). Let m(y) = -5*y - 9. What is the tens digit of m(d)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -o. Let a(r) = 8632922*r**2. Determine a(q(w)).\nAnswer: 8632922*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-2)\/10 + (-21)\/(-5). Let u = 2 - -2. Find the third derivative of -4*o**u - 2*o**2 - o**2 - 3*o**d wrt o.\nAnswer: -168*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 125800.902027353 - 0.018027353. Let l = r - 125833.8840044. Let o = l + 33. What is o rounded to six decimal places?\nAnswer: -0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -3*x + 2. Let d be s(4). Let i be 10*((-24)\/d + -2). Let z be 64\/5*(-4 + 39\/6). What is the highest common divisor of i and z?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 41700000 rounded to the nearest 1000000?\nAnswer: 42000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -2 + (-2 - -4) + -1. Let y(l) be the third derivative of 50*l**6 - 47*l**2. Let a be y(h). What is a rounded to the nearest one thousand?\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.22 - -8.22. What is the second biggest value in -2\/7, m, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.56, -126, 0.5, -0.2, 83?\nAnswer: 0.56","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(sqrt(17) + -3*sqrt(34)\/sqrt(2) + (5 + sqrt(153))**2) + 1.\nAnswer: -533 - 84*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t and 2 s when three letters picked without replacement from qtstltstttttsslsttt.\nAnswer: 110\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -k - 2. Suppose 5*y - 11 = 4. Suppose 2*p - 5*p = y*f + 9, 4*f - p - 3 = 0. What is w(f)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 3675.994 and 2.482554.\nAnswer: 3678.476554","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 583 is divided by 15.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 128 minutes before 11:33 PM?\nAnswer: 9:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 4, -0.08, -9\/13 in ascending order.\nAnswer: -9\/13, -0.08, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find q, given that 5*q**4 - 410*q**3 - 13080*q**2 + 1177760*q + 2404480 = 0.\nAnswer: -52, -2, 68","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + -4 + -5 + -4*sqrt(304) + 5)**2.\nAnswer: 288*sqrt(19) + 4945","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -108 + p**2 - 2550*p + 383 - 106 - 62 - 109.\nAnswer: p**2 - 2550*p - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = t**3 - 12*t**2 + 12*t + 13. Let j be d(11). Suppose -4*r = j - 244. What is the greatest common factor of 11 and r?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 49255 to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 43 - 50.95. Let r = k - -8. Let f = r + -0.71. What is f rounded to 1 dp?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-4752)\/720)\/((-9)\/(-10)))\/((-4)\/6).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 4199190 to the power of 1\/2, to the nearest integer?\nAnswer: 2049","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 523, -0.3, -4\/1317 in ascending order.\nAnswer: -0.3, -4\/1317, 523","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*c - u + 71 - 191, 5*c - 4*u = 105. Let d be ((-70)\/c)\/(2\/(-5)). Let f = d - -11. Calculate the remainder when 52 is divided by f.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 887 - 878. Let s(h) be the first derivative of b + 1\/2*h**6 - h**3 - 3\/4*h**4 + 0*h + 3\/5*h**5 + 0*h**2. Factor s(k).\nAnswer: 3*k**2*(k - 1)*(k + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z + 0*z = -48. Let r = z + -2. Calculate the lowest common multiple of r and 10.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 14 - 12.7. Let v = s - 1.6. Which is the third smallest value? (a) 0.2 (b) 0.5 (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1\/9, -4, 0.5, -7?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 12074 or 24147\/2?\nAnswer: 24147\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -1\/5, 1, 8, 52, 3\/14 in descending order.\nAnswer: 52, 8, 1, 3\/14, 0, -1\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 4159 - 4161.34. What is the smallest value in 8, m, 0.5?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -2*s. Let n(u) be the first derivative of -2*u**2 + 8. Suppose 365 = 16*b + 55*b - 345. Determine b*p(k) - 4*n(k).\nAnswer: -4*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -45, -43, -37, -27, -13, 5?\n\"Answer: 2*r**2 - 4*r - 43","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -5.563439521 to 3 decimal places.\nAnswer: -5.563","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide (14\/(-5))\/((-12)\/30)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) be the third derivative of -7*m**4\/24 + 40*m**2 - 4. Let q(a) = 24*a. Determine g(q(s)).\nAnswer: -168*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -83.3 + 58.4. Let d = -14.4 - c. Round d to the nearest 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 124 + -20 - 19 - (-2 - -15).\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2286222?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 10064 * -0.4\nAnswer: -4025.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -25 - -19. Let m = t + 15. Calculate the greatest common divisor of 45 and m.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 570632102 to the power of 1\/3, to the nearest integer?\nAnswer: 829","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-6)\/12)\/(-1*1\/21446) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 113 * -0.0677\nAnswer: -7.6501","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 1\/5 (b) -622 (c) 2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p - 8 = 5*h - 5, -p + 5 = -3*h. Let q be 190\/388 - 2\/4. Which is smaller: q or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21 = 4*a + 1. What is the second derivative of 6*g**5 + 3*g**a + 37*g - 30*g wrt g?\nAnswer: 180*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -72, -196, -408, -714, -1120?\nAnswer: -1632","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -239270, -958026, -2155952, -3833048, -5989314, -8624750, -11739356?\n\"Answer: -239585*i**2 - i + 316","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3 + (sqrt(275) + (sqrt(275) - (sqrt(275) - sqrt(275)*2*3)) - (sqrt(275) + 1 + 5))**2)*1 + 5)*-4.\nAnswer: -39776 + 1440*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2100 - 2100 + 50*b)*(14 - 26 - 14).\nAnswer: -1300*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 29\/11197213 and 119\/10607886?\nAnswer: 201549834","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 75\/525 - 26\/(-14). Suppose v - 5*n = 25, 0 = 3*n - 6*n. Solve 0 = 3*q + 3*b + 2*b - v, 0 = -l*q + b - 5 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.9753 - -11.0247. Which is the nearest to 0.1? (a) -22 (b) z (c) -3 (d) -0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1110 (base 2) to base 14.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -97575*i**4 - 19*i**2 - 12532361*i wrt i.\nAnswer: -1170900*i**2 - 38","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve w + 15 = v, -7*w - 335 + 395 = 4*v for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1708310 and 337770?\nAnswer: 1390","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 5306410 - 3?\nAnswer: 5306404","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 12? (a) 2\/5 (b) 2 (c) 5 (d) -25\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*s + 76 - 76)*(-1 - s + 1)*(-1 - 2 + 0*s - 2*s) + 0*s**3 + 6*s**3 + 15*s**3.\nAnswer: 27*s**3 + 9*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 178\/3 + 12\/18. Suppose 0*i - m = -5*i + 5*k, -3*i + k = -42. What is the units digit of 0 + (i - (5 - 2))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 13207.24 or 0?\nAnswer: 13207.24","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 151 + -242. Let o = i - -91.1. Sort -2\/5, o, 6 in decreasing order.\nAnswer: 6, o, -2\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 a when two letters picked without replacement from {a: 2, o: 3, k: 1, q: 2, j: 3, s: 1}.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -262*2233\nAnswer: -585046","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*sqrt(20))**2 - (sqrt(5) - (sqrt(5) + (sqrt(125) + 2 - sqrt(5))**2)).\nAnswer: 16*sqrt(5) + 804","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n - 4 - 4 = 0. Let l = n - 11. Does 21 divide 3*-1*(-14 + l)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 41669742?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = r**2 - 7*r + 27. Let c be f(4). Let y be (-4)\/3*c\/(-5). Solve x = -3*x - b + 11, -y*x + 17 = 3*b for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -28*g - 122. Calculate w(-6).\nAnswer: 46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 17*-13*16\/208?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 31171 and 25506784.\nAnswer: 4453","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5522?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Work out -4786 + 42.2948.\nAnswer: -4743.7052","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand -10*s**2 + 10*s**2 + 5*s**3 + 6*s**3 - 3*s**3 - 2*s**3 + (56*s**2 - 78*s**2 - 198*s**2)*(2*s + 3*s - s).\nAnswer: -874*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Add together -508083246 and 0.3988.\nAnswer: -508083245.6012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -73\/182 and 109\/234?\nAnswer: 1638","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1245 is divided by 42?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6)\/((288\/222)\/(-8))?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 199837 is divided by 551.\nAnswer: 375","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (20*n + 287 - 287)*(1 - 2*n - 1).\nAnswer: -40*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -3*t**2 + 5. Let c(i) = 4*i**2 - 5*i + 6. Let j(y) = -3*y**2 + 4*y - 5. Let l(r) = 4*c(r) + 5*j(r). Determine b(k) + 5*l(k).\nAnswer: 2*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*l + 165 = 45. Calculate the remainder when 118 is divided by l.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3123.\nAnswer: 3, 347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 573 minutes before 1:48 PM?\nAnswer: 4:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 0.8 * 0.0221\nAnswer: 0.01768","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j - 16880 = 2*i - 2980, i + j = -6950. Round i to the nearest 100.\nAnswer: -7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2105 is divided by 68?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 3 - (0 + 3 + 11). Is -9 bigger than x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 451*i - 4914*i - 1904*i + 772*i.\nAnswer: -5595*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 34*t**2 + 2*t**6 - 16*t**2 + t**3 + 22 + t**3 - 20 wrt t.\nAnswer: 240*t**3 + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1801 + 2379. Is y a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m + 65 = -3*t, 0 = -5*m - t + 4*t + 158. Suppose 4*n - m = -0*j - 5*j, -2*n + 8 = 0. Let o(f) = -f + 4. Calculate o(j).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 609 minutes before 7:57 AM?\nAnswer: 9:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find b, given that 2*b**4\/3 - 217740*b**3 + 53241590666*b**2\/3 + 5196113828040*b + 1138966291823432\/3 = 0.\nAnswer: -146, 163451","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -6139986*v**3 + 217*v**2 + 127*v - 32?\nAnswer: -36839916","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1495207117 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 3 + b**4)*(-2 + 2*b + 2) + 0*b**5 - 2*b**5 + 3*b**5 + b**4 - b**4 - 3*b**5 + (-b**2 + 2*b**5 + b**2)*(1 + 3 - 3).\nAnswer: 2*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*v - 8*v - 5*i + 2690 = 0, -v + 2*i = -1345. List the prime factors of v.\nAnswer: 5, 269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*y + 2*d + 7342, 4*y - 2271 = -5*d + 3629. Is 6 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f - 528 = -r, 9*f = 8*f + 5*r + 264. Calculate the lowest common multiple of f and 48.\nAnswer: 528","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -9*((-48)\/9 + 2). Let p = b - 2. Suppose 5*j - 21 = -r, -3*j + 11 + 2 = r. What is the highest common factor of p and j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -35 + 61. Suppose -4*i + 38 + h = 0. Solve 4*y + i = -2*w, -2*y - 13 = y + w for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -4*t + 5*q + 3, 3*q = 3*t + 3. Suppose -27*f = -3*f - 72. Put -1, f, t in decreasing order.\nAnswer: f, -1, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = r**2 - 13*r - 12. Let c be n(14). Let u be c - (1*-12)\/(-4). Let l(k) = k**2. Let v(q) = 4*q**2. Determine u*v(x) + 3*l(x).\nAnswer: -x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-8)\/(-20))\/((-2)\/(-880)). What is the highest common factor of 22 and f?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(180) + 0)*-1.\nAnswer: -6*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 178271.\nAnswer: 47, 3793","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 4, d: 4, w: 5, v: 1, r: 2}. Give prob of picking 3 d and 1 v.\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o + 9 = 2*f, 26 = -5*o + 5*f - 9. What is the remainder when -15*(-2 - 4\/o) is divided by 12?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-4)\/(-24) + 406\/84. Let c(v) = v**3 - 5*v**2 - 3. What is c(o)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(84) + 1*sqrt(84)*-4 - sqrt(84)*-2*2)*5)\/(sqrt(168)\/(sqrt(24)\/(-2*sqrt(4)))).\nAnswer: -5*sqrt(3)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -73861 + 72297 = 34*o for o.\nAnswer: -46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -201.7 + 199.7. Which is the fourth smallest value? (a) -29 (b) 0.5 (c) 0.6 (d) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.84 - 0.54. What is the fourth smallest value in -4, -1\/3, r, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -t**2 + 49*t + 810. Let f be h(-13). Put -786, -2, 1\/2, f in descending order.\nAnswer: f, 1\/2, -2, -786","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -121*d**5 + 1991*d**4 + 39349*d**3 + 133297*d**2 + 64092*d + 8352 = 0 for d.\nAnswer: -8, -4, -3\/11, 29","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 31? (a) -0.08 (b) -36 (c) -3\/5 (d) 0.173\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 5 divided by 37\nAnswer: 5\/37","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 23\/60 and -13\/845973?\nAnswer: 16919460","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.14 + 2.16. Let s = k + -0.3. Let z = 5 - s. What is the smallest value in -3, z, 1?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h + 0 = 4. Let a be 4\/(-18)*(7 - 4)*1. What is the closest to a in h, 2, 0.05?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 22 and 11?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c = 12 + 39. Suppose c + 19 = 2*f. Let v be (1 - -2 - 37)\/(-2). Which is greater: v or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i = -7*i + 348. Let j = -58 + i. List the prime factors of j.\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 11.3 to 1 dp.\nAnswer: 11.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-431627)\/(-788))\/(-313)*328\/7?\nAnswer: -82","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 3253233.2+54\nAnswer: 3253287.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1941435.\nAnswer: 3, 5, 73, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z - s - 25 = 0, 5*z + 7*s = 2*s. Suppose z*f - 1114 = -3*y - 80, 6 = -3*y. What are the prime factors of f?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*y + 2602609 + 8163391. Round y to the nearest one hundred thousand.\nAnswer: -1500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*i + i + 35 = -5*h, -4*h = 3*i + 1 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -12 - 2111112202?\nAnswer: -2111112221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-2\/3)\/(h*h*h**(-2\/15))*(h**(-3\/2))**(-1\/8))**(-1\/36) assuming h is positive.\nAnswer: h**(563\/8640)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 44 and 33242.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1.67821 - 1.6692069. Let f = m - 0.009. Round f to 6 decimal places.\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -1937001, -3874004, -5811013, -7748028, -9685049, -11622076, -13559109?\n\"Answer: -3*i**2 - 1936994*i - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -24 + 21.9. Let p = 0.9 - h. Let x = -0.4 + 0.3. What is the second smallest value in x, p, -4\/9?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.07715219 - -94\nAnswer: 93.92284781","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = 2*d - 2. Let i be g(7). Let l = i + 27. Calculate the remainder when l is divided by 20.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -12 - -15. Suppose 3 = 2*q - r. Suppose -q*l - 16 = 5*y - 0*y, -2*y - 19 = -3*l. What is the units digit of l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 10*(-2 + (-21)\/(-6)). Suppose 0 = -i + 5*s + u + 33, i + 5*s - 28 = 0. Is 19 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 - 5)*(-q + 2*q**2 + q)*(q**3 - q**3 - q**3).\nAnswer: 10*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (76\/171*3)\/((-1)\/((-9)\/(-12)))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q - 5*h = 2*q - 309, 295 = q - 2*h. Is q a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -7063\/1110 + 266\/111. Calculate the common denominator of 27\/10 and q.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 70.81388 nanometers to meters.\nAnswer: 0.00000007081388","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f and 1 p when two letters picked without replacement from {f: 2, p: 2, z: 7}?\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1833 + 5443\/3. Calculate the common denominator of h and (-1)\/6 + (-1786)\/(-228).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3 - -7.2859?\nAnswer: 6.9859","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 695 + 1983. Which is smaller: y or 2680?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 5 - (3 + -1 - 3). Let b(n) be the first derivative of 2*n**2 + 3*n + 2. What is the units digit of b(c)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 0.5432148 decades?\nAnswer: 0.005432148","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -30*h**3 + 17*h**3 - 33*h**3 + 8*h**3 - 26*h**3.\nAnswer: -64*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 90 - 2596 = -87*w - 92*w for w.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = 2*f**3 - 19*f**2 + 11*f + 2. Let l(z) = -z**3 + 23*z**2 - 20*z - 35. Let d be l(22). Calculate the remainder when 134 is divided by n(d).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q = 68 + 2. Let w = -13 + q. Let j(y) = -y**3 - 6*y**2 + y + 7. What is the remainder when j(-6) is divided by w?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7, -1, 9507, 2, -2, -5 in decreasing order.\nAnswer: 9507, 2, -1, -2, -5, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 74 = 2*s + 2*n, -3*s = 2*s + 3*n - 185. Calculate the highest common factor of s and 37.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s - 3*v + 11 = -31, -2*v + 58 = 4*s. Does 11 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -6444 + 22812. Does 6 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 23223032 (base 4) in base 7?\nAnswer: 256265","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 0.1 * -1832\nAnswer: -183.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2.3 - 0.3. What is the nearest to 4\/7 in -4, -2\/7, n?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2.48 - 1.82. Let k = l + -0.6600072. What is k rounded to 6 dps?\nAnswer: -0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 48 + -45. Let g(q) = 1 - 7*q + 8*q + h. Determine g(-5).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = 14*d + 13. Let f be j(-5). Let a = f + 34. Calculate the remainder when 43 is divided by a\/4*(-5 + 1).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*w**3 + 3*w**3 + w**3 + (-5 - 2*w**2 + 5)*(2*w - 6*w + 3*w))*(-2 - 2 + 3).\nAnswer: -4*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = 7*j - 6. Let m be ((-4)\/(-6))\/(-2)*-51. Let n(a) = -20*a + 17. Suppose t = 2 + 4. Calculate m*c(f) + t*n(f).\nAnswer: -f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 1045006111 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 104966 and 11842.\nAnswer: 20048506","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.198806 litres in millilitres?\nAnswer: 6198.806","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 2890267, 2890263, 2890259?\n\"Answer: -4*m + 2890271","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = z - 3. Let u be h(4). Suppose n = -0*k - k - u, -4*n - 3 = 3*k. Does 3\/13 = n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 25115323 to the nearest integer?\nAnswer: 293","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 226 is divided by 54?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 853 - 118 = 20*y + y. What is the remainder when y is divided by 28?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p\/((p*p\/(p*p*p*p**(-4)*p*p))\/p))\/(p*p**6*p)*(((p*p*(p\/(p**(-7)*p))\/p)\/p)\/p)\/(p\/p**(-2\/5)))**(-1\/43) assuming p is positive.\nAnswer: p**(12\/215)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*f + 0*f + 3 + 3*f)*(4 + 1 - 6)*(-2*f - 4*f + 4*f) to q*f**2 + n + j*f and give q.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (109 - 1) + -1 + -5 + 5?\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 2*(102\/4)\/3. Suppose -n*d + 10590 = -11*d. Is d composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) be the first derivative of -l**6\/15 - l**3 - l - 2. Let g(j) be the first derivative of q(j). Find the second derivative of g(i) wrt i.\nAnswer: -24*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -1. Let i(d) = 41*d + 12. Let b(t) = -i(t) - 5*j(t). Suppose -3*v = -5*n - 21, n - 3*n + 2*v - 10 = 0. Is 29 a factor of b(n)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -23*o - 3*o - 10530. Let d = -400 - o. Solve -3*x - 3*m + 3 = 0, 4*m + 5 = d*x + 2*m for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 25 and 761302275.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -u**3 - 3*u**2 - u + 2. Let i be m(-3). Solve -4*o - 13 + 3 = -i*r, -4 = o - 2*r for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) be the second derivative of -g**5\/4 + 5*g**4\/12 + 31*g**3\/2 - 2*g + 39. What is the second derivative of q(k) wrt k?\nAnswer: -30*k + 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -186, -298, 172 in decreasing order.\nAnswer: 172, -186, -298","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i - 25 = -2*o - 3, 0 = -o - 3*i + 16. Let r be -12 + 0 + 33 + 4 + 1. What is the highest common factor of o and r?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.9 - -1. Let f = 0.2 - w. Let l = -253\/5 + 50. What is the closest to f in -0.2, l, -2\/7?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**(-1\/4)\/f)**(-15\/4)*f**(-2\/15)*f**6)**(14\/9) assuming f is positive.\nAnswer: f**(17731\/1080)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1 - -10. Let o(h) = h - 6. Let c be o(u). Factor 5*d**3 + 62*d**2 - 39 + 23 - 17*d**2 - 92 - 5*d**4 - d**c.\nAnswer: -(d - 2)**2*(d + 3)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) be the third derivative of -m**6\/120 - m**5\/20 - m**4\/6 - m**3\/6 - 2*m**2. Is w(-6) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h + 10 = 0, 110*b - 13 = 113*b + 2*h. Let l be 27\/102 + (-1 - -1). Which is bigger: l or b?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2530 - -2526. Let s be 2 + -1 + (-7)\/4. What is the second biggest value in 1, s, m, 4\/7?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*x - 156491 = 267742. What is the thousands digit of x?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3248, 3, -4, -2, -453 in increasing order.\nAnswer: -453, -4, -2, 3, 3248","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 32529 and 1116?\nAnswer: 12100788","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v*v*v**(-1\/2))\/(v*v**(5\/2))*v*v*v**2\/v*v*v\/(v**(2\/11)\/v) assuming v is positive.\nAnswer: v**(42\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1 + 6. Let k = f + 1. Let m(d) = d + 7. Let b be m(-3). What is the greatest common factor of b and k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -13765 divided by 7557?\nAnswer: -13765\/7557","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -27 - -32. Solve -d*i = -i - 12 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2.135 + -5.135. Which is the smallest value? (a) z (b) 5\/8 (c) -8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y\/y**(-2\/9))\/y*y*y*y*y*(y\/(y*y\/(y*(y*y\/y**(26\/3))\/y)*y))\/y assuming y is positive.\nAnswer: y**(-49\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -11*z**2 - z - 3*z**3 - 10*z + 4*z**3 + 16. What are the prime factors of c(12)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 48642324?\nAnswer: 2, 3, 4053527","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0.17, 1126143, -2, 0, -5?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 32.4 and 49.\nAnswer: 1587.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d = -3*t - 50 - 7, -4*d - 5*t + 85 = 0. What is the lowest common multiple of 12 and d?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c + 214 = -100. Is c a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-2 + (60\/8 - 5))*-2. Sort 7, -4, -3, 4, r in decreasing order.\nAnswer: 7, 4, r, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) be the third derivative of 53*r**6\/120 + r**5\/30 - r**4\/2 + 4*r**2 - 8. Find the third derivative of h(d) wrt d.\nAnswer: 318","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -x + 1 + 28. Suppose -24*t = -x*t + 15. Suppose 0 = 2*v + t - 7. Let h(i) = 6*i - 1. Determine h(v).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 19565.28 + -19563. Which is the closest to -2\/7? (a) n (b) -1 (c) -1\/6 (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -21464837 - -35004837. Round m to the nearest 100000.\nAnswer: 13500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) be the first derivative of w**3\/3 + w**2\/2 - 397. Let t(r) = 2*r**2 - 9*r + 2. What is t(n) - 4*u(n)?\nAnswer: -2*n**2 - 13*n + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*l - 42 - 6. What is the highest common divisor of 60 and l?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -r**2 + 11*r + 15. Suppose -3*s + 0*s = 24. Let d be 2 + 1 - (s - 0). What is the remainder when 44 is divided by z(d)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1070 is divided by 256?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.4 and -183971246.\nAnswer: -73588498.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 29\/148 and 121\/168.\nAnswer: 6216","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 36ba9b - 4?\nAnswer: 36ba97","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 379499605 to the power of 1\/3, to the nearest integer?\nAnswer: 724","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k and 1 u when two letters picked without replacement from zkzfzfsuz.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -3391764 to the nearest one million.\nAnswer: -3000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -21816\/1427 + 46163146\/2966733. Let r = 4\/297 + q. Solve 0 + 2\/7*z**2 + r*z**3 + 0*z = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 35 + 0 = 7*n for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 269 + -269.00277. Let v = l - -0.003. Round v to four dps.\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3128 and 175720?\nAnswer: 184","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00235329 to 6 dps.\nAnswer: 0.002353","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5 + sqrt(22)\/sqrt(2) + -1 + -5 - ((sqrt(121) - (sqrt(121) + -2*sqrt(121) + sqrt(121)))\/sqrt(11) + sqrt(1331) + 2))*-6)**2.\nAnswer: 10296*sqrt(11) + 54000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -v**2 - 12*v - 8. Let o be t(-8). Let g be (o\/(-15))\/(-1 + 8\/10). Suppose 3*m - 16 = g. Calculate the greatest common divisor of 8 and m.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 35230 is divided by 6?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = h**2 - 7*h + 5. Suppose -i = -2*t, -26*t - 24 = -26*t - 6*i. Calculate o(t).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -i**2 - 11*i - 25. Let j be u(-5). Which is the third biggest value? (a) 0.02 (b) 2 (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 651 + 4122152?\nAnswer: 4123133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-1 + 7)\/1 - 2. Suppose 0 = -4*y - 20 + d. Let q be (y\/(-8))\/(1\/(-3)). Which is the third smallest value? (a) 0.1 (b) 2\/11 (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*-6*4*(3*(sqrt(1573) - (0 + sqrt(1573))) - sqrt(1573) - (sqrt(1573) - (sqrt(1573) - (1*sqrt(1573) + 1)) - sqrt(1573))))**2.\nAnswer: 50688*sqrt(13) + 3626496","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -22104 (base 10) to base 5.\nAnswer: -1201404","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 49 divide 4458?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*j**5 + 40*j**4 + 1235*j**3 - 6610*j**2 + 10740*j - 5400 = 0. What is j?\nAnswer: -15, 1, 2, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.2 - -0.1. Let r = 2.1 + f. Let g = r + -5. What is the second biggest value in g, -2\/5, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 48569 and 68?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 2001483791 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Add together -1023 and -413614905.\nAnswer: -413615928","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (40*j - 27*j**3 - 40*j)*((2 - 5 + 2)*(-2*j + 3*j - 2*j) - 5*j + 4*j + 2*j).\nAnswer: -54*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nnflhlflitlhtntfn. What is prob of picking 1 h and 1 f?\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 54863267.\nAnswer: 17, 37, 87223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = 183*k + 56*k - 233*k. Let g = 8 - 7. Let z(q) = q**2. Let a(p) = 4*p**2. Let c(u) = g*a(u) - 6*z(u). Determine r(c(v)).\nAnswer: -12*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 557 is divided by 49?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + 8 + 7 + -28.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*a - 4*a + 15*a.\nAnswer: 16*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = 10*x - 14*x - 20*x - 10*x. Let p(z) = -z**2. Give p(o(c)).\nAnswer: -1156*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*x + v - 2*v + 29, 2*x - 39 = -3*v. Is x a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 27094303 is divided by 304?\nAnswer: 303","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d and 1 r when two letters picked without replacement from ggcrrgxdxdxgggx.\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Total of 22.9 and -2534.\nAnswer: -2511.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = 4*a**2 + 7 - 3*a**2 + 4 + 9*a. Let o be y(-8). Solve o*f - 2*f = 1 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7554231 to the power of 1\/10, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = x**3 + 2984*x**2 - 882104*x - 274. Calculate w(271).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 8887 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 6374.394t in nanograms?\nAnswer: 6374394000000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = 37*l + 196. Let f(z) = -22*z - 96. Give 3*d(i) + 5*f(i).\nAnswer: i + 108","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 1 + 3*y - 2*y)*(-2*y - 5*y + 3*y) + 2*y**2 + 0*y**2 - 3*y**2.\nAnswer: -5*y**2 - 12*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-1)\/(-2) + (-26)\/65*30\/32. Determine p, given that -f*p**2 - 1\/4 + 3\/8*p = 0.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) be the first derivative of -1\/2*y**2 + 3 + 1\/4*y**4 + 0*y + 0*y**3. Factor p(g).\nAnswer: g*(g - 1)*(g + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 29408921 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) be the first derivative of -1641*n**4\/2 + n**3\/3 - 5779*n**2 + n + 7064. Find the second derivative of m(w) wrt w.\nAnswer: -19692*w + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + 1 - ((-26 - (5 + (14 - 8))) + -5)?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = a + 1. What is r(-3)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = v + 15. Let t be s(-5). Suppose 0 = 5*u + w - 33, -4*u + 2*w = t - 28. Solve u = 2*j - 4*j for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:56 AM and 11:01 AM?\nAnswer: 305","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -u**3 - 4*u**2 - 17. Let h be l(-5). What is the third derivative of -22*r**4 - 3 + 11 - 40*r**2 - h wrt r?\nAnswer: -528*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 480 minutes after 2:52 AM?\nAnswer: 10:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10 + 2 + -7 + -13.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -214*c + 1 + 281*c - 261*c as j + f*c and give f.\nAnswer: -194","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 329193.1 milliseconds?\nAnswer: 329193100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -113\/720 and 103\/972.\nAnswer: 19440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (-20)\/(-150)*9*4\/8\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-2)\/(-7) + (-192)\/525. Let y = q - 17\/100. Let r be (0 - 2)\/1 + 2. What is the third biggest value in y, 0.3, r?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -634668 (base 9) to base 3.\nAnswer: -201011202022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.1877 - 0.0613. What is h rounded to two dps?\nAnswer: -0.25","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 9617338015.2315 - -4.\nAnswer: 9617338019.2315","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 375 + 335 - 661 = -t - 5*x, 23*t + x + 1009 = 4*x for t.\nAnswer: -44","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 643 minutes before 10:33 AM?\nAnswer: 11:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -15+-245502720135\nAnswer: -245502720150","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find t such that t**2 - 1606148*t + 24091995 = 0.\nAnswer: 15, 1606133","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 108475651 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (8 - 18) + (8 - 8)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 560 minutes before 12:06 AM?\nAnswer: 2:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 1, b: 2, y: 1, a: 1, v: 1, u: 1}. What is prob of picking 1 l, 1 u, and 1 a?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t - 1098 = 7*t + 4*h, -t = 2*h + 222. Put -5, t, 3 in increasing order.\nAnswer: t, -5, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1659\/1659)\/(3\/(276\/(-2)))?\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 182 or 184?\nAnswer: 184","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*r = -4*r - 30*r. Suppose r = -5*s + 10, 4*s + 2 - 10 = 4*c. Is c greater than 1\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 30555 and 8883315.\nAnswer: 315","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*u**2 + 35*u - 9.\nAnswer: (u + 9)*(4*u - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 45 = 11*d - 2*d. Let t(r) = -r**3 + 6*r**2 - 7*r + 6. Let q be t(d). What are the prime factors of (-6)\/q + 15\/6?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-36*a**2 + 7*a**2 + 16*a**2)*(0*a - a + 0*a) - 10*a**2 - 2*a**3 + 7*a**2 + 4*a**3 + 82 - a**3 + 5*a**2 - 82 - 2*a - 2*a**3 + 2*a.\nAnswer: 12*a**3 + 2*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*r + x - 4*x + 10, x = 2. Let k(o) = 5*o**2 - o - 1. Let l be k(r). Let a(y) = y**3 - 5*y**2 + 5*y - 6. What is a(l)?\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -9*w**3 - 7*w**2 - w - 5. Let t(c) = -2*c**3 - c**2 - 1. Let q(z) = 4*t(z) - v(z). Let h = 10 - 12. Determine q(h).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3*66\/1485*51)\/(6\/5)?\nAnswer: 17\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: What is 706 minutes after 4:12 PM?\nAnswer: 3:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u = -20, p + 13 = -u - 3*u. Find g, given that -2*g + g**3 - g**5 - 4 + 8*g**2 - 4*g**4 + 3*g**p - g**5 = 0.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*b + 32435 - 5969 = 0. Let m = 8422 + b. Is m composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve t + k - 17 = 0, -421*t - 6*k + 106 = -419*t for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v - 25 = -421. Let a = v - 69. Let o = 114 - a. Is o composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 - (5 + -6 + 1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*x + 133 = q + 136, 5*x + 11 = q for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -69, -62, -43, -6, 55, 146, 273?\n\"Answer: v**3 - 70","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -55*p**3*z**3 + 360*p**2*z - 3*p*z**3 - 1498*z wrt p.\nAnswer: -330*p*z**3 + 720*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3*4\/(-204)*2.\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 17273 to the power of 1\/10, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = 17*f + 8. Let d(j) = -13*j - 13. Let u(t) = 27*t + 29. Let a(o) = -5*d(o) - 2*u(o). Let k(r) = 3*a(r) - 2*p(r). Give k(0).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*2*-3*(1 + sqrt(19)) + 3 + ((sqrt(228) + (sqrt(228) - sqrt(228)*-1))\/sqrt(12) - sqrt(19)) + 3 + (sqrt(76) - sqrt(19)))**2.\nAnswer: 540*sqrt(19) + 4599","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m, 1 j, and 1 s when three letters picked without replacement from msjjjosjjoj.\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put -417, 5, -5, 2, -1\/10 in descending order.\nAnswer: 5, 2, -1\/10, -5, -417","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -77 + 77.00963. What is a rounded to 4 decimal places?\nAnswer: 0.0096","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-532)\/(-16) + (-2)\/8.\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1038\/((-6)\/(-96)*12) is divided by 19?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1389388 plus -0.0544164218?\nAnswer: -1389388.0544164218","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**(-10\/3)*k)\/k)\/(k\/(k*((k\/((k**13*k)\/k*k))\/k*k)\/k*k))*k**(-8\/3)*k*k*k**(-11)*k assuming k is positive.\nAnswer: k**(-27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 13581 and 67905?\nAnswer: 67905","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 197\/(-2)*(-1)\/2. Let m = -49 + y. Let r = -13 - -16. Sort r, 2, m in ascending order.\nAnswer: m, 2, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f = c - 12, -c - 8 = -f - 22. Suppose -28 = -4*a - 3*a. Suppose a*i - 793 + 253 = 0. Calculate the greatest common factor of c and i.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2.1 - 7.6. Let l = -6 - x. What is l rounded to zero dps?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.019 > 794677?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 6630*d*y + y + 1746 wrt d?\nAnswer: 6630*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-2)\/(-4))\/((-1)\/(-4)). Let r be (4\/3)\/((-3)\/(-9)). Let g = -170 - -167. Put g, q, r in increasing order.\nAnswer: g, q, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2777833986?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + 204*(-3)\/(-315) + 10287\/(-1890)?\nAnswer: -11\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4951?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express (3 - 3 - v)*(23185 - 13532 - 12948 + (4 + 0 - 3)*(1 + 2 - 4) + 1 - 3 + 3) in the form n*v + f and give n.\nAnswer: 3295","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6*k**2 - 9*k + 6 + 0*k**2 - 8 to i*k**2 + s + w*k and give s.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 290 - 160. Suppose n = -q - 462. What is the units digit of q\/(-24)*(-9)\/(-6)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8297 + 8434 - 16731 - 926*r.\nAnswer: -926*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 0 - (96\/52 + -2)\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 342 - 344. Let m = 176 + -521\/3. Let q = 31 + -31.3. What is the biggest value in m, q, u?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -40*j + 1. Let f(h) = 155*h - 79*h - 78*h. Give f(i(m)).\nAnswer: 80*m - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 342\/5 + -116. Let i = p - -48. Let z = 0.0674 - -0.2326. What is the second biggest value in -8, z, i?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -707210880 divided by -23511?\nAnswer: 30080","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 2997590.25 to the nearest ten thousand.\nAnswer: 3000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*n + 9, 4*o = o + n + 27. What is the smallest common multiple of (-1)\/(-2)*2 - 0 and o?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -8377 - -32667. What is the thousands digit of a?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-3)\/(-6))\/((-26)\/(-13520)). Let a = -208 + w. What is the remainder when 157 is divided by a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -448 = -17*q + 81*q for q.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -5*t**3 - 9*t**2 + 17*t + 23. Let u(h) = -9*h**3 - 18*h**2 + 33*h + 45. Let x(y) = 6*u(y) - 11*z(y). Let o = 331 + -317. Is x(o) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:36 PM and 12:18 AM?\nAnswer: 702","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 1, c: 2, z: 1, f: 2}. What is prob of picking 2 f?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 1224989.5 to the nearest 1000.\nAnswer: 1225000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 1651301 even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2181 (b) 0.07 (c) -2\/7 (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 87662.52 meters in micrometers?\nAnswer: 87662520000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2.47 + 5.35. Let d = i + -7.78983. What is d rounded to 2 dps?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*j = f + 12, -3*f + 4 = 2*j + 2*j for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 9.86232 minutes?\nAnswer: 591739200000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 3 - 1)*(-2*g**2 + 2*g**2 - g**3) - 71*g**3 + 142*g**3 + 160*g**3 + (0*g**2 + 0*g**2 + 2*g**2)*(g + 1 - 1).\nAnswer: 231*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2292984 and 3276?\nAnswer: 208661544","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) be the first derivative of -4*y**2 - 3. Let v(j) = 5*j. What is c(v(d))?\nAnswer: -40*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is -6 at least as big as -26?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 + -0.412.\nAnswer: -3.412","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:41 AM and 7:06 AM?\nAnswer: 325","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1772\/3*t + 14\/9*t**2 - 1520\/9.\nAnswer: 2*(t - 380)*(7*t + 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -88*a = -86*a + w + 12, 0 = 4*w + 8 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -12*m + 12. Let r be g(8). Let l be (-1)\/(2\/32 - 0). Let y be r\/l - 2\/8. Solve 4*k = -4*t - 4, y*t - 8 + 3 = 0 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -3*f**3 - 6*f**2 + 21*f + 44. What is v(-6)?\nAnswer: 350","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 785920.5 millennia to months.\nAnswer: 9431046000","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: (1 + -5 + -4 + 0 - -5) + -4\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 0.3 (b) 5 (c) -2.2 (d) -124\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ysissssyiycyc. Give prob of picking 1 y and 1 s.\nAnswer: 10\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -2*v + v + 1 + 0. Let p be w(-1). What is the third derivative of -b**p - b**5 - b**2 - b**2 wrt b?\nAnswer: -60*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 - (-8 + 1 + 26 + -21).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 25\/15*(-18)\/(-50).\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10 = 2*a, 14*a - 15*a + 5 = -3*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 679, 1272, 1867, 2470, 3087, 3724?\n\"Answer: w**3 - 5*w**2 + 601*w + 82","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 24 times 3.5?\nAnswer: 84","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from lllllllwillill. Give prob of picking 1 w and 3 l.\nAnswer: 15\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10\/5*6*(-2)\/8.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 - s + 5)*(-17*s**3 + s - 3*s + 10*s**3 + 4).\nAnswer: 7*s**4 + 2*s**2 - 4*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (1 + 0)\/((-1)\/(-5)). Suppose -y = s + 2*y - 3, -j*y = -3*s + 9. Suppose -s*p = -8*p + 140. What are the prime factors of p?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 3\/2278 or 0?\nAnswer: 3\/2278","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 (base 12) in base 11?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 276 a factor of 2092356?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = 2*d**2 + 19*d + 44. What is v(-3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -126 + 51 = 15*j. Which is the closest to -0.6? (a) 1\/2 (b) j (c) 0.9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 34\/8 + 417\/556 - 104\/22?\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = 5*d**3 - 4*d**3 + 12 + 2 - 13*d**2 - 7*d + 1. Is p(14) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 88946.82 seconds in nanoseconds?\nAnswer: 88946820000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 273712794?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -1.009 * 11956\nAnswer: -12063.604","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -p**2 + p - 1. Let b(u) = -11*u**3 - 6*u**2 + 6*u - 6. What is -b(k) + 6*q(k)?\nAnswer: 11*k**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(4) + sqrt(100) + -3*sqrt(100))\/(3*sqrt(162)).\nAnswer: -sqrt(2)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 1 + 0 - 0 - (-3 + -1)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is b0 - d851?\nAnswer: -d781","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -t**3 - 6*t**2 + 8*t + 10. Let g be z(-7). Solve -11*f + g + 6*f**3 - 2*f**5 - 4*f + 8*f**5 - 21*f**4 + 18*f**2 + 3*f**5 = 0 for f.\nAnswer: -1, 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jj when two letters picked without replacement from jjjjjjjjj.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is (-117 - 6)*10\/(-6) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 29 * -673341\nAnswer: -19526889","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -178, -3, -4, 6.\nAnswer: -178, -4, -3, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 7 - -228?\nAnswer: 231","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 3ab0 (base 15) in base 8?\nAnswer: 30374","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 647 minutes before 11:29 AM?\nAnswer: 12:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 13*n - 8*n + 5*o - 5, -50*n - 182 + 2 = 4*o for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*q - 5*h - 13775, 0*q + 4*h + 6880 = -q. Round q to the nearest 1000.\nAnswer: -7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = 61*t + 7841. Give i(-130).\nAnswer: -89","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -9*d*m**2 + 230*d*m - 2*d + 710*m**3 + 2*m**2 - 15*m wrt m.\nAnswer: -18*d + 4260*m + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bbccccccbcbcbc. Give prob of sequence cbc.\nAnswer: 15\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 120975329?\nAnswer: 120975329","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 92 and 4853.\nAnswer: 19412","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 1.4, 4, 2, 0.059075?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-4)\/(8\/30) - -17. Let u(s) = s**3 + 5*s**2 + 3*s + 1. Let g be u(-4). Suppose -j - 9 + 29 = -f*r, 0 = g*j + 3*r - 100. Solve -j = -3*k - k for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-1)\/11*(-1559)\/6. Let o = k + -21\/22. Find the common denominator of 366\/20*8175\/(-9810) and o.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*i - 4*i = 0. Suppose 4*h = l + 9, 21 = 3*l - 0*l + 4*h. Suppose k + 4*j - 15 + l = i, -2*k = j - 31. What is the greatest common factor of 176 and k?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-45)\/20)\/(648\/144).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-252)\/(-135)*(-20)\/8*-855?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-nine quarters of a milligram in micrograms?\nAnswer: 12250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**47)**43\/(f\/f**(-45)*f**(-2\/9)))**(2\/67) assuming f is positive.\nAnswer: f**(35554\/603)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = 201*n**2 + 18*n - 56. What is the thousands digit of z(6)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q and 1 f when two letters picked without replacement from hwwwwwfwwwqb?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*m**4 + 591*m**3 + 6219*m**2 - 1539*m - 67068 = 0. Calculate m.\nAnswer: -9, -4, 3, 207","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = 5*t**3 + 3*t + 4. Let a be g(-3). Let r = a - -250. List the prime factors of r.\nAnswer: 2, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 4 + 66*x + 36*x**2 - 4 + 150*x**2 - 65*x in the form u + n*x**2 + f*x and give f.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 290, 14 in descending order.\nAnswer: 290, 14, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 19417 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 535613?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -91\/4 + 451\/20. Let k(u) = u - 2. Let p be k(5). What is the closest to -1 in p, 5, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 685 minutes after 8:13 AM?\nAnswer: 7:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 6 - 3. Let w(d) = d - 2*d**3 + u*d + 3*d**2 + d**2 + 2 + 3. Let a(b) = 6*b**3 - 11*b**2 - 14 - 243659*b + 243648*b - b**3. Determine -4*a(n) - 11*w(n).\nAnswer: 2*n**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k - 252 = -9*k. What are the prime factors of k?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -5476 + 336107?\nAnswer: 330411","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 25 + -18. Suppose d*s - 4*s = 0. Suppose -3*z - 2*z + 260 = 4*o, o + 5 = s. Is 13 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 28 + -24. Solve 4*s + 0*c = 4*c + w, 2*c = 5*s + 4 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3019509 and 7018.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q - 240 = 2*v + 440, 2*v + 4 = 0. What are the prime factors of q?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = f**2 + 4*f - 4. Let a be 2*((-3)\/2 - 0). Let j be g(a). Let c(b) be the third derivative of -b**4\/24 - 3*b**3\/2 - 50*b**2. Calculate c(j).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -r**2 - 8*r + 4. Suppose 0 = -6*g + 2*g + 8, -5*d + 4*g - 43 = 0. What is the units digit of t(d)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uul when three letters picked without replacement from {l: 1, u: 3}.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -26 + 46. Let h = -12 + u. Suppose s - 3*s = -h, 3*a = -4*s + 19. Is a smaller than -2\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 69539 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide 12948 by -1079.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00189855893 to 5 decimal places.\nAnswer: 0.0019","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 692 minutes after 11:32 PM?\nAnswer: 11:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ssss when four letters picked without replacement from {r: 2, v: 4, s: 7}.\nAnswer: 7\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 27103 is divided by 195?\nAnswer: 193","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -6949*a*x**2 - 2657*a - x wrt x.\nAnswer: -13898*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-10*f**3 + 3*f**3 + 13*f**3)*(9*f - 4*f - 6*f) + (-4*f + f + f)*(0*f**2 + 0*f**2 - 2*f**3) + (-1 + 1 + 2*f)*(4*f**3 - 6*f + 6*f) - f + 2*f**4 + f.\nAnswer: 8*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.1, 252060, 5, 1\/2?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ffff. What is prob of picking 4 f?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*c - 2*c**2 + 2*c)*(-3 - 2 - 2)*((-1 + 0 + 0)*(-3 + 1 + 1)*(-7*c + 0*c + 4*c) + 5*c - 9*c - 4*c).\nAnswer: -154*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 4*i**3 + 49*i**4 - 60362*i**2 + 9*i**4 + 67653*i**2 wrt i?\nAnswer: 1392*i + 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h**3\/(h*h\/(h*h*h\/(h*h*h**8\/h))*h)*h*h*(h\/h**(2\/5))\/h*h*h*h\/((h**2\/h)\/h)*h assuming h is positive.\nAnswer: h**(-2\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 159 - 120. Calculate the lowest common multiple of l and 33.\nAnswer: 429","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 44041 divided by 2?\nAnswer: 44041\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = c**2. Let z(n) = 5*n + 6*n + 5*n**2 - 15 + 9 - 6*n + 8. Let t(g) = -2*y(g) + z(g). Factor t(w).\nAnswer: (w + 1)*(3*w + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 22249, 10, 0 in decreasing order.\nAnswer: 22249, 10, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 295060?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b - 3*j = 41, -6 = -j - j. What is the greatest common divisor of b and 530?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -34200000 rounded to the nearest 1000000?\nAnswer: -34000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 1, 4, -18 in decreasing order.\nAnswer: 4, 2, 1, -18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1.9 + -0.1. Let d = -4\/5 + 13\/10. Let k = 0.267 + 0.133. Which is the closest to 1? (a) d (b) t (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 4021\/5 in -1, 6, 0.9?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -32577 and -1933?\nAnswer: 30644","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.035402123 rounded to three decimal places?\nAnswer: 0.035","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 divided by -1245.\nAnswer: 1\/249","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Add -4.32958225 and -1.\nAnswer: -5.32958225","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = 2*g. Let n(d) = d - 3. Let h(s) = -2. Let b(o) = -3*h(o) + 2*n(o). Determine b(y(j)).\nAnswer: 4*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v**5\/2 + 97*v**4\/4 + 1219*v**3\/4 - 641*v**2\/2 - 16299*v + 8190 = 0. What is v?\nAnswer: -26, -15, -14, 1\/2, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 87\/42610 and 17\/50.\nAnswer: 213050","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 15.11 - 15.51. Which is the nearest to -1? (a) 44 (b) d (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 121.7 rounded to the nearest 10?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -119637, -239267, -358895, -478521, -598145, -717767?\n\"Answer: p**2 - 119633*p - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*y - 780*r - 22 = -781*r, -y - 11 = -8*r for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2.2 + -15.\nAnswer: -12.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express 17*l**4 + l**4 - 4*l**4 + (-16 + 6*l**2 + 16)*(l + l - 3*l)*(-l - 2*l + l) as r*l**2 + k + v*l**4 + s*l**3 + x*l and give v.\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 46*f**5 - 2*f**3 - 331*f**2*n - 3836840*f*n wrt f?\nAnswer: 920*f**3 - 12*f - 662*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x - 28 = 2*x. Is x a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) be the second derivative of q**4\/12 + q**3\/3 + q**2 + 11*q. Let t(n) = -3*n**2 - 4*n - 5. Suppose 0 = 3*w + 8 - 2. Determine w*t(k) - 5*z(k).\nAnswer: k**2 - 2*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2068*y - 12540 = 4033*y - 2074*y - 4474 for y.\nAnswer: 74","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 5\/2, -32, 2, 2\/3?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 60163362 a multiple of 3717?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*x**2 - 362802*x - 160852815 = 0 for x.\nAnswer: -120489, -445","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 89971 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 25984 is divided by 888.\nAnswer: 232","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/9, 5, -0.34.\nAnswer: -0.34, -2\/9, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 221616447.\nAnswer: 3, 13, 1471, 3863","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f - 5 = -2*d, f - 3*f + d = 0. Let i be -2 + 10 + f + -5. What are the prime factors of i\/20 + 327\/15?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) be the first derivative of u**9\/13608 + u**8\/7560 - u**7\/3780 - u**6\/1620 + u**3\/3 - 2. Let d(o) be the third derivative of t(o). Factor d(r).\nAnswer: 2*r**2*(r - 1)*(r + 1)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -167 and 37 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 425672 divided by -3?\nAnswer: -425672\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = i**2 + 5917*i. Let s(b) = 1260*b. What is j(s(n))?\nAnswer: 1587600*n**2 + 7455420*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 216199 and 33373?\nAnswer: 1451","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -258 + 258.4. Let x = 3.7 - 1.2. Let m = 0.5 - x. Which is the second smallest value? (a) v (b) -1 (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -22*l - 12*l - 53*l + 44*l - 12 - 4 to the form j*l + c and give j.\nAnswer: -43","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1227, -1104, -901, -624, -279, 128, 591?\nAnswer: 1104","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -q**2 + 172*q - 674. Let c be a(4). Put 34, c, -8, 2, -5 in decreasing order.\nAnswer: 34, 2, c, -5, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1828206 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4600785 is divided by 16?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -35, -165, -387, -701, -1107, -1605?\n\"Answer: -46*b**2 + 8*b + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 divided by 3714?\nAnswer: -1\/1857","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 362 is divided by 41?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from nnblnbblnlnnn. Give prob of picking 1 l and 3 b.\nAnswer: 3\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = 654*y - 52. Let d = 90 + -88. List the prime factors of v(d).\nAnswer: 2, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -104*m**2 - 76*m**2 + 10*m**2 - 183*m**2.\nAnswer: -353*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.323 + 0.723. What is the third smallest value in -50, x, 3\/5?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = 7*d**3 + 13*d**2 - 3*d - 12. Is o(9) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -412684 by -1.\nAnswer: 412684","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j\/j**(-3\/16)*j*j**(-21)*j assuming j is positive.\nAnswer: j**(-285\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -292749, -292747, -292743, -292737, -292729, -292719, -292707?\n\"Answer: l**2 - l - 292749","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -15 - -20. Let w = c + 10. Is 15 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*y - 129 = 3 for y.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -929 + 881.92. Let p = -47 - w. Which is the second biggest value? (a) p (b) 0.5 (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 160 divide 13011809?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -17 or 2\/771?\nAnswer: -17","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 136327?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q - 2 = r, -5*r + 0 = q - 6. Suppose -r*b = -3*b. Suppose b = -h - 4*c - 9, 0*h - 4*h - 5*c = 14. Let j(v) = 9*v**2 + 2*v + 1. Determine j(h).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-11)\/((-770)\/(-40)) - 436\/(-28). Let k be (-11 + 10)*7\/((-21)\/t). Suppose 1\/6*a**k + 0 - 1\/2*a**3 + 0*a + 1\/3*a**2 + 0*a**4 = 0. Calculate a.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (1\/2)\/((-2)\/(-48)). Let c(i) = -i**3 - 27*i**2 + 190*i + 1002. Let g be c(-32). What is the greatest common factor of b and g?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8.832474 kilograms to micrograms.\nAnswer: 8832474000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2\/23, 2, 7, -259, 8\/13?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -11*p + 2. Let i be t(2). Is -20 < i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 3, v: 3, o: 1, m: 3}. What is prob of picking 2 m and 1 v?\nAnswer: 3\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -3*c - 4. Let k be (-19)\/3 + 7\/21. Let g(t) = t**3 + 6*t**2 + 5*t - 2. What is the lowest common multiple of g(-4) and y(k)?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -7076 and 0.2.\nAnswer: -1415.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((2 - 2 + l)*(-l - 2*l + l) - 9*l**2 - 332*l + 332*l)*(23 + 134 + 49) to the form u*l + o + t*l**2 and give t.\nAnswer: -2266","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 3902881 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4\/(-14) - (6\/(-21) + (-90)\/27) - 4?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 130 - 143507?\nAnswer: -143377","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 881 to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 228 divide 1363093?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 303 - -655. Does 72 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -31.78 - -32.18. Let h be 6\/(-15) - (-727)\/1180. Let i = h + 2\/59. Which is the third smallest value? (a) 0.3 (b) i (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2096? (a) 0.5 (b) -2\/5 (c) 3 (d) -617\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -154 or -152?\nAnswer: -154","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 58968, 471407, 1590906, 3771003, 7365236, 12727143, 20210262?\n\"Answer: 58923*c**3 - 8*c**2 + 2*c + 51","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = 41*o**2 + 19*o + 19. What is q(-1)?\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p - 13 = 5*d, -d + 19 = 2*p - 4*d. Solve -69*l + p = -77*l for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:41 PM and 11:56 PM?\nAnswer: 315","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 287422?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/29? (a) 2 (b) 0 (c) -3 (d) 9 (e) 4\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l = -0*l - 128. Let i = l + 834\/13. Let m = 327 - 324. Which is the closest to -1? (a) i (b) 0.4 (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jvnn when four letters picked without replacement from {j: 4, x: 2, v: 1, n: 2}.\nAnswer: 1\/378","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*c + 8*c - 3108. Suppose -15*n = -8*n - c. What are the prime factors of n?\nAnswer: 2, 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3*(sqrt(102) + 3*sqrt(102) - sqrt(102) - sqrt(102))*2)\/(-2*-2*sqrt(600)))**2.\nAnswer: 153\/100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 + (-53 - (-8 + -10)).\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -579 - -1556. List the prime factors of u.\nAnswer: 977","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -6*v**2 + 0*v**2 - 2*v**2 + (-1 + 2 + 0)*(0*v + 0*v - v**2) + 9 - 17*v**2 - 9.\nAnswer: -26*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 29 + 4564 + 1531 = -77*z + 349 for z.\nAnswer: -75","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 10 + 8 + 4 + -28\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 216 in -3, -0.2, -0.5, -13, -34?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 101035430 by -94.\nAnswer: -1074845","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 288\/90 - (2 - 18\/10)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 233831.928 rounded to the nearest 10?\nAnswer: 233830","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 11.62 + -0.62. What is the second biggest value in -4\/5, -2, f?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*v + 11 + 1. What is the first derivative of -76*h - 118218*h**v - 16 + 118218*h**2 - h**3 wrt h?\nAnswer: -3*h**2 - 76","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -7*g - 22. Is 16 a factor of z(-7)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*t - 2*t**5 - 2*t + (2*t**2 - 2*t**2 + 2*t**2)*(-2*t**3 - 2*t**2 + 2*t**2) + 27*t**5 - 50*t**5 - 9*t**5.\nAnswer: -38*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -230478, -230552, -230638, -230730, -230822?\nAnswer: -230908","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (6\/(-4) - -1)\/(3\/(-18)). Suppose 3*g = 5*r - 3772 + 322, -j*r = -4*g - 2059. Does 77 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 271882278 to the power of 1\/10, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 659 + -659.381. Round w to 1 dp.\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 1464, 3405, 5346?\n\"Answer: 1941*v - 477","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 403041912.\nAnswer: 2, 3, 7, 13, 31, 5953","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 10050826 and 2512?\nAnswer: 314","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express q + 11*q**2 - 5*q - 659 + 661 as k + j*q**2 + l*q and give l.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put -6, -4, -2 in decreasing order.\nAnswer: -2, -4, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 8, c: 3}. What is prob of picking 2 c?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of (3 + (-7 - -8598))*2?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0, -0.306, 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2\/5 or 18\/1441?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (746\/4)\/1 + (-4)\/(-8)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b = -2*f - 5*b + 1527, -5*f - 6*b = -3822. Is 8 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4931*r**3 + 2 + 9855*r**3 + 2 - 2 - 4922*r**3.\nAnswer: 2*r**3 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1\/6, 23.8, 1?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 44490\/6120 - (2 - -4). Let q = 1\/51 - h. Which is the smallest value? (a) 3\/4 (b) 3\/5 (c) q (d) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) be the third derivative of 409*m**5\/10 - 2435*m**3\/3 - 2115*m**2 - 2. Differentiate b(d) with respect to d.\nAnswer: 4908*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 2.00365438466975 and 3.\nAnswer: 5.00365438466975","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 16 in 5, 1, -4, 4?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6647034.\nAnswer: 2, 3, 17, 65167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -1415512 + 0?\nAnswer: -1415512","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 28 and 392?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = 101*f - 192. Let m be q(5). Suppose 324*o - m*o = 11044. List the prime factors of o.\nAnswer: 2, 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find m, given that 5*m**2 - 5*m - 450 = 0.\nAnswer: -9, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 4104285 - -11677469\nAnswer: 15781754","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.6 and 0.623792?\nAnswer: -0.3742752","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = w**3 - 2*w**2 - 2*w + 7. Let h be y(5). Suppose m = x - h, -x + 3*m + 68 = -0*m. What is the units digit of x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 + (-15 + -15 - -12) - -44?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.6 in 7, 5, 1\/49, -3, -17?\nAnswer: 1\/49","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 69.0153 - 1.0153. Is 0.021 equal to w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3511?\nAnswer: 3511","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 - 2 + 5)*(2*q - 2*q + 4*q + (-q - q + 4*q)*(-2 + 3 + 7) + 3*q - q + 4*q + (1 + 2 - 1)*(-1 + 2*q + 1)) as c*q + v and give c.\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.015185401 and 22?\nAnswer: 0.334078822","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 19\/4 of a meter in centimeters?\nAnswer: 475","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -528.6 + 549.6. What is the fourth biggest value in -4, 1\/6, t, 0.5, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -53423 = -8*d + 205687 + 24570. List the prime factors of d.\nAnswer: 2, 3, 5, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 513, 1003, 1493, 1983?\n\"Answer: 490*c + 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**1)**(5\/6)\/(t\/t**(-2\/7))**(-3\/2) assuming t is positive.\nAnswer: t**(58\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 120 divided by 15\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + (sqrt(475) + -1*sqrt(475) + 2 - sqrt(475) - sqrt(475) - -3*(sqrt(475) + (1*sqrt(475) - sqrt(475) - sqrt(475)))) + -3)**2 + -2.\nAnswer: -20*sqrt(19) + 1899","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x - 4*z + 48 = -25, 0 = 3*x + 2*z - 45. Suppose x*j + 9 = 20*j. Solve j*u + 10 = u for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = z + 4*l + 59, -4*z = 3*l + 98 + 73. Suppose -7*c + 5*c = -4. Let r be (c - z) + 28\/7. What is the highest common factor of r and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 36134 to the power of 1\/2, to the nearest integer?\nAnswer: 190","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from asgap. What is prob of picking 1 p, 1 g, and 1 a?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l - q + 14 = 0, q - 20 = -3*q. Suppose -3*w + w + 4 = 0. Let a(p) = -2*p**2 - 2*p + 4*p**w + p**2 + 2 - 2*p**2. Calculate a(l).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 59478, 59466, 59408, 59280, 59058, 58718, 58236, 57588?\nAnswer: 56750","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ckdcccwkcdczcckcwkc. Give prob of picking 4 k.\nAnswer: 1\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert -14312 (base 5) to base 3.\nAnswer: -1122201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -23189 - -23213. Suppose 0 = -4*s + 79 + 369. What is the least common multiple of l and s?\nAnswer: 336","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*p - 2*a + 22, -5 = 5*p - 2*a - 2*a. Let h(y) = -67*y + 3152. Let r be h(47). Solve n + 1 = p*u, -3*u + r*n + 0*n = -9 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m + m + 2*p = -12, 0 = 4*m - 4*p + 24. Let g be 1\/3*((2 - m) + -3). Sort -1, g, 19, 0.\nAnswer: -1, 0, g, 19","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 2\/(-36)*455 + -6. Let f = o - -63\/2. Which is the second smallest value? (a) -5 (b) -0.2 (c) f (d) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-194 + 253)\/(-1*(0 - (-1)\/6)). Are o and -349 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -a**3 - 3*a**2 - 10*a - 4. Calculate o(-4).\nAnswer: 52","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 22241?\nAnswer: 23, 967","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -110787, -110748, -110709, -110670, -110631?\n\"Answer: 39*o - 110826","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*i**4 - 130*i**3 - 455*i**2 - 330*i.\nAnswer: -5*i*(i + 1)*(i + 3)*(i + 22)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 88 - 88. Let v be 1\/4 - 60\/(-16). Solve -2*z = -v*t - 8, m*z + z + 5 = -t for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) be the second derivative of 19*z**3\/6 + z - 176. Let p(m) = -m - 13. Give p(u(w)).\nAnswer: -19*w - 13","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.505067075 rounded to 3 dps?\nAnswer: 0.505","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 - 3 - -11 - 1.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 670 minutes after 6:07 AM?\nAnswer: 5:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 90 and 90.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r + 3 - 37 = 0. Suppose 0 = 25*z - 20*z - 1670. Suppose 5*n - 2*b = z, 0 = -2*n + n - 2*b + 74. What is the greatest common factor of n and r?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-7 + 17)*6\/4. Let s(m) = m**3 - 14*m**2 - 16*m + 15. Let d be s(v). Let k(a) = a**3 + a**2 - a - 8. What is k(d)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 - 13 - (-159 + 172).\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 86560759 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*v**5\/11 - 1038*v**4 - 11416*v**3\/11.\nAnswer: -2*v**3*(v + 1)*(v + 5708)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 282114870757 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = 2*u + 4*d - 0, 0 = -u - 3*d. Let j = 1081 - 747. Let f = j + -214. Calculate the highest common divisor of u and f.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 91 - (32 - -34 - 12 - 20).\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = 2*s - 3. Let l be c(3). Suppose -16 = 2*u - 3*b - b, -5 = 5*u - l*b. Solve 3*a - a - 2 = -u*i, 2*a - 14 = -5*i for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2184438 to the nearest integer?\nAnswer: 130","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from raraaraarrrarrrrrra. What is prob of sequence arar?\nAnswer: 77\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 419 minutes after 8:46 PM?\nAnswer: 3:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -36\/18653 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 1 + (-710 - (4 - (4 + -6))). Let h be 3 - (-51)\/(-15) - 156\/c. What is the nearest to -0.1 in -0.4, -0.8, 1, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 + 5 = 5*q. Let l(h) = -8*h - 36. Let b be l(-7). What is the greatest common factor of b and q?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 27\/2 of a litre?\nAnswer: 13500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*r - 8 = -515. What is the greatest common factor of 637 and r?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*x - 760386 = -57754386. Round x to the nearest one million.\nAnswer: -3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1211803*4.\nAnswer: 4847212","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 320369359 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 4778, -609 in decreasing order.\nAnswer: 4778, -2, -609","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 320319095?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -2*f**2 - 21*f + 12*f + 9*f. Let v(g) = -5*g**2 + 0*g**2 + g**2. Calculate a(v(s)).\nAnswer: -32*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -896 + 1635. Let n = c - 736. Let v = 5147\/15 - 343. Put v, n, 3\/4 in decreasing order.\nAnswer: n, 3\/4, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 67\/1026057 and 27\/1532.\nAnswer: 4104228","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*m + 3480 = -10*m + 5*i, 2*m - 4*i - 1374 = 0. Is 63 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from arrayararr. Give prob of picking 3 r.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (5\/((-75)\/(-6)))\/(238\/(-70)).\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-24)\/(-10) + ((-35)\/25 - -1). Solve -r - 2 = -4*o, o + 2 = -o + u*r for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -573 + 572.7. Put 2.7, -2, w in ascending order.\nAnswer: -2, w, 2.7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((p\/(p\/(p*p**2)*p))\/p)\/p*p*p\/(p*p**3)*p**(-6\/11)*p\/(p*p**3))**(-6\/23) assuming p is positive.\nAnswer: p**(366\/253)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 63a0c97 - 2?\nAnswer: 63a0c95","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fc when two letters picked without replacement from cuduuudfucucuufc.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -21, -17, 3?\nAnswer: -17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-three thirds of a year in months?\nAnswer: 92","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 154440 and 5850?\nAnswer: 772200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 8480?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1\/542 - -18431\/1626. Calculate the common denominator of c and (-11)\/(-22)*(-34)\/11.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 16681 is divided by 38.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence whvm when four letters picked without replacement from {v: 1, m: 2, w: 2, h: 2, l: 4, f: 8}?\nAnswer: 1\/11628","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 13, t: 6}. What is prob of sequence ott?\nAnswer: 65\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = 23765*b - 118222. Determine r(5).\nAnswer: 603","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 399597 to the power of 1\/3, to the nearest integer?\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 28 is divided by 16.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1967412364.\nAnswer: 2, 23, 53, 331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2.7 + 0.7. Let v = -1218 - -1218.2. Sort v, n, 5 in decreasing order.\nAnswer: 5, v, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:51 PM and 2:02 PM?\nAnswer: 71","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -3*t**2 - 9*t + 7. Let f = -22629 - -22623. What is q(f)?\nAnswer: -47","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does -1 = 202\/4251?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = 7*t**3 + 88*t**2 - 9*t + 26. What is x(-13)?\nAnswer: -364","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 260 minutes after 8:20 PM?\nAnswer: 12:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*j**3 + 46*j + 2 - 2*j**2 - 22*j - 21*j to the form w*j**3 + y*j**2 + r + p*j and give y.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 3\/105*25*7 + -2. Let t = -0.12 + 0.1. What is the closest to 0.1 in t, -1, v?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 b when two letters picked without replacement from {t: 2, d: 4, a: 3, o: 1, b: 7}.\nAnswer: 21\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-2)\/(-4))\/(108\/(-216)). Let v be (4\/(-10))\/((-49)\/(-3199)). Let t = -132\/5 - v. Put 4\/3, t, g, -1\/3 in descending order.\nAnswer: 4\/3, t, -1\/3, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -9\/20 and 19\/80.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = h**3 - 3*h**2 - 2*h - 1. Let a be 6 + -7 - -2 - -1. Give r(a).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-6)\/(-1650)*((-25260)\/8841)\/((-8)\/(-14))\nAnswer: -1\/55","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = 9*n**2 - 201*n + 45. Calculate j(21).\nAnswer: -207","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -2*o**3 - 4*o**2 + 2*o + 7. Let s be t(-3). What is the smallest value in -4, 2\/15, s?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -9 in -3\/7, -0.2, -250, -0.63?\nAnswer: -0.63","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 10356612191 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 389618 to the nearest integer?\nAnswer: 624","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -101638*u + 1176 = -101589*u for u.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*h + 14 = -h. Suppose f - 3*f = h*f. Suppose f = -4*o + 20, -5*i + 3*o + 20 = 4*o. Solve -4*a = -i*a + 5 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = 2*b**2 + 9*b - 3. Let w(r) = -12*r**2 - 92*r + 26. Let v(g) = 6*g**2 + 42*g - 12. Let i(a) = -5*v(a) - 2*w(a). Give 17*c(m) + 6*i(m).\nAnswer: -2*m**2 - 3*m - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 61326 is divided by 19322.\nAnswer: 3360","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -744.1 + 744. Let o = 19 + -14. Let k be 1\/o*(-15)\/(-12). What is the closest to 16 in 4, k, s?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -x - 3*x + 1692. Let h = -248 + x. Suppose 0*f + 5*f = h. Calculate the greatest common divisor of f and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1780 = -2*d + 4520. What is d rounded to the nearest 100?\nAnswer: 1400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*o + 3*o - 9 = 0. What is the derivative of -h**o - 1 + 2 + 3*h**3 - 4*h**3 wrt h?\nAnswer: -6*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*m = -3 - 13 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g + 4*p = 110, 0 = 4*g + 2*p - 0*p - 82. Suppose -4*c - 2 = -g. Solve -v - 15 = c*v for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 + (-2 - (-3 + 6))\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*a**2 + 0*a**2 + 7*a**2 + 3*a - 2*a + 6*a**2 - 17*a**2 + (0 + 0 - 2*a**2)*(0 + 4 - 2).\nAnswer: -5*a**2 + a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -552, -1192, -1832, -2472?\n\"Answer: -640*c + 88","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 13125 (base 11) in base 16?\nAnswer: 495e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -175*m = -185*m - 30 - 10 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = o. Suppose 0 = 16*w - 10*w + 36. Let t(z) be the third derivative of -z**4\/6 + z**2. Determine w*t(l) - 26*k(l).\nAnswer: -2*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (445\/(-4272)*12)\/((-1)\/(-4))\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*c - 1 - 2. Let t be c\/(-5) + (-24)\/(-5). What is the second derivative of 2*g**5 + 0*g**5 - 2*g - g**t wrt g?\nAnswer: 20*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0001228 rounded to 5 dps?\nAnswer: 0.00012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a micrometer in nanometers?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -16, -3, 4, 5, -2.\nAnswer: -16, -3, -2, 0, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -19.6 * 0.0511\nAnswer: -1.00156","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -8 + 7. Let z = -0.18 - 0.12. Which is the nearest to h? (a) 4\/5 (b) -0.2 (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q + 29 + 1 = 0. Let y be (-4)\/q*(-683514)\/120. Let n = y - 3791. Calculate the common denominator of -63\/10 and n.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -22.051 - -0.051. Let t = z - -9. Let k = t - -9. Which is the second biggest value? (a) k (b) 0 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*b**4\/6 + 10*b**3\/3 - 5*b**2\/3 - 10*b + 15\/2 = 0.\nAnswer: -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -43, 5, -2.717, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1 + 0.7. Let w = y + 0.2. Let x = -33.5 + 34. What is the closest to w in x, 3\/2, -5?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -63186*z + 1895577. What is i(30)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -322*i = 6*u - 323*i + 30, -5*u - i = 25 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -30*c - 20 = -26*c for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2794 = -5*u - 3*r, r = 4 - 6. What is the common denominator of ((-21)\/u)\/((-6)\/404) and 29?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 6\/9 + 6\/(-9). Let d = -0.059 + 0.109. Which is smaller: f or d?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -10 - -3. Let t(z) be the second derivative of -2*z**3\/3 + 6*z**2 - 4*z - 13. What is the units digit of t(x)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -f**3 - 14*f**2 + 13*f - 40. Determine l(-15).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (78\/5)\/(-3) - (-1)\/5?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:58 AM and 9:29 AM?\nAnswer: 331","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s + 171 - 257 = 0. Suppose 36*l = s*l - 2303. What are the prime factors of l?\nAnswer: 7, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = 2*p. Let o(r) be the second derivative of -5*r**4\/4 + 6*r. Calculate u(o(q)).\nAnswer: -30*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (4 + -6)\/(3 - 133\/49)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(1008) + 2)**2 + (sqrt(448) + 0 - (sqrt(112) + -4)) - ((-5*5*(sqrt(175) + -2 + sqrt(175)))**2 + -5).\nAnswer: -438979 + 24956*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = 4*m + 23. Let a be x(-9). Sort -4, -3, a in decreasing order.\nAnswer: -3, -4, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -a**3 - a**2 + a + 1. Let r(l) = l**2 - 4*l - 22. Let o be r(7). Let x(m) = -m**3 + 2*m**2 - 5*m - 2. What is o*x(g) - 2*t(g)?\nAnswer: 3*g**3 + 3*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3.08 + -0.08. Let o be (-7)\/(42\/9)*-20. Let p = 30 - o. Which is the closest to 0? (a) g (b) p (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 8\/4 + -22 - -3. Let z(t) = -4*t + 7 + 10 - 3*t**2 - 13*t. Let q(j) = j**2 + 6*j - 6. Give b*q(s) - 6*z(s).\nAnswer: s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -87, -662, -1767, -3522, -6047, -9462, -13887, -19442?\n\"Answer: -20*n**3 - 145*n**2 + 78","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 25\/4 of a litre?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bcbbbbcbbbbccb. What is prob of picking 3 c?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -341*s + 122*s + 1998 - 246. Solve -26*c**3 - 14*c**2 + 32\/3*c + s + 2*c**5 - 22\/3*c**4 = 0 for c.\nAnswer: -1, 2\/3, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 12868*t**4 + 1439*t**3 - 287008660*t**2.\nAnswer: 308832*t + 8634","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Product of -339 and 2143013.\nAnswer: -726481407","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (sqrt(891) - (sqrt(891) + 1))**2*-4 + (1 + sqrt(891) + -1)**2 + (sqrt(891) + -2*sqrt(891) - sqrt(891)) + 2 + sqrt(891).\nAnswer: -9*sqrt(11) + 893","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vhvqq. Give prob of sequence hv.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -595555556*x**2 - 131267988*x - 5 wrt x.\nAnswer: -1191111112","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 984 and 3348?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -2.6, 4 in decreasing order.\nAnswer: 4, 1, -2.6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 0.5030679 nanograms?\nAnswer: 0.0000005030679","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*f + f**3 - 2*f**3 + 1 - 7 + 3*f**3 in the form n*f + q + o*f**2 + i*f**3 and give n.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -32573*q - 15209 - 12190 = -31874*q + 28521 for q.\nAnswer: -80","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express -70*h + 139*h - 69*h - 49*h**2 as o + u*h**2 + s*h and give u.\nAnswer: -49","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = 2*u + 1294. Let k(t) = -t. What is b(k(q))?\nAnswer: -2*q + 1294","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 55*h**2 + 8*h**2 + 182*h**2.\nAnswer: 245*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -14\/1287? (a) 4\/25 (b) 2 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1579 and -38492?\nAnswer: 60778868","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -111385\/18 - -6194. Let b = 1159 - 41729\/36. Find the common denominator of b and a.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -1 - -b5?\nAnswer: b4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -20 + (44 - 14 - 0)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (21*-1)\/((-122)\/(112240\/552)).\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w*w**(1\/9)*w*(w*w\/(w*w**(2\/11)\/w))\/w*(w*w**(-1\/3)\/w*w)**(1\/7) assuming w is positive.\nAnswer: w**(2096\/693)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 1588556955 to the power of 1\/3, to the nearest integer?\nAnswer: 1167","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -177 + 289. Suppose -36*n = -1058 - 634. Suppose -p = 43*f - n*f. What is the remainder when f is divided by 8?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -29\/32 (b) 8 (c) 0.473\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1683003*d**2\/2 - 90711390*d - 2444605350 = 0. What is d?\nAnswer: -40370\/749","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*m = 105 - 120, 4*d = -m + 1 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((j*j**(-1))\/(j**(5\/6)\/j))\/(((j*j\/(j*j\/j**(1\/9)*j*j))\/j)\/j**(-6)))**(-1\/41) assuming j is positive.\nAnswer: j**(53\/738)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f + 10 + 14 = 3*c, -4*f = c - 16. Let x be (20\/5 - 4) + f. Calculate the highest common divisor of 6 and x.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -33\/7 (b) 31.869 (c) -1\/10\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -a**3 + 41*a**2 - 63*a - 2. Let p be w(38). What is the units digit of (-12)\/(-30) + p\/10?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12692 = -4260311*u + 4259977*u for u.\nAnswer: -38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 447080 is divided by 43.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Total of 257301 and -3.\nAnswer: 257298","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.84146? (a) -2\/7 (b) 3 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-573*l + 290*l + 288*l)*(0*l**2 - 3*l**2 + l**2).\nAnswer: -10*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 13*a**2*c**3 + 9335*a**2*c + 4*a*c**2 - 46082*c**3 - 16*c**2 wrt a?\nAnswer: 26*a*c**3 + 18670*a*c + 4*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -n + 5*o = 17, -5*o + 4 = -16 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-10)\/(-150) - 522\/580.\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v and 2 f when three letters picked without replacement from fvwwwhhffhwqwf?\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 42896 and 88123704.\nAnswer: 3064","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -1264.52 minus 23920?\nAnswer: -25184.52","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -4*s**2 + 2*s + 5. Let a be x(0). Solve 0*k + a*z = k + 6, 14 = 4*k - z for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + -6 - (-40 + 37).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 10944 smaller than 580043\/53?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -444949802 - -1077027523. Let d = -632077797.0000047 + m. Let u = 76 + d. Round u to 6 dps.\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2841*i + 2930 - 958 = 772*i - 1641 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-8)\/4)\/(15\/((-990)\/(-12))).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 8 and 632.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a + 49582 = -w + 6456, 0 = 3*a + 3*w - 25854. Is 44 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 156295, 156237, 156179, 156121, 156063, 156005?\nAnswer: 155947","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -t**3 + 5*t**2 - 2*t + 5. Let b be q(5). Let y be (b - -6) + 13 + 2. Let o = y - 10. 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 h(n) = 3*n**2 + 4*n + 2. Let s be h(-6). Let u = 81 - s. Let z(g) = -g - 3. Calculate z(u).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 4.615 and -91.018?\nAnswer: 95.633","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 389070 to the power of 1\/3, to the nearest integer?\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 17 - -1?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 146802 to the power of 1\/2, to the nearest integer?\nAnswer: 383","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0 + 2*c + 0 - 4*c + 4*c - 7*c + (2*c - 2*c + c)*(3 - 11 + 5).\nAnswer: -8*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -25 - -25. Solve -4*j - 2*v + 0*v + 18 = b, 0 = 5*j + 5*v - 30 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 45989 to the power of 1\/2, to the nearest integer?\nAnswer: 214","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w + 20 = 0, 5*y + 2*w - 129 = 1893. Let s = 484 - y. Is s a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1450 is divided by 187.\nAnswer: 141","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -q = -3*a - 8, -679*q = 53*a - 683*q + 114 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-234)\/(-52) + ((-6)\/(-4) - 1). Suppose -5*r - 4*l + l = -40, 0 = -b*r - 4*l + 45. What is the second smallest value in 0.1, r, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -23 + 18. Let b be 2 + (-1 - (-1050)\/(-1053)). Let m = 79\/351 - b. Sort m, -3, g in ascending order.\nAnswer: g, -3, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -539 - -4849\/9. What is the second smallest value in n, 1\/3, -0.14, -5?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a - 4*y = 192600, -4*y + 70166 = -5*a + 310914. What is the ten thousands digit of a?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*h**4 - 1972*h**3 + 2*h + 100*h**2 + 3729*h**3 - 98*h**2 in the form z*h**2 + t*h**4 + k*h**3 + d*h + m and give k.\nAnswer: 1757","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + ((sqrt(605) - 4*2*sqrt(605) - -2*sqrt(605)*3)*-2*1 + 4 + -5)**2.\nAnswer: -44*sqrt(5) + 2416","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = k**3 + 8*k**2 + 10*k + 17. Give m(-7).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -38727 = -57*f + 1745772. Is f a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 100821?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1686?\nAnswer: 2, 3, 281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-2 - 1) + (-91)\/(-42). Let i = -6.711 + 6.731. What is the biggest value in i, -1\/3, k?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -257600 - 4480 = -18720*f for f.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12*(-4)\/(-6)*8\/(-16).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.4 (b) -17 (c) 3 (d) 2\/9 (e) 78 (f) 1\/105\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 36984785?\nAnswer: 5, 797, 9281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 83237344?\nAnswer: 2, 2601167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (1 - 1) + 1\/3. Let i = -149 + 153. What is the closest to 2\/7 in w, 0.5, i?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 200071*p**5 + 2*p**3 - 1699729*p**2 wrt p?\nAnswer: 12004260*p**2 + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 9*u - u - 344. Let f = 45 - u. Let d(v) = -3*v**3 - v**2 - 3. Let g(n) = -4*n**3 - 2*n**2 - n - 4. Let a(j) = 3*d(j) - 2*g(j). Determine a(f).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*h = -5*c + 52, 2691*c - 2687*c = -5*h + 45 for c.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -266*x + 2572955 = -61*x. Is x a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2 by -674.\nAnswer: 1\/337","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1195\/3*l**3 + 158802*l**2 - 63520004\/3*l + 63044792\/3 + 1\/3*l**4 = 0. What is l?\nAnswer: 1, 398","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 30\/18 + 12\/9\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -91 = 35*h - 336 for h.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 16396\/3 - 131171\/24. Let o = 5.5 + 0.5. Let h = o - 12. Which is smaller: h or k?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 258384485 divided by 941.\nAnswer: 274585","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = p**2 - 2*p - 2. Let l(u) = -12*u - 4 + u - 3*u**2 + 9*u**2 - 7. Let h(v) = 22*c(v) - 4*l(v). Let g(o) = 2 - 21*o + 26*o - 2. Calculate h(g(a)).\nAnswer: -50*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*f - 4*o + 6, -4*f + 2*o = -f + 12 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from pugugufgwee. What is prob of picking 1 p, 1 f, and 2 g?\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 429 minutes before 1:19 PM?\nAnswer: 6:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor -10*a**2\/11 - 26*a\/11 - 16\/11.\nAnswer: -2*(a + 1)*(5*a + 8)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(10)\/(sqrt(20) - sqrt(5)))**2 - sqrt(2) - -3*sqrt(2)*1.\nAnswer: 2 + 2*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 163, 207, 267, 343, 435?\n\"Answer: 8*j**2 + 20*j + 135","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -100021112 - 2212?\nAnswer: -100101101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:09 AM and 1:09 AM?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3*d**3*q**2 + 2*d**3 - 2*d*q**2 - 11*d*q + 2*q**2 wrt d.\nAnswer: 18*d*q**2 + 12*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 455 - 450. Let m = 1.21 - 0.51. Which is the fourth smallest value? (a) m (b) r (c) -0.2 (d) 2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -a - 1. Let j(t) = -11*t - 2 + 14*t + 4. Determine -j(b) - 2*u(b).\nAnswer: -b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -19308, -19303, -19298?\nAnswer: -19293","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Total of 4230 and -2.\nAnswer: 4228","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*-1*sqrt(88) - (sqrt(88) - (sqrt(88) + (sqrt(88)*-1 + sqrt(88) - sqrt(88))*2)))*4)\/(sqrt(16)\/sqrt(2)*5 - (sqrt(1152) - sqrt(1152)*1 - sqrt(1152))).\nAnswer: -12*sqrt(11)\/17","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 - -1)*(6\/20)\/((-360)\/750)?\nAnswer: -5\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -5*n + 17. Suppose -17 - 8 = -n*p - i, i - 5 = -p. Solve 0 = -p*x + 2*x + 15 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14369 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 7 + -28. Let v = -9 - r. Does 6 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -17 divided by -23078\nAnswer: 17\/23078","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4337064?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 32153 - 32138. Suppose -4*d + 8*v + 261 = 3*v, 2*v - 108 = -2*d. What is the remainder when d is divided by c?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -6118, -24458, -55036, -97858, -152930, -220258, -299848?\n\"Answer: -v**3 - 6113*v**2 + 6*v - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -20 + 30 + 15*j - 4. What is the least common multiple of q(0) and 124?\nAnswer: 372","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 5 - -20. Suppose x = 4*k + k. Suppose 0*i - 21 = -3*i - o, 3*o + 49 = k*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: b\"What is the ath term of 4, 15, 38, 79, 144?\n\"Answer: a**3 + 4*a - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 51 - 26. Suppose 6*h = h + t. Suppose 605 = h*k + 2*m, k - 2*m = 47 + 86. Is k a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-2 + (-4)\/4)\/(-6). Does v = -20?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 13 + 8)*(-3*w - 2*w + 4*w).\nAnswer: 5*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 6 (b) 4 (c) 2\/5 (d) -5\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*i**2 + 16*i**2 + 3*i**2 + (4 - 2 - 4)*(3*i**2 + 0*i**2 - 5*i**2) to y*i + q*i**2 + w and give q.\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -9337, -18793, -28249, -37705?\nAnswer: -47161","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 447 and 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = z**2 + 3*z - 1. Suppose 103 - 23 = 4*x. Suppose k + 13 + 12 = -4*c, x = c - 5*k. Let f be r(c). What is the greatest common factor of f and 36?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 179897 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8197b (base 12) to base 3.\nAnswer: 22120211112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 2075262?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (3 + 1)\/(-4)*-1. Let g(v) = v**2 + 10*v + 11. Let x be g(-9). List the prime factors of 32\/6*(x + z).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -55.22472 + 55.2. What is x rounded to three decimal places?\nAnswer: -0.025","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s - 20 = 4. Let i(j) = 22*j - 5. Is i(s) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -0.4, -0.3, -3\/7, -1.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 3 - 375d21?\nAnswer: -375d1c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express -126*u**2 + 46*u**2 - 95 + 44*u**2 + 32*u**2 - 185 as r*u + o*u**2 + a and give o.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 9566299?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**7\/k)\/(k\/k**7))**(-40)*((k\/(k\/k**(-4))*k)**25)**(-3) assuming k is positive.\nAnswer: k**(-255)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r and 1 y when two letters picked without replacement from rypprprp.\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s + 4*s = 3. Suppose s - 18 = -k. Let y(r) = 4*r + 17. What is the remainder when y(10) is divided by k?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 745, 782, 821, 862, 905, 950?\nAnswer: 997","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*z + 6 = 0, 544*z - 547*z - 5 = -q for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-w**3 + 2 - 2)*(-3 - 1 - 4) + 34*w**3 + 775*w - 775*w to v + i*w**3 + f*w**2 + x*w and give i.\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = 11*t**2 + 67*t - 2. Let z(r) = -19*r**2 - 129*r + 3. What is -7*i(n) - 4*z(n)?\nAnswer: -n**2 + 47*n + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t*t**5)\/t*(t*t**(4\/11))\/t)**(27\/4) assuming t is positive.\nAnswer: t**(1593\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 27 - 25. Suppose -7*x + 9 = -26. Let c(u) = u**2 - 6*u + 7. Let d be c(x). Solve 4*h = 2*b + 4, j*h - 2 = b - d*h for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 l when four letters picked without replacement from llllllul.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = 2*w + 4. Let q(r) be the first derivative of r**5\/60 + r**4\/8 - 4*r**3\/3 + 7. Let k(a) be the third derivative of q(a). Calculate 4*g(p) - 5*k(p).\nAnswer: -2*p + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express -i**2 - 2*i**2 + i**2 + (3 - 3 - 1)*(21*i**2 - 33 + 33) as n*i**2 + h*i + m and give n.\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2545*u**2 - 52*u + 2440*u**2 + 156 - 51*u**4 + 11*u + 165*u**3 + 3*u**5 - 127*u = 0 for u.\nAnswer: -1, 1, 2, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2986, 2987, 2988, 2989, 2990, 2991?\nAnswer: 2992","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 11 - 13. Suppose -10 = h - 5*w, 3*w + 2 - 8 = -2*h. What is the nearest to 2\/15 in n, 0.6, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 33 + 3. Let y = 7311\/266 - -2\/133. Calculate the common denominator of 575\/(-20)*(h\/(-70))\/(-3) and y.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 528 and 432.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 335857 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -5 - -3. What is the units digit of ((-2)\/y - -8) + 0?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w\/(((w**6\/w)\/w*w)\/w))\/((w*w*w\/(w*w**(-1\/15)\/w)*w)\/w) assuming w is positive.\nAnswer: w**(-91\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1621.\nAnswer: 1621","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Work out 13.19 * -1527.\nAnswer: -20141.13","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Add -1414179522.91799 and -0.1.\nAnswer: -1414179523.01799","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 3 + 47 + 4 - 14\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) be the second derivative of -o**5\/90 - o**4\/27 + 4*o**3\/27 + 8*o**2\/9 - 15*o. Solve v(g) = 0.\nAnswer: -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -k**3 - 9*k**2 + 12*k + 17. Let g be i(-10). What is the remainder when g\/((-6)\/86) + -4 is divided by 14?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3134387 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express -g**4 + 0 + 0 + (-9*g**3 - 7*g**3 + 46*g**3)*(g + 2 - 3 - 1) as f*g**2 + q*g**3 + j + c*g + i*g**4 and give i.\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m + w = 5075, 0 = -5*w - 47 + 42. Calculate the least common multiple of m and 564.\nAnswer: 5076","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (12\/(-15))\/(1\/(-5)). Suppose 1612925 = k*p - 787075. Round p to the nearest 100000.\nAnswer: 600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*3*sqrt(12))\/sqrt(4).\nAnswer: 9*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 216756 a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -102, -446, -1106, -2154, -3662?\n\"Answer: -12*h**3 - 86*h**2 - 2*h - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 3609 and 30.\nAnswer: 36090","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from aavddovdvdcggadvvaaa. What is prob of sequence ov?\nAnswer: 1\/76","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -22*0.152\nAnswer: -3.344","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 74099 (base 10) in base 5?\nAnswer: 4332344","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 16\/5 + -17\/5. Which is the biggest value? (a) -1\/8 (b) u (c) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g*g**10\/g*g)\/(g**(1\/4)\/g))**(-27)\/((g**1\/g)**(-31)*(g**(-2\/3))**(-6)) assuming g is positive.\nAnswer: g**(-1285\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6016?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 90.21 + -8.01. Let n = l + -72. Round n to the nearest integer.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 less than 1\/686182?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v + 39 = 4*v. Let l(m) = 50*m**3 + 4*m**2 + 7*m - 6. Let d(z) = -100*z**3 - 9*z**2 - 15*z + 13. Let h(c) = v*l(c) + 6*d(c). Is h(1) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-432)\/192)\/(111\/4588)?\nAnswer: -93","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 544985*p**4 + 180*p + 3636 wrt p.\nAnswer: 6539820*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -4456, -4359, -4266, -4177, -4092, -4011?\n\"Answer: -2*c**2 + 103*c - 4557","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*z**2\/8 - 141724539*z\/8 - 141724533\/4 = 0.\nAnswer: -47241511, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 264 and 11 + (-2415)\/(-65) - (-6)\/(-39)?\nAnswer: 528","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = 3*r**3 + 665*r**2 - 192*r + 6652. Determine p(-222).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (108\/(-10))\/((-2)\/5). Suppose -c = -22 - g. Calculate the remainder when c is divided by 13.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (3 + 1*sqrt(19) - (sqrt(1216)*-2)**2)*4.\nAnswer: -19448 + 4*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 591 minutes after 12:37 AM?\nAnswer: 10:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t - 1053 + 333 = -5*x, 0 = -4*t - 20. Calculate the greatest common factor of x and 210.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0*-5*7\/210?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -83*n**2 - 27*n + 6*n + 21*n - 8246*n**2 to g*n + v + w*n**2 and give v.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*h - 3, c - 4*c - 5*h = 7 - 20 for c.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i*i*i**(-2)\/i*i)**(-4\/13)\/(i**(2\/11)\/i*i**(-1\/2)))\/(((((i*(i\/i**(-12\/5))\/i)\/i)\/i)\/i)\/(i\/i**(-2\/27)))**30 assuming i is positive.\nAnswer: i**(4265\/198)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 1 - 460*a + 2077*a.\nAnswer: 1617*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find m such that -3*m**3\/7 - 300*m**2\/7 + 612*m\/7 = 0.\nAnswer: -102, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 43 divide (40\/(-15)*-3 - 7)*(-13502)\/(-2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 28 by -4.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 198\/2 + 7 + -11 is divided by 30.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 + -2 - (-1 + 4).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = 17*m**2 - 186*m + 344. Let u(l) = -3*l**2 + 37*l - 69. Let i(d) = 11*u(d) + 2*z(d). Let v be i(-37). Solve 9*j - v = 10*j for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 962232?\nAnswer: 2, 3, 40093","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4, -27, -50, -73, -96?\nAnswer: -119","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0 + 1. Let p = 0.05 + 0.75. Let c = p - t. What is c rounded to 0 dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8557 = -f - 2*o + 8551, -20 = -8*f + o for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/(-1) + 1*(-199)\/(-22) + 5664\/(-708)?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) be the third derivative of -m**5\/60 + 2*m**2 - 2*m. Let a(s) be the third derivative of -s**4\/8 - s**2. Calculate d(a(n)).\nAnswer: -9*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p + f - 218 = 0, 0*f + 5*f - 202 = -p. What is the units digit of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine t, given that t**4\/4 - 4353*t**3\/2 + 4745848*t**2 - 75685647*t\/2 + 132396607\/4 = 0.\nAnswer: 1, 7, 4349","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2 + 1 - (-1 - 16). Let l(x) = x**2 - 15*x + 84. Let w be l(16). What is the greatest common divisor of z and w?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = i**3 + 4*i**2 + 3*i - 3. Let d be v(-3). Let q = 0 - d. Suppose q*g + 2*s - 889 = 7*s, -5*s - 303 = -g. Is g a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1 + 64*a**2 - 57*a**2 + 1 - 1 + (a + 4*a + 5*a)*(2 - 2 + 2*a).\nAnswer: 27*a**2 - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 504 and 40.\nAnswer: 2520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 761 + -1587\/2. Let r = -32 - k. Which is the fourth smallest value? (a) -1\/2 (b) -3\/8 (c) -0.4 (d) r\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1070.39591 - -970.\nAnswer: -100.39591","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 808*l**3 + 127*l**2 - 2*l + 809*l**3 - 3 - 2*l - 1616*l**3 to i*l + u + n*l**3 + s*l**2 and give u.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -10*i**3*r**3 + i**3*r**2 - 2129*i**3*r - 137*i**2*r**3 - 3*i**2*r + 8*i**2 - 2*i*r wrt i.\nAnswer: -60*r**3 + 6*r**2 - 12774*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*o - o - 64 = 2*q, 8*q + 4*q + o = 7*q - 204 for q.\nAnswer: -40","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 67*(-2)\/(-1)*(-10016)\/(-1878)*3\/32\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 324579 is divided by 1155?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1140429 divided by -4.\nAnswer: 1140429\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*w - 4*j + 121, 6*w = 7*w + j - 24. What is the tens digit of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.8 and -0.05.\nAnswer: -0.04","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3388051 to the nearest integer?\nAnswer: 150","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 2153119 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 - 9 + 5)*(4*o - 3*o + o) - 6*o + 17 - 17 to m*o + g and give m.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = 2*h**3 + 31*h**2 - 21*h - 76. Let v be b(-16). Solve v*f - 4 = -2*c - 14, -4*c + f = 2 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1\/4459 + -111343\/588588. Which is smaller: n or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-40)\/4*(-6)\/36*-3?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1540 + -1547. What is the nearest to s in 0, -11, 5?\nAnswer: -11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*g - 17 + 2. Suppose 2*a + a + g*c = 143, 2*a - 74 = 2*c. List the prime factors of a.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 877.6 in 1\/7, 3, 91\/4?\nAnswer: 91\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 1, r: 1, q: 1, e: 1, l: 1}. Give prob of sequence qer.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -5*z - 32. Let q(o) = -5*o - 8. Let w(p) = -4*p - 7. Let c(d) = 5*q(d) - 6*w(d). Let b be c(1). Sort z, b, -5 in decreasing order.\nAnswer: b, z, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4555480561.\nAnswer: 4555480561","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*m**5 + 8*m**3 - 8*m**3 + (2 - 2 + 5*m**2)*(7*m**3 - 6*m**3 + 3*m**3).\nAnswer: 22*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28 + 96 = n + 3*k, -262 = -4*n - 2*k. Calculate the remainder when 194 is divided by n.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 + 2 - (0 + (-3 - 2))\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 14147974?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -u - 57 = -4*m, -m - 5*m + 10*m = -4*u + 72 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 104976, 209949, 314920, 419889, 524856?\n\"Answer: -z**2 + 104976*z + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*d = -6*d - 44 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -c**3*p - 427*c**2*p + 3*c*p + p + 3 wrt c?\nAnswer: -6*c*p - 854*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 62164 to the nearest integer?\nAnswer: 249","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:19 AM and 8:47 AM?\nAnswer: 508","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert -7 (base 13) to base 6.\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 7310039 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*a**5 + 471576*a**4 + 13914077476*a**3 + 889052801280*a**2 + 14217122713600*a.\nAnswer: 4*a*(a + 32)**2*(a + 58915)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.11, 116, -0.1, -25\/2, 6?\nAnswer: -25\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -172 divided by 1191.\nAnswer: -172\/1191","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 minus 16363?\nAnswer: -16366","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 176 minutes after 1:07 AM?\nAnswer: 4:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = p + 6. Let h be q(6). Suppose w = -3 + h. Let o(i) = 9*i**2. Let k be o(-2). Calculate the greatest common divisor of k and w.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 820568633 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 1719917 to the power of 1\/6, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 1514.2 rounded to the nearest ten?\nAnswer: 1510","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 181999 and 16100253.\nAnswer: 4439","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express (-9 + 14 + 13)*(-4*z + 2*z + 5*z)*(4 - 6 + 4) in the form h*z + c and give h.\nAnswer: 108","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g = 325 - 94. Let j = 36 - g. Let p = -121\/3 - j. Which is the closest to -1? (a) -4 (b) -18 (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 26\/7 of a week in minutes?\nAnswer: 37440","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 6466717 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*p**3\/11 - 4*p**2 + 250*p\/11 + 1092\/11.\nAnswer: -2*(p - 7)*(p + 3)*(p + 26)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 34776?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 66.7494ml in litres?\nAnswer: 0.0667494","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 844600 divided by 5.\nAnswer: 168920","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: de86 (base 15) to base 14\nAnswer: 1327d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -z + 4*z - 3*a - 24, -3*z + 28 = -4*a. Suppose 3*l - z = l. Suppose 4*y = -12, 4*y = -l*i - 3*i + 8. What are the prime factors of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 51 and 5811297.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -6*t**3 + 68*t**2 + 20*t - 7. Let q(k) = 5*k**3 - 69*k**2 - 15*k + 5. Give 4*q(n) + 3*z(n).\nAnswer: 2*n**3 - 72*n**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 1053725033 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find q, given that -3*q**2\/2 + 213828*q - 427650 = 0.\nAnswer: 2, 142550","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 92\/3 + (-12)\/18. Find the common denominator of (-1*(-1)\/(-24))\/(a\/(-3320)) and -75\/16.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -47856 divided by -121.\nAnswer: 47856\/121","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1610 and 668610.\nAnswer: 4680270","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Divide 126720 by 60.\nAnswer: 2112","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -9*a**2 - 4*a - 2. Let v(b) be the second derivative of 3*b**4\/4 + 5*b**3\/6 + b**2 - 3129*b. What is -3*n(z) - 2*v(z)?\nAnswer: 9*z**2 + 2*z + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1\/2 (b) 1 (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 435030936 and 31.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m + 47 = -63. Which is smaller: -111 or m?\nAnswer: -111","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 8*a**2 + 33803*a*k**3 - 5*k**3 + 41*k**2 - k - 292 wrt a.\nAnswer: 16*a + 33803*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 1d94095d + 4?\nAnswer: 1d940963","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = 5145*d**3 + 4*d - 7*d**2 + 5177*d**3 + 12 - 10321*d**3. What is t(7)?\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find s such that s**5\/12 - 3*s**4\/4 + 4*s**3\/3 + 2*s**2 - 20*s\/3 + 4 = 0.\nAnswer: -2, 1, 2, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let -13*m**5\/5 - 23457*m**4\/10 - 25603*m**3\/5 + 42414*m**2\/5 + 20524*m + 3600 = 0. What is m?\nAnswer: -900, -2, -5\/26, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 198711?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 31 divide 3689?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) be the first derivative of -3\/4*u**4 + 0*u + 6 + 3\/5*u**5 - u**3 + 3\/2*u**2. Find r such that a(r) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = f**3 - 22*f**2 + 20*f + 17. Determine k(21).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -2\/5, 15, 772, 0.5, 44?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 71 divide 1633?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 24750 divided by 66\nAnswer: 375","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*k = -3*f + 9, 4*f = k + 250 - 235 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-6 + (-36)\/6)*(-10)\/(-4). What is the tens digit of (1753\/9 - v\/135) + 0?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:54 AM and 9:03 AM?\nAnswer: 249","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1 - 0.7. Let h = -77712\/95 + 818. Let z = h + 8\/19. Sort z, l, -2\/11 in increasing order.\nAnswer: -2\/11, l, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*y + 3*y = -5 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -1684.58565 to the nearest 100.\nAnswer: -1700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = 4*h**3 - 8*h**2 - 2*h - 6. Let a(u) = u**3 - u**2 + u - 1. Let b(v) = -3*a(v) + c(v). Calculate b(6).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 = 2*v + 3*p, -3*p = -7 + 1. Calculate the common denominator of 85\/18 and 2893\/(-1122) - 2\/v.\nAnswer: 306","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 72 and 80.\nAnswer: 720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**9*j*j**(10\/7)\/j*j*j**(7\/6)*j**(3\/11))**(-10\/13))**(-2\/9) assuming j is positive.\nAnswer: j**(59450\/27027)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -18*j + 6*j - 16*j - 10 + 25*j. What is q(-1)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2.7 - -1.5. Let l = o - -1.269. Round l to two dps.\nAnswer: 0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -336 - -330. List the prime factors of v + -7 + 13 - -693.\nAnswer: 3, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -23, -46, -69?\nAnswer: -92","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -33*h + 19. What are the prime factors of u(-6)?\nAnswer: 7, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(-5*(0 + sqrt(5445))**2 + 0 + sqrt(45) + -2 + sqrt(180)\/sqrt(4) + 2).\nAnswer: -6*sqrt(5) + 27225","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3915635718.\nAnswer: 2, 3, 5119, 127487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) be the first derivative of 7\/2*l**2 - 2*l + 5\/6*l**3 - 5 - l**5 - 71\/16*l**4 + 25\/24*l**6. Solve n(b) = 0.\nAnswer: -1, 2\/5, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -67*a**2 + 2. Let m(q) = 9*q**2 + 12. Suppose -26 - 24 = 5*h - 5*u, u = 4. Let p(d) = 2*d**2 + 2. Let c(y) = h*p(y) + m(y). What is i(c(z))?\nAnswer: -603*z**4 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lil when three letters picked without replacement from iglilgiill?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*y - 3210 = 4*k - 3254, -18*y + 2*k = -23*y + 52 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -4.16 + -0.84. Which is the biggest value? (a) r (b) -2 (c) 5\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j = -25*j - 20*j. What is the smallest value in j, 2, 1, 1\/66?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w = -10*w. Let c = 172 - 186. Let y be (-50)\/(-15) + c\/(-21). Solve y*v + w = 4 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 17142030 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5*-1*(2*(sqrt(204)*3 - sqrt(204)) - sqrt(204)))\/(-3*sqrt(300)*2*-5))**2.\nAnswer: 17\/100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -12 + 14.2. Let t = -2.29350075 - -0.09350655. Let s = t + x. What is s rounded to 6 decimal places?\nAnswer: 0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -77*g**2 + 20*g + 1 wrt g.\nAnswer: -154","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -v**3 - 15*v**2 - 12*v + 32. Suppose -58 = 4*s - 2. Let m be l(s). Solve 2*t + 3*x = m, t + 1 = -3*x - 0 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor p**2 + 2043*p - 2044.\nAnswer: (p - 1)*(p + 2044)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 817207.083s in weeks?\nAnswer: 1.3512021875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -123 + 122. Let x be (n\/9 + (-5)\/36)\/(-2). What is the nearest to 1 in x, 2, 10?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 2265\/(-40) - (-3)\/(-8). Let o = 63 + a. What is the remainder when 16 is divided by o?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*a - 8*p = -4*p - 10, -5*p = 4*a - 17 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Product of 26 and -0.82.\nAnswer: -21.32","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -6 and -34758.9.\nAnswer: 208553.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 68273 to the power of 1\/2, to the nearest integer?\nAnswer: 261","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 32 and 7572?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -l**3 - 113053*l**2 + 226109*l - 113055.\nAnswer: -(l - 1)**2*(l + 113055)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:20 AM and 6:08 PM?\nAnswer: 588","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ndx when three letters picked without replacement from {n: 2, d: 2, t: 1, j: 1, x: 2}.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 60970 is divided by 1206?\nAnswer: 670","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -1\/5, -0.06, 2\/7 in decreasing order.\nAnswer: 2\/7, -0.06, -1\/5, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 2, f: 4, i: 1, e: 2}. Give prob of picking 1 e, 1 i, and 1 f.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) be the third derivative of x**4\/24 + 7*x**3\/3 - 3*x**2. What are the prime factors of g(-8)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13660 + 67*v**2 - 49*v**2 + 175*v**2 - 13659.\nAnswer: 193*v**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = 2*h + 4. Let f be a(9). Suppose -y + 5 = 5*b, -4*y + 3*b + 70 = -2*b. Calculate the common denominator of -71\/10 and (f\/10)\/(0 - (-18)\/y).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 55775 is divided by 546.\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -p + 8*p**2 + 2*p**3 - 8*p**2 to i*p + s*p**2 + n*p**3 + m and give s.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: (6 - 5)\/(2\/(-4))\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 48693?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -37 + 146. Let j = 171 - z. What is the tens digit of j?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 41 + 1874*j - 1673*j - 45.\nAnswer: 201*j - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 6270 a factor of 1260765330?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/1*338\/(-52)?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 65 - 67. Is r + 2 - 0 - -479 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m**1\/((m*m*m**(-17))\/m*m) assuming m is positive.\nAnswer: m**16","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 1315 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3875 is divided by 255.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 34 - 34. Let -1\/2*z + 1\/4*z**2 + p = 0. Calculate z.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 1654, 6570, 14736, 26128, 40722, 58494, 79420, 103476?\n\"Answer: -4*o**3 + 1649*o**2 - 3*o + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Add 385.5 and 6.\nAnswer: 391.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 109 + -68. Let i(o) = o**3 + 2*o**2 - o + 2. Let r be i(-4). Let b = r + z. Is 10 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.02 - 0.03. Let p = -0.21 - w. Let m = -6 - -5. Which is smaller: m or p?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -31 + (8 - (-4 + -3)) + -3.\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -32b6f + -17?\nAnswer: -32b86","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 3, v: 3, i: 7, s: 2, g: 5}. What is prob of sequence lgi?\nAnswer: 7\/456","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 3881419 < 34.9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 4\/30*165\/(-110)\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*r - 8, -r = 3*b - 4 + 6. Suppose 5*v - v - 36 = b. What is the remainder when 43 is divided by v?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1392 + 3003. Suppose -o = -3*z + 924 + c, 0 = 4*z - 4*o - 3372. Is z a multiple of 94?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 = 5*h + 2*h. Suppose 3*x - 3*g = h*g + 20, -4*x = 4*g + 16. Is x*(12\/4 - 2) - -2029 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-31 + 31 + 29*k**2)*(-26 + 75 + 326).\nAnswer: 10875*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2384220502?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 137*u - 290 = 108*u for u.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2639 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -135 + 164. What is the remainder when 112 is divided by s?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -95.49 - -95. Let h = 0.48 + x. Let o = -0.00989 - h. Round o to 4 dps.\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 101011 + 100111001011101000?\nAnswer: 100111001100010011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = d**2 - 3*d + 7. Let w be b(8). Suppose -5*n - 5*v = -255, 2*v - 208 = -5*n + w. Is n composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5199948?\nAnswer: 2, 3, 13, 41, 271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 21787*q**3 + 798006*q**3 + 1296911*q**3 + 114329*q**3 - 129000*q**3.\nAnswer: 2102033*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 10697\/2 - 5349. Which is the nearest to f? (a) -2\/9 (b) -0.3 (c) -2 (d) 1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1*(12 - (4 - (2 - 1))). Solve -2*w = 5*u - p, u = w - 4*w - 6 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(sqrt(50) + (sqrt(100)\/sqrt(2))**2 + 4 + sqrt(100)\/(sqrt(8)\/sqrt(4))).\nAnswer: 40*sqrt(2) + 216","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2\/(-4) + -1 + 1. Let z = 9 - 105. Let g = -96 - z. Which is bigger: i or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -209.2 + 400.3. Let h = 21.9 + j. Let i = 214.81 - h. What is i rounded to one decimal place?\nAnswer: 1.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 31 is divided by 15?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in w**2 - w**2 + 136*w - 1093*w**3 + 2304*w**3 - 135*w - 1176*w**3.\nAnswer: 35*w**3 + w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 34560 and 600048?\nAnswer: 432","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -283*p**2 - 265*p**2 - 262*p**2 - 279*p**2 + 1342*p**2 - 282*p**2.\nAnswer: -29*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = t**3 + 16*t**2 + 73*t + 687. Suppose 2*d + q + 5 + 3 = 0, d + 4 = 5*q. Calculate the remainder when n(-14) is divided by (-38)\/(2 + d) + -2.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 1952*h - 2118*h - 459 - 2031 for h.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*-1*sqrt(2) - sqrt(6)\/(sqrt(3)*-2).\nAnswer: 3*sqrt(2)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 83 or -39?\nAnswer: 83","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 1179, -1, -15, -2, -20 in decreasing order.\nAnswer: 1179, -1, -2, -4, -15, -20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2449424?\nAnswer: 2, 153089","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -48\/13 (b) 0.069 (c) 2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2 - -4. Let q = u - 1.7. Let j = -5 + 2. Which is the closest to 1\/4? (a) 3 (b) q (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.16 - 0.1. Let f = 0.04 + m. Is 4\/3 less than f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 140 = -28581*m + 28576*m for m.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.3? (a) 799.27 (b) 1\/4 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -7*o**2 + 2*o + 8. Let x(r) = -r**2 + r + 1. Let m(a) = -d(a) + 6*x(a). Let v be m(-5). Solve -3*w = -v - 0 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -11*y**2 - 9*y + 5. Let f(t) = 5*t**2 + 4*t - 2. Suppose 4*r + 9 + 3 = 0. Suppose 0 = -h - 2*h - 21. What is h*f(o) + r*l(o)?\nAnswer: -2*o**2 - o - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = 13*o - 11. Let m be v(-3). Let b = m + 115. What is the units digit of b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -14 - -21. Suppose 3 = k + 3*s + 8, 2*s = 3*k - r. Let x be ((-12)\/8)\/((-9)\/30). Calculate the highest common factor of k and x.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**8\/u)\/u*u**(-3\/8))**16 assuming u is positive.\nAnswer: u**90","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 11, 2\/5, 55\/4 in descending order.\nAnswer: 55\/4, 11, 2\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3525 (base 6) to base 7.\nAnswer: 2315","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -2*x + 50. Let u be h(23). Suppose 95 = u*t - 229. Is 9 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -2*d**2 + 13*d + 12. Calculate v(8).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 740 divided by 3\nAnswer: 740\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 168 + -70 + -1 + 2?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 234 divide 16764?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -10895 and -63.\nAnswer: 686385","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence us when two letters picked without replacement from {e: 1, s: 4, u: 6}.\nAnswer: 12\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 != -1\/20556288?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = 25*w**2 + 7*w + 24. What is the tens digit of h(12)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -6.4726606 and -0.1.\nAnswer: 0.64726606","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -542, 1, 445, -1, -5, -3, 3 in increasing order.\nAnswer: -542, -5, -3, -1, 1, 3, 445","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: Calculate 1393751 divided by -2.\nAnswer: -1393751\/2","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: -139 divided by 5\nAnswer: -139\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 36395319?\nAnswer: 3, 29, 418337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -21 + j + 2*j - j + 7*j. Suppose -92 = -4*y + 16. Calculate the remainder when q(8) is divided by y.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -585 - -587. Solve -2*j - n*k + 10 = 0, k - 6 = 4*j - 21 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) be the first derivative of -3*u**4\/4 + u**3\/3 + u + 3454. Let b(w) = 7*w**3 - 2*w**2 - 2. Suppose 2*i - 8 = -0. Calculate i*b(c) + 9*l(c).\nAnswer: c**3 + c**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = 4*i**2 + 2*i - 6. Let a(n) = 4*n**2 + n - 5. Let v(k) = -7*a(k) + 6*g(k). Let v(x) = 0. Calculate x.\nAnswer: 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 30750 and 60?\nAnswer: 61500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10401*c + 31173*c - 10387*c - 10383*c - 22.\nAnswer: 2*c - 22","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 603.\nAnswer: 3, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide -15 by -5.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-1582)\/(-330))\/(-7) + 1. Let t = h - 2\/15. Put 3, 0.3, t in descending order.\nAnswer: 3, 0.3, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(121) - 6*(sqrt(121) - (sqrt(121) - -2*sqrt(121)))) + sqrt(121))\/sqrt(11) + 3*(sqrt(44) - sqrt(11)) + -5 + sqrt(44)\/sqrt(4).\nAnswer: -5 + 18*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (5 - 6) + (2 - -3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 132 a factor of 113256?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 28\/1935 and -14\/45?\nAnswer: 1935","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-3 - -1)\/2*-3. Suppose -4*u - 4*u = -352. Find the third derivative of 8*f**2 + 41*f**3 - 3*f**2 - u*f**r wrt f.\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -4 + j**2 + 8 + 2*j**2 + 8 as c + t*j + u*j**2 and give u.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 171, 485, 1179, 2391, 4259, 6921, 10515?\nAnswer: 15179","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 53317?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x + 4 = 5*a, -4*x - 2*a + 16 = a. Let g = 1 + 9. What is the least common multiple of g and x?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) be the second derivative of 436*u**6\/15 + 1109*u**4\/12 - 717*u. Find the third derivative of t(l) wrt l.\nAnswer: 20928*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-g**2 + 18 - 18)*(g + 5*g - 4*g) + 3*g**3 + 0*g**2 + 0*g**2 + 2*g**2 - 7*g**2 + 13*g**3 + 3*g**2 to the form i*g + l + o*g**3 + u*g**2 and give o.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k - 4*k = -90. Let c be ((-10)\/k)\/(2\/6). Let f be c\/(-3)*(1 - 0). Which is smaller: f or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -357*l - 3149. Give b(-9).\nAnswer: 64","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*w - 17 + 17)*(-3*w**3 - 13*w**3 + 7*w**3 + (2*w + 4*w - 7*w)*(5*w - 5*w - 2*w**2)).\nAnswer: -35*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = r**2 + 618*r + 9698. Determine d(-16).\nAnswer: 66","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Work out -285890753 - -3.4.\nAnswer: -285890749.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide -457 by 150.\nAnswer: -457\/150","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -10093 + 6932. Let d = g + 11824. Is d prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 838 and 1934.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: Solve -23 = 4*v + 6*s - 7*s, 5*v + s + 22 = 0 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -1405301100 to the nearest one million.\nAnswer: -1405000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 15190813 to the nearest integer?\nAnswer: 3898","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -482 + 861. Is c a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*f - 5000 = -26*f. Let m = 1251\/2 - f. What is the second biggest value in -22, m, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-9)\/9 - 7*-2. What is the greatest common factor of z and 39?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) be the third derivative of 2\/105*l**7 + 0 + 0*l**5 + 0*l**4 - 12*l**2 + 0*l**6 + 0*l + 13\/6*l**3. Differentiate q(z) with respect to z.\nAnswer: 16*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-10)\/(-195)*3 + 10463\/13. Suppose 10*c + o = 3*c. Let x = 210 + c. What are the prime factors of x?\nAnswer: 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4040992034 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (sqrt(176)*-4 + 2 + sqrt(44)\/sqrt(4) - (3 + sqrt(110)\/(sqrt(10)*2)))**2*-1.\nAnswer: -10571\/4 - 31*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = 1347*s**2 - 2692*s**2 + 7*s + 11 + 1344*s**2. Calculate n(8).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -n**3 + 35*n**2 - 78*n + 67. Give o(32).\nAnswer: 643","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -255*c**5 + 489*c**4 + 201*c**3 - 489*c**2 + 54*c = 0 for c.\nAnswer: -1, 0, 2\/17, 1, 9\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (1\/10*-16 + 1)\/((-6)\/360). Calculate the greatest common factor of j and 2286.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1080*z + 9 = 1077*z, k - 4*z = -6*k - 0*k + 33 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2842 + -1732. Is 111 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**5*c**8)\/(c\/(c\/(c*c*c**(-3\/4))))**(-18\/11) assuming c is positive.\nAnswer: c**(331\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 61450719.\nAnswer: 3, 11, 389, 4787","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 151497, -8, 2\/7?\nAnswer: 151497","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = s**2. Let t = -10 - -16. Suppose -3*a = -2*l - 11, 2*a - 4*a = -2*l - t. Let j(o) = 4*o**2 - 4*o**l - 2*o**2. Determine j(c(r)).\nAnswer: -2*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7890 = 8*j - 7802. Let y be (1\/1 - -3) + 2. Let l = y - 16. Which is bigger: j or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 72\/5 of a minute in seconds?\nAnswer: 864","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 47\/4 of a microgram in nanograms?\nAnswer: 11750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 4 + 1)*(b**3 - 4*b**3 + 2*b**3 + 3*b**2).\nAnswer: 3*b**3 - 9*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 1506 times -2?\nAnswer: -3012","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -6*f**2 - 36*f - 51. Let v be y(-7). Let t be v\/217 - (0 + 33\/21). Let m(x) = -2*x + 6*x + 6 - 3. What is m(t)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -44006424.4 + -55495.5.\nAnswer: -44061919.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -d - 15*c + 11*c + 827, 2*c + 3380 = 4*d. What are the prime factors of d?\nAnswer: 3, 281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1923 and 33?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -9.3 + 7.3. Suppose -4*t = -g + 2, 3*g + 3 = -3. Which is the third biggest value? (a) 1 (b) x (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -10191, -10120, -10037, -9936, -9811, -9656?\nAnswer: -9465","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.2 and 1041.\nAnswer: -208.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -24*f**4 + 878*f**2 + 22*f - 742 wrt f?\nAnswer: -288*f**2 + 1756","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 8300*d**5*q + 13*d**2*q - 1253*d*q - 66*d + 1 wrt d.\nAnswer: 166000*d**3*q + 26*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 11300\/7 + -1614. Which is greater: v or 1552?\nAnswer: 1552","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uv when two letters picked without replacement from dpuhv.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 - 1 + 0)*(0*x**3 + 0*x**3 + 2*x**3)*(-5 + 5 + 7*x + (-3 + 1 - 1)*(4*x - 2*x - x)) to z*x**4 + p + q*x + w*x**2 + b*x**3 and give b.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l**25*(l**8\/l)\/l assuming l is positive.\nAnswer: l**31","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 12979294 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Do 93457\/8 and 129 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange g + 8 + 11 + 1 - 6 + g to d*g + r and give d.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -78447, -78443, -78439, -78435, -78431, -78427?\n\"Answer: 4*r - 78451","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i**3 - 116*i**2 - 572*i - 460 = 0. What is i?\nAnswer: -23, -5, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -6458 + 13520. Is z a multiple of 107?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 255 minutes before 5:17 PM?\nAnswer: 1:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 25271232331 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -6*l. Let b be (-2)\/(4 + (-1 - 2)). Let w be (-96)\/(-54) + b\/(-9). What is z(w)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 254008?\nAnswer: 2, 31751","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = v - 11. Let s(k) = -k + 6. Give -4*j(u) - 7*s(u).\nAnswer: 3*u + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*z**3 - 11598*z**2 + 16819998*z - 16808402 = 0. What is z?\nAnswer: 1, 2899","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*((2*sqrt(1053) - (0 + sqrt(52)\/sqrt(4))) + sqrt(39)\/(sqrt(441)\/sqrt(3))).\nAnswer: 240*sqrt(13)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 take away -25260162?\nAnswer: 25260166","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 100 divide 310900?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Do -19064 and -667192\/35 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -o**3 - 9*o**2 + 7*o - 9. Give u(-9).\nAnswer: -72","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 12\/14*23254\/298980?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.3*13218.\nAnswer: 3965.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 214375585 to the power of 1\/5, to the nearest integer?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -167*c + 2*c - 8*c - 2275 = -82*c for c.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -3e6 (base 15) in base 7?\nAnswer: -2412","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 822*v**4 - 148*v**3 - 51721*v**2 + 2*v?\nAnswer: 19728*v - 888","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 1*-1 - (-6)\/4. Let a be 6\/(-9) - (-2 + 1). Let s = 0.87 - -0.13. What is the nearest to b in -0.3, a, s?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2 + 2 - 32*x**4 + (3 + 3*x - 3)*(-4*x**3 + 4*x**3 + x**3) + 3*x**4 + 5*x**3 + 3 - 5*x**3.\nAnswer: -26*x**4 + 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 5a5367 (base 12) to base 16\nAnswer: 1649bf","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 2, n: 1, g: 1, z: 2, l: 4, f: 2}. Give prob of sequence llz.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o - 2*y + 4 = 3*o, -2*o + 6 = 3*y. Solve 4*b = -x - 25, -4*b - 2*x + 5*x - 5 = o for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -453*h + 3 = -454*h for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f = 4*f + 40. Let s = -4 - -2. Let m = -3014 - -3016. Which is the closest to s? (a) m (b) f (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3249, 8, 2, -17 in decreasing order.\nAnswer: 8, 2, -17, -3249","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -21*y**2 - 2*y - 2. Let x(r) = 23*r**2 + 2*r + 3. Give -3*l(f) - 2*x(f).\nAnswer: 17*f**2 + 2*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3534942 is divided by 1376?\nAnswer: 1374","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = o**2. Suppose a + 0*a + 4*z + 25 = 0, 0 = 4*a + 3*z + 61. Let p be a\/(((-8)\/2)\/4). Let n(b) = 8*b**2 - p*b**2 + b**2. Calculate u(n(l)).\nAnswer: 16*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) -0.3 (b) 305260 (c) 0.3 (d) 6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:55 PM and 11:51 PM?\nAnswer: 416","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) be the first derivative of -3*o**3 - o**2 + 8. Find the second derivative of x(v) wrt v.\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 841236 at least as big as 0.14?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:24 PM and 12:05 AM?\nAnswer: 41","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 + 1 + 3)*(-2488*h + 185*h**3 + 2488*h) to the form y*h + w*h**2 + f*h**3 + d and give f.\nAnswer: 185","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express (-167 + 527 + 3848 + 903)*(-2*a + 2*a - 2*a) in the form h*a + n and give h.\nAnswer: -10222","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-125)\/(-40))\/(409\/9816).\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xxw when three letters picked without replacement from xwhwcwdwfhxwddhdx?\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o = -3*v + 6, o + 0 = v - 2. Factor 8*i + 3*i**2 - 6*i**v + 5*i**2 + 8.\nAnswer: 2*(i + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j + 12 = 5*m, m - 5*m = 5*j + 2. Let f be ((-38)\/(-8))\/(m\/8). Let o = 30 - f. Is o a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -x**3 - 4*x**2 - 2*x. Let s = 7 - 5. Let p = -1 - s. What is o(p)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) be the first derivative of -2*a**3 + 14851. Let t(u) be the first derivative of 10*u**3\/3 - 2. What is b(t(d))?\nAnswer: -600*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1087?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 2 (b) -2\/1329 (c) -14 (d) 0.31 (e) 0.03\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-1)\/2)\/((-84)\/(-152)). Let a = y - -4\/7. Let t = 4 + -3. What is the third biggest value in -3, a, t?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i + 56 - 10 = 0. Let o = i - -21. What is the units digit of (5 + o - 2) + 0?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -188 in -2\/15, 0.0421756, -0.1, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 647 minutes before 8:17 PM?\nAnswer: 9:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1025 - 21?\nAnswer: 1004","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27*a - 21*a + 316 = -37*a - 372 for a.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -20*l - 5. Let p = -3 + 5. Suppose 0 = p*z - z + 6. Is d(z) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.5 in -0.4, 1\/9, -2\/145?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2147\/830 + -26\/83. Let k = -34\/7 + -152\/35. Calculate the common denominator of k and o.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1 (b) 77 (c) -57\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 195*l - 460*l - 139*l + 209*l + 201*l.\nAnswer: 6*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 124, 256, 378, 484, 568, 624, 646?\nAnswer: 628","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 24131399 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -8 + 7.96. Let j = 0.16 - w. Let z = -12.5 + 12.6. Which is the closest to 1\/3? (a) j (b) 1\/7 (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-1)\/m)**(-1\/3)\/(m*m*m*(m**(-1\/2)\/m)\/m*m*m**(-2\/23)\/m)*((m\/(m*m**(1\/2)))**(2\/17))**(-15) assuming m is positive.\nAnswer: m**(2665\/2346)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -504*o*q**4 - 3*o*q - 17*q**2 - 4 wrt q.\nAnswer: -12096*o*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xxms when four letters picked without replacement from myxwsyrwmmxrsm?\nAnswer: 2\/3003","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1025\/(-246)*(-1)\/5?\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = z**3 + 18*z**2 - z - 12. Let r be l(-18). Does 21 divide (-162)\/4*(-12)\/r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-j + 3*j + j)*(-2*j + 4*j + 0*j) - 4*j**2 - 5*j + 5*j + (2*j + 2*j - 6*j)*(j + 0*j + 0*j) + 0*j**2 - 26*j**2 - 2 + 5*j**2.\nAnswer: -21*j**2 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = h - 2*f, 4 = 4*h + 5*f + 12. Suppose j + h*j = -8. Let g(b) = -2*b**2 - b + 1. Calculate g(j).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*c = -6*c - 722. Let d = c + -132. Suppose -4*u + 3 = -u, -4*k = u - d. Is 19 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -3*n + 2*f - 0, -5*n + 4*f = -5. Let l(j) = 3*j**2 + j - 6. Let i be l(n). Calculate the greatest common factor of i and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) be the second derivative of 229*b**7\/42 + 3*b**5\/20 + 67*b**3\/2 + 1036*b. What is the second derivative of l(f) wrt f?\nAnswer: 4580*f**3 + 18*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 smaller than -4\/91685259?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 6817 or 102254\/15?\nAnswer: 102254\/15","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -4 + 4. Suppose 4*o + v = 16. Solve b + t = 4, -16 = 2*b - b - o*t for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 5 - 5)*(-95*x - 21*x - 30*x + (-2 + 0 + 3)*(6*x - 4*x + 0*x)).\nAnswer: 144*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mxxomxmm. Give prob of sequence mmom.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q + 3*z - 1 = -0*q, 9 = -5*q - z. Let p(f) = -f**2 - 5*f. Let i be p(-4). Which is the closest to 0? (a) q (b) -0.1 (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1015*p**2*s**2 + 21*p**2 + 38908*p*s**2 - 7614*p - 3*s**2 - 34 with respect to s.\nAnswer: 2030*p**2*s + 77816*p*s - 6*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/7? (a) -3 (b) -2\/3 (c) -15 (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s + 85 + 292 = -3*t, -3*s + 4*t = 608. Let h = s - -315. Is h composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-1 - -2)\/((-1)\/(-8)). Let w = 15 - 7. Calculate the highest common factor of i and w.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 106277323 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7*p**3 - 8*p**3 - 8*p**3)*(5 - 2 + 2)*(-325 - 642 + 34).\nAnswer: 41985*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.2 and -2006957.578247.\nAnswer: -2006957.778247","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -1 + (-2)\/(-5) + 7\/35. Let t(r) = -4*r - 33. Let l be t(-15). Suppose -l = 8*m + m. Put m, y, 0.3 in decreasing order.\nAnswer: 0.3, y, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0 (b) -1 (c) 25 (d) 2 (e) -24\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*y + y + 0*y + (-y - 4*y + 3*y)*(-2 + 4 - 4) + 1 - y - 1 + (-3 + 8 + 0)*(175 + 34*y - 175)*(1 + 2 - 4) to w*y + z and give w.\nAnswer: -170","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2101?\nAnswer: 11, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = 4 + c**3 - 3*c**2 - 4*c + 1 - 3. Let o be k(3). Let a = -5 - o. Solve -w + 0 = a for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -642 - -647. What is the remainder when p is divided by 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 82808 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -o**2 - 13*o - 19. Let u be t(-8). Let j be (-2)\/(-7) + 15\/u + 2. Suppose 56 = n + j*n. Calculate the highest common factor of 56 and n.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 149 minutes before 8:37 PM?\nAnswer: 6:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8135.\nAnswer: 5, 1627","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3 + 11\/((-4884)\/(-1328)))*(43 + -34)?\nAnswer: -3\/37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g + 4*k = -0*k - 7, -4*g - 8 = -4*k. What is the closest to 1\/10 in -0.5, 3\/5, g?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -5620810 (base 9) to base 3.\nAnswer: -12200200220100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 119066?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -n**2 - 47*n + 1042. Calculate v(-61).\nAnswer: 188","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4a1 (base 15) to base 8.\nAnswer: -2033","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = x**3 + 33*x**2 + 82*x + 61. Give o(-30).\nAnswer: 301","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30*i - 32*i - 4 = 2*b, -24 = -2*i + 2*b. Solve 13 = 6*a + i*t + 4, -2*a + 5*t = 17 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8966*c - 5242*c + 6349*c.\nAnswer: 10073*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.01607 and 0.3.\nAnswer: 0.004821","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = y**2 - 8*y + 2. Let u be l(6). Find the common denominator of 107\/6 and (194\/u)\/((-88)\/20).\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -8\/9, 20 in decreasing order.\nAnswer: 20, -8\/9, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -d**2 - 16*d. Let g be j(-16). Suppose -4*k + 31 = -4*s + 3, g = -s + 3. Calculate the greatest common divisor of 50 and k.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 561445 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24*u - 171 = -51 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = 194102 - 194054 + 13*a - 53*a. What is t(1)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -115*m - 72*m - 215 + 1150. Solve -m*z + 0*z = -2*y + 31, -3*y + 3*z = -24 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 26*x + 167*x**2 - 167*x**2 - 2*x**3 - x**4 to the form n*x**4 + f + g*x**2 + l*x**3 + c*x and give l.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 7 + -5 - (11 - (-11 + 8))\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -p**5 - 9*p**2 - p**5 + 0*p**2 - 5*p**2 wrt p.\nAnswer: -120*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -113, -120, -131, -146, -165, -188, -215?\n\"Answer: -2*u**2 - u - 110","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = o**3 - 4*o**2 - 18*o + 6. Let f be j(-3). Put f, 11, 4, -5 in increasing order.\nAnswer: -5, f, 4, 11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 75*m**5 + 615*m**4 + 1482*m**3 + 1554*m**2 + 747*m + 135 = 0.\nAnswer: -5, -1, -3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -6 + 6. Is j less than -1\/56?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 33680959.6 rounded to the nearest one million?\nAnswer: 34000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y = y. Let b = -3 + y. Let l be (3\/(-18))\/((-2)\/b). Are -1 and l non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 108176834 is divided by 110272?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-195)\/26*(-141)\/(-940).\nAnswer: -9\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -6991*o + 1. Let u(p) = -163*p + 68. What is d(u(v))?\nAnswer: 1139533*v - 475387","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 22 + 11 + 394*n**3 - 374*n**3 wrt n?\nAnswer: 60*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-4)\/54*-3)\/((-146)\/((-63948)\/3358)).\nAnswer: 2\/69","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 38\/85 - -6\/17. Solve 4\/5 - 2\/5*k**3 - z*k**2 + 2\/5*k = 0.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) be the first derivative of 0*r**4 + 4\/5*r**5 + 0*r + 0*r**2 - 1\/3*r**3 + 3. Find the third derivative of b(m) wrt m.\nAnswer: 96*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -192724300 rounded to the nearest 100000?\nAnswer: -192700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -364598 = -14*r + 12*r - 4*l, r + 5*l = 182293. Is r prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 11\/1495 and 1\/368?\nAnswer: 23920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 - 1\/2*q**2 + 5\/2*q = 0 for q.\nAnswer: 0, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -9.16 + 0.16. Suppose -288 = 9553*d - 9649*d. Which is the nearest to y? (a) -2\/5 (b) -1\/8 (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.024297 rounded to 3 dps?\nAnswer: -0.024","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -1*(-942)\/9*3. Suppose -o = 44*q - 46*q. Is 10 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 + (5 - 6)*(-6)\/(-30)\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence iqqc when four letters picked without replacement from {q: 2, c: 1, y: 2, i: 4, t: 1}?\nAnswer: 1\/630","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 236 - 618. Let p = -178 - s. What are the prime factors of p?\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 12932, 13256, 13580, 13904?\nAnswer: 14228","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 45*p - 502 + 193 - 96 = 0 for p.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve d - 28 = 3*f, -f - 71*d - 134 = 102*d - 177*d for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r\/(((r**0*r)\/r)\/r))**48\/(r**(-2\/5)\/r**(1\/2)))\/(((r\/(r*r**(1\/4)))\/r)**(5\/7))**16 assuming r is positive.\nAnswer: r**(7783\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 203423.\nAnswer: 11, 18493","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 12 and 18.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s - 2*t - 13 = -10*s, -10 = -5*s + 5*t. What is the closest to 1\/4 in 0.18, -0.4, 2, s?\nAnswer: 0.18","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 78 and 30719?\nAnswer: 184314","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5 = -82*b + 77*b for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -105*q - 3074 = 64*q - 877 for q.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -46*y - 174*y**2 + 62*y**3 + 110*y + 78*y - 2*y**4 - 56 + 28*y.\nAnswer: -2*(y - 28)*(y - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -4*q**3 + 9*q**2 - 8*q - 279. Is l(-16) a multiple of 111?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o + 80 = 5*s, 2*s - o = o + 28. Suppose -s = 5*a - 74. Suppose a = 3*u - 28. What is the remainder when 25 is divided by u?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 2, k: 1, c: 4, j: 3, f: 9}. What is prob of picking 1 c, 1 j, and 1 x?\nAnswer: 8\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -13 + (12 - 8) + 7?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -36695 and -0.0654?\nAnswer: 2399.853","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1989 = -k + 3*n, 3*k + 6*n = 5*n + 5967. Does 51 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 4 + 0. Suppose 0*p = -v*p + 12. Suppose -5*c - 10554 = r, 0 = -2*r - p - 5. Round c to the nearest 100.\nAnswer: -2100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 100 divide 106273652?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -a**3 - 2*a**2 + 2*a + 1. Let t be b(-3). Suppose -4*g - f + 5848 = 407, 5432 = 4*g + t*f. Is g prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + 10 - (14 + -7).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2\/10 - 68\/(-10). Let x = m - 7. Solve -6*r + 4*p = -r + 23, x = -4*r + 4*p - 20 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-132)\/34 + (-28)\/238\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 25190 (b) -52 (c) -2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*j + 3*y + 839, -2*j = -22*y + 18*y - 412. What is the remainder when j is divided by 24?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 43\/390 and -125\/84.\nAnswer: 5460","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o\/((o\/(o\/(o*o**(-9)*o)))\/o))**16\/(o*o**34)**46 assuming o is positive.\nAnswer: o**(-1466)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 132 minutes before 6:52 AM?\nAnswer: 4:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 22.19036 centuries in decades?\nAnswer: 221.9036","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -9\/286 and 47\/78.\nAnswer: 858","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*sqrt(24)\/sqrt(4) - sqrt(6))\/(sqrt(72) + (sqrt(72) - -2*sqrt(72))).\nAnswer: sqrt(3)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 456713 and 785?\nAnswer: 157","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = g**3 + 4*g**2 - 7*g - 2. Determine m(-3).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -0.15, 1\/5, 0.4, 0.5, -22\/3?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 120424 is divided by 386?\nAnswer: 378","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 11*b**3*s - 110*b**2*s - 70*s + 4 wrt b?\nAnswer: 33*b**2*s - 220*b*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*v = -21*v. Let c(w) be the third derivative of 0*w**3 - w**2 + 0 + 1\/20*w**5 + 0*w + v*w**4. Let k(a) = a. Give k(c(t)).\nAnswer: 3*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 5128 (b) 386 (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3812 + 3839. Let m(p) be the first derivative of -p**2\/2 - 1. Let k be m(-9). Calculate the greatest common factor of k and g.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -1c1363 + -6d?\nAnswer: -1c13d2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 258204818?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 9, 32, 67, 114?\n\"Answer: 6*m**2 + 5*m - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in twenty-one quarters of a millennium?\nAnswer: 63000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1858238923 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*n + 0 + 0 - 3)*(-1099 - 1281 - 983 - 441).\nAnswer: 7608*n + 11412","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c + 4*s - 7 = 706, 0 = 4*c + 2*s - 2908. What is the remainder when c is divided by 16?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -h + 2*h + 62 - 2*h - 118 - 6*h. What is m(-6)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 212, 219, 226, 233, 240, 247?\nAnswer: 254","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = j**2 - 3*j. Let x be g(3). Suppose x = -0*n - 4*n. Suppose 17 = y - n*y. What is the remainder when 50 is divided by y?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -6049, -12033, -18017, -24001, -29985, -35969?\nAnswer: -41953","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = n + 36. Let v be j(-18). Let m = v + -18. Suppose 2*d - z = 7*d - 925, m = 3*z. Is d composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2240\/72 - 15 - 16?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 95522 - 44946. Does 16 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 116400 and 560.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2340?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = 6*b - 4*b. Suppose 0 = -2*h - b*t + 8, -4*t = -5*h - t - 19. Let g(i) = i**3 + 2*i**2 + 2*i + 1. What is g(h)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2*1)\/(5\/50*5).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = 45*n + n**2 + 4*n**2 + 7*n**2 - 19*n**2 - 4*n**2 - 4. Give d(4).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 449503, 1797921, 4045257, 7191511?\n\"Answer: 449459*q**2 + 41*q + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2.1 (b) -4\/9 (c) -2\/7 (d) 2 (e) -2 (f) 2\/5 (g) -46\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -882393 divided by -5.\nAnswer: 882393\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 28834034?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 132? (a) 0.2 (b) 0.09 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3, 12, 11, -12, -63, -148, -273?\nAnswer: -444","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w - 2*w - 5*a = -30, -w - 4*a + 6 = 0. Let b(r) = 0*r - 12*r + 1 + 0 - r**3 - 11*r**2. Is b(w) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -222200 (base 4) to base 12.\nAnswer: -16a8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -g**2 + 7*g + 2. Let s be o(7). Let a be (0*s\/2)\/(-1). Solve 3*n + t = -a + 1, -1 = 3*n - t for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 132.8 - 123. Let x = j - 10. Sort 2\/3, -0.4, x.\nAnswer: -0.4, x, 2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2213876 divided by 130228\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 262*c - 5*c**2 - 8*c**2 + 4 - 8*c**2 + 17*c**2 - 2.\nAnswer: -4*c**2 + 262*c + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 482 minutes before 7:05 AM?\nAnswer: 11:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (0 + 7)*16 + 0. Let m be (-11 - g)\/(1\/3). Let x = m + 604. Is x prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*h - 453*h**2 - 2*h.\nAnswer: -453*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*k + 10021 = -2*k + 3*k + 20*b + 9920, 4*b = k + 2*b + 9 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*f - 5*y + 5 = -11*f, -5*f = 5*y - 40 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 675.56 - -195.54. Let q = 871 - p. Which is bigger: q or -3.45?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -2*c - 5*c + 16*c. Let p(r) = 2*r. Give h(p(n)).\nAnswer: 18*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12816*d - 1098540 = -17699*d for d.\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from cggccucgccccccccc. Give prob of picking 3 g and 1 u.\nAnswer: 1\/2380","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 2 + -104?\nAnswer: -102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -c**3 - c**2 + 303899633*c + 723575767.\nAnswer: -3*c**2 - 2*c + 303899633","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 9385953 to the nearest integer?\nAnswer: 211","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*d - 2*d + 146 = 33*d + 1074 for d.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*a**6 + 7*a**3 + 2*a**2 + 192?\nAnswer: 240*a**3 + 42","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -2*b. Let y(u) = -3*u. Let p(o) = -5*a(o) + 3*y(o). Let i(c) = -11*c**2 - 17*c**2 + 7*c**2. What is p(i(h))?\nAnswer: -21*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 20879 is divided by 72?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = t**3 - 7*t**2 + 7*t + 7. Suppose j - 24 = -3*j. Suppose -3*y - 18 = -j*y. Is n(y) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does -15 = -23?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is (-790976)\/(-160)*(-10)\/(-4) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 15516 is divided by 738?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -22954831949774531.9999893 - -22954832909916833. Let k = r - 960142041. Let o = -260 + k. Round o to 6 dps.\nAnswer: 0.000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -888*h**5 + 41*h**3 + 1501569*h wrt h?\nAnswer: -17760*h**3 + 246*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -6*o**3 - 2*o**2 + 2*o - 1. Let p be s(1). Let g(h) = -2*h**2 - 4*h + 1. Let b be g(-3). Suppose -8 = 4*z - 0. Sort z, p, b.\nAnswer: p, b, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8459.3*34.\nAnswer: -287616.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = 1. Let o(r) = -11*r - 13. Let x(q) = 39*q + 45. Let g(i) = -18*o(i) - 5*x(i). Calculate -g(f) + 9*k(f).\nAnswer: -3*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*d, w - d - 9*d = -8*d + 2 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/2? (a) 3 (b) 0.185 (c) -21\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 9020 - 9022. Put 2, x, -1577 in increasing order.\nAnswer: -1577, x, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.1, 10, -208, 4, 13\/2?\nAnswer: -208","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*d + 0*p + 56 = 5*d - 2*p + 67, -d + p = 3 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 2 + 2)*(-2 + 2 - 2)*(5*n + 23 - 23).\nAnswer: -30*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 317 + 3633483123?\nAnswer: 3633483440","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 9, -16, 205245.\nAnswer: -16, 9, 205245","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 32805 to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -144 (base 11) in base 7?\nAnswer: -331","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 + (76 - 52) + -14.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f*f*f**(-2\/7))**(-25\/2)*(f*(f**0\/f)\/f)**(9\/7) assuming f is positive.\nAnswer: f**(-159\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 15950 and 139495800?\nAnswer: 1450","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1002 + 1002.1. Let m(w) = -4 + 8*w - 3*w - 2 - 4*w**2 + 3*w**2. Let i be m(4). Which is the second smallest value? (a) z (b) i (c) -2\/3 (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -16849 by -3.\nAnswer: 16849\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j + 4 = 0, 0 = 15*z - 18*z - 3*j + 2172. Let t = -713 + z. Solve -2*k + 6*k = -t for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -37, -36, -43, -64, -105, -172?\n\"Answer: -v**3 + 2*v**2 + 2*v - 40","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from icicciiiiiiciw. What is prob of picking 2 i, 1 w, and 1 c?\nAnswer: 144\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -5*l + 3. Let b(d) = 1. Determine -3*b(u) + i(u).\nAnswer: -5*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (5\/((-5)\/14))\/((-52)\/(-104)). Let s(g) = -7*g - 194. Let m be s(y). Solve 2*p = -2, 12 = 6*w - m*w + 4*p for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 divided by 28121.\nAnswer: 5\/28121","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide -276 by 92498.\nAnswer: -138\/46249","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l + 27 = -5*m, -l - 7 = -5*m - 26. Let d(p) = -5*p - 92. Let x be d(-18). What is the units digit of x\/(-2) + m + 13?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) be the first derivative of c**2\/2 + 3*c - 3. Let n be d(0). Suppose -b = -n, 4*b + 35 = 5*p - 13. Solve 2*t - p = -t for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in sixty-four fifths of a kilometer?\nAnswer: 12800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*j**3 - 38733*j**2 + 19404*j**2 + 19329*j**2.\nAnswer: -2*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 2, q: 10, p: 4, d: 1, s: 1}. What is prob of sequence sb?\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = 8*i**2 - 38*i - 14. What is h(10)?\nAnswer: 406","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -3 (b) -771\/52202 (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 132 and 358716.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r + 371 = 197. What is the remainder when r is divided by 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 564\/7 - 81. Let o = -2\/22715 + 363618\/2021635. Calculate the common denominator of d and o.\nAnswer: 623","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2325 divided by -12\nAnswer: -775\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 24126328409 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:43 AM and 4:27 PM?\nAnswer: 404","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 1922500?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Do 7\/19862 and -1 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*w - 268 = -59*w + 132. Put -5, w, 43, -4 in increasing order.\nAnswer: -5, -4, w, 43","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -21 divided by 1?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = o + 5*n + 7, -o - 2*o - 1 = -5*n. Let k be ((-36)\/(-20))\/(o\/(-10)). Calculate the highest common factor of k and 72.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*r**3 - 2*r**2 + 4*r**2 + 0*r**3 - r - 7*r**2 to o*r + d + v*r**2 + n*r**3 and give v.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0\/4 - (0 - -6)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-10977)\/(-21954))\/((-1)\/(-84)).\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ilil when four letters picked without replacement from {i: 4, l: 3}?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from uuzuuuuuuuuuz. What is prob of picking 2 z and 2 u?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 80 and 27170064.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) be the first derivative of 3\/4*x**4 + 17*x + 0*x**3 - 9\/2*x**2 + 23. Let r(w) be the first derivative of f(w). Find the first derivative of r(n) wrt n.\nAnswer: 18*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + -4 + 2 + -1*sqrt(1216)*-4 + 0 + -1.\nAnswer: -8 + 32*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -7116 - -7140. What is the remainder when 928 is divided by g?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = k**2 + 21*k + 12 - 14 + k**2 + 38. Let g be a(-2). Solve 2 = 2*i + g for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -112 = 28*w - 24*w. Which is smaller: -1 or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:05 AM and 12:23 PM?\nAnswer: 318","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -99, -120, -159, -222, -315, -444, -615, -834?\n\"Answer: -u**3 - 3*u**2 - 5*u - 90","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = d**3 + 17*d**2 - 92*d - 157. Determine m(-21).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z + 12 = -3*a, 0*z + 3*a = -2*z - 12. What is u in 0 - 2\/7*u**5 - 4\/7*u**4 + 2\/7*u + z*u**3 + 4\/7*u**2 = 0?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 175874*w**2 + 175875*w**2 - 2*w + 175875*w**2 - 527614*w**2.\nAnswer: 10*w**2 - 2*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(190)\/((sqrt(110)*2)\/sqrt(11)).\nAnswer: sqrt(19)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jjnjhhjyjnjeyeh. What is prob of sequence yne?\nAnswer: 4\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 75869 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = w**2 + 8*w - 14. Let s be j(-7). Let z = -191\/9 - s. Let n = 0.0491 + -0.0091. Which is the third smallest value? (a) z (b) n (c) -0.4 (d) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-3034)\/111 + 27 + (-92)\/(-6). Solve -p = -5*m + 5*c, 13*c - 10*c + 25 = -5*m for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26*m - 840 = 91*m - 12*m for m.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*q + 3*q - 5*q + (6 + 2 - 4)*(0 - 4*q + 0).\nAnswer: -14*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 10502633 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t\/t**(25\/2))**(-21\/5)*(t**(2\/35))**(-33) assuming t is positive.\nAnswer: t**(3249\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 100 is divided by 23.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 2 + (21 - 3 - -1) + -8 - -4\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ppaadppdpvddvvd. What is prob of picking 2 p?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = 32*s + 89. Let x(a) = 7 - 13*a - 70 - 26 - 16*a - 6*a. Let b(u) = 5*c(u) + 6*x(u). Differentiate b(f) wrt f.\nAnswer: -50","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 1326, -1 in decreasing order.\nAnswer: 1326, 4, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 51.53394 months?\nAnswer: 4.294495","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((d*d*d**0*d*d)\/d)\/d)**(-32)\/(d**(-2\/7))**(1\/4))**(-47))**(-32) assuming d is positive.\nAnswer: d**(-673040\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 33 (base 4) to base 9.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*j**2 - 4 + 2 + 3)*((1 + 4 - 3)*(0 - 1 - 1) - 9 + 4 + 21)*(0 + 0 + 2*j).\nAnswer: 48*j**3 + 24*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 24277929?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3 + 4 - 4 - a - a to the form m + p*a and give p.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (7\/(-28) + (-462)\/8)\/1. Let h = s + 63. Solve 0 = h*q + z + 4*z - 50, 2*q = 2*z for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -47 - -19. Let v be 2\/(-4)*(1 + 52\/i). Put v, -0.2, 2 in decreasing order.\nAnswer: 2, v, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p + 188 = 4*n, -n - 4*p = -3*n + 104. Calculate the lowest common multiple of n and 24.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pnp when three letters picked without replacement from {n: 2, p: 7, f: 4}?\nAnswer: 7\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -2*y**2 + 2*y**3 + y**2 + 6 + 2*y + 5*y**2 - y**3. What is f(-4)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 67 - 67.74. Let x = 0.54 + t. Which is the nearest to 0.1? (a) -0.1 (b) x (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 11*c + c**2 + 0*c**3 + 2*c**3 + 37*c**3 - 35*c**3 as r*c**3 + w*c**2 + y + z*c and give r.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 265473269 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (48740 - 8)*(-4 - -9)\/5?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 87977?\nAnswer: 87977","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 - (-3 - (1 - 18)) - 6.\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -3 - (-424)\/40 - ((-430)\/(-50) - 9)\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 20813558.27 to the nearest one thousand.\nAnswer: 20814000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o + 19 = 3*t, 0*o + 2*t - 14 = 3*o. Let h = -2 + 5. Suppose -5*s = -h*v + 14, -5*v - 9 = -s - 3. Are o and s unequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-3\/4)*u**(4\/7))**(-30\/11) assuming u is positive.\nAnswer: u**(75\/154)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -65903 - -65959. Suppose 3*n - 40 = -2*n. Calculate the greatest common factor of n and c.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2395 divided by 479.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 2556 - -20?\nAnswer: 2576","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 68\/16 + -2*1\/8. Determine c, given that 4 - r*c**2 + 50*c - 24*c + 0*c**2 - 22*c - 4*c**3 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1 + 1. Let h = -1222 + 1222.5. What is the second biggest value in q, h, 5?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -3, 1\/1882, 0.2, -0.94, 5.4, 3\/2?\nAnswer: 1\/1882","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -7 - -7.2. Which is the closest to -1? (a) -5 (b) -4 (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 27 <= 27?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1 + 0. Suppose -1 + 2 = w. Let s(x) = r - x - w. Let y(g) = g. Calculate -s(c) - 2*y(c).\nAnswer: -c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -452\/9*u**3 - 6*u**4 + 2560\/9*u + 1024\/3 - 304\/3*u**2 - 2\/9*u**5 = 0 for u.\nAnswer: -12, -8, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1167\/22 or -52?\nAnswer: -52","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -858306 + 858437.9586. Let x = -167 - -299. Let y = x - z. What is y rounded to two dps?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -w**4\/2 - 6*w**3 - 24*w**2 - 32*w.\nAnswer: -w*(w + 4)**3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 8*o**3*w - 8432*o**3 + 53*o**2*w + 18*w - 27 wrt o.\nAnswer: 48*w - 50592","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 38 divided by -151517.\nAnswer: -38\/151517","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -37 - -59. Let k(x) = -5*x + 323. Let q be k(42). Suppose -5*r + q = 4*a, a - g - 7 = -r. Does 8 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c = -2*d + 17, -16 = d - 3*d - 4*c. Suppose 850 = d*y - y. What are the prime factors of y?\nAnswer: 2, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2299902.\nAnswer: 2, 3, 11, 34847","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1775*m**2 - 3551*m**2 + 7*m**3 + 1776*m**2 + m**3.\nAnswer: 8*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 24 divide 2668?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 241045607 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-3)\/2 + (-2)\/(-3)*825\/100. Let z(w) be the first derivative of -3\/4*w**t - 1\/5*w**5 + 2*w + 3\/2*w**2 - 1\/3*w**3 + 5. Factor z(b).\nAnswer: -(b - 1)*(b + 1)**2*(b + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 15\/11404?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15 + 1734157150.\nAnswer: 1734157165","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 629 + -563. Does 20 divide 33480\/341 - -3*(-4)\/f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 54 and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3571999339 to the nearest integer?\nAnswer: 1529","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 1423023602 divided by -7154?\nAnswer: -198913","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00618 to 3 decimal places.\nAnswer: -0.006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z - 107*k = -110*k - 6, -5*z = -4*k - 8. Solve z = -n + 4*n - 15 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -83.89 - -4.69. Let o = p + 69. What is o rounded to 0 decimal places?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 + (0 - -5 - -1 - 3)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = 2 - 4 + 1052*y**2 + 4*y - 1048*y**2 - 2*y. Give a(-3).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -2, 1\/5, 3\/16, -20\/3?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (9\/(-25))\/((-66)\/220).\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13126 - -4?\nAnswer: 13130","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -844.858 + -8.342. Let v = t + 853. Sort 0, v, 3, -4 in descending order.\nAnswer: 3, 0, v, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l = -7*l + 536. Suppose 0 = -g - 3*j + l, 5*g - 3*g - 5*j - 156 = 0. Let z = 113 - g. Does 14 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 211 minutes before 1:00 AM?\nAnswer: 9:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = u + 2. Let i be w(3). Suppose -5*x = -5*d - 10, 4 - 11 = i*d - 2*x. Let j = 0 + -2. Does d = j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 8 (b) 2 (c) -28\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yddd when four letters picked without replacement from {y: 6, d: 7, h: 1}?\nAnswer: 15\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in o**3 - 3*o**3 + 3*o**3 - 4*o**3.\nAnswer: -3*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express 6*d**4 + 5 - 3 - 3 - 488*d**2 + d**4 + 493*d**2 - 3*d in the form c*d**3 + n*d**2 + g*d + m*d**4 + i and give n.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -21213 + -13?\nAnswer: -21232","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 35*m + 27 - 167 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 108667710?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7738 = -5*d - 2268. Is d a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-56 + -4)\/4 - -7\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.1, 0.4, 5\/7, -3, -0.4 in decreasing order.\nAnswer: 5\/7, 0.4, -0.1, -0.4, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11 = -2*x + 3*y, -2058*x + 10 = -2060*x - 4*y for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 128\/29 in 0.2, 5, 2\/19?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = 8*n + 3. Let d(q) = -7*q - 3. Calculate -4*d(z) - 3*f(z).\nAnswer: 4*z + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -0.082+0.12\nAnswer: 0.038","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -4185 - -41899\/10. Let o = 5\/2196 + -91159\/10980. Calculate the common denominator of c and o.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j = 3*r + 9, 0*j - 17 = -5*j - 2*r. Solve 1\/4*y**j + 0 - 1\/4*y**2 + 0*y = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 2\/75 of a hour?\nAnswer: 96000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = 2*u. Let p(x) = -4 + 5*x + 4 + 65*x. Give v(p(y)).\nAnswer: 140*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -7*o - 4. Let h be l(-5). Let i(g) = g**2 - 4*g - 3. Let u be i(5). Suppose u*k = 2*w + 2*w + 26, 0 = -3*k + 2*w + h. What is the units digit of k?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 144.5 - 177. Let o = z - -28.24. Round o to one dp.\nAnswer: -4.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-609)\/54 - ((-33864)\/459 - -73)?\nAnswer: -21\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 2005f7 + -101?\nAnswer: 2004f6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 11\/((-495)\/(-47691))*5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -3*k + 81*k**2 - 62*k**2 + 4*k - 1. What is the hundreds digit of z(3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 145, 327, 577, 895, 1281, 1735?\n\"Answer: 34*u**2 + 80*u + 31","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = 4*a - 24. Suppose 4*y + 36 = 4*v, -2*y + 10 = 2*v - 0*v. Let u be z(v). Solve -u*b - 20 = 2*i, -5*b - 22 = i - 0*i for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 34520357?\nAnswer: 43, 802799","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1310282279?\nAnswer: 157, 8345747","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 30*d - 18*d - 13*d**3 - 12*d + 15*d**3.\nAnswer: 2*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = 2*i**2 + 18*i + 172. Let s be c(-5). What is the highest common factor of s and 120?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*r**3 - 3*r - 102*r**2 + 100*r**2 - 12*r as y + n*r**2 + p*r**3 + x*r and give p.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 272\/(-900) - 12\/(-54)\nAnswer: -2\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 29680 and 2160?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*j**4 + 22*j + 2*j**2 + 2*j**3 - 3 - j**2 - 20*j as c*j**4 + s + i*j + y*j**2 + f*j**3 and give f.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 6106288567 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 421 is divided by 275?\nAnswer: 146","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -21458500 rounded to the nearest 100000?\nAnswer: -21500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 249?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Work out 39416 - -2306.864.\nAnswer: 41722.864","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 14569742, 29139478, 43709212, 58278944?\n\"Answer: -r**2 + 14569739*r + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 114368?\nAnswer: 2, 1787","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 36099, 68051, 95857, 119517?\nAnswer: 139031","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-x + 2*x + x)*(0 + 1 + 0)*(-20*x + 16*x + 12*x) - 18 + 18 + 6*x**2.\nAnswer: 22*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + sqrt(2448) + sqrt(170)\/sqrt(90).\nAnswer: -2 + 37*sqrt(17)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 96448 + -5395522\nAnswer: -5299074","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -14 - -62023?\nAnswer: 62006","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*h + 641 = 647, -14 = 4*x - 3*h for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -12, -183, -652, -1569, -3084, -5347, -8508, -12717?\nAnswer: -18124","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-1)\/2*-4 + (27 - -6). Suppose -22*h + 17*h = -j. What is the units digit of h?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 59646 to the nearest 1000.\nAnswer: 60000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) be the first derivative of o**4\/16 - o**3\/12 - o**2\/4 + 74. Factor d(m).\nAnswer: m*(m - 2)*(m + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -59 - -71. Let u be (25\/(-50))\/((-2)\/w). Solve h + 0 = -u, 7 = k - 3*h for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*h + 20, v + 3*h = 3*v - 19. Let x(u) = -2*u + 13. Let i be x(5). Solve -k = v*k - i for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-6586)\/(-6) + (-1072)\/402?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.02 take away -197.9?\nAnswer: 197.92","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -28699*k - 22062*k + 13864*k - 27392*k.\nAnswer: -64289*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) be the third derivative of 0*p**5 + 3\/8*p**4 - 1\/60*p**6 + 0*p**3 + 6*p**2 + 0 + 0*p. Find the second derivative of u(o) wrt o.\nAnswer: -12*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j + 17 = -7. Let t be (j + -3)*6\/(-9). Solve -2*v - t = v for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -9 (b) 5 (c) -6\/11 (d) 2\/3 (e) -3\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 533739 - -416261. What is v rounded to the nearest one hundred thousand?\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 divided by -156402669?\nAnswer: 5\/156402669","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w, 1 q, and 1 t when three letters picked without replacement from {q: 3, p: 2, m: 1, t: 3, i: 2, w: 1}.\nAnswer: 9\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28*k - 291 = -291. Let v(r) be the first derivative of k*r**2 + 5\/3*r**3 + 0*r - 14. Let f(h) = -h**2. What is f(v(c))?\nAnswer: -25*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -w**2 + 6*w + 2. Let u be v(6). Suppose 0*d = -d - u. Which is the smallest value? (a) -1\/2 (b) 0.2 (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z = -5*v - 29, -2*z - 17 = 5*v + 2*z. Let k = 1497 + -1499. Sort 3, k, v.\nAnswer: v, k, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*m**2\/4 + 152068995*m\/2 - 7708326413436675\/4 = 0 for m.\nAnswer: 50689665","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:10 PM and 2:27 AM?\nAnswer: 617","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -12.11 + 11.91. Let d = -0.038 + 0.038. What is the third biggest value in t, -0.02, -1.2, d?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 divided by -111183?\nAnswer: -2\/111183","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 3a9 + 25a99?\nAnswer: 25e42","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) be the first derivative of 21*d**2\/2 + 26*d - 134. Let z(c) = 4*c + 5. Let r = -7 - -9. Suppose r = -2*m + 3*m. Determine m*u(j) - 11*z(j).\nAnswer: -2*j - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.4 + 0.7. Let k be (12\/(-16))\/(90\/16). Which is the smallest value? (a) j (b) -5 (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -373 - -380. Solve 4*f + 13 = -t for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 10449, 81830, 275577, 652872, 1274897, 2202834, 3497865, 5221172?\nAnswer: 7433937","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) 0 (b) 11 (c) 8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -105, -5, 25, 5 in ascending order.\nAnswer: -105, -5, -2, 5, 25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-6)\/5)\/3)\/((-22)\/1485*-6).\nAnswer: -9\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-1 - 323\/4) + 6\/(-24). Let q = -78 - s. Solve -5*y + 4*o = 5*o - 2, -q = 5*y + 3*o for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.45, 84333, 3 in ascending order.\nAnswer: 0.45, 3, 84333","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = 2*h**3 - 5*h**2 - h + 4. Let z(a) = 2*a**3 - 5*a**2 - 2*a + 5. What is 5*p(f) - 4*z(f)?\nAnswer: 2*f**3 - 5*f**2 + 3*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*g**4 + 8*g**4 - 6*g**4)*(3 + 1 - 6) + (g**2 + 2*g**3 - g**2)*(-2*g - 2 + 2).\nAnswer: -18*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10 + -1001110?\nAnswer: -1001100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 41.96389 centimeters in millimeters?\nAnswer: 419.6389","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*b**3 + 5*b**3 - 2*b**3)*(1 - 1 - 2*b) + b**4 + b**4 - b**4 + 82 - 82 + 61*b**4.\nAnswer: 64*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-2)\/(-3) - 82\/6. Let g be -6*(-27)\/6*-1. Let k = i - g. Solve 4*t = 8, -5*t + k = -0*p + 4*p for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7140.\nAnswer: 2, 3, 5, 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Are 0 and -0.07845 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 153 and 622829?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 27112439490.6 and 714?\nAnswer: 27112438776.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -1, -5.919, -5 in descending order.\nAnswer: 3, -1, -5, -5.919","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = 3*a - 5. Suppose -z + 11 = -3*b, 0 = -5*b + 5*z - 4 - 1. Let g(t) = 4*t - 8. Let x(n) = b*g(n) + 8*v(n). Let f(q) = -4*q. Determine f(x(u)).\nAnswer: -16*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -1 - 8*m + 11*m**2 - 10*m**2 + 3. Let b = -17 + 24. Let j be w(b). Put -2, -4, j in decreasing order.\nAnswer: -2, -4, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0942083057 to 5 dps.\nAnswer: -0.09421","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 63*q**5 - 105647*q**3 + 23389044*q**2.\nAnswer: 3780*q**2 - 633882","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6 - 7 + 10)*(-2 - 2 + 6)*(-26 + 10*i**5 + 26).\nAnswer: 180*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (-28)\/(-20) - (-156)\/(-140)\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -19, -3, -26 in decreasing order.\nAnswer: 2, -3, -19, -26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 170 a factor of 231481010?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 1307804693 to the power of 1\/2, to the nearest integer?\nAnswer: 36164","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -3*h**2 - 2*h + 2. Let i(l) = l**3 + 12*l**2 + 9*l - 9. Calculate -9*b(d) - 2*i(d).\nAnswer: -2*d**3 + 3*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 8 in 14, 0.1, 283\/2?\nAnswer: 14","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 86\/14 + 1\/(-7). Suppose -2*a = -m*a + 20. Suppose 5*g - 38 = -2*j, 5*j - a*g = 34 - 9. Solve -4*d - 16 = 3*r + 1, 0 = r + 3*d + j for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m - 4*f + 5 - 1 = 0, -3*m = -4*f - 24. Suppose -5*q + 3138 = m*z, 9*q = 13*q - 5*z - 2494. What is the tens digit of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 62\/3 of a day?\nAnswer: 29760","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 3\/5, -1.6, -11, -40 in decreasing order.\nAnswer: 3\/5, -1.6, -11, -40","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (62 - 37 + 249)*(-162*y + 30*y + 88*y) to the form i*y + h and give i.\nAnswer: -12056","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = d + 5. Let l(p) = 2*p + 9. What is -3*l(t) + 5*u(t)?\nAnswer: -t - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -t. Let a(q) = 2*q**3 + 6*q**2 + 11*q - 10. Let l(b) = b**2 + b - 2. Let x(o) = a(o) - 6*l(o). Give x(i) + 5*z(i).\nAnswer: 2*i**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r + 31 = 3*j, 0*r - 34 = -4*j - r. Let y(t) = 2*t**2 + 12*t. Let h be y(-9). Calculate the greatest common divisor of j and h.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -144 - -209. Put -8, 2, x, -2 in descending order.\nAnswer: x, 2, -2, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x*((x\/(x*x**(2\/67)))\/x*x)\/x)\/((x**(-23)*x)\/x)*(x**(-6))**(-49) assuming x is positive.\nAnswer: x**(21237\/67)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 570.\nAnswer: 2, 3, 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (4 - 8) + (26 - 2) + (20 - 24)\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 664, 1322, 1980?\nAnswer: 2638","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.045 + 0.245. Let n be -3*(1 + -2) + -1. Sort n, -5, a in descending order.\nAnswer: n, a, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.08120433408 take away 54?\nAnswer: -54.08120433408","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -b*n**2*z**2 - 5*b*z**3 + 55*b + 2*n**2*z**3 - 8*n*z**3 + n*z**2 wrt z.\nAnswer: -30*b + 12*n**2 - 48*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v = -8*n + 4*n + 60, 2*v - n + 75 = 0. Let x be (-10)\/1*v\/100. What is the nearest to 0.12 in -3, x, -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 2218 + 2?\nAnswer: 221a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-75)\/(-50)*(-1279960)\/(-30)*2\/4?\nAnswer: 11, 2909","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 45824?\nAnswer: 2, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*d - 0*d + 42. Let b be (1 + d)\/1*-8. Calculate the highest common divisor of b and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 - 2 - 1)*(-46*i + 26*i + 231*i)*(-1 + 3 - 4) as w*i + h and give w.\nAnswer: 844","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = 2*n - 5*n. Let w = 1836 + -1833. Suppose z + 19496 = n*b, -8*b + 7795 = -6*b + w*z. Is b prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -107 - -109. Let p(o) be the second derivative of 7\/6*o**3 + 3*o + 0 - 7\/2*o**d. Let r(t) = 8*t - 8. Determine 7*p(a) - 6*r(a).\nAnswer: a - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -158740, -158742, -158744, -158746, -158748, -158750?\n\"Answer: -2*x - 158738","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = 4*a**2 + a. Let m be h(-1). Suppose m*l + 10 = 5*l. Let n = l + -10. Let s(u) = -2*u - 6. Give s(n).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -5 + a96?\nAnswer: a91","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -4 and -19979?\nAnswer: 79916","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-235)\/(-3) - (-2)\/(-6). Let r(n) = n**2 + 766*n - 6962. Let h be r(9). What is the highest common divisor of m and h?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*m**2 + m**2 - 20*m**3 - 4*m**5 + 0*m**4 + 16*m**4 = 0. Calculate m.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-1)\/(-3 - (-28)\/10). Let l = -3 + 6. Let m = 4 - 2. Solve 0 = -l*h - w*d + 11, 20 + 3 = -5*h + m*d for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 410 minutes before 3:01 PM?\nAnswer: 8:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is (159\/15)\/((2\/90)\/1) a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qqufqqqqqqq. What is prob of sequence uqq?\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.343314 days in nanoseconds?\nAnswer: 29662329600000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 77 and 70.\nAnswer: 770","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 4 + 8587?\nAnswer: 858b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-732228)\/368)\/(-21) - 97?\nAnswer: -9\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = 3*s**3 - 2*s**2 + s. Let t(p) = -50*p**3 + 8*p**2 - 16*p. Give 16*k(b) + t(b).\nAnswer: -2*b**3 - 24*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 104*m - 112*m - 8. Which is the third smallest value? (a) 3\/7 (b) m (c) 0.3 (d) -3\/19\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-480)\/(-140))\/(92\/28 - 3)?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:35 PM and 5:05 AM?\nAnswer: 690","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s - 4*s = -y + 1199, -2*y - 5*s + 2419 = 0. What is the hundreds digit of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 698 - 2096\/3. Which is the closest to 0.2? (a) -4 (b) f (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) be the third derivative of 0*k**3 + 0 + 3*k**2 + 0*k - 1\/60*k**5 + 0*k**4. Let j(d) = -2*d. Give c(j(u)).\nAnswer: -4*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-10)\/(-35) - (-12)\/7. Let u be 1\/((-2)\/58 + 0). Is 0 + (f - u) + 2 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 13623573 to the nearest integer?\nAnswer: 239","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8\/(-2)*175\/140.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -1050205 (base 7) in base 3?\nAnswer: -20120222211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f + 130 + 44 = 0. Let v = f + -10. What is the greatest common divisor of v and 240?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -4 + 5. Let g = -3 + k. What is the remainder when -1 - (12\/g + -3) is divided by 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 126 and 49?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Determine s so that s**4 - 12581*s**3 + 62888*s**2 - 100612*s + 50304 = 0.\nAnswer: 1, 2, 12576","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 289 is divided by 104.\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 207 minutes before 8:55 PM?\nAnswer: 5:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 534 is divided by 136.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 66 - 69. Is (-1)\/4 + 6174\/24 + g a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1016*o**5 + 305*o**3 + o**2 + 6615*o - 2?\nAnswer: 60960*o**2 + 1830","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26 = -3*d + 62. Let i be (-8)\/(-20)*-5*(21 - -1). What is the units digit of (d\/(-4) + 2)*i?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (860\/3440)\/((-18)\/(-256)) + (-4)\/(0 + 1).\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 192 or 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = k**2 - 1 - 2 + 4 + 8*k. Let n be w(-10). Solve 7 = d + 3*y - 4, -n = -3*d - 5*y for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.1, -608.3, 5, -21?\nAnswer: -608.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i = -w + 25, -4 - 6 = -2*i. Suppose -4*h + 20 = -w*h. Suppose 5*g - 4*r - 89 = -r, h*g - 99 = -2*r. Is g composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1.56 + 0.44. Suppose -5*r - 2 + 17 = 0. Which is the nearest to -2\/5? (a) w (b) 0.3 (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d and 2 g when three letters picked without replacement from {v: 2, d: 4, g: 4}?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/(-4))\/((-135)\/(-240)*4).\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 2*j + j. Let p = j + 0. Suppose -4 - 4 = -3*b + h, -2*b - 23 = 5*h. Which is smaller: b or p?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22 = 5*d + 2. Solve a = s + d*a + 6, -2*a - 4 = -s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 25\/4 of a litre?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) be the third derivative of 29*d**5\/30 + 47*d**3\/6 - 2*d**2 - 41. Differentiate p(g) with respect to g.\nAnswer: 116*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2.3, -2, 1, -1 in ascending order.\nAnswer: -2, -1, 1, 2.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (2\/3)\/(18\/(-27)). Let t = 0.09294 + 2.90706. What is the nearest to 0 in t, z, -0.1, -25?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 53903\/10 - 5399. Find the common denominator of 73\/18 and t.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2 + 0 - 9) + 15 + -14.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + ((sqrt(1216)*2)**2 + 1 - (1*sqrt(1216)*-1)**2) + -3*(sqrt(38)\/sqrt(2) + sqrt(19))**2 + 0 + (sqrt(19) + 0 + -3 + 4)**2.\nAnswer: 2*sqrt(19) + 3445","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 + 0 + -4 + -3 + 4?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = 168*p. Let a(d) = -7*d - 120. Let x(y) = y + 20. Let v(c) = -a(c) - 6*x(c). Give r(v(b)).\nAnswer: 168*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-94 + 5 - 346)*(5*l + 47*l - 18*l) to g*l + i and give g.\nAnswer: -14790","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n - 6*x + 513412 = -10*x, 3*x + 513409 = -2*n. Round n to the nearest 10000.\nAnswer: -260000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3*n*r**3 - 10*n*r**2 - 24*r**6 - 4*r wrt r.\nAnswer: 18*n - 2880*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (0 - -1) + 2 + 1 + -4. Suppose 3*c + 6 = r, 2*t - 2*c + 6*c = 50. List the prime factors of t.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (48\/(-64))\/(18\/(-16))?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 117*p - 37*p = 28400. What is the remainder when p is divided by 126?\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (6 + -13 + 9)\/2. Put q, -4, 9\/13 in descending order.\nAnswer: q, 9\/13, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-1568)\/(-35) - (-3)\/15 is divided by 7?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-27 + 28)\/((-91)\/2)*7*1\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/7 in 4, 0.2, -58, 8\/3, -9.1?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 674636930?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 82 + -81. Which is the nearest to t? (a) 3\/7 (b) 3 (c) -8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 11 and 1515717 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 271637834?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -223.83 + 3.83. Let y = i + 222. Sort -2\/5, -0.1, y in increasing order.\nAnswer: -2\/5, -0.1, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2094.144 millilitres to litres.\nAnswer: 2.094144","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 15569 to the power of 1\/2, to the nearest integer?\nAnswer: 125","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m = m - 20. Let f(k) = -4 - 3 + m - k. Determine f(6).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/((-2)\/(-1)*(-8)\/(-32))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is v in -5*v**5\/3 - 16420*v**4\/3 - 18114605*v**3\/3 - 2288163990*v**2 - 55649800260*v - 53367669000 = 0?\nAnswer: -1086, -25, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) be the third derivative of o**4\/3 + o**3\/3 - 9*o**2. What is the derivative of z(d) wrt d?\nAnswer: 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -t**2 + 13*t - 17. Let q be i(11). Find the third derivative of -2*y**q + 0 + 0 + 7*y**2 + 0 wrt y.\nAnswer: -120*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24803 = -5703*f + 47384 + 34449 for f.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 4481.789 years?\nAnswer: 44.81789","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -6392, -6367, -6328, -6275?\n\"Answer: 7*c**2 + 4*c - 6403","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 60 divide 35164440?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -p**3 - 11*p**2 - 7*p + 28. Let v be s(-10). Let f be v\/((-11)\/((-11)\/(-24))). Let x = 13 - 9. Which is the nearest to 0? (a) x (b) f (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = 3*v, 6*v + 917 = 3*g + 5*v. What is the greatest common factor of g and 57?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) be the second derivative of 27*l**4\/2 + l**3\/3 + l**2\/2 + 5*l. Is k(-1) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -19 - 113?\nAnswer: -132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -6*k**2. Let j(a) = 24*a**2. Give j(s(l)).\nAnswer: 864*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -20 - -44. Suppose -2*w + q = -4*w. Let c be (4\/w)\/(3\/(-9)). Calculate the greatest common divisor of c and 5.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 2, l: 6}. What is prob of sequence kkl?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Work out 9806 * 0.0641.\nAnswer: 628.5646","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: Expand 2*i**4 + i**4 + i**4 + i**2 - i**4 - i**2 + (1 + i**2 - 1)*(-2*i**2 - 2*i**2 + 3*i**2) + 7*i**4 + 8*i**4 - 7*i**4.\nAnswer: 10*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 488 - 949\/2. Find the common denominator of p and (-4)\/10 - (-201)\/(-35).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -9862724 < -3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vznzsvvscvvcnnsv. What is prob of picking 2 c and 2 z?\nAnswer: 1\/1820","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -55*n = -192*n + 274. What is the fifth smallest value in -4, 1, n, -0.08, -5?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4536.976 kilometers in centimeters?\nAnswer: 453697600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -296, -591, -886?\nAnswer: -1181","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 731743 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -29 + 23 + -7 - (0 + -20)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 46.191762s to days.\nAnswer: 0.000534626875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 7127 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = r**3 + 3*r**2 - 4*r - 3. Let h be t(-4). Let i(d) = d + 8. Let z be i(h). Solve -4*w = -z*m + 3, -5*w = -m + 5*m + 14 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = 24*r**2. Let g be o(1). Suppose 4*q = -0*q + g. Let x(i) = -7*i**2 + i - 7. Let z(f) = 8*f**2 - f + 8. Determine q*x(w) + 5*z(w).\nAnswer: -2*w**2 + w - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 17965 is divided by 2985.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = 548*y + 151. Let i be (6\/2)\/((357\/(-56))\/(-17)). Is w(i) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -146 by -5439.\nAnswer: 146\/5439","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3 - (2 + -4 - -1)) + (-693 - -687)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 51257566 to the power of 1\/7, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express c + 0*c + 5780*c**3 - 5*c + 2*c**4 + 2*c**2 - 5777*c**3 - 5*c**2 in the form y*c**4 + x + p*c**3 + u*c**2 + i*c and give i.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 2, j: 5}. Give prob of sequence kj.\nAnswer: 5\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*p**4\/9 - 86*p**3\/9 + 1132*p**2\/9 - 4576*p\/9 = 0. Calculate p.\nAnswer: 0, 8, 13, 22","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 3 - y)*(61*y**2 - 6 - 58*y**2 + 100*y**3 - 102*y**3).\nAnswer: 2*y**4 - 3*y**3 + 6*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -6 - -11. Let h = 0.2 + -0.16. Let k = h + 1.96. What is the second smallest value in 3\/2, k, z?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(343) + (sqrt(343) - sqrt(343)*1)*2 - sqrt(343) - (-1 + (-1 + sqrt(7))*4).\nAnswer: -4*sqrt(7) + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z - 8430 = -3*i, -z - 2109 = -201*i + 200*i. Which is smaller: -2102 or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.17252 + -4.82748. What is the closest to l in -1\/8, -2\/7, 0.01, 1\/6?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-2*sqrt(567)*-5 - sqrt(567)) + -1)*1)**2.\nAnswer: -162*sqrt(7) + 45928","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 26\/9 and -2 + 1 + (-156)\/84?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + sqrt(72) + -3 + 0)**2.\nAnswer: -84*sqrt(2) + 121","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -2421243 - 24012?\nAnswer: -3000310","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 46955.\nAnswer: 5, 9391","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -42 - -19. Let y = z + 51. Is y a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*s + 89 = 41 - 192 for s.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 44851 + 35189 + 11607 = 1797*y for y.\nAnswer: 51","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p + 6*p = 0. Find the third derivative of 54*v**2 + 0*v**4 - 9*v**5 + p*v**4 - 66*v**2 wrt v.\nAnswer: -540*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -116385 or -116386?\nAnswer: -116385","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 44*b - 145*b - 18 + 66*b.\nAnswer: -35*b - 18","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) be the second derivative of -b**6\/720 - 19*b**5\/60 + b**4\/12 + 32*b**2 + 38*b + 2. Let r(i) be the third derivative of j(i). Calculate r(0).\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 423?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1300) - sqrt(1300)*2) + sqrt(1300))*3 - (sqrt(1300) + 1 + 4).\nAnswer: -10*sqrt(13) - 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (13*u - 31*u + 19*u + 88)*(-1 + 1 + 2*u)*(8*u**2 - 55*u**2 - 51*u**2).\nAnswer: -196*u**4 - 17248*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qzzahh. What is prob of picking 1 q and 2 z?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2180108, 4360198, 6540288, 8720378, 10900468?\nAnswer: 13080558","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = x**2 - 3*x + 2. Suppose 6*s + 10 = s. Suppose 3 = -3*z + 4*z. Let n(b) = b**2 - 2*b + 1. Let l(j) = s*i(j) + z*n(j). Solve l(m) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5779846637 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -2*h + 5. Calculate the remainder when 15 is divided by f(-2).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 412006060.\nAnswer: 2, 5, 20600303","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = 1 - 2*d - 3 + d**2 + 5. Let u(v) = -3*v + 2. Suppose -44 = 1161*r - 1183*r. Calculate r*p(a) - 3*u(a).\nAnswer: 2*a**2 + 5*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**(3\/5)\/n)\/(n\/(n*n**13*n)*n))**(2\/111) assuming n is positive.\nAnswer: n**(42\/185)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = 3*h - 2. Let b be c(1). Solve 4*p - 19 - b = 0 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w - 38 = 13*d - 12*d, 5*w - 70 = -5*d. What is the common denominator of 670\/(-48) - w\/(-104) and 89\/16?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = l**2 - 14. Give i(6).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -5*i - 4. Let a(d) = -5*d + d - 3*d - 1. Let h be a(1). Is 17 a factor of k(h)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -67\/60 and 107\/60?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -29 - 249*r - 668*r + 29.\nAnswer: -917*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 429 and 117.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -186 + 186.5. Which is the smallest value? (a) 8 (b) w (c) -10\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5.290919 kilograms to tonnes.\nAnswer: 0.005290919","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 3\/8 (b) -0.1 (c) 4 (d) -0.06 (e) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -3*u - 9. Let g be t(-8). Suppose 2*m = -3*i + 11, 6*m = 3*m - 4*i + g. Which is smaller: m or -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-6)\/8)\/((-309)\/(-3296))?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1178153*y + 1178171*y - 306 = 0 for y.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -553.954 + 554. Let s = t + -17.236. Round s to 1 decimal place.\nAnswer: -17.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1924*x**2 + 4*x + 43*x + 961*x**2 + 961*x**2 + 8*x.\nAnswer: -2*x**2 + 55*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 1433, 1274, 1115?\n\"Answer: -159*d + 1592","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-36)\/16)\/(2\/16). Let n = s + 26. What is the units digit of n?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1170\/270)\/(1*(-1)\/3)*(-13)\/(-13).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -33 (base 8) to base 3.\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = 13*w - 1. Let p = -17 + 8. Let d(r) = -3*r. Let f(t) = p*d(t) - 2*h(t). Calculate the lowest common multiple of 7 and f(8).\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 928 rounded to the nearest 100?\nAnswer: 900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 5132196.999964 + -5132225. Let f = p + 28. What is f rounded to five dps?\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2091, -3, -1, -20, -5 in descending order.\nAnswer: 2091, -1, -3, -5, -20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*j - 3*i - 32, 0 = -j + 2902*i - 2904*i - 4 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1 + 20. Suppose 0 = -5*h + 20, i + 4*h - j + 3 = 0. What is the least common multiple of 6 + i + -1 + 1 and 8?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 10 + -14. Let p = v + 13. Let x(o) = o + 2. What is the units digit of x(p)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -34 - (-20 + (-6 - -29 - 0 - 9))?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -536*a - 5863. What is x(-11)?\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -3468, -6936, -10404, -13872, -17340, -20808?\n\"Answer: -3468*z","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 2013 a factor of 679036026?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 403082 is divided by 492?\nAnswer: 134","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-1\/2)*b**(-4\/9)*b*b)\/((b**(4\/7)\/b)\/(b\/(b*b\/((b**(-2\/9)*b)\/b))))*b**6\/b**1*(b*b*b**7*b)\/b*b\/(b**5\/b) assuming b is positive.\nAnswer: b**(473\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = 6*k. Suppose -195*v = -130*v - 65. Calculate i(v).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*g - 4*g + 48 = 0. Suppose -2*u + 2 = -2*l + g, -4*l - 4*u = -4. Suppose 3*r + 2*x - 197 = 3*x, -4*x + 217 = l*r. List the prime factors of r.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j\/((j**(2\/7)*j)\/j))**0*j**(-9)*j*j*j**8)**(-3\/11) assuming j is positive.\nAnswer: j**(-3\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 33\/(-22)*(0 - -2). What is the smallest common multiple of 6 and ((-3)\/(-18)*-2)\/(r\/198)?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4951679 to the nearest integer?\nAnswer: 2225","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -56*q**2 - 69 + 80 - 3948*q - 2*q**3 + 3945*q to z*q**3 + y*q + s + x*q**2 and give z.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor -18*u**2\/17 + 44196*u\/17 - 27128978\/17.\nAnswer: -2*(3*u - 3683)**2\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 41869549 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 8824631 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -549776*y**3 - 3*y**4 + 549776*y**3 - 211 + 3*y - 141*y**5 wrt y?\nAnswer: -2820*y**3 - 36*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -u**2 + 22*u + 246. Let w be i(-8). Solve 4*j - 16 = 0, 2*a - 3*j + w*j = 4 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -943*a**3*w**3 - a**3*w**2 + 3*a**3 + 60*a**2*w**3 + 7*a**2*w**2 + 4*a**2*w + 2*w wrt a.\nAnswer: -5658*w**3 - 6*w**2 + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -5\/1589584 and 79\/30996888?\nAnswer: 61993776","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.4*1845.\nAnswer: 738","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -20, 12, 6 in descending order.\nAnswer: 12, 6, -2, -20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 16 + -6 + -17 + 3\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 593 and 203992?\nAnswer: 593","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -5*w + 0 + w**2 + 4 + 0 + 0. Let y be t(4). Let g be y + -2 + 2 + 0. Solve g = -0*d - 5*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = 14*s + 26. Let w(f) = -13*f - 24. Let t(z) = 3*b(z) + 4*w(z). Let m be t(-3). Suppose -23 - 1 = -m*d. Solve 0 = -n + 1 - d for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2.48 + 0.32. Let y = x + -7.8. Which is the third smallest value? (a) y (b) 3 (c) -2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y\/y**2*y)**(-16\/5))**(18\/5)\/(y**(-1\/8)*y**1*(y**(-3)\/y)\/(y\/(y\/(y\/(y*y**(2\/5))*y)*y)*y)) assuming y is positive.\nAnswer: y**(149\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -13, 46, -117 in ascending order.\nAnswer: -117, -13, 5, 46","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 101101000101001 (base 2) to base 12.\nAnswer: 11435","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 5843154*i**3 + 3*i**2 - 5843154*i**3 - 8905*i**6 - 197*i + 3 wrt i.\nAnswer: -1068600*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.2, 4, 5\/6?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1919.459ng to grams.\nAnswer: 0.000001919459","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 7 - 4. Let v = -1 + 1. Suppose 1 = -f - v. Sort -3, n, f in decreasing order.\nAnswer: n, f, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l + 32 = 47. Solve -l = -0*r + r for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -14.83 - -15. Let g = q + -0.17. Is g at least -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*p + 12 = -3*u + 2*p, p = 3*u for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2632843.\nAnswer: 83, 31721","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 355 is divided by 36.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 532 - 317. What is the units digit of w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ffffff. What is prob of picking 2 f?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (3\/(-2))\/(3\/(-8)). Let n be 3 + 3\/s - 4. Which is greater: n or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l**4 - 960400 - 6721*l**2 + 14104*l**3 + 135240*l - 7043*l**3 - 6923*l**3 = 0. What is l?\nAnswer: 20, 49","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 52*s + 25*s - 203 = 28 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 16 + 66. What are the prime factors of g?\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3305?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.33 - 36.33. Let v = h + 35.6. Which is the second biggest value? (a) 1 (b) 44 (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = o**3 + 8*o**2 + 7*o + 3. Let r be a(-7). Suppose -q = r*q - 64. What are the prime factors of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c + 4*x = -23, 3*c + 26 = 4*c - 3*x. Is 23 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 13.7 + -2.7. Let x = s - 11.3. Let f = -0.43 - -8.43. Which is the nearest to -1? (a) 0.3 (b) x (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (42\/(-392))\/((435\/(-720))\/29*4\/2)?\nAnswer: 18\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 48 minutes after 9:36 PM?\nAnswer: 10:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + -3 + (-2*sqrt(128) - sqrt(128)))**2 + 1 + -1.\nAnswer: 48*sqrt(2) + 1153","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 0 + 9 - (-6 - -3)\/(-3). Let l be 43*1*((-7)\/(-7) + n). Calculate the highest common factor of l and 43.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 0.5, 1, 12, -6\/121, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.2, -85, -2 in ascending order.\nAnswer: -85, -2, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 50 (b) -1\/7 (c) 14\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (31 - (-28 - -16)) + (-1 - 74)?\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine r, given that -2*r**3\/3 + 56*r**2 - 904*r\/3 - 832 = 0.\nAnswer: -2, 8, 78","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -371*c - 4821. Let h be x(-13). Let n(g) = -9*g**3 - 3*g**2 + 4. Determine n(h).\nAnswer: -80","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 - -9) + (-2 - 6 - (335 - 361))?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -u**3 + 4*u**2 + 4*u + 5. Let n be w(5). Suppose -2*m + 14 = -n. Calculate the remainder when 12 is divided by m.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = n**2 + n. Let s(k) = -6*k**2 - 12*k. Let y(a) = -14*r(a) - 2*s(a). Let l(f) = -24*f. What is y(l(g))?\nAnswer: -1152*g**2 - 240*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 255 times 13.1?\nAnswer: 3340.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express 10*s**2 + 1 + 18*s**2 - 25*s**3 + 13*s**2 - 43*s**2 in the form v*s**2 + b*s + f*s**3 + h and give b.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/3? (a) -2 (b) -1\/4 (c) 0.03 (d) -3 (e) 30\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 7 and 371?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*h - 837 = -4953. Suppose v - h = -v. Round v to the nearest 10.\nAnswer: 340","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 93121 and 222229?\nAnswer: 371","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -130459 - 29217 = -11*b. List the prime factors of b.\nAnswer: 2, 19, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = 394 - 394 - 2*u**2. Let z(v) = -19*v**2. What is z(y(c))?\nAnswer: -76*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 14885980537 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1393 is divided by 334?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -g**3 - g**2 + 2*g + 2. Give p(-2).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (442 + 30*f - 442)*(3*f**4 - 3*f**3 + 3*f**3).\nAnswer: 90*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = 11 - q**3 - 8*q + 2*q - q**2 + 11*q**2 - 4*q. Let d be c(9). Solve -2*a - d*w - 2*w = -10, 4*w - 14 = 2*a for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1500 - -1460. Let s(d) = -34*d - 1. Let i be s(1). Let a = i - p. Let y(x) = -7*x - 3. Let n(w) = 6*w + 2. What is a*n(g) + 4*y(g)?\nAnswer: 2*g - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -p**4 + 697*p**3 + 627*p wrt p.\nAnswer: -12*p**2 + 4182*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -8 + 13. Let w(k) = -k**3 - 26*k**2 + 511*k - 36. Calculate the remainder when w(13) is divided by r.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = 5*c**2 + 19*c - 36. Let r(q) = -q**2 - 1. Let l(n) = 6*r(n) + t(n). Let g be l(24). Let p = 260 + g. List the prime factors of p.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 109868?\nAnswer: 2, 11, 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 0 + (-1 - 1) + 0. Suppose -73*t - 13*t + 2106 = 31*t. Calculate the remainder when c + (-2 - -1 - -56) is divided by t.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = 383*i**3 - 6*i**2 + 18*i + 5. Is r(4) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-10)\/3*12\/2. Let i be (-2)\/(-1)*k\/(-8). Suppose 0 = -0*n + i*n. Which is the nearest to -1\/3? (a) 3\/4 (b) -4\/3 (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -373323.6541 to the nearest one thousand.\nAnswer: -373000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + (3 - -1 - -6) - 8?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j = i + 4, 2*i + 0 = j + 1. Suppose 0 = j*c + 6 - 42. Solve 4*a = 32 - c for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (11 - (-6 + 6)) + -18?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -n + 5. Let r be o(3). Suppose 22 - 18 = r*l. Which is greater: l or 4\/5?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1514\/231 + -70\/11. Let j be (-6)\/(-33) + 180\/99. Factor 2\/21*k + p - 2\/21*k**j.\nAnswer: -2*(k - 2)*(k + 1)\/21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by 1035542?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = 2*x**2 - 20 - 2*x + 18 + 8*x. Let g be (0\/(1*-2))\/(-1). Let h(q) = 7*q - 3 + q**2 + q**2 + g*q**2. Determine 4*h(t) - 5*l(t).\nAnswer: -2*t**2 - 2*t - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -0.39 + 31272\nAnswer: 31271.61","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n**2\/9 + 5762*n\/3 + 138416\/9 = 0. What is n?\nAnswer: -8, 8651","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:59 AM and 6:51 PM?\nAnswer: 592","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-4)\/2 + 9 + 1. Let r = -5 + t. Suppose -5*o = -r*q + 227, q - o + 397 = 6*q. Is q prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v + 148 = v. Is v a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 106 - 32. Suppose 0 = 6*x - 266 + u. What are the prime factors of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c = 3*b - 26, 9*c - 5*c + 28 = 3*b. Let o be (-9)\/12*(-2)\/b. Let l be (7 - 5)\/(1 + 1). What is the biggest value in l, -1\/3, o?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -3*i + 33. Let f(a) = -a + 5. Let d(w) = -5*f(w) + y(w). Let b(t) = 6*t. Give b(d(n)).\nAnswer: 12*n + 48","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 8 + 0. Suppose -p*n = -3*n - 35. Calculate the remainder when 18 is divided by n.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 10665904*k**2 - 120149*k - 14 wrt k.\nAnswer: 21331808","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Determine l so that l**5\/3 + 5*l**4\/3 - 7*l**3\/3 - 5*l**2\/3 + 2*l = 0.\nAnswer: -6, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.5, 1, 0, -3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.3 in -35, 0.3, 67\/3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 60 minutes after 2:40 PM?\nAnswer: 3:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 75 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = 1 - 62*s**2 + 5*s + 66*s**2 - 2 + 2. Let i(q) = -2*q**2 - 3*q. Let l = -1 + -4. Let f(j) = l*i(j) - 3*v(j). What is the derivative of f(u) wrt u?\nAnswer: -4*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**1\/y**(5\/4))\/(y*y*y**(1\/16)*y*y**9) assuming y is positive.\nAnswer: y**(-197\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0 (base 3) to base 13.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 768*s**2 - 767*s**2 - 6272*s - 356*s.\nAnswer: s**2 - 6628*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is (-2746)\/((-8 - -1)*(-10)\/(-35)) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 36569693 is divided by 20.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = t**2 + 6*t - 2. List the prime factors of v(4).\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -b + 12. Let v be i(13). Let h be (-3)\/(v*12\/(-32)). Find the common denominator of -133\/18 and (-12)\/h*(-159)\/9.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand o**5 + 2*o**5 - 4*o**5 + (-5*o**3 + 3*o**3 + 3*o**3)*(-2*o**2 - o**2 + 13*o**2).\nAnswer: 9*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ym when two letters picked without replacement from {m: 1, y: 2}?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 22*267.\nAnswer: 5874","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d + 5*n - 573 = 2*n, d = n + 145. Let o(u) = u**3 - 5*u + 4. Let v be o(3). What is the highest common divisor of d and v?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 134\/(-3) - (-2)\/3. Let b(y) = -132*y - 95. Let m be b(-3). Let i = m + p. Is i prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2807 equal to 2807?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o = -2*a - 25395, 4*a - 2*a + 25397 = 3*o. Round a to the nearest 1000.\nAnswer: -13000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -16968040 take away 62373.8?\nAnswer: -17030413.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 26 divided by -269.\nAnswer: -26\/269","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*d*u*z**2 + 342655*d*u*z - 11052*d*z**2 - 19*d*z - 24*u*z**2 - u*z - z**2 wrt z?\nAnswer: -4*d*u - 22104*d - 48*u - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) be the first derivative of -12\/5*w**5 + 0*w**4 + 0*w - 7 + 0*w**3 + w**2. Find the second derivative of l(x) wrt x.\nAnswer: -144*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2 (b) 4643 (c) 15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (25\/(-10))\/(8\/(-16)). Solve 17*h - l*h + 36 = 0 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = 10*g - 17 + 20*g**2 - 10*g. Let p(x) = 7*x**2 - 6. Let f(v) = 17*p(v) - 6*s(v). Let b(j) = 4*j**2. Give f(b(i)).\nAnswer: -16*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) be the first derivative of -7*m**4\/24 + m**3\/6 - 4*m**2 - 7. Let a(c) be the second derivative of r(c). Differentiate a(q) wrt q.\nAnswer: -7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -48*j + 46*j + 90. What is the smallest common multiple of 30 and j?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3\/4 in -5, 0.5, -0.1482?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 832 is divided by 150?\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -4*a - 8. Let y(q) = 2*q + 4. Determine -3*w(r) - 7*y(r).\nAnswer: -2*r - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 185667 is divided by 6402?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 17\/(289\/357)*(-2)\/(-6).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 3\/(12\/8) - 3. Let j(q) = 2*q**2. Let y be j(m). Find the third derivative of 8*v**2 + 4*v - y*v**2 - 4*v - 3*v**3 wrt v.\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.0914 from 0.3.\nAnswer: 0.2086","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 51 bigger than -0.28046?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 2 + 3)*(23*v**5 - 30*v**5 - v**4 + 13*v**5).\nAnswer: 12*v**5 - 2*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -x**3 + 11*x**2 + 13*x - 8. Determine g(12).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 31 + -20 - 4\/(8\/14). Solve 0 = -r*i - 3*z + 4 + 3, -5*i + 2*z = -26 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -10115*k + 6141. Is t(-90) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -8 (b) -1 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1092 and 252?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*f**4\/5 - 381*f**3\/5 - 1081*f**2\/5 + 294*f\/5 = 0 for f.\nAnswer: -3, 0, 1\/4, 98","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7 = 3*w + 4*l - 13, 2*w = -3*l + 15 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 12369 a multiple of 133?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 16*c*o**3 - c*o + 135*o**3 + 352*o wrt o?\nAnswer: 96*c*o + 810*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v*v**6*v\/(((v**(-4)\/v)\/v)\/v*v)*(v**(1\/2))**21)**(2\/13))**(-17\/3) assuming v is positive.\nAnswer: v**(-833\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 195 to the power of 1\/3, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 3 + 6)*(-5*w**4 + 2*w**4 + 5*w**4).\nAnswer: 12*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) be the third derivative of h**8\/2184 + 17*h**7\/1365 + 21*h**6\/260 - 27*h**5\/130 + 127*h**2. Determine f so that v(f) = 0.\nAnswer: -9, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s + 6 = -9. Let z = 7 - s. Suppose -11*o = -9*o - 4. Solve -z = -o*c, r + 3*c + 10 = 5*c for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n - 8181 = 4*n - 3*p, 3*p + 6 = 0. Let g = -2231 + n. What is g rounded to the nearest 1000?\nAnswer: -5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -u**2\/4 + 64045*u\/2 - 4101762025\/4.\nAnswer: -(u - 64045)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 557*d - 556*d = 10. What is the lowest common multiple of d and 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4574 times 0.03\nAnswer: -137.22","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2 + 1 - 2*n**2 + n**2 - 4 wrt n?\nAnswer: -2*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 92\/(-23) - (-23)\/5?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i + 3*h + 141 = i, -4*h = -3*i + 142. Suppose 3*g + 72 = -3*l, 104 = -5*l - 0*l - g. Let z = l + i. Is z a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zzzrzizriirzizzzzz. Give prob of picking 1 r and 1 i.\nAnswer: 4\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3 (base 7) to base 10.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 18\/5 of a milligram?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) be the third derivative of -w**5\/330 - w**4\/66 + 319*w**2. Factor u(x).\nAnswer: -2*x*(x + 2)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = f**3 + 3*f + 2. Let x(n) = n**2 - n. Calculate a(k) + 3*x(k).\nAnswer: k**3 + 3*k**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 14243 to the nearest integer?\nAnswer: 119","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -7 - 19. Let d = z - -28. Which is the second smallest value? (a) d (b) 1\/3 (c) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 384*-5\nAnswer: -1920","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 1\/1758?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 59374766?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 50 divide 3050?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/13, -6.6, -15, 1\/6, 2\/5 in decreasing order.\nAnswer: 2\/5, 1\/6, 2\/13, -6.6, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:24 AM and 6:33 PM?\nAnswer: 429","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1829 and 31?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -0.4 (b) 7 (c) -5\/4 (d) -1\/9 (e) -4694\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -7*d**2 - 221*d + 1109. Determine a(6).\nAnswer: -469","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*q + 205 - 3*q - 205.\nAnswer: -7*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 6773, 6758, 6719, 6644, 6521?\nAnswer: 6338","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(2\/21)\/((l*l**(1\/11))\/l))\/(l\/(l*l**11)*l\/l**(6\/19)*l) assuming l is positive.\nAnswer: l**(40906\/4389)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xzv when three letters picked without replacement from hhhkxhzzzdvhd?\nAnswer: 1\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) be the first derivative of 25*o**3\/3 - 45. Let a(d) = -4*d**2. What is i(a(v))?\nAnswer: 400*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ddrrqq. Give prob of picking 1 d and 1 r.\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*g = -632 - 729 + 1487 for g.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = 3*h**2. Suppose -12*f - 377 = 319. Let x = -52 - f. Let p(d) = 5*d**2. Calculate x*p(t) - 11*w(t).\nAnswer: -3*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 - (0 - -3) - (-9 - 18)?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2561*t + 2523*t + 608 = 0 for t.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or 2\/101?\nAnswer: 2\/101","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*k + 128 - 144 for k.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 458 is divided by 17.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 33945 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = r**3 - r**2 - 2. Let t be m(2). Solve 0*g = t*g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = 2*v**2 + 7*v - 7. Let i be a(-6). Let h(q) = q**2 + 4*q - 31. Let g = 183 - 171. Let u be h(g). Calculate the greatest common factor of u and i.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 0 + 1)*(s - 4*s + 2*s)*(-2 + 0 + 4).\nAnswer: -4*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-75)\/10)\/(6\/12)*(4 - 785284). What is i rounded to the nearest one million?\nAnswer: 12000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11262715 a multiple of 2825?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -3*m - 4. Let z be k(-9). Suppose 4*b + 30 = 5*c, -c + 3*b - 8*b = z. Let u be -2*1\/c*-3. Sort 5, 4, u in increasing order.\nAnswer: u, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3 + -5. Let x be (-3)\/o + 2\/4. Is 4 a factor of (-117)\/(-15) - x\/(-10)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 1\/3 (b) 4 (c) -0.2 (d) -488\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 72?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 196857 even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t = -3*t + 4*q + 52, -2*t + 3*q + 25 = 0. What is the greatest common factor of 64 and t?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) be the third derivative of -g**4\/24 - g**3\/3 - g**2. Let m be p(-2). Find the common denominator of 1\/4 and ((-37)\/4 - m) + 0.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) be the second derivative of -o**5\/5 + 3*o**3\/2 - 7*o. What is the second derivative of d(v) wrt v?\nAnswer: -24*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.8498368 to two dps.\nAnswer: -1.85","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4 minus 1204.53?\nAnswer: -1204.93","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-484)\/(-121))\/((64\/(-76))\/(-1)).\nAnswer: 19\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 48 a factor of (18180\/35)\/((-66)\/(-1232))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 101 - 193 - 6*d + 92.\nAnswer: -6*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -9, -3, -14 in decreasing order.\nAnswer: 3, -3, -9, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 141694 to the nearest integer?\nAnswer: 376","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 326713.2 hours?\nAnswer: 1176167520","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 132\/48 + 1\/4. Let a(b) = 1807 + b + h*b - b**2 - 1802. Give a(5).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (161\/6534990*180)\/((12\/22)\/3).\nAnswer: 1\/41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2536, 2553, 2572, 2593, 2616, 2641, 2668?\nAnswer: 2697","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) be the third derivative of n**4\/24 + n**3\/6 + n**2. Suppose -l - 28 + 27 = 0. Calculate v(l).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-1647)\/(-122))\/((-24)\/(-382)). Let l = -851\/4 + g. Calculate the common denominator of l and 149\/102.\nAnswer: 408","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1482 at most as big as 1486?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-3)\/((-6)\/(-3) - 1). Let b(x) = -x. Let g(k) = -1. Let s(r) = -b(r) + 4*g(r). Let z(h) = 11 - 2*h + 2*h - 2*h. What is w*z(v) - 8*s(v)?\nAnswer: -2*v - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.5 and -607539270766.\nAnswer: -607539270765.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -34324.717 rounded to the nearest one hundred?\nAnswer: -34300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*g**3\/4 + 669*g**2\/4 - 660*g + 657.\nAnswer: -3*(g - 219)*(g - 2)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Determine y so that 4*y**3 - 2916*y**2 + 529980*y + 532900 = 0.\nAnswer: -1, 365","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: (4\/16)\/((-1140)\/(-1824))\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.5 * -30.\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fpi when three letters picked without replacement from {i: 2, s: 1, y: 2, f: 1, o: 1, p: 2}?\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4d (base 15) to base 3.\nAnswer: -2201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(3*3*2*(-1 + sqrt(45) + sqrt(5)))**2.\nAnswer: -10368*sqrt(5) + 104976","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*i - 2*i + 35 = 0 for i.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*n**3 + 5*n**2 - 20*n - 20 = 0 for n.\nAnswer: -2, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert -20703 (base 10) to base 7.\nAnswer: -114234","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 7 + (10 - 2) - 9\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is three tenths of a microgram in nanograms?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 83245, 83248, 83273, 83332, 83437, 83600, 83833, 84148?\nAnswer: 84557","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -4776, -4777, -4778?\n\"Answer: -x - 4775","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (612\/234)\/34*-3?\nAnswer: -3\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -11.5, 11, 3, -2352 in ascending order.\nAnswer: -2352, -11.5, -3, 3, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -1.2, 0.3, -3\/5, -1, 8, 19.5, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 15*a**2*i**2 - 2*a**2*i - 3*a**2 - a*i + 1 wrt i?\nAnswer: 30*a**2*i - 2*a**2 - a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 2213.3699 days in weeks?\nAnswer: 316.1957","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: ((-13)\/(364\/(-8)))\/(408\/(-56))\nAnswer: -2\/51","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h = 6*h. Suppose -2*o - 5*k + 217 = h, 3*o - 406 = k - 55. Is o a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in seventy-four fifths of a kilometer?\nAnswer: 14800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -39\/80 and -67\/970.\nAnswer: 7760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 8\/7, -1\/2, -63.45, -3 in decreasing order.\nAnswer: 4, 8\/7, -1\/2, -3, -63.45","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 40 - 49. Let r = 12 + b. Let x be 27\/(-85) - 8\/(-40). What is the closest to x in r, -0.2, 0.4?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 2\/5, 2, -11 in descending order.\nAnswer: 2, 2\/5, -5, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Add -818.5 and -936155188.\nAnswer: -936156006.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1.680304584 + -115211.\nAnswer: -115209.319695416","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/9? (a) -26 (b) -5 (c) -3\/8 (d) 5\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1652 + 194*r**3 - 1652.\nAnswer: 194*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.1867 + -0.0133. What is the fourth biggest value in 0, f, -0.116, 1?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.0228? (a) -1\/21 (b) -1\/7 (c) -5 (d) -5\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*x**3 + 20892*x**2 + 41772*x + 20884.\nAnswer: 4*(x + 1)**2*(x + 5221)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 20357241?\nAnswer: 3, 137, 49531","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Determine u so that 232\/3 - 370\/3*u**4 - 2*u**5 - 1298\/3*u**3 - 426*u**2 - 112\/3*u = 0.\nAnswer: -58, -2, -1, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = o + 1. Let q be z(2). Suppose -9 = -2*d - q*x, 3*x - 5*x + 3 = d. Solve -b - 9 - d = -3*y, -5*y = 3*b - 16 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.08284009295 less than -5392.3?\nAnswer: -5392.21715990705","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -2229*m + 62796. Give h(28).\nAnswer: 384","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = 4*k**3 - 2*k**2 - 1. Let u(d) = 16*d**3 - 9*d**2 - 3. Suppose -7 = -q + 2. Let o(z) = q*r(z) - 2*u(z). What is the first derivative of o(a) wrt a?\nAnswer: 12*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 92133, 1, -0.1 in decreasing order.\nAnswer: 92133, 1, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 390 and 1974.\nAnswer: 128310","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 7, -5, -44, 5, 4, -118 in decreasing order.\nAnswer: 7, 5, 4, -5, -44, -118","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(3\/8))**(1\/8)\/(a**(-2\/7))**(2\/37) assuming a is positive.\nAnswer: a**(1033\/16576)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/4)\/((-56)\/224)*7\/(-2).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -172\/39 - -40\/13. Let v(i) = 14*i - 232. Let m be v(0). Let k = m - -1627\/7. Which is the fourth smallest value? (a) 12 (b) -2\/3 (c) g (d) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2460 and 2050.\nAnswer: 12300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2187659*p**3 - 3000849*p**2?\nAnswer: -13125954","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q - 564 = -r, -2 = 5*r + 3. Is q a multiple of 34?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2619 + -2617. Let l(s) = -s + 5. Let k be l(-5). Solve n*p = -0*p + k for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1101 + -10001011101101000101?\nAnswer: -10001011101101010010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Add together -927.78 and -2498.\nAnswer: -3425.78","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 585 minutes before 1:48 AM?\nAnswer: 4:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**(2\/13)\/h)\/h*h**(3\/4))\/(h\/(h\/h**(-2\/19)*h))**(15\/2) assuming h is positive.\nAnswer: h**(7107\/988)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -26157 - -26169. Calculate the remainder when 3848 is divided by c.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -5 (base 14) to base 11.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 741*n**2 + 58719*n**6 + 3*n - 8*n**4 + n - 4*n - 2 - 58779*n**6 wrt n?\nAnswer: -7200*n**3 - 192*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = 4*b + 7 - 3*b - 3 - 2*b - 9. Let u(p) = -p**3 + p**2. Let t(x) = -2*x**3 + 7*x**2 - 4*x + 2. Let a(o) = t(o) - 3*u(o). Let j be a(-5). Give z(j).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -145*c + 2. Determine l(-1).\nAnswer: 147","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (18\/216)\/((-11)\/8)?\nAnswer: -2\/33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2460*l**2 + 2*l**4 - 2461*l**2 - 2 - 4*l - l**4 - 5*l**3 to the form x*l**2 + d*l + h + u*l**3 + t*l**4 and give t.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 28372 to the power of 1\/5, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l - 9 = -0. Let u(h) = -7*h - 6*h**l - 3 + 3 + 7*h**2. Let i(j) be the first derivative of j**4\/2 - 2*j**3\/3 + j**2 + 1. Give -7*i(d) - 2*u(d).\nAnswer: -2*d**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1.6 - -1.3. Let g = -0.1 - -0.1. Let q = -0.2 - g. Put s, -5, q in increasing order.\nAnswer: -5, s, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = 6*b**2 - 103*b - 641. Determine y(-7).\nAnswer: 374","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -3*c**3 + 29*c**2 + 134*c - 25. Let d be o(13). Suppose -3*a = -4*a. Solve a = d*y - 23*y + 8 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = -2*s - 4*p, -2*p = -3*s - 5*p + 18. Suppose -4*c = 4*w - 489 + 145, 3*c = -s*w + 345. What is the tens digit of w?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-44)\/(-6))\/(2\/6). Calculate the least common multiple of 7 and -2*2\/((-8)\/a).\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1413337?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 71 and 5822?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put -105, 0.2, -5, 1\/3, -4 in increasing order.\nAnswer: -105, -5, -4, 0.2, 1\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 19.5 + -19. Which is the nearest to 0.1? (a) 2 (b) q (c) -2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -183 times -0.6?\nAnswer: 109.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -30 + 26 + (0 - -2)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is i in i**3\/9 - 21757*i**2 + 3193627841*i\/3 + 469933557289\/9 = 0?\nAnswer: -49, 97931","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 402476704 a multiple of 2118?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -19 + 15. Let h(g) = -g**2 + g - 1. Let c(l) = 2*l**3 + 6*l**2 - 4*l + 5. Determine q*h(u) - c(u).\nAnswer: -2*u**3 - 2*u**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -0.1, -5.9898, -4, -2\/7, 3?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c = 6*c - 15. Suppose 4*v = -b + 229, 0 = 4*v - c*v + b + 61. What is the remainder when v is divided by 30?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -1 + 3 + (-6 - -7). Let m be s*-4*867\/(-18). Let t = m + 412. Round t to the nearest 100.\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.5 times -0.005922769\nAnswer: 0.0029613845","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5157999.\nAnswer: 3, 7, 11, 827","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3\/21)\/(44\/(-88)).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 38634 and 3666?\nAnswer: 282","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 142 + -76. What are the prime factors of c?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k = 5*s - 5, -k = 4*s - 12 + 5. Solve 4*w + 8 = s*v + 5*w, -7 = -4*v - 5*w for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:01 PM and 9:46 PM?\nAnswer: 165","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 70473 + 70470 - 136*d - 140951 to g + r*d and give r.\nAnswer: -136","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -2*a**2 - 3. Let u(h) be the second derivative of h**4\/6 + h**2 - 605*h. Suppose -3*v = -7 + 1. Determine v*t(z) + 3*u(z).\nAnswer: 2*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -g**2 - 5*g - 5. Let s be i(-5). Let w(q) = -1878*q**2 + 216*q - 200*q - 16 + 1918*q**2. Let p(k) = 13*k**2 + 5*k - 5. Calculate s*w(y) + 16*p(y).\nAnswer: 8*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:48 AM and 11:50 AM?\nAnswer: 662","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 351402 (base 6) in base 2?\nAnswer: 111010111011010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 1195, 2071, 2945, 3817, 4687, 5555, 6421?\n\"Answer: -z**2 + 879*z + 317","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 882440.6 millilitres?\nAnswer: 882.4406","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 18 and 231.\nAnswer: 1386","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 456 and 725064?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0, 0.3, 22?\nAnswer: 22","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 4\/3 in -0.6, 2\/13, -5, -44, -0.2?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 108?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3.02779 + -0.1271. Let k = 4.1 + -7. Let u = k + r. What is u rounded to 4 decimal places?\nAnswer: 0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) be the second derivative of -n**3\/6 + 860*n. Let v(l) = 4*l**2 + 2*l - 2. Determine 2*c(k) + v(k).\nAnswer: 4*k**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*r**4 - 5*r + 5*r + 3 - 3 + 2*r**4 + (2*r**2 - 1 + 1)*(-r + 2*r**2 + r) + 3*r**3 - 4*r**3 + 353115*r**4 - 350871*r**4.\nAnswer: 2248*r**4 - r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 7, y: 12}. What is prob of picking 3 c?\nAnswer: 35\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (6\/20)\/((-621)\/90 - -7). Solve 0 = -q - r + m, 5*r - 1 - 2 = -q for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nq when two letters picked without replacement from rvrqqyqvrqqnqvv.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 1352839 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 34, 68, 102, 136, 170?\nAnswer: 204","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 76354 is divided by 24?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 96, 85, 39, -5, -8 in descending order.\nAnswer: 96, 85, 39, -5, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = 7*b**2. Let t(a) be the third derivative of a**4\/8 + 2*a**2. Give v(t(k)).\nAnswer: 63*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1048208 and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 52846?\nAnswer: 2, 26423","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -3 times -833\nAnswer: 2499","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = 3*i - 30*i**3 + 64*i**3 + i**2 + 1 - 35*i**3 - 2*i. Let o(j) = -9*j**3 - 12*j**2 - 21*j - 6. Let p(t) = -o(t) + 6*w(t). Factor p(b).\nAnswer: 3*(b + 1)**2*(b + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5822 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 625687403 to the power of 1\/2, to the nearest integer?\nAnswer: 25014","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 4638.548 centuries?\nAnswer: 46385.48","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*j = -6*j + 4*y + 2, -3*y + 3 = -3*j for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 73921373 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = q + 1. Let a be d(-1). Let p be a*3\/(7 - -2). What are the prime factors of 29 + p*(-1)\/(-4)?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hnhn when four letters picked without replacement from hnnnnnnnnnhnnnnnnnnn.\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -1\/14 and 16\/(-40) - (-842)\/80.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 112 and 10824.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -101\/19053360 and -17\/1260.\nAnswer: 133373520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 4*c*d*i - c*d - 438*c*i + 21*d*i - 505*d wrt c?\nAnswer: 4*d*i - d - 438*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*k + 5 = -2*z, -47*k - 2*z = -44*k - 25 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -11000 + 10995. Let m = 3 + -3. Which is the second smallest value? (a) m (b) u (c) -1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d*d**(-2\/33))\/(d**(1\/7)*d)*d**(2\/5)*d\/(d*d**(1\/16)) assuming d is positive.\nAnswer: d**(2477\/18480)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) be the first derivative of -2*i**3 - 2*i**3 + 3 + i**6 - 5. Find the third derivative of c(x) wrt x.\nAnswer: 360*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*s + 7*s - 2*s)*(s - 5*s + 3*s) - 30*s + 30*s + 7*s**2 in the form y*s**2 + z + b*s and give z.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-54)\/(-18)*(-5)\/3.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 20305?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1 less than -276805929561?\nAnswer: -276805929561.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 103 a factor of 2472?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of ((-420)\/45)\/(2\/(-18)).\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -206110 (base 7) in base 6?\nAnswer: -433224","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -1. Let i(a) be the second derivative of -1\/6*a**3 + 3\/2*a**2 + 2*a + 0. Let t(v) = 2*i(v) + 4*r(v). Differentiate t(h) with respect to h.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -35c (base 16) to base 11.\nAnswer: -712","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -4.519 - 0.481. Let g = -0.13 + -5.87. Which is the smallest value? (a) -0.01 (b) i (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from grrgrrgrlrrglrrrglgl. What is prob of sequence rrrr?\nAnswer: 14\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -r**2 - 5. Calculate v(4).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -6*j**3 - 1015*j**2 - 22506*j wrt j?\nAnswer: -36*j - 2030","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 10 (b) -0.27 (c) 4 (d) -5.7 (e) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -7*r + 16*r - 7*r + 112 - 19*r - r to g + o*r and give o.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1116 + -323016?\nAnswer: -321600","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 + (5 - (4 - 5))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -30*a**2 + 21*a**2 - 3*a + 3*a - 173*a**2.\nAnswer: -182*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(2*(1 + sqrt(1573)*2) + (-5 + sqrt(1573) + -1)**2 + 5 + (1 + sqrt(1573) - sqrt(1573))).\nAnswer: -176*sqrt(13) + 3234","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -3*b**3 - 24*b**2 + 30*b - 148. Give u(-10).\nAnswer: 152","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -20*n + 17*n - 3*n**5 - n**2 + n**2 wrt n?\nAnswer: -60*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*p**2 + p**2 - p**2)*(p - 1 + 1)*(-25*p + 247289 - 247289).\nAnswer: -50*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -110101 + -10100110011101?\nAnswer: -10100111010010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s = 3*o - 71997, 108001 = -3*s + 5*o - 6*o. What is s rounded to the nearest ten thousand?\nAnswer: -40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 41 (base 15) to base 12.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -88239, -88250, -88261, -88272, -88283?\nAnswer: -88294","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i and 2 c when three letters picked without replacement from lccccizzl.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 300, 602, 904, 1206, 1508?\n\"Answer: 302*u - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a = -4*a + 3. Let i be (-5 - a) + (-27)\/(-6). What is the second biggest value in i, -5, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -12 + (-3 + -16 - -33). Which is greater: -1\/39 or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b - 405 = -3*m, 2*m - 5*m = -5*b - 397. Is 9 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 17\/61 and 1\/17031.\nAnswer: 1038891","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 3720 divided by -31\nAnswer: -120","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o - 2*a = 5, 50*a = -5*o + 46*a - 15. Put 9, o, -92 in ascending order.\nAnswer: -92, o, 9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*v**2 - 148*v - 9004632.\nAnswer: 4*(v - 1519)*(v + 1482)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y*y*y**8*y*y*y*(y*y**(-1\/11)\/y*y)\/y)**29 assuming y is positive.\nAnswer: y**(4118\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*3*(sqrt(637) + 2)**2 + -2*(-3 + (-1 + sqrt(65)\/sqrt(5) + sqrt(13))**2).\nAnswer: 92*sqrt(13) + 1823","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(-1 + -5 + (2*sqrt(612) - sqrt(612)) + sqrt(612) - -6*(sqrt(68)*2 + -3)))**2.\nAnswer: -6912*sqrt(17) + 90432","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-6 - (-16)\/3) + (-34)\/(-6). Are 7 and c equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t - 3*l + 128 = 0, -5*t = 3*l + 58 + 64. Let r(k) = -7*k - 14. Let z be r(-7). Let y = z + t. List the prime factors of y.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**8\/f*f*f\/f**(-1\/7))**19\/(f*f**(-3)*f**(2\/5)*f**5\/(f\/(f**4*f)*f)) assuming f is positive.\nAnswer: f**(5856\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dqddddddddddjdjdd. Give prob of picking 1 j and 1 d.\nAnswer: 7\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 0 + (-3 - (-18 - -8))\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 118511 times 0.1?\nAnswer: 11851.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 465*u**4 - 2*u**2 - 117 wrt u.\nAnswer: 11160*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -97210, -194418, -291626, -388834?\n\"Answer: -97208*g - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -3*b - 2*u + 5, -4*b + 3*u = -3. Suppose -b*h + 40 = 2*h. Suppose 4*g = h*g. Solve 5*v + 4*i - 18 = g, 5*i - 1 = 4*v + 1 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 11389 - -412. Is o composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 386\/(-30) + ((-168)\/(-90) - 32\/16)?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 351529 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*h**3 + 7*h**3 - h**2 - 5*h**3 + (-2*h - h - 2*h)*(58*h**2 - 1 - 92*h**2 - h + 49*h**2).\nAnswer: -76*h**3 + 4*h**2 + 5*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**4*z)\/(z*z**(2\/7)\/z))**(-2\/71)\/(z**(1\/2)*z**(-1\/4))**(4\/21) assuming z is positive.\nAnswer: z**(-269\/1491)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wbtoboolbowwtoo. What is prob of picking 1 l and 2 t?\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -374? (a) -68 (b) -1\/5 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-12)\/10*-6*85\/(-1071).\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -76\/53955 and -137\/9810?\nAnswer: 107910","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((481\/(-13))\/(-4070))\/((-8)\/80)?\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -52 (b) -73 (c) 0.4 (d) 3 (e) 4 (f) 6\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = 3852*c + 806. What is the hundreds digit of k(4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -214 + -11c86?\nAnswer: -1219a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -28 - -146. What is the units digit of q?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -o**3 + 7*o**2 + 10*o - 7. Calculate v(7).\nAnswer: 63","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -263, 51, -4, -1, 4, -3, -5.\nAnswer: -263, -5, -4, -3, -1, 4, 51","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -24*z**2 - 53*z - 2. Let g be x(-2). Let b(c) = -12*c + 3. Let f(j) = 35*j - 8. Determine g*b(h) + 3*f(h).\nAnswer: 9*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.345939329489 and -2?\nAnswer: 1.654060670511","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-61)\/2 + (-3)\/(-6). Calculate the remainder when (-520)\/o - (-1)\/(-3) is divided by 9.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 520, 1045, 1572, 2101, 2632, 3165?\nAnswer: 3700","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2 + 2.1. Let z = 180 - 1258\/7. Sort -4\/7, n, z in decreasing order.\nAnswer: z, n, -4\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -18\/17 (b) 128 (c) -3\/2 (d) 4 (e) -2\/13\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -12*s**3 + 3*s**2 + 2*s - 4. Calculate the remainder when f(-3) is divided by 43.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = 2*y + 5074. Let i(s) = -3*s**2 - 38. What is f(i(q))?\nAnswer: -6*q**2 + 4998","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 7431 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 30\/7 + -215\/42. Let c be ((-6821)\/380 + 18)\/(5\/(-20)). What is the closest to 1\/4 in c, 1\/2, u?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*s + 7*s - 9 = 0 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1 + -0.9. Let j = 3.3 + 1.9. Let x = -2.2 + j. What is the closest to v in 0.1, -3, x?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = j**3 + 4*j**2 + 4*j + 2. Let v be z(-2). Let c(d) = -d + 18. Let k be c(0). Let y(p) = -p**v - 35 + 19 + p + k. Calculate y(-2).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 237*b = -432*b + 141 - 8169 for b.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 356324 and 350370.\nAnswer: 458","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 28\/40*(9 - 925\/105).\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*o**2\/3 - 50*o\/3 + 52\/3 = 0.\nAnswer: -26, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 234 + i + 233 - 933 + 231 + 235.\nAnswer: i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3)\/(10*(-12)\/(-16))*16\/(-168)*75?\nAnswer: 20\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1727 + 2130. Which is greater: 3853 or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = 27*p**3 - 10*p. Let a(d) = -242*d**3 + 90*d. Let g(t) = -6*a(t) - 52*x(t). Find the second derivative of g(i) wrt i.\nAnswer: 288*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 676992968?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 476092442 - 476092460.00000036. Let m = 18 + t. Round m to seven decimal places.\nAnswer: -0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-9 - -6) + (-81 - -87) + (0 - -20)?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) be the first derivative of 5*n**3\/3 - 25*n**2\/2 - 330*n + 353. Determine z so that d(z) = 0.\nAnswer: -6, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -245*z**4 + 411 wrt z.\nAnswer: -980*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -20*y**3 - 1 - 3*y**2 + 12*y**3 + 5*y**3. Let b(f) be the first derivative of -7*f**4\/4 - 7*f**3\/3 - 3*f + 19. Calculate -2*b(d) + 5*o(d).\nAnswer: -d**3 - d**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-36)\/(-5) - 2\/10. Let p be (4\/10)\/((-35)\/(-700)) + 5. Let m = p - v. Solve -m = -4*x + 6 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1648 is divided by 66.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -463, -464, -465, -466, -467, -468?\n\"Answer: -w - 462","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16 = -2*j, 25602*z + 4*j + 29 = 25603*z for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -j + 1. Suppose 242*f = 182*f + 180. Let y(u) = -22*u - 2. Determine f*b(p) + y(p).\nAnswer: -25*p + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -720 + -0.2129\nAnswer: -720.2129","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9651.\nAnswer: 3, 3217","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence svul when four letters picked without replacement from vlutlvlvvlvvosvv?\nAnswer: 1\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 395069 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*((sqrt(468) - (-2 + sqrt(468))) + -3) + 2 + 2)**2.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-25 + 21)*((-2)\/2)\/2. Let t = -50 - -54. Solve t*w = p - 18, -n*p - 23 = 2*p + 3*w for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = n**3 + 20*n**2 + 202*n + 2. Calculate b(-10).\nAnswer: -1018","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6 + -1 - 12) + 15.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -h - d - 229 + 238 = 0, 0 = -4*h + 4*d + 28 for h.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 48 and 8.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 1587, -7, -5, 2, -4, -2 in descending order.\nAnswer: 1587, 2, -2, -4, -5, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 54 + -23. What is the units digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) be the first derivative of -s**5\/40 + s - 6. Let u(k) be the first derivative of l(k). Factor u(v).\nAnswer: -v**3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of -142*((-4)\/(-26) - 897\/338).\nAnswer: 5, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 418 minutes after 5:41 PM?\nAnswer: 12:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of ((-320)\/(-800))\/(2\/27540).\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -0.1 (b) -5 (c) 0.1 (d) 10 (e) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pdpj when four letters picked without replacement from {p: 1, v: 4, d: 1, j: 5}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4\/(-1)*(-7)\/(-42).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-4)\/(-6) - 439\/(-3). Suppose 0 = -4*z, -6*z + z = 3*p + h. Let b = p - -70. What are the prime factors of b?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 53\/18 and -121\/54.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -335, 5, 11, 3 in decreasing order.\nAnswer: 11, 5, 3, -335","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3*-3*264\/(-972)*-3?\nAnswer: -22\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -4*f**2. Let k(o) = -12 - 16 - 14*o + 28. Calculate k(y(q)).\nAnswer: 56*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.072938, 4\/5, 0.5, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (4\/(-42))\/(-6 + 76\/12). Which is the second smallest value? (a) -0.5 (b) -0.38 (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1458 + -1457.99999059. Round i to five dps.\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((-1 + 0 + 3)*(j - j - j) + (-6 - 1 + 1)*(40 - 40 - 5*j) + 0*j + 0*j - 2*j)*(-2 + 2 - 2) - 2*j - 1 + 1 to the form c + y*j and give y.\nAnswer: -54","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -x**2 - 6*x - 6. Let c be j(-3). Suppose c*t - 60 = 5*t. What are the prime factors of (1 + 0)\/(-1)*t?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 16 + 77. Let a = -58 + z. What are the prime factors of a?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -b**2 + 7*b - 4. Let u be m(3). Let q = -7 + u. List the prime factors of q*(-3 - -14) - 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-620)\/992)\/((-10)\/24).\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2 - (10\/14 - -1). Let p = -0.038 + -3.862. Let a = p - -4. What is the nearest to 1\/3 in v, 0.5, a?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -80*(-103)\/4120*(4\/220)\/(-1)*-1.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17 = -70*i + 87. Which is the closest to 0.1? (a) -76 (b) i (c) 5 (d) -3\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.28000055 - 0.28. Round a to seven decimal places.\nAnswer: 0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2415112 divided by 24644\nAnswer: 98","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3635560.\nAnswer: 2, 5, 97, 937","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -8, -2, 30, 100, 220, 402, 658?\nAnswer: 1000","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 7042 divide 1373295630?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, -312, 0.2 in increasing order.\nAnswer: -312, 0.2, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 204 - 126. Let a = -54 + o. Suppose 0 = 3*g + 3*g - a. Solve 16 = 3*y - g*d, -2*y - y + 9 = 3*d for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -i**2. Let w(n) = 14*n**2. Give 102*s(y) + 6*w(y).\nAnswer: -18*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*f - 4*y - 25, 14 = 4*f + 2*y - 4*y. Solve 9 - f = 2*w for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30*o = 564 + 1026. Suppose -4*l + 0*l = -8. Suppose -11 = l*q - o. What are the prime factors of q?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 u and 2 t when four letters picked without replacement from {w: 3, y: 2, g: 5, u: 5, t: 4}?\nAnswer: 5\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2028822.\nAnswer: 2, 3, 338137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -13*o**3 - 3*o**2 - 12. Let x(c) = 11*c**3 + 2*c**2 + c + 13. Give -2*l(s) - 3*x(s).\nAnswer: -7*s**3 - 3*s - 15","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -54361740 - -54361736.1000683. Let q = -3.9 - v. Round q to 6 decimal places.\nAnswer: -0.000068","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 263 is divided by 39?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 584 - 219*h**3 - 1198 + 613.\nAnswer: -219*h**3 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -46 - -36. Let l be 25\/d*(-1 + -4 + 3). Calculate the greatest common divisor of 15 and l.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -2*v - 2. Let n(p) = -p**3 + 22*p**2 + 22*p + 20. Let o be n(23). Calculate z(o).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = 2*h**4 - 6*h**3 + 6*h**2 - 18*h. Let k(q) = q**4 - q**3 + q**2 - q. Let v(g) = -6*k(g) + y(g). What is the second derivative of v(o) wrt o?\nAnswer: -48*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -475 - 1610*j + 536*j + 539*j + 542*j - 105 to g + l*j and give g.\nAnswer: -580","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 57803 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 3, 18.3, 7\/15, 116?\nAnswer: 18.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 9 + 1. Suppose 0 = 2*v - 2*i - f, 0*v + 11 = 3*v - 4*i. Suppose s + 2*s = v. Solve 2*q - 3*q + s = 0 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 33767 times 66\nAnswer: 2228622","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 28957 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d**17*d\/d**(17\/2)*d*d*(d**(1\/3)*d)\/(d*d\/(d*((d\/((d*d*d\/(d\/(d\/(d**9*d)))*d)\/d))\/d*d*d)\/d)) assuming d is positive.\nAnswer: d**(119\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*i - 611 + 196 + 2972*i**4 - 494 - 2158*i**4 wrt i?\nAnswer: 9768*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 75276.91s?\nAnswer: 75276910000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 739.305131 to the nearest 1000.\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -650*c**4 - 3*c**3 - 5853*c**2?\nAnswer: -15600*c - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = 7*d. Let s be j(1). Are 7 and s equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s + 4*s = 2. Suppose 8 = 5*d - s. Solve -d - 6 = 2*j for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 22060 - 411?\nAnswer: 21447","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -298*b - 322*b + 14719420. What is the tens digit of b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 2\/(-25) + 21728\/350 + 15. Calculate the greatest common factor of f and 220.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ddggdhdppdpdphdd. What is prob of picking 2 p?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -70941\/58640 - -97\/80. Are -1 and p equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 4 + -2. Let y(r) be the first derivative of 0*r**3 + 0*r - 1\/2*r**2 + 0*r**4 + 1\/5*r**5 - q. Find the second derivative of y(v) wrt v.\nAnswer: 12*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3168\/91 >= 35?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*w = -49*w. What is the closest to -1\/2 in 2\/11, w, -0.2, -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a*a**(1\/12))**(3\/11)\/(a\/((a\/(a\/a**5))\/a)*a\/a**10) assuming a is positive.\nAnswer: a**(541\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5 - (29 + -21)) + 7 + -26.\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -14.1 and 611276.\nAnswer: -8618991.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 156 is divided by 41?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put 6, -9\/9857, 0.5 in ascending order.\nAnswer: -9\/9857, 0.5, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 + 6 - 7 + 3*i**2 + 7.\nAnswer: 3*i**2 + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2260.\nAnswer: 2, 5, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 310917409?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 5809 + -5815. Let i(w) = w**3 + w**2 - 3*w. Let q(k) = -4*k - 2*k**2 + 3*k**2 + 3*k. Determine u*q(b) + 2*i(b).\nAnswer: 2*b**3 - 4*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -334*j + 379*j - 1620 = 0. Let m(k) = 77*k**2 + 2*k - 1. What is the lowest common multiple of j and m(1)?\nAnswer: 468","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) be the third derivative of -1\/24*x**4 + 2\/3*x**3 + 2*x**2 + 0*x + 0. Let u be w(7). Is u less than -4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 55 + (-4 - (-2 - -1 - (4 + 2))) + -3.\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 182945180 to the power of 1\/8, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 15 - 60. Let w = 78 + j. What is the highest common factor of 231 and w?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 20845?\nAnswer: 5, 11, 379","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Are 0.2 and 8971 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2053*z**4 + 1628*z**3 - 4336678*z**2 wrt z.\nAnswer: 49272*z + 9768","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.015 and -0.6223.\nAnswer: 0.0093345","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p and 1 k when two letters picked without replacement from {k: 5, p: 3}?\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = 2414291*g + 37. Let w = -130 - -123. Let t be s(w). Round t to the nearest one million.\nAnswer: -17000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2\/43199 - -431968\/475189. Let c = 3\/11 + 1\/11. Factor -6\/11*k**2 + c*k - s*k**3 + 0.\nAnswer: -2*k*(k + 1)*(5*k - 2)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1*(50\/5)\/2?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -18.7 + 16. Let r = h + 5.3. What is r rounded to 0 decimal places?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 288668363?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) be the third derivative of 0 + 2*l**2 + 2\/3*l**3 + 0*l + 1\/12*l**4. What is the least common multiple of r(6) and 6?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 59\/427 and -67\/62342.\nAnswer: 62342","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 14144\/(-1014) + (12\/(-117))\/2.\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-227)\/23 - (-145)\/((-230115)\/207)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -740*k**2 - k - 1163 wrt k.\nAnswer: -1480*k - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 51*d - 30*d - 23*d - 3 to p + q*d and give p.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -41, -241, -447, -659, -877, -1101?\nAnswer: -1331","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 528 and 513645528?\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -f**3 + 6*f**2 + 2*f - 8. Suppose 4*v + 4*i = 0, -5*i + 12 = -2*i. Let c = 0 - v. Calculate the remainder when y(6) is divided by c.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = i**2. Let b(j) = 2*j**2 - 103*j. Calculate g(b(z)).\nAnswer: 4*z**4 - 412*z**3 + 10609*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -4\/5 (b) -12\/47 (c) 4 (d) -32 (e) -9 (f) 0.3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1459\/3 + -176626\/363. Find the common denominator of g and -73\/2.\nAnswer: 242","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) be the first derivative of 19*w**3\/3 + 1. Let a(s) = -13 + 13 + 4114*s**2 - 4116*s**2. Give x(a(g)).\nAnswer: 76*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m = -18 - 37. Let a = 816 + -776. What is the lowest common multiple of m and a?\nAnswer: 440","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -b**2 + b**2 + 2*b**3 + 3 - 2*b**3 - 3 + (5 - 5 + b)*(2*b - 2*b - 2*b**2) + b - 2*b + 16*b**2 + b**3 - 12*b**2.\nAnswer: -b**3 + 4*b**2 - b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21*o + 248 = 101 for o.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -5*q**3*u**3 + 1151*q**3*u**2 + q**2*u**3 - 18*q**2*u**2 + 598*q*u**3 wrt u.\nAnswer: -30*q**3 + 6*q**2 + 3588*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -17*i**2 - 4*i + 4. Let d(w) = -2*w - 8*w + 522 + w - 18*w**2 - 517 + 4*w. Calculate -4*d(f) + 5*x(f).\nAnswer: -13*f**2","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: Let t(j) be the third derivative of -j**7\/840 - 7*j**5\/40 + j**4\/2 - 11*j**2. Let i(s) be the second derivative of t(s). Let f(z) = -2*z. Determine i(f(k)).\nAnswer: -12*k**2 - 21","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 4, -216, 3.\nAnswer: -216, -2, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -2*j**2 + 191. Let v(k) = 97*k**2. What is y(v(t))?\nAnswer: -18818*t**4 + 191","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Work out 23394 + -3.\nAnswer: 23391","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -100*z + 96*z + 240. Is 60 at least z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -14, -2 in ascending order.\nAnswer: -14, -2, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-228)\/1347138*-117*4343.\nAnswer: 86","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(51) - 2*sqrt(102)\/sqrt(2))*1)\/(3*sqrt(48)*-4).\nAnswer: sqrt(17)\/48","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -9*q - 9. Calculate i(-5).\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 453513 (base 7) to base 12\nAnswer: 3a719","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 36992*f**5 - 1220464*f**4 - 2681375*f**3\/2 + 5011295*f**2\/2 + 18478*f + 34 = 0 for f.\nAnswer: -2, -1\/272, 1, 34","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide -82679 by 26.\nAnswer: -82679\/26","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 462 a factor of 410256?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.2? (a) 1\/29 (b) -1 (c) -0.1 (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 z when two letters picked without replacement from dddzz?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = q**3 - q - 1. Does 3 divide f(2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h\/h**(8\/5))\/(h**(-7\/4)*h))\/(h*h*h*h\/((h**(1\/2)*h)\/h)*h*h)**(1\/38) assuming h is positive.\nAnswer: h**(1\/190)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11\/(-88)*-4*2.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3 + 2 - 1 + z**3 + 0*z**3 + 2*z**3 - 4*z**3 + (0*z**2 - z**2 + 3*z**2)*(2*z - 2*z - 2*z) + (-2*z**2 - 7*z**2 + 5*z**2)*(-2*z + 0*z + z).\nAnswer: -z**3 + 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 8 (b) -0.4 (c) -1\/4 (d) -4 (e) 1\/24\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-20)\/8*58\/116.\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 2\/15 (b) -1\/2 (c) -1\/7 (d) -0.24\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-5)\/(-10)*0*1. Suppose -17 = -d*c - c. Let p = 31 - 29. Solve -u - 4*u + p*r = -c, -5*u + 13 = -3*r for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 122511?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0 - -0.4. Let y = -0.43 + u. Let g be 14*(-6)\/(-12) - (-448)\/(-63). Sort 2, g, y in ascending order.\nAnswer: g, y, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 723*o - 724*o = 5*n - 41, -3*o - 57 = -5*n. Let a = -444 + 1010. Calculate the remainder when a is divided by n.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.629806 - 201?\nAnswer: -201.629806","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 0.7243834ng?\nAnswer: 0.0000000000007243834","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 508978?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1*3\/(-9)*0. Let x = t + 1. Is x > -2\/15?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -2*r - 24. Let a(m) = -m - 14. Let v(k) = -5*a(k) + 3*h(k). Suppose 5*l = 18 + 7. Suppose 4*j = -0*j + 8, -4*q = l*j - 10. What is v(q)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -f + 17. Let c be r(10). Let x = -8 + c. Let l be (((-416)\/(-6))\/16)\/((-2)\/(-6)). Put l, x, 0 in increasing order.\nAnswer: x, 0, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -77*a - 222. Suppose 5*c = -4*k - 0 - 48, -c = -4*k. Let w(u) = 115*u + 332. Let j(f) = c*h(f) - 5*w(f). What is the derivative of j(g) wrt g?\nAnswer: 41","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v + 2*v - 1 = 0. Let k = v + -2. Let y(a) = -4*a**2 - 479*a - 2291. Let s be y(-5). Put 1, k, s, 2 in increasing order.\nAnswer: k, 1, 2, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 - 6) + (18 - 47) + 13.\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 1\/4 of a decade?\nAnswer: 30","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -8*14\/(728\/13)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = 308*r + 26191. Calculate x(-85).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pppb when four letters picked without replacement from bppp?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -13*x**3 + x**2 + x - 1. Let k(m) = 2*m**2 - 6*m + 6. Let z be k(4). Let v = z - 13. Give f(v).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1 + -1 + 2 - -286. Let t = 1125 - 1116. Suppose 0 = -7*b + t*b - g. What is the remainder when b is divided by 29?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (232 - 109 - 237*n**2 - 123)*(-7 - 6 + 11).\nAnswer: 474*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -4*m**2. Let s(i) be the second derivative of i + 1\/3*i**3 + 0 + 0*i**2. Calculate d(s(p)).\nAnswer: -16*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 17 + -7.915609268594.\nAnswer: 9.084390731406","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zz when two letters picked without replacement from {a: 4, z: 14}?\nAnswer: 91\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = z**3 + 49*z**2 + 67*z - 1. Calculate s(0).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -56*a*b**2*h**3 - 7*a*b**2*h + 462*a*h**3 + 739*a - 5*h**2 wrt h.\nAnswer: -336*a*b**2 + 2772*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-h + h - h**3)*(3 - h - 3) + (-h - 144*h**2 + 143*h**2 + 17*h)*(-50*h - 14*h**2 + 50*h) to o*h**3 + d*h**4 + g*h + v + k*h**2 and give d.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 429 in -20, 3\/7, 12\/85?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 18 and 417702.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ens when three letters picked without replacement from {o: 1, n: 2, e: 2, s: 1, f: 2, l: 5}.\nAnswer: 1\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 957?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 5 + -2. Is 171\/6*4\/x a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y = -3*y - 6. Let o = -79\/23 + 339\/92. Suppose 0 = m - 0*m - 11. Which is the second biggest value? (a) o (b) m (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 21*s**3 + 140 - 140 - 31*s**3.\nAnswer: -10*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -10*h + 5*h - 2*m + 5, 13 = h - 2*m. Suppose -2 - 16 = -h*w. What is the tens digit of 730\/60 - 1\/w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1120122 - 0?\nAnswer: -1120122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 254 minutes before 12:28 PM?\nAnswer: 8:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 521 is divided by 3*(-21 + 894\/18).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 112 and 665?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (3\/4)\/(8 + 116\/(-16)). Let k be -2*6\/30 + y. Suppose -k*j**2 + 3\/5*j + 6\/5 = 0. What is j?\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 195\/(-16)*8\/(-6). Suppose 0*t = -4*t + 64. Let m = t - d. Is m equal to 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5278)\/234 + (-17)\/((-306)\/10).\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*h + 287 - 287.\nAnswer: 3*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3948?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s + 2*k = -18, 5*s + 4*k = k + 5. Suppose -5*j = -j - x - s, 2*x + 2 = 5*j. Which is smaller: j or 41?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -107393.80675 rounded to the nearest integer?\nAnswer: -107394","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.02432 to two decimal places.\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 b and 1 g when three letters picked without replacement from gbssvcbcgrggrgvv?\nAnswer: 1\/112","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*g**2\/4 - 24351*g - 197657067.\nAnswer: -3*(g + 16234)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1221 (base 3) to base 15.\nAnswer: -37","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 700603 and 230.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -62870229, -62870230, -62870231, -62870232?\nAnswer: -62870233","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 81 and 1944.\nAnswer: 1944","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + (1 - 3) + 1.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = 4558*l**2 + 5*l + 10. What is the smallest common multiple of x(-1) and 1859?\nAnswer: 50193","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*u = -6*u. Suppose 2*q + 4 = -0*k + k, -4*q + 5*k + 4 = u. Let g = 174 + -174. Sort q, -1, g in descending order.\nAnswer: g, -1, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-1)\/1 + (-37 - 2). Find the common denominator of (118\/w)\/(6\/15) and (-491)\/20 + (-2)\/10.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k*k*k**(-5))\/k*k*(k\/(k**5\/k))\/k*k\/(((k**4\/k)\/k)\/k)*k**(-2\/11)*((k\/(k\/(k\/k**(-3\/4))))\/k*k**(-5))**(1\/5) assuming k is positive.\nAnswer: k**(-1767\/220)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (22\/44)\/((-1)\/(-10)). Solve -4*p + 12 = -4*c, 3*p + l*c - 2 = 15 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = 85*q. Let j(k) = 17*k. Let o(n) = -11*j(n) + 2*z(n). Let t be o(-3). What is the greatest common factor of t and 34?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -2.25 and -22466?\nAnswer: 50548.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-31640)\/(-4640) - ((-112)\/232)\/(-7).\nAnswer: 27\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 985*f = 927*f - 696 for f.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 56012308260 minus -0.4?\nAnswer: 56012308260.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 394 and 42.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kkkkkkqqqkqqkkkqkkk. What is prob of picking 2 k and 1 q?\nAnswer: 156\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k - 4*x + 72 = 0, -3*k + 62 = 2*k - 2*x. Suppose 4*j + 110 = 26. Let s be k\/j*(-6)\/1. Put -3\/8, -0.1, s in ascending order.\nAnswer: -3\/8, -0.1, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -553, -485, -317, -1, 511, 1267, 2315, 3703?\nAnswer: 5479","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 46332, 54857, 63382, 71907, 80432, 88957?\nAnswer: 97482","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) be the third derivative of -5*a**4\/24 + 13*a**3\/6 - 8*a**2. What is the first derivative of y(i) wrt i?\nAnswer: -5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 8\/16 - 2\/4. Suppose s = -3*z + 2*z + 11. Solve 3*n + 5*w + z = -3, 2*n - 20 = 4*w for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17 - (0 - (0 + 2) - (-32 + 37))?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(sqrt(396) + 2 + sqrt(396) + 1 + -3 + 2 + sqrt(396) - ((0 + sqrt(396))*-2 + (2 + sqrt(396))*-6 + sqrt(396)))**2.\nAnswer: -238776 - 10080*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1622 = 2*c - 1178. Let i = 146 - 137. Suppose -c = b - i*b. Is b a multiple of 27?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/3? (a) -3 (b) 0.24 (c) -0.8 (d) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v*v**(-1\/2))**(-8\/3)*v**(3\/10)*v*v**(-3\/4) assuming v is positive.\nAnswer: v**(-47\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = a**2 - 36*a + 13. Let j be y(18). Let f = j + 333. Solve f = 2*c + 12 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 9.56 or 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 206*o + 54*o - 1989*o.\nAnswer: -1729*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -13*a - 180. Let w be s(-25). What is j in 135*j**2 - 150*j + w*j**2 - 275*j**2 = 0?\nAnswer: 0, 30","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one twentieth of a meter in millimeters?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = 94*j**3 - j**2. Let d be l(1). Let w(g) = 52 - 97*g - d*g - 72. Let z be w(-8). What is z rounded to the nearest 1000?\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -7149.8 + 6413. Let k = i - -678. Round k to the nearest ten.\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 13322552 and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (2*2*(2 + 1 + sqrt(72) + sqrt(72) - sqrt(72)))**2.\nAnswer: 576*sqrt(2) + 1301","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -2*b - 5. Let d be u(-5). Let f be (-3)\/(-3) + 68*d. Suppose 4*l = -25 + f. Is l a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o + 2*b - 86 = 0, -20 = -b - 17. Let x = -4 + 6. Let i be 0*x\/(o\/(-5)). Solve r - w = i, 2*w = -2*r + 6*w + 4 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -3*v**3 + 1419*v**2 - 8405*v - 255. What is x(467)?\nAnswer: 212","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 732589 and 11336.\nAnswer: 1417","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*n**2 + 6148*n - 6152.\nAnswer: 4*(n - 1)*(n + 1538)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 20 - 120 + 47 + 3*p**2 + 53.\nAnswer: 3*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find u, given that -2*u**3 + 980*u**2 + 118144*u + 3212352 = 0.\nAnswer: -52, 594","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -102 = -2*x + 22. What is the units digit of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -f**2 + 4*f - 2. Let z be h(2). Let k = 714 + -5681\/8. What is the common denominator of (-22)\/8 - (z + -4) and k?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00017563 rounded to five decimal places?\nAnswer: -0.00018","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -3, 3.1, 3\/4, -19, -1?\nAnswer: 3.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -95554\/61 - -1111\/427. Let b = z + 1561. Let u be -6 + -22 + 2225\/89. Which is greater: b or u?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 44812?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0*t**2 - 2\/9*t**4 + 0 - 2\/3*t**3 + 0*t.\nAnswer: -2*t**3*(t + 3)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 18*116663.9\nAnswer: 2099950.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find j, given that -4*j**5 - 144*j**4 + 1852*j**3 + 424*j**2 - 5808*j + 3680 = 0.\nAnswer: -46, -2, 1, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qqtkqtqre. What is prob of picking 1 q, 1 r, and 2 t?\nAnswer: 2\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-2\/5)*h**(2\/13))\/(h**(-1))**(-43)*(h**(-4\/5)\/h)\/(h\/h**(1\/9))*(h*h**(2\/5))**(5\/7) assuming h is positive.\nAnswer: h**(-26287\/585)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -z**2 + 11*z - 24. Let d be o(5). Let g be 23*2\/3 + 4\/d. Solve 3*n + g = 1 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) be the second derivative of -n**4\/12 + n**3\/6 + 90*n**2 - 98*n + 4. Let l(x) = 2*x. Determine l(d(m)).\nAnswer: -2*m**2 + 2*m + 360","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 26156?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -5*q - q**2 - 10*q - 10 + 1. Suppose 2*p = 4*v - 2*p + 16, 0 = 2*p + 4. What is the tens digit of l(v)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -m**2 + 4*m + 12. Suppose -2*q = q - 18. Let j be g(q). Suppose j*h = -5*h + 3905. Is h a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d = -0*d + 3. Solve -3*y**5 - 7*y**4 - d*y**2 - 3*y**3 + 10*y**4 + 6*y**5 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 11733560 and 9386848.\nAnswer: 46934240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 610 - 604. Suppose 4*d = 6*d - 3*a - 8, 2*a = -8. Which is bigger: d or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.148 and -85?\nAnswer: -12.58","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 divided by -25826.\nAnswer: -3\/25826","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-12 - -15) + (-2 - -2) + -2.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 17931\/8 + -2237. What is the common denominator of m and -91\/72?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -167, -736, 0 in descending order.\nAnswer: 0, -167, -736","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) 5 (b) 17\/5 (c) -3 (d) -2\/21 (e) 1\/1877 (f) 2\/15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -7399 + -5?\nAnswer: -7404","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 1, a: 7, y: 2}. What is prob of sequence yah?\nAnswer: 7\/360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-28)\/147*6)\/(-4).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 5 - (9 + 7 - 8)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 738?\nAnswer: 2, 3, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 556\/935 - -1\/187. What is the nearest to -0.2 in -0.1, 1\/9, i?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = 8*k**2 - 169*k + 5 + k**3 + 169*k. Let q be o(-8). What is the greatest common divisor of q and 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*((sqrt(63) + 2)*1 - sqrt(63)))**2.\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 at most as big as 43\/26772?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -5*t**2 + 3*t. Determine h(6).\nAnswer: -162","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*b + 3*b + 221 - 191 = 0 for b.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 5 + -27\/5. What is the second smallest value in -0.3, r, 2?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 2581, 2590, 2605, 2626?\n\"Answer: 3*v**2 + 2578","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -28, 442537, 2, 3, 4, 5 in decreasing order.\nAnswer: 442537, 5, 4, 3, 2, -28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = 64*x**3 - 6*x**2 - 3. Let a(m) = -m**3 - 3*m**2 + 1. Give -2*a(b) + h(b).\nAnswer: 66*b**3 - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*k**4 - 11*k**3 + 496*k.\nAnswer: -24*k**2 - 66*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -10*l + 19*l - 18. Let g(i) = 6*i + 9 - 24*i + 6*i + 6*i. Let f(p) = -p + 1. Calculate l*g(w) - 18*f(w).\nAnswer: 6*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -35*i = 816 - 180 + 519 for i.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = 115*d + 2537. What is p(-26)?\nAnswer: -453","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-6)\/(((-4)\/(-2))\/(-4)). Let f = -119 + 143. What is the highest common divisor of f and a?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = 7*p + 1. Let j(y) = -5 + 5*y**p - 3*y - 2*y - y**2 + 1. Is 5 a factor of j(4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 7661564 and 3830782.\nAnswer: 7661564","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 331 minutes before 4:34 AM?\nAnswer: 11:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -14898, -14919, -14940?\n\"Answer: -21*a - 14877","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -4*k + 2. Let z(b) = -20*b + 133. Determine -4*n(w) + z(w).\nAnswer: -4*w + 125","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 2625329 to the power of 1\/2, to the nearest integer?\nAnswer: 1620","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 59227384 or 59227383?\nAnswer: 59227384","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) be the third derivative of -1\/2*d**3 + 0 + 2*d**2 + 0*d + 1\/20*d**5 - 1\/24*d**4. What is the units digit of q(4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in one quarter of a litre?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.05 (b) 211 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -136*b**4 + 6*b + 13*b - 17*b + (-3*b**3 + b**3 + 4*b**3)*(25*b - 5*b + 0*b).\nAnswer: -96*b**4 + 2*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:00 PM and 10:16 PM?\nAnswer: 76","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(80)\/(4*sqrt(160) + sqrt(160)) - sqrt(72)\/sqrt(441)*-1.\nAnswer: 27*sqrt(2)\/70","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 369 + -643. Let v = 153 + y. Let c = -43 - v. What is the tens digit of c?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -55*x + 48*x + 1022 = 0. Suppose -2*c + x = 5*l, 0*l = -l - 2*c + 34. What is the remainder when 108 is divided by l?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does -6599943 = 5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -787974*s**2*v**2 - 358*s**2*v - 7*s**2 - 45*s*v**3 - 18*s*v - 13*s - 6 wrt v?\nAnswer: -1575948*s**2 - 270*s*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*i - 30 = -22 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 16682723 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -347, -355, -363?\nAnswer: -371","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 2602.482 and -4?\nAnswer: -10409.928","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -2411*b**2. Let k(v) be the first derivative of v**2\/2 - 3603. Give u(k(c)).\nAnswer: -2411*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 735.2593m in nanometers?\nAnswer: 735259300000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 28 - 27.5. What is the second biggest value in 6, p, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-4)\/(-6))\/(11\/(198\/12))\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -44, 2\/19, -1\/142?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a litre in millilitres?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 15988303*d**6 - 3*d**4*y - 5*d**2*y + 2*d**2 + d*y - 292*d - 253*y - 2 wrt d.\nAnswer: 1918596360*d**3 - 72*d*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 477449477 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v = -6*v + 2*r + 38, -v = 2*r - 10. Let w(z) be the first derivative of 9\/2*z**2 + 0*z + 18. Let l(g) = -14*g. What is v*w(a) + 5*l(a)?\nAnswer: 2*a","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: Expand (10 + 2 - 4)*(0 + 0 + 2*m)*(0*m**4 + 0*m**4 - 4 - 3*m**4).\nAnswer: -48*m**5 - 64*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -33 + (-34762)\/(-1036) + 8\/(-148). Let i = -7\/87 + 1667\/174. Put 3, -0.2, c, i in decreasing order.\nAnswer: i, 3, c, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 6, c: 4}. Give prob of picking 2 l and 1 c.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:41 AM and 10:36 AM?\nAnswer: 115","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:55 PM and 10:05 PM?\nAnswer: 430","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 2 - ((-31 - -40) + 96 - (-5 + 0))\nAnswer: -108","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -371 + 370. Let z be q\/(-2) - (-2 + (-9)\/(-4)). Factor 0*u**4 - 1\/4*u**3 + 0 + z*u**5 + 0*u + 0*u**2.\nAnswer: u**3*(u - 1)*(u + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -6*f**2 - 8*f - 8. Let o(b) = 2*b**2 + 3*b + 3. What is 2*g(c) + 7*o(c)?\nAnswer: 2*c**2 + 5*c + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((1\/1)\/2)\/(59 + (-362341)\/6142). Calculate the greatest common divisor of 12367 and g.\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1 + -102023203?\nAnswer: -102023210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -104 - 93?\nAnswer: -197","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -32\/109?\nAnswer: -32\/109","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = 14*i + 27. Let d(f) be the first derivative of -f**2\/2 + 2914. Give u(d(w)).\nAnswer: -14*w + 27","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 34056, 34055, 34054, 34053?\nAnswer: 34052","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 23 - -3. Let o = 28 - k. Let m = 7 + -3. Put 1, m, o in descending order.\nAnswer: m, o, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6 + 6 + 8 + -12\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 57677516?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.02829 in -5, 0.41, 10?\nAnswer: 0.41","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (3 + (-15)\/3)\/(5\/(-10)). Solve -j = -2*f - 3*r, 0 = 4*r - 11 - 5 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.07 * -6\nAnswer: -0.42","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is (-2773762 + 0)*(27\/(-12) + 259\/148) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 + 0 - 5)*(-31*i + 31*i - 465*i)*(-5*i + 3*i + 0*i - 1).\nAnswer: -930*i**2 - 465*i","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 21440377.\nAnswer: 7, 103, 131, 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-2)\/(1 + 22\/(-26)). Let h = 11 + x. Let n(t) = -10*t**3 - t**2 + 1. Is n(h) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-9)\/(-1)*11\/33.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put together 40.9 and 3.45044.\nAnswer: 44.35044","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2034753, 2034754, 2034755?\nAnswer: 2034756","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10 + 10000100100000?\nAnswer: 10000100100010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express 1896*h - 2 - 671*h + 2 as q + u*h and give u.\nAnswer: 1225","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3560 - -3599. What is the greatest common divisor of 7514 and v?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -10*b**4 + 3136*b - 406*b**2 + 12*b**4 + 7*b**3 + 53*b**3 + 1400*b**2 + 32*b**3.\nAnswer: 2*b*(b + 7)**2*(b + 32)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3 in -1\/4, 0, -186, 6\/13?\nAnswer: 6\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 399 minutes after 1:31 AM?\nAnswer: 8:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = z**3 + 4*z**2 + z + 9. Let y be r(-4). Suppose 67 = y*g - 38. Find the second derivative of -17*d**3 + d - 9*d + g*d**3 wrt d.\nAnswer: 24*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1224 and 2700?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is -4885 smaller than -4885?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -11*f**2 + 2. Calculate the common denominator of h(2) and -58\/9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/(-2)*(-6)\/120*-8.\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 14\/9, 3\/7, -11, 67.73 in ascending order.\nAnswer: -11, -5, 3\/7, 14\/9, 67.73","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 921*p - 216*p - 41*p = -1025*p - 118230 for p.\nAnswer: -70","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.2 (b) -2\/113 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o\/(o**(1\/16)*o))\/o*o**8*o*(o*o**2*o)**(-1\/14) assuming o is positive.\nAnswer: o**(857\/112)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 13720 to the nearest 1000.\nAnswer: 14000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -102.7 + 103. Which is the biggest value? (a) -2 (b) k (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*h + 7*h - 3*h)*(5 + 0 - 3) + (3*h - 6*h + h)*(2 + 0 - 8).\nAnswer: 16*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-3)\/(-2 + 5)*14. Suppose 2*w = -2*w - 96. Let y = n - w. Is 5 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 23805 is divided by 948.\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Determine w so that 1\/9*w**3 - 4\/3 - 23\/9*w - 10\/9*w**2 = 0.\nAnswer: -1, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l + 20717 = -5*d, 2*d + 41410 = 3*l + l. Is l a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -2\/75 and ((-145)\/(-3) - -7)\/(2 + -72)?\nAnswer: 525","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 48\/5 of a kilogram in grams?\nAnswer: 9600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -6*n - 6472. Let c(x) = 32*x. What is j(c(f))?\nAnswer: -192*f - 6472","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -441784025 divided by 17671361\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 440343?\nAnswer: 3, 47, 347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 42373*f**2\/6 + 84745*f\/6 - 1\/3 = 0 for f.\nAnswer: -2, 1\/42373","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 72\/(-264)*44\/(-2).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 17.58 + -18. Let p = k + 0.32. What is the nearest to p in 1, 2, -9?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2102\/359 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 168, 167, 166, 165, 164?\nAnswer: 163","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.107 (b) -2 (c) -136 (d) 0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2852092 and 2732?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) be the first derivative of h**4\/12 + 11*h**3\/6 + 30*h + 54. Let k(t) be the first derivative of n(t). Solve k(o) = 0 for o.\nAnswer: -11, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 2\/3*(-6)\/(-16). Factor 1\/4*n**3 + 0*n**2 + 0 - o*n.\nAnswer: n*(n - 1)*(n + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 - -3) + -2 + (1 - 9) + 3?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -16.8 - -16.7754. What is z rounded to three dps?\nAnswer: -0.025","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -19960, -77764, -174104, -308980, -482392, -694340, -944824?\nAnswer: -1233844","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 197, 454, 869, 1430, 2125, 2942, 3869?\nAnswer: 4894","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 85\/372 + 2\/93. Suppose -4 = -6*n - 16. Which is bigger: n or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7362 > 7362?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -2*h**2 + 15*h + 99. Calculate k(11).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -3*4\/8*-2. Solve 4*d - r = d for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1d6964 (base 14) to base 3\nAnswer: -1222121221101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 297 and 1661?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.92 times 146.2?\nAnswer: -134.504","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 14\/35*(0 - -10). Sort 3, j, -69.\nAnswer: -69, 3, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*b - 30, -5*b - 2 = -4*h + 8 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = z. Let w(n) be the first derivative of -9 + 11\/2*n**2 + 0*n. What is a(w(b))?\nAnswer: 11*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-18*45\/40)\/(306\/51 - 81\/12).\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 481 minutes before 11:46 AM?\nAnswer: 3:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -8*v + 49. Let d be k(6). What is the greatest common factor of 16 and d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-9 - -6)\/(3\/(-16)). Suppose 3*h - 8*h + y = -2*n, -3*n - 7 = h. Solve 0 = -h*o - 6 - 2 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3 + (3 + -1 + sqrt(363) - sqrt(363)))*-2)**2.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) be the third derivative of -y**6\/1080 + y**5\/360 + 2*y**3\/3 + 2*y**2. Let a(c) be the first derivative of p(c). Factor a(h).\nAnswer: -h*(h - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find q, given that 4*q**4 + 320*q**3 + 1196*q**2 - 1520*q = 0.\nAnswer: -76, -5, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 13271 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*n**2 - 5*n**2 + 0*n**2 + (-2 + 2 - 1)*(-n + n**2 + n) - 7*n**2 + 17 - 17.\nAnswer: -11*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.028? (a) 6 (b) 3\/4 (c) -2\/3 (d) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = 6*i**2 - i. Let b be j(1). Suppose -b = -l + p + 5, 4*p + 30 = 3*l. Let o = -72 + 102. What is the highest common divisor of o and l?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12634*-3.\nAnswer: -37902","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3 + 5. Let r = 91 + -127. Let n be r\/8*(-30)\/9. Solve -u = i*u + n for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) be the second derivative of q**5\/20 + q**4\/4 - 2*q**3\/3 - q**2\/2 - q. Let i(o) = 2*o**3 + 7*o**2 + 3*o - 3. Let l be i(-3). Give a(l).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*w + 2316*a - 2315*a = 31, -5*w = -a - 2 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 394*a + 389*a - 776*a.\nAnswer: 7*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -g**5 + 6043*g**4 + 6047*g**3 - 18127*g**2 - 30218*g - 12088 = 0.\nAnswer: -1, 2, 6044","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3263 = 5*i + 3288, 4*i = -5*v + 655. Solve -v*o = -78*o + 228 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*z - 5*z = -5*i + 35, 3*z = 4*i - 31 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 234575 and 341?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 77 + -65. Suppose 5*g = -3*d + 7, b = 4*g - 5*d - 1. Suppose 0 = -m - 0*m - 4*n + 31, 135 = 3*m - g*n. Is m prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1900 + -2022.6. Round i to the nearest 10.\nAnswer: -120","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*j = -5*j + 5 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -b**2 + 12*b - 4. Suppose -4*a = 3*i - 135, 6*i = 3*i + 2*a + 135. Calculate the remainder when i is divided by x(10).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -205206 + -3?\nAnswer: -205212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p + p = 3*z - 6, 4*p + 3*z = 8. Let f = -46 - -47. Solve -p - f = -3*i for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8\/(-24)*(-54)\/(-6)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1707 or 1704?\nAnswer: 1704","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -258 - -286. List the prime factors of (1 + l)\/(3*(-4)\/(-240)).\nAnswer: 2, 5, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (3\/15 - 1)*-5. Let d(q) = -9 + 0*q + 2*q + 0*q - q**3 + a*q - 7*q**2. What is the units digit of d(-8)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 40738139?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 188 + -35. Does 16 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 146 a factor of 13123?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-3)\/(-1))\/1 - -2. Suppose -q - 2*v = -12, q - d*v = -2*v - 13. Put q, 5, -3 in decreasing order.\nAnswer: 5, q, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 2, a: 6}. What is prob of sequence laaa?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -19, 4, 64 in increasing order.\nAnswer: -19, -4, 4, 64","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 18013 to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 25380 and 8883.\nAnswer: 177660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1113 is divided by 13.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b - 68 = -2*v - 2*b, -5*v + 2*b + 206 = 0. Let s = -75 + v. Let w = -20 - s. Solve -2*m + m = -g - 2, w = 4*m + 3*g for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -3175 or 511?\nAnswer: 511","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 370.6 - 358.5. What is the fourth smallest value in g, -0.2, 2, 3\/4?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 3 (b) 343 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = q**2 - 37*q + 38. Let y be x(31). Let g = y + 250. What is the remainder when g is divided by 15?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 7\/2 (b) -2 (c) 3 (d) -9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = -2*v + 4*r, 4*v - 2*v + 2*r = 4. Suppose v = -x + 3*x - 6. Suppose 5*s = x*s. Is s bigger than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 37*f + 1 - 87 + 12. Let p be 2 + -1*(-8)\/(-3). What is the nearest to f in 7, -4, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 25296492 is divided by 147.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -151361 - -13?\nAnswer: -151346","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of (24\/15)\/(-4) - 64\/(-10) and 42?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 688 minutes after 1:09 AM?\nAnswer: 12:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 775 is divided by 373.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 293521?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -87451 (base 10) to base 16\nAnswer: -1559b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -155423523 - -4?\nAnswer: -155423515","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-143)\/(-104) - (3 + (-105)\/40). Let l(p) = -p**3 + 4*p**2 + 5*p - 1. Let b be l(5). Sort b, -76, c in decreasing order.\nAnswer: c, b, -76","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1343*k + 1310*k + 1342*k + 1324*k + 1343*k - 6669*k.\nAnswer: -7*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -1\/1208299 and 32\/262200883.\nAnswer: 262200883","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*n**5\/11 - 28144*n**4\/11 + 140670*n**3\/11.\nAnswer: 2*n**3*(n - 14067)*(n - 5)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.99, 3, -3\/2, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = 4*s**2 + 32. Let w(y) = 26*y - 12*y - 6*y - 9*y. What is w(q(v))?\nAnswer: -4*v**2 - 32","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2298 = -12*x + 6*x. Let z = x - 261. List the prime factors of z.\nAnswer: 2, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 2\/(-3) + 160\/24. Let h be -23 - (w - (6 - 3)). Let l be (-148)\/(-52) - 4\/h. Solve 0 = l*n - d + 3, -1 = 5*n - d + 2 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 - (0 + 2 + -8).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 358*a - 755 = 9269 for a.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1348 + -1352. What is the biggest value in n, 5, -0.4, -18?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 1, o: 1, v: 4, x: 5}. Give prob of picking 1 o and 3 x.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 - 1 = -m. Let d be 1*(m\/(-2) - -24). Let h = d - 12. Is 14 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 35*p**6*z**2 - 7*p**5*z**2 + 3*p**2*z**2 + 762*p**2*z wrt p?\nAnswer: 4200*p**3*z**2 - 420*p**2*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-18)\/12*2\/1.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2\/287 + -584\/1435. Let t = 1.1 + -1. What is the nearest to t in m, -0.1, 3\/2?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (v**2 + 2*v**2 + v**2)*(2 - 2 - 3) - 3*v**2 - 3*v + 3*v + (6*v - 4*v - 4*v)*(-5*v - 3 + 3).\nAnswer: -5*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.2336*0.075.\nAnswer: 0.01752","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -34, -185, -434, -775, -1202?\nAnswer: -1709","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 38*v - 43 + 119 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 4417263\/4 + -1101339. Solve -1\/8*l**4 - 250047\/2*l - 63\/2*l**3 - q*l**2 - 15752961\/8 = 0.\nAnswer: -63","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3 + 2. Let m be (4\/(-8))\/(f\/2). Which is the biggest value? (a) m (b) -0.4 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27036*s = -26742*s - 20580 for s.\nAnswer: 70","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Determine g so that -2*g**2 + 372656*g + 3726760 = 0.\nAnswer: -10, 186338","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 402053155?\nAnswer: 5, 7, 11487233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000026858 rounded to seven dps?\nAnswer: 0.0000027","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 2 + -4 + -2 + (4 - -5)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p = 4*q + 468 - 13, -5*p = -15. Let o = q + 313. Is o prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*w = -11*w - 10155633. Let y = w - 1365211. What is y rounded to the nearest one hundred thousand?\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-291)\/485 - (286\/(-60) + 3)?\nAnswer: 7\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -1206, -2414, -3622?\n\"Answer: -1208*x + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*a**3\/7 - 446*a**2\/7 + 3706*a - 118810\/7 = 0. Calculate a.\nAnswer: 5, 109","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 - v**3 + (-v**2 + v**2 + 2*v**2)*(v - 3*v + 0*v) - 5*v**3 + 3*v**3 + 4*v**3)*(4*v**2 + 0*v**2 - 2*v**2).\nAnswer: -6*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 3 (base 9) to base 8\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 6550 to the nearest integer?\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 596508 and 198836?\nAnswer: 596508","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1232.2 - 1232. What is the third smallest value in m, -2\/11, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -61 or -2.6?\nAnswer: -61","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 25 - -2. Suppose -256 = 2*p - 416. What is the remainder when p is divided by o?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24899 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(495)*3)\/sqrt(9))\/(sqrt(88)\/sqrt(72)) + 3 + -4.\nAnswer: -1 + 9*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 16*o**4*p**3 - 185*o**4*p - 2*o - 8*p**3 + 8 wrt o.\nAnswer: 192*o**2*p**3 - 2220*o**2*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 6414649 and -0.3.\nAnswer: -1924394.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-308)\/(-154)*-2*(-3)\/12?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (62\/7)\/(-2) + (-96)\/168?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -3*s**2 + 57*s - 102. Let i be c(17). Let a = 2\/725 + -2938\/13775. Is i at most as big as a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18332712 a multiple of 73?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 7525640?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 8 - 1. Let a be f\/3 - (-1)\/(-3). Let c be a*(-4)\/((-16)\/6). Sort c, 4, -5.\nAnswer: -5, c, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -4, 0, -2, -197, -43, -12 in increasing order.\nAnswer: -197, -43, -12, -4, -2, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 d when three letters picked without replacement from {h: 1, o: 3, d: 9, r: 4, w: 1}.\nAnswer: 7\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 51*((-184)\/(-483))\/(4\/14). Solve p = -5*l + 63 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*f + 542 - 547 = 0 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = x**3 + 5*x**2 - 6. Let h(i) = -3*i + 40. Let f(w) = -15*w. Let n be f(-1). Let m be h(n). Let z be s(m). Is -10 bigger than z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 54523 times 0.1?\nAnswer: 5452.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -11356295*q**3*z**2 - 2*q**3 - q*z**2 + 158442045*q wrt z?\nAnswer: -22712590*q**3*z - 2*q*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -6 - 91588\nAnswer: -91594","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -1500 divided by 75\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 410*b**3 - 5*b - 1 wrt b.\nAnswer: 2460*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*g**4 - 20781*g**3 - 29645469*g**2 - 15762951807*g - 2884885340940.\nAnswer: -3*(g + 569)**3*(g + 5220)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -o**2 - 270*o + 7716. Calculate w(-296).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*k - 2451 + 2451.\nAnswer: 4*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 182550?\nAnswer: 2, 3, 5, 1217","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 108948996?\nAnswer: 2, 3, 13, 73, 1063","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3.055857 decades to years.\nAnswer: 30.55857","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*l - 2 = 5*l for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*y - 5*y + 3*y)*(-2*y**2 - 2 + 2) + (-1697*y + 63*y + 499*y)*(10*y**2 - 7*y**2 + 2*y**2 - y).\nAnswer: -5671*y**3 + 1135*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -8*4\/((-8)\/(-3)). Let l(i) = -27*i - 24. Let d be l(-3). List the prime factors of ((-77)\/(-2))\/(d\/q - -5).\nAnswer: 2, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 704?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -14, -65, -170, -335, -566, -869?\nAnswer: -1250","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 62?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2096*a**4 - 5814*a**2 wrt a.\nAnswer: -50304*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -72*n = -76*n + 19908. What is the tens digit of n?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -3*x**2 + 9*x - 2. Let h(y) = y**2 - 5*y + 1. Calculate 7*h(f) + 3*j(f).\nAnswer: -2*f**2 - 8*f + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2653*t + 2677*t - 8007*t + 2021 = -2630*t for t.\nAnswer: 43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -2 + 1051?\nAnswer: 1046","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = o + 1. Let u be b(5). Suppose 3*d - 3 = -0*d. Let h(j) = -5 + 3 + 2 - d. Let a(f) = -2*f + 7. Give u*h(l) + a(l).\nAnswer: -2*l + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Work out 172.225952 + -533.89.\nAnswer: -361.664048","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1799 - -1770.06. Let j = 0.06 - m. Let k = -26 + j. Which is smaller: -0.1 or k?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1.6, 4.1, -2, 0, 0.222?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 - 1 = -8*l. Let k(u) = u + 8. Let w(m) = 3*m + 9. Let s(j) = l*w(j) - 3*k(j). Give s(8).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in eleven tenths of a milligram?\nAnswer: 1100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -z**3 + 83*z**2 - 5*z + 442. Calculate the remainder when 854 is divided by q(83).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = 5*d**2 - 3. Let x(s) = 3 - s**2 - 3*s + 7 - 3*s. Let b = 1 - 8. Let w be x(b). Let p(r) = 6*r**2 - 4. Determine w*p(j) - 4*n(j).\nAnswer: -2*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -7\/2 and ((-39)\/(-198))\/((-5)\/(-105)).\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = i**2 + 22*i - 2. Let m be l(-18). Let y = -32 - m. What is the highest common divisor of y and 28?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 17, 39, 4 in decreasing order.\nAnswer: 39, 17, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rr when two letters picked without replacement from {r: 6}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.01 in 3\/8, 0.1, 73, 26?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = b - 4. Let f(q) be the second derivative of q**3\/6 - 5*q**2\/2 + 16*q. Give -3*f(c) + 4*y(c).\nAnswer: c - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 55526 is divided by 4407.\nAnswer: 2642","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5577.\nAnswer: 3, 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 36 and 2766.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 139403279 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2636 in 3, 4, -49\/27?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 4852 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 903595730 and 1615.\nAnswer: 1615","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*z - 1556 = -29*z. What is the tens digit of z?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*h + 0*h - h)*(2 + 2 - 7)*(-3*h**2 + 4*h**2 + 0*h**2).\nAnswer: -3*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = 250*w + 252*w - 500*w. Let s(y) = -591*y. Determine s(i(z)).\nAnswer: -1182*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0 - 1. Let h be (12\/(-8) - 0)*(-2)\/5. What is the smallest value in h, y, -14?\nAnswer: -14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -47328 divided by -17?\nAnswer: 2784","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o*o**(3\/8)\/o*o**0*o)**(-29)\/(o**(4\/9)\/((o**(2\/7)*o)\/o))**(2\/9) assuming o is positive.\nAnswer: o**(-181033\/4536)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 3746077 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1059 is divided by 296?\nAnswer: 171","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Are 1 and -241\/3434 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 29307277.\nAnswer: 29307277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 + t**4 + 19*t**2 - 17*t**2 - 12 as z*t**4 + b*t**2 + d*t**3 + n*t + y and give y.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 254 minutes after 9:38 AM?\nAnswer: 1:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 4\/((-8)\/6) + 3. Suppose 0 = -d*c - 4*c. Suppose 4*w - 250 + 62 = c. Calculate the remainder when w is divided by 16.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -5*x + 2*x. Suppose -16 = x*t - 4*z - 368, 3*z - 408 = -5*t. Let r be (t\/9)\/((-4)\/(-6)). Calculate the highest common factor of 42 and r.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 45 - 25. Suppose 5*i = 10*i - r. Solve -i*q = -b + 9, 3*q + 5*b = 2*b + 12 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -135 - -671\/5. Let d = -3.93 - 0.07. What is the third biggest value in 2\/11, j, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -29 + 85 + -29 + (-7 - -2)?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Convert -5742 (base 12) to base 6.\nAnswer: -112522","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -7*f**2. Let q(i) = 7*i. Determine q(s(z)).\nAnswer: -49*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5428 by -118.\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*h**3\/3 - 290*h**2\/3 + 5005*h\/3 - 27040\/3.\nAnswer: 5*(h - 32)*(h - 13)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1054\/(-31)*1*-1. Let k = 39 - u. What is the units digit of k?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 19545, 78156, 175835, 312576, 488373, 703220?\n\"Answer: -y**3 + 19540*y**2 - 2*y + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -2*i - 3*r, 5*i - 2*r + r = 2. Let v = i + 3. What is the lowest common multiple of 8 and 4\/v*(-6)\/(-4)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -14 - -15.254. What is f rounded to 1 decimal place?\nAnswer: 1.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 86 + -84. Let s = -5.4 + 5. Let r = -0.06 - -0.1. Put r, n, s in ascending order.\nAnswer: s, r, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -23422774 (base 8) to base 12\nAnswer: -186ba24","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/101 in -0.6, 0.07, 0.77, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is -1456 at least as big as -1449?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 1, f: 6, q: 1, d: 4, a: 1}. Give prob of sequence qf.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-5)\/(-2))\/(-1)*(-3 - -5). Let w(v) = -v**2 - v - 3. What is w(o)?\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 51 a factor of 38811?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 416 = 9*o - 5*o. Let a = o + -66. What is the units digit of a?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = 13*r**3 + 13*r**2 - 9*r. Let t(j) = j**3 + j**2 - j. Let y(q) = 18*t(q) - 2*v(q). Find the third derivative of y(u) wrt u.\nAnswer: -48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1265691\/5 + -253138. Let j = -0.05 + 2.05. Which is the second smallest value? (a) j (b) -75 (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = 4*d. Let h(y) = 2*y. Let p(v) = -6*b(v) + 15*h(v). Let k(q) be the second derivative of 29*q**3\/6 - 137*q. Give k(p(u)).\nAnswer: 174*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (53\/17 - 0) + 29 + 15345\/(-527). Let v(w) = 68*w + 7. Let m(r) = -34*r - 4. Give l*v(c) + 5*m(c).\nAnswer: 34*c + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = 479*v + 2877. Let u be z(-6). Solve -4*t + 2*l - 13 = -t, 3*l - u = -t for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 33 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put -10186, 5, 1519 in decreasing order.\nAnswer: 1519, 5, -10186","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 232 + 23442?\nAnswer: 24224","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = r**3 - 19*r**2 + 24*r + 16. Let k be b(18). Suppose 4*u + 3*q + 349 = -239, k = -u + 5*q. Is -144 at least as big as u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -7.83839 to two dps.\nAnswer: -7.84","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 5372376 and 60.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) be the first derivative of 5*p**3\/3 + p**2 - 7*p - 11. Is c(-10) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.09 times 3\nAnswer: 0.27","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6954?\nAnswer: 2, 3, 19, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -40*c. Let g(f) = 3*f. What is l(g(r))?\nAnswer: -120*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -7*(-1 - 30\/(-14)). Let w be c*(-6)\/8 - (-60)\/2. Calculate the highest common divisor of w and 360.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 37 - 14 - 23 - 35*w.\nAnswer: -35*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 10487 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -d**3 - 7*d**2 - 10. Let w be m(-7). Let s = w + 14. Solve -3*o = s + 2 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*r + 0*r + r)*((-2 + 4 - 1)*(1 + 2 - 5) + 10 + 6 - 7) to j + m*r and give m.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (21700\/31)\/(-35)*(-4)\/(-4)?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4638 by 773.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 319434845.\nAnswer: 5, 17, 127, 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 50 = h + 4*h. Suppose -4*d = 5*v - 3*d - 19, 2*v = 2*d + h. Suppose -v*i = i. Let c(y) = y**2 + y + 7. What is c(i)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -4, -569 in increasing order.\nAnswer: -569, -4, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + (-496)\/1540 - (-808)\/2828.\nAnswer: -2\/55","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*h**4 - 1025*h**3 - 6285*h**2 - 9475*h - 4220.\nAnswer: 5*(h - 211)*(h + 1)**2*(h + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*d*n**2*q*t - 2*d*n**2*t**2 + 2*d*n*q*t**2 - 5*d*n*q - 2*d*q*t**2 - 8*n**2*q*t + n*q*t + 18*t**2 wrt n.\nAnswer: -4*d*q*t - 4*d*t**2 - 16*q*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/2? (a) 111 (b) 0.64 (c) 1\/10 (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*b**2 + 20445842866*b - 20445842866*b + 7*b**2.\nAnswer: 7*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1132.9 and 19?\nAnswer: 21525.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*m + c = -1, -4*m - 5*c = -5 + 10 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 3264384 and 24074832.\nAnswer: 192598656","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = p + 15. Let j be x(-8). Let q = 10 + j. What is the tens digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v = -43 - 57. What is the units digit of v?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 4\/9 in 0.1, 0.044, -3?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 37\/216 and -89\/12?\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-9 - 8449\/(-935))\/((-2)\/(-10)). Let r be -2 - (-5)\/((-10)\/(-6)). Let f be 17\/(-4) + r\/4. What is the closest to 0.1 in f, v, 2\/17?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -6810\/7 - -979. What is the common denominator of b and 38\/5?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:11 PM and 4:42 PM?\nAnswer: 91","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 33682949123 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -13 - -9. Let k = 152 + -764\/5. What is the biggest value in y, k, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 4, s: 1, n: 7, m: 1}. Give prob of sequence ys.\nAnswer: 1\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -1522673, -3045344, -4568015, -6090686, -7613357, -9136028?\n\"Answer: -1522671*k - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f - 131 = -4*a + f, -2*a + 3*f = -61. Let i = -32 + a. Factor -5*q - 29*q**3 + 18*q**3 + 16*q**i.\nAnswer: 5*q*(q - 1)*(q + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 27439?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*m**3 - 2106376506*m + 2106376506*m.\nAnswer: -6*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 174\/12 + (168\/156)\/(15\/(-195)).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-325474)\/804727 - 1*(-2)\/49.\nAnswer: -4\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1849263 to the power of 1\/2, to the nearest integer?\nAnswer: 1360","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = 125*i + 2. Let j(q) = -4746*q - 77. Calculate 2*j(u) + 77*t(u).\nAnswer: 133*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1.7 in 0.3, 7, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 97\/90 and 149\/128101410?\nAnswer: 128101410","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 105 (base 9) to base 13.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*f - 2*f - 19*f)*(3*f**2 + 3*f**2 + f**2) + (-4 - 6 + 4)*(f**3 + f**3 - f**3).\nAnswer: -132*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) be the first derivative of g**2\/2 + 12*g + 1. Suppose 5*u - 5*j = -50, -j + 17 = -8622*u + 8620*u. Give m(u).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 77 - 23 + 22 + 16*k**2 wrt k.\nAnswer: 32*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of ((-4)\/2)\/(22\/(-308))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000235765 rounded to five dps?\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-5562)\/72)\/(-103)*-72.\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = 10*i**3 - 16*i**2 - 16*i - 20. Let v(s) = 4 + 81*s**2 - 2*s**3 - 78*s**2 - 2*s + 5*s. Calculate 3*k(z) + 16*v(z).\nAnswer: -2*z**3 + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((d**6\/d)\/d)\/d)\/(d\/d**(-1\/13))*(d*d**(1\/6))\/d*d\/(d\/(d**6\/d))*d*d assuming d is positive.\nAnswer: d**(709\/78)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*a + 13 - 15 = 5*y + 3, 5*y = -9*a - 61 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4*1\/24*-3*-10.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -1324000 to the nearest 100000.\nAnswer: -1300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -55*d - 18. Let k(r) = -54*r - 16. Let n(f) = -2*k(f) + 3*x(f). What is the derivative of n(j) wrt j?\nAnswer: -57","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y = -7 + 11. Let p be 3\/(y\/4 + (-27)\/6). Let m = -26 + 23. Which is the third biggest value? (a) p (b) m (c) -0.5 (d) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -73\/140 and -16\/49.\nAnswer: 980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 174645 to the power of 1\/7, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = 0*i + i + 2 - 1. Let x be h(2). What is the units digit of -2 + (-1)\/(x\/(-12))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -6 in -21, 0.05, 17, 4, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -129 - -141. Suppose -q*k + 1716 = k. List the prime factors of k.\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-15)\/20)\/(-1) - (-51)\/12. Suppose 0*n - 63 = 7*n. Let m be (0 + n)*3\/(-3). Solve y*w = 2*z + 15, -3*z + 2*z + m = 3*w for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) be the third derivative of 1\/20*z**5 - 2*z**2 + 0*z + 0*z**3 + 1\/8*z**4 + 0. What is the second derivative of f(o) wrt o?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 35 and 10.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 59237 and 37?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/11, -3, 4\/5, -2\/11 in increasing order.\nAnswer: -3, -2\/11, 2\/11, 4\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -160*h - 13692 - 1188 for h.\nAnswer: -93","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3705?\nAnswer: 3, 5, 13, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 3299921 at most 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*k - 2*y = -12 - 14, k + 5 = 3*y for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1 - -5. Solve 2 = -2*g + n for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5 - 138*m + 162*m + 4 to b + v*m and give v.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*n - n + 5 = 5*w, -3*n + 15 = -2*w for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) be the second derivative of 5*z**3\/6 - 2*z**2 - 4*z. Let j be i(4). Let o = j - -8. Does 10 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 443752316 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -j**2 + 8*j - 8. Let k = 9 - 6. Suppose -p = k*p - 24. What is the units digit of i(p)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 215*s = 220*s + 15 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1031321151 a multiple of 469?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let 15*w**3 - 7*w**2 - 5*w**5 + 0*w**2 - 3*w**2 = 0. Calculate w.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 29449*c + 252 = 29463*c for c.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 4788284 to the power of 1\/2, to the nearest integer?\nAnswer: 2188","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (-2 - 0\/(-3))\/((-130)\/39)\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = a**3 - 9*a**2 - 12*a + 28. Give n(10).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 158575823 a multiple of 807?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 464 a factor of 266867?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) be the first derivative of -1 + 0*g + 4\/7*g**2 + 25\/14*g**4 + 40\/21*g**3. Factor p(r).\nAnswer: 2*r*(5*r + 2)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1822.29 - 1822.6. Which is the second biggest value? (a) 1\/6 (b) 0.08 (c) 0 (d) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -59\/5 (b) 83226 (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f - 4*p + 0*p - 6 = 0, 2*f = 4*p. Let s be (f\/1)\/(2 + 0). Suppose -4*r + c = -7, 2*r - 6 = -0*r - 2*c. Put r, -1, s in increasing order.\nAnswer: -1, s, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 300791696 to the power of 1\/3, to the nearest integer?\nAnswer: 670","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.28 - -1.02. Let b = -0.9 + r. Sort b, -4\/3, -1.\nAnswer: -4\/3, -1, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -15434 (base 6) to base 9.\nAnswer: -3434","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -u**3 + u - 2. Let i be r(-2). Solve 2*q - q = 5*b + 23, i*b - 4*q = -12 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = 9*c - 12*c**2 + 16 + 4*c**2 + 6*c**2 - 13. Let j = -63 - -67. What is q(j)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 520685 is divided by 93.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-2620)\/(-25) - ((-6)\/20)\/((-201)\/(-134)). Which is smaller: 108 or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6772.306996 rounded to 1 dp?\nAnswer: 6772.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c - 87 = -c. Suppose 0 = -2*d + z + 60, -6*d = -3*d - 5*z - 83. Let p = d + c. Solve 5*j + 23 = -p*g, -5*j + 5*g + 2 + 3 = 0 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*r**4 - 2*r**5 + 2*r**4 + (5*r**3 + 0*r**3 - 3*r**3)*(-9*r**2 + r**2 + 0*r**2).\nAnswer: -18*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) be the first derivative of 5*w**3\/3 + 15*w**2\/2 + 7. What is the second derivative of h(c) wrt c?\nAnswer: 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -18352 + 18539. Sort 5, -1, b, 8 in ascending order.\nAnswer: -1, 5, 8, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 4915 + -4915. Solve y = 34*d - 201 + 65 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 147 - 147.081. Let n = 3.993 - 3.912. Let v = m + n. Sort v, 1, -1 in ascending order.\nAnswer: -1, v, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 3, -1.4, -3, 0, 0.01, 2\/5307?\nAnswer: 2\/5307","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1375706691.\nAnswer: 3, 17, 157, 57271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 2761 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 30 divide 39966360?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 44*s - 2*s - 42*s - 586*s**2 to x*s + p + b*s**2 and give b.\nAnswer: -586","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 6978047 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -7, -22, -49, -88, -139?\n\"Answer: -6*f**2 + 3*f - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: (10 - 11)*(-2)\/13*-1\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (157*v**2 - 463*v + 463*v)*(5*v + v - 3*v)*(0*v - 2*v - v + (-2 - 1 + 4)*(3*v + 5*v - 6*v)) to u + k*v**2 + z*v**4 + y*v**3 + n*v and give z.\nAnswer: -471","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -1919145 (base 10) to base 12\nAnswer: -786749","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 a factor of 3885?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ss when two letters picked without replacement from {f: 1, s: 3}.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -4898.1, 5, 0.5, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -2930800 to the nearest one hundred thousand.\nAnswer: -2900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Are 926278\/405 and 2288 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = 0 + 0 + 4*t - 6*t. Let p(a) = -3*a. Give p(l(z)).\nAnswer: 6*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 484.588988 rounded to one dp?\nAnswer: 484.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 17 + -12. Find the second derivative of s**q + 8*s + 2*s**5 - 5*s wrt s.\nAnswer: 60*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -6*y**2 - 4. Let x(l) = -13*l**2 - 9. Let p(u) = 9*c(u) - 4*x(u). Let d(r) = -201*r. What is d(p(h))?\nAnswer: 402*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -1*3 + -11 + 11. Let p(f) = 2*f - 1. Determine p(k).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-2 - (12 - 25)) + 0 + -2\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (-g - 3*g + 2*g + (4 - 1 + 0)*(-4*g + 3*g - 2*g))*(3346 - 3346 + 632*g**2) as s*g**3 + k + t*g + v*g**2 and give k.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.27607502 + 121739.\nAnswer: 121739.27607502","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12515037 - -5.\nAnswer: 12515042","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u - 5*m = 2280, 4*u + 2*m + 330 + 1490 = 0. Let q = 846 + u. What is the units digit of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7880?\nAnswer: 2, 5, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 41079506 greater than 41079504?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 435911 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-4\/3))**(-13\/3) assuming y is positive.\nAnswer: y**(52\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y\/(y*y**(-12\/7)\/y))**(-2)*y*y\/y**(-14)*y*y*y*y*y*y**(-8)\/y*y)**(-41) assuming y is positive.\nAnswer: y**(-2173\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = f**2. Let y be r(0). Suppose t - 4 = -2*l + 6, y = 2*t - l. Solve 0 = -2*v - t*v - 16 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-16)\/(-2)*(-34335)\/(-180)?\nAnswer: 2, 7, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 563399 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4724 is divided by 1278?\nAnswer: 890","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*a + 13 + 2. Suppose -a*r = -7*r + 68. Is r a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -233 less than 0.07?\nAnswer: 233.07","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -54300 rounded to the nearest 1000?\nAnswer: -54000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 4, c: 2, w: 1, k: 2, g: 2, s: 3}. What is prob of picking 1 y, 1 k, and 1 c?\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) be the third derivative of x**6\/120 - x**5\/10 - 5*x**4\/24 - x**3\/3 - 2*x**2. Let d be g(7). Let l be (-8)\/d - 1\/3. Sort 3, l, -5.\nAnswer: -5, l, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = o**3 - 18*o**2 - 46*o - 54. Let m be i(22). Suppose x - 12 = -3*x. Suppose m = -x*b - 1380. What is b rounded to the nearest one hundred?\nAnswer: -800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1690 + 122*n + 442 - 2575 + 443.\nAnswer: 122*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1331841?\nAnswer: 3, 7, 63421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put 324, 6, 2780 in descending order.\nAnswer: 2780, 324, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = s**2 - 23*s. Let u be y(23). Suppose -19*i + 10*i = u. Solve 0 = -c - i*c - 4 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 6631 and 3223 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (60\/(-40))\/((-1)\/(2\/(-4)))?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -42230 less than 244166?\nAnswer: 286396","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*i**4 + 0 + 0*i + 0*i**2 + 28\/5*i**3 - 2\/5*i**5.\nAnswer: -2*i**3*(i - 7)*(i + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0010544502 to 7 decimal places.\nAnswer: -0.0010545","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 7, l: 2, p: 3, b: 6, f: 1}. What is prob of sequence fl?\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t\/((t\/(t\/(t\/(t**16*t*t)*t*t)))\/t))\/(t**(-6\/11)\/t*t)*t*t**(-20)*t*t**24)**42 assuming t is positive.\nAnswer: t**(10878\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 62376 - 4990199\/80. Suppose -h = -5*m - 48, -2*m = -4*h + 2*m + 240. Find the common denominator of l and ((-2)\/(-48))\/(h\/2100).\nAnswer: 720","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 y when three letters picked without replacement from hhyyihiyhihhi.\nAnswer: 1\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.246024 minus 0.1?\nAnswer: -0.346024","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -9*u - 10. Let h = -14 + 14. Suppose h*q - 4 = q. What are the prime factors of y(q)?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -z**2 + 35*z + 200. Is 10 a factor of f(19)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 50 * -0.6.\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 f and 1 y when four letters picked without replacement from enfefnnneeyeef?\nAnswer: 1\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v = 2*s - 282, 88*s = 3*v + 84*s - 836. What is the least common multiple of v and 252?\nAnswer: 2520","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2 + 1*(16 - 1). Let d(v) be the third derivative of 2059*v**4\/12 - v**3 + v**2. Let m be d(s). Round m to the nearest one hundred thousand.\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 4298008 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) be the third derivative of 0*a + 57*a**2 - 2 - 8\/165*a**5 + 0*a**3 - 3\/44*a**4. Factor r(b).\nAnswer: -2*b*(16*b + 9)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = t**3 + 4*t**2 - 3*t + 11. Calculate the remainder when 67 is divided by u(-4).\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/8 of a litre in millilitres?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pdddpdpdpdpp. What is prob of picking 2 d?\nAnswer: 5\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 21541 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -341 + 142322422?\nAnswer: 142322041","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-722)\/(-612) - 539\/462.\nAnswer: 2\/153","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 576\/(-320) - 1352\/(-65)?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 0.245, 5, 0, 3\/4 in decreasing order.\nAnswer: 5, 1, 3\/4, 0.245, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -825 - -868. Calculate the remainder when y is divided by 39.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -387 + -0.8.\nAnswer: -387.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -12 - -27. Let w = -5 + q. Is w a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u and 1 w when two letters picked without replacement from {u: 1, t: 1, h: 3, r: 1, w: 1}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 1b (base 15) in base 7?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Do -145 and -39142\/269 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -2 - -6162103?\nAnswer: 6162101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 79 is divided by 26?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) be the third derivative of x**8\/3360 - x**7\/5040 - x**6\/240 + x**5\/10 - 4*x**2. Let b(h) be the third derivative of v(h). Is b(-4) a multiple of 30?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + sqrt(19) + -2)**2 + 0 + sqrt(57)\/sqrt(3) + sqrt(19) + sqrt(19).\nAnswer: sqrt(19) + 20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1371335513 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*s**2 + 4105*s - 99500 = 0.\nAnswer: 25, 796","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (60\/(-72))\/(35\/(-56))*(17 - -4)?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -316771, -316767, -316761, -316753, -316743, -316731, -316717?\nAnswer: -316701","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = 11*c + 17*c - 36*c. Let i(k) = -2*k**2. Give o(i(n)).\nAnswer: 16*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3 - -3.2. Let l = -0.02 + 0.52. Let q(p) = 13*p - 151. Let j be q(12). What is the biggest value in j, l, n?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (7 - (8 + 1) - -17) + -15.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 366365?\nAnswer: 5, 47, 1559","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -332.334+-5496787\nAnswer: -5497119.334","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -4 + 7e9114c?\nAnswer: 7e91148","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (16\/(-28))\/((-40)\/(-28))?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 504 and 8064.\nAnswer: 504","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is (-828)\/(-138)*(-35897)\/(-6) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 269322 a multiple of 321?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 5873.1 (b) -3\/5 (c) 941\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a - b - 32 = -0*b, -6 = 3*b. Solve 0 = -3*v - 0 + a for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 4 - 3 + (-2 + 2 - 2)*(4 + 1 - 6) + 1 + 1 - 3)*(c + 4*c - 3*c)*(2*c**2 + 3*c**2 - 6*c**2 + (227 - 16 + 92)*(-5 + 3 + 5)*(1 - 1 + 3*c**2)).\nAnswer: -5452*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -14*c**2 - 142*c - 9. Calculate the remainder when 886 is divided by z(-10).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1515, -0.3, 1.3, 0 in increasing order.\nAnswer: -1515, -0.3, 0, 1.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -656580 (base 9) to base 10\nAnswer: -391950","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 61 - 11?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -n. Let q(w) be the first derivative of w**2 - 30*w + 47. What is a(q(h))?\nAnswer: -2*h + 30","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -6 - -11. Suppose -5*z + b*p = 0, -z - 4*p + 12 = z. Let d(v) = -4 + 3 + 3*v + z - v. Let s(w) = 2*w + 2. What is -5*d(y) + 4*s(y)?\nAnswer: -2*y + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 341137 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -26*n + 1100. Calculate the lowest common multiple of 20 and c(33).\nAnswer: 2420","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -5 - -4.93. Let z = c - -0.17. What is the third biggest value in -2\/7, 4, z?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (7 + -10)\/(-63)*-3?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 187 or 28189?\nAnswer: 187","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 408 minutes after 5:13 PM?\nAnswer: 12:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = 0*k - 385*k**2 - 3*k + 384*k**2. Let y be g(-7). Which is greater: y or -33?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*x**3 + 22226*x**2 - 88928*x + 88936.\nAnswer: 2*(x - 2)**2*(x + 11117)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + sqrt(1573)*-1 - sqrt(1573)*1*-6) + 4*((sqrt(1573) + -2*sqrt(1573) + 5 - sqrt(1573)) + -2 + sqrt(1573) + 1)**2.\nAnswer: -297*sqrt(13) + 6360","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.6829 + -0.5829. What is the third biggest value in 1, x, -1922, 2?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -132423, -265269, -398121, -530979, -663843?\nAnswer: -796713","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2*((-2296)\/(-144) - 485\/(-873))?\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -83 + 110. Let c be -126 + -1 + (-81)\/d. Let u = c + 252. Is u a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*i**3*w**4 + 39*i**3*w**2 - 34*i**2*w**4 - 6*w wrt w?\nAnswer: -48*i**3*w - 816*i**2*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 0.3 (b) 3 (c) 2\/7 (d) 4\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 48292, -3, 3 in ascending order.\nAnswer: -3, 1, 3, 48292","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-21)\/3*3\/(-7))\/1?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-9)\/(-6) - (7 + -7)) + -2. Let g(t) = 3*t**3 + t - 1. Let q be g(1). Let d = 635\/13 + -49. Which is the nearest to j? (a) -1\/2 (b) d (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -83\/20, 0.7, -2?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -233*l**3 + 110*l**2. Let m(b) = 467*b**3 - 220*b**2. Let y(i) = 3*m(i) + 7*o(i). Find the third derivative of y(j) wrt j.\nAnswer: -1380","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1c68 (base 13) to base 14.\nAnswer: 17dd","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1029 - 1029. Which is the nearest to 2\/3? (a) 0.1 (b) 4 (c) -0.3 (d) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u + 3*z - 1 = 0, -2*u + 12 = 2*u + 4*z. Find the third derivative of -12558 - 303*x**2 + u*x**6 + 4*x**3 + 12558 wrt x.\nAnswer: 480*x**3 + 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -7 + 9. Let s = 15 - c. Solve 5*t + s = 3*q - 2*q, 16 = -2*t + 4*q for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -s + 22*s + 10*s in the form a*s + h and give a.\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -243035153 - 6?\nAnswer: -243035161","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:56 AM and 5:48 AM?\nAnswer: 292","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v - 6358 - 1865 = 0. Is v a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.3 times -102\nAnswer: -30.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 5*(-1 + 14\/10). Suppose y - 1 = -0. Let f = -2 + y. Sort r, 4, f in decreasing order.\nAnswer: 4, r, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 658, 849, 574, -173, -1398, -3107, -5306, -8001?\nAnswer: -11198","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 + 2 + u**4)*(-6 + 5 - 4 + (6 - 3 - 2)*(-2 + 6 - 5) + 6 + 5 + 0) as q*u + g*u**3 + s*u**2 + o*u**4 + a and give o.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -5469*f**4 + 8807*f**3 - 16678*f**2 - 1358*f wrt f.\nAnswer: -131256*f + 52842","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 6\/(-3)*(-3)\/6. Let z be 4 + 1*(-2)\/m. Factor -2*y**2 + 12*y + 2*y**2 - 5*y**2 + 2*y**z - 9.\nAnswer: -3*(y - 3)*(y - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -447*a**2*m**3*p + a**2*m**3 - a**2*m**2*p + a**2*m**2 - 5*m**3 + 622*p wrt m?\nAnswer: -2682*a**2*p + 6*a**2 - 30","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 125572 + -72896. List the prime factors of n.\nAnswer: 2, 13, 1013","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 16 + -12. Solve -2*x - 15 = -5*s - 0*x, s + t*x = 25 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -9, 11, 4.\nAnswer: -9, -1, 4, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -7 + 7. Suppose 0 = -g*y + 2*y. Suppose 4*a - a - 12 = y. What are the prime factors of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 22950*l**2 - 16314*l**2 + 30441*l**2.\nAnswer: 37077*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1582?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 62\/(-8) + 1\/(-4). Let l be 8\/24 + v\/(-3). What is the first derivative of 7 - 14*u - l + 10*u wrt u?\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = x**2 - 2*x - 4. Suppose 2*c = -1 + 7. Suppose 0*i = -c*i - 3. Let n = 2 - i. What is g(n)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -24132 - -110?\nAnswer: -24022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 4\/4203, -2, 0?\nAnswer: 4\/4203","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 280 and 35.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1957 and 9991?\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.28959555 from -786.\nAnswer: -785.71040445","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) be the first derivative of y**3\/3 + y**2\/2 - 132*y + 93. Let c be p(-12). Factor c - 2\/13*w + 2\/13*w**4 - 2\/13*w**2 + 2\/13*w**3.\nAnswer: 2*w*(w - 1)*(w + 1)**2\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -q - 11446 - 4*q**4 + 11445 + 2*q**4 - 2*q**3 - 65*q**2 in the form d*q**3 + b*q + j*q**2 + r + k*q**4 and give k.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 4 - 18 - -3 - (-5 + 2)\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -v**3 - 17*v**2 - 40*v + 2. Let x be q(-3). Put -10, -5, x, 4 in descending order.\nAnswer: 4, x, -5, -10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 20 + -15. Let s = -67846\/11 + 6168. Which is the closest to 1? (a) s (b) -0.4 (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 421760 - 4?\nAnswer: 421756","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -9*s. Let a(j) = -6*j. Determine l(a(k)).\nAnswer: 54*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 - 24 = -4*n. Let w(m) = n - 6 + m. Let t(f) = 2*f + 2. Let s(x) = x**2 - 11*x - 11. Let g(v) = -2*s(v) - 11*t(v). Give g(w(z)).\nAnswer: -2*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 213 + -92. Let c be -3 + 2 + (-2)\/(-1) + 4. Suppose -4*f = -2*m - 104, -3*m = c*f - m - d. Calculate the remainder when 69 is divided by f.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*q - 0 - 3, 4*g = -4*q. Let j = 0 + -0.3. What is the third smallest value in -2\/5, j, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.4, 212, 0.4, 1\/3, -6?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*x**2 + 2*x**2 + 1 + 2*x**2 to the form f*x**2 + h + r*x and give f.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1.2 (b) -0.26 (c) 82\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*j**4 - 150*j**3 + 915*j**2 + 1160*j - 8400.\nAnswer: -5*(j - 4)**2*(j + 3)*(j + 35)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -5746327 and -8.\nAnswer: 45970616","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -2 + (2 - 4) + 8\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1.5034 or -7\/10?\nAnswer: 1.5034","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8000.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 51*r = 318*r - 2268 - 1203 for r.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*f - 3*f - f)*(127*f**2 - 5*f - 126*f**2 + 3*f) in the form n*f**2 + u*f + d*f**3 + m and give d.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s + 13 = u, -u = -s - 5*u + 17. Suppose -i + 0 + 4 = 0. Put s, -12, i in ascending order.\nAnswer: -12, i, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is af + -9349?\nAnswer: -929a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = o**3 - o**2 - 3*o + 1. Let l(z) = z**3 + 8*z**2 + 2*z + 2. Let y be l(-8). Let i be y + 19 + 2\/(-2). Is a(i) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + (6 - 8) + -3.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 12\/(-260)*18*-265. Let l = s - 220. Let z = -2760 - -2759. Do z and l have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 59140380 is divided by 658.\nAnswer: 656","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.2 - 0.3. Let b = -0.17 + -0.03. Sort b, r, -1 in decreasing order.\nAnswer: r, b, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 10 + -6. Suppose 96 = -c + k*c. Let o = 11 + c. What is the remainder when o is divided by 15?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (13*u - u + u)*(2 - 1 - 3)*(-2*u + 4*u + 0*u) + (1 - 1 - 2*u)*(-4*u + 2*u + 4*u) + 3 + u**2 - 3.\nAnswer: -55*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -7\/1233 in 0.4, 4, -2, -164, -3?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -18*o + 15*o. Suppose o = -3*a - 3*a + 7*a. Solve a = 2*f + 2*z, 5*f + 6 = -3*z + 16 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -70*l + 61*l = -396. Solve l*f = -f + 90 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -302 (base 5) to base 13.\nAnswer: -5c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 39683 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -217 - -256. What is the remainder when 114 is divided by w?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 9}. What is prob of sequence kkkk?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 2553110171 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: What is the value of (21\/(-6)*13068\/(-693))\/3?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 20620823 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ggfgffggggggfgggggg. What is prob of picking 1 g and 1 f?\nAnswer: 20\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: (174\/(-14))\/(1\/(-21)*(-3312)\/(-736))\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 229600 to the nearest ten thousand.\nAnswer: 230000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -124578 (base 11) to base 12\nAnswer: -95763","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: Is 23 at most as big as 18?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3\/5, 3, 6, 0.059, 1 in descending order.\nAnswer: 6, 3, 1, 0.059, -3\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -161*r + 1307. Calculate t(11).\nAnswer: -464","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 69 less than 77?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 - -0.199015592.\nAnswer: 5.199015592","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*j**2 + 5*j**2 - 5*j**2 + (-2*j + 2*j - 2*j**2)*(-2 + 1 + 2) + 1 - 1 + j**2 - 2*j - 2*j**2 + 2*j - 2 - 16*j**2 + 2 + j**2 + j**2 - 3*j**2.\nAnswer: -22*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*j + 2986 = -0*j - n + 2339, 4*n = -3*j + 121 for j.\nAnswer: 43","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*f + 2*f + 3*f + (1 - 1 + 2)*(9 - 24*f - 9) - 45*f + 94 - 94.\nAnswer: -92*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -35, -41, -47?\nAnswer: -53","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m**4\/4 - 93*m**3\/2 + 843*m**2\/4 + 186*m - 855 = 0. What is m?\nAnswer: -2, 2, 5, 57","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1998040 is divided by 6638.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*y - 3*c - 22, -9 = 3*y + 4*c + 1. Suppose y*o - 2*r - 774 = 0, 2*r = 4*o - 106 - 1452. What is the units digit of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -3*h + 1. What are the prime factors of t(-11)?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) be the first derivative of -9*d**2 + 22*d + 29. List the prime factors of b(-11).\nAnswer: 2, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 37705952?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-1\/5)\/(o\/(o*o**4\/o*o*o)))\/(o**2)**(1\/11) assuming o is positive.\nAnswer: o**(254\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 444 minutes after 2:33 AM?\nAnswer: 9:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25 = 15*r + 20 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 11923973, 11923961, 11923949, 11923937, 11923925?\n\"Answer: -12*o + 11923985","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-12)\/45)\/((-4)\/(-10)).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 29736060 is divided by 2432?\nAnswer: 2428","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00696296 rounded to 4 decimal places?\nAnswer: 0.007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) be the first derivative of -f**2\/2 + 6*f + 4. Let x be p(2). Let t be x*2\/2 + -4. Solve t = 2*l - 2*j - 10, l + 2*j - j = 3 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d*((d\/(d**(-1\/15)\/d))\/d)\/d*d*(((d**(-1\/16)\/d)\/d)\/d)\/d*d)\/((d*d**26\/d)\/d**(-2\/15)) assuming d is positive.\nAnswer: d**(-6511\/240)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -26*b + 494. Let j be y(19). Solve -8*g - 4*g + 36 = j for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1788\/1937*(-1365)\/(-12)?\nAnswer: 105","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -18*c - 2. Let n = -3191 - -3184. Let s(r) = 9*r + 1. What is n*s(h) - 3*o(h)?\nAnswer: -9*h - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*o = -2*t + 16, -68029*o + 2*t = -68033*o + 18 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -4 (b) 12 (c) 1\/3 (d) 17 (e) 0.42\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*p + 192 = 3*p for p.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 28375690?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -r + 3, 4*p = -7*r + 4*r - 503. Suppose 440 = 3*k - 391. Let w = p + k. Is w prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve o = 3*o + f, 70*o - 59*o - 5*f + 42 = 0 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = 80*g**2 - 2*g + 1. Let q be n(1). Let p be 211\/(-7) + 2\/14. Let d = q + p. Is d a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -310 divided by 127.\nAnswer: -310\/127","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*l - 7*l + 5*r - 348 = 0, 2*l - 348 = r. Let k be (-1)\/(-1 + 8\/12). Suppose k*g - l = -3*g. Is 3 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g**2 - 2*g - 15 = 0. Calculate g.\nAnswer: -3, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3555*p + 15 = -4*r - 3558*p, -4*p = -5*r + 20 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (151 - 195)*1\/(-4).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) be the first derivative of 2*g**3\/3 - 5*g**2 - 28*g + 197. Factor z(r).\nAnswer: 2*(r - 7)*(r + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -20 - 2*i + 0 + 15. Let m(p) = p + 6. Determine -4*a(h) - 3*m(h).\nAnswer: 5*h + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 163 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/(-12 - -8)*((-3)\/(-15) + 1).\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -1\/241, -0.1, -1, -5, -0.4 in ascending order.\nAnswer: -5, -2, -1, -0.4, -0.1, -1\/241","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 1 and 3.92881?\nAnswer: 2.92881","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Add 9812787 and -5.8.\nAnswer: 9812781.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 95295406 a multiple of 79?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = r**2 + 7*r + 3. Suppose -4*f = -0*f - 60. Suppose f = -2*o + 3*x - 3, -4 = o + x. Calculate n(o).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1*12\/10)\/((26\/(-195))\/(-1))?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-5)\/30 - 75\/(-18). Suppose r = d - 22. Is d a multiple of 26?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 94 + -92. What is the second derivative of -78*i**2 - 28*i + 137*i**z - 89*i**2 wrt i?\nAnswer: -60","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 1, d: 5, v: 4, a: 1, z: 1}. Give prob of sequence ze.\nAnswer: 1\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i - 18 = -2*s - 8, -3*i + 4*s = 20. Sort i, -2, -5 in descending order.\nAnswer: i, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -233, -5, 4, -4, 36, 12 in decreasing order.\nAnswer: 36, 12, 4, -4, -5, -233","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 3564334 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -469*y - 478*y - 490*y - 769*y + 2207*y.\nAnswer: y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) be the first derivative of s**4\/4 - s**3 - s**2\/2 + 3*s - 3. Let u be x(3). Suppose u = 3*g + 9, m + 3*m - 87 = 5*g. Is m a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5 - -10 - -9) + -48?\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 60 - 55. Let d(q) = -q - 27. Let a be d(-23). Sort 1, y, 0, a.\nAnswer: a, 0, 1, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -a**5 + 1007*a**4 + 29255*a**3 - 285087*a**2 + 478386*a - 223560 = 0. What is a?\nAnswer: -36, 1, 6, 1035","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in one quarter of a litre?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 99087779?\nAnswer: 7, 113, 125269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = 50*l + 98. Calculate b(-2).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 316854?\nAnswer: 2, 3, 29, 607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6 + 3 + 7)*(-2 - 1 + 1)*(-r + r + r**5).\nAnswer: -8*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Determine m, given that -3*m**5 - 2058*m**4 - 323925*m**3 + 10415490*m**2 + 93403008*m - 225843552 = 0.\nAnswer: -356, -9, 2, 33","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3610 - 3578. Solve -119*n + l = -127*n for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 2, i: 1}. What is prob of sequence tit?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = d**3 + 20*d**2 - 25*d - 59. Let x be f(-21). Let u = 0 - -2. Suppose -3*s + u*s = -2. Solve x = 5*k, -s*k + 20 = -5*w + 2*k for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 25443 and 891.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 4 divided by 235\nAnswer: 4\/235","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 43, -11 in increasing order.\nAnswer: -11, -3, 43","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = 3*f**2 + 8*f - 21. Suppose 0*p + 3*p + x - 8 = 0, 5*x = 10. Let o be c(p). Solve -2*m - 5 = -o for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -533 = 62*s - 4806 - 563 for s.\nAnswer: 78","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*p - 124*y + 123*y - 10, 20 = -3*p - 4*y for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 4.147 - 4.087. What is the third biggest value in 32, -2\/3, -0.4, 2, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 2040298 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) be the first derivative of 19*c**4\/4 + 2*c**3\/3 + 63*c - 110. What is the third derivative of d(t) wrt t?\nAnswer: 114","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -c + 5*p + 13, -3*c - 2 = 4*p - 3. Suppose c*l - 4*r - 377 = 0, -l + 51 = -3*r - 73. What is the remainder when l is divided by 27?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4001032 rounded to the nearest one thousand?\nAnswer: -4001000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -583 + 875. Suppose 0 = 2*o - k - h, -568 = -3*o - o - 2*k. Let m = -114 + o. Calculate the remainder when m is divided by 12.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 151636?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 126 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 60375.\nAnswer: 3, 5, 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 9, -24, 2, 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -1002 + 0?\nAnswer: -1002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3243.\nAnswer: 3, 23, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 401235 and -0.66?\nAnswer: -264815.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -i + 40. Let s(y) = 3*y - 64. Let a(c) = 2*k(c) + s(c). Suppose -w + 7*u + 12 = 3*u, -5*u = 15. Determine a(w).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 8.8 - 9. Let u = 0.199825 + t. What is u rounded to 5 decimal places?\nAnswer: -0.00018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 30\/140*-1*4\/12\nAnswer: -1\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-127 + 127 + 38*r)*(-3 + 2 + 3) + (-3 + 3 - r)*(-1 + 1 - 3) - 2*r - 2 + 2.\nAnswer: 77*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -43\/276 and -65\/348.\nAnswer: 8004","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p - 5*d + 65 = 0, -3*p = -d + 4*d + 9. Let l(r) = r**3 + 8*r**2 - r + 4. List the prime factors of l(p).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -9, -918, 1, -5, 13 in descending order.\nAnswer: 13, 2, 1, -5, -9, -918","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 4 and 54?\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 11.714 - 12. Let f = 0.4 + j. Let b = -0.014 + f. What is the biggest value in -5, b, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7759335 divided by 1\nAnswer: 7759335","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -937870*j. Let l(g) = 6*g. Give h(l(y)).\nAnswer: -5627220*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = a - 1. Let g be ((-3)\/(-2))\/(-6*1\/(-96)). Suppose 0 = g*t - 27*t + 6. Give v(t).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 183*k**2*s + 39*k**2 + 199*k*s + 32941056*s wrt k.\nAnswer: 366*k*s + 78*k + 199*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 b when two letters picked without replacement from nbpppnbp.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-108)\/15)\/((-2)\/(-35)). Let s = -75 - l. Suppose -2*u = -s + 19. Is u a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 3 and 759147?\nAnswer: 759147","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2372280?\nAnswer: 2, 3, 5, 53, 373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) be the third derivative of -c**7\/105 + 3*c**6\/20 - 7*c**2. Factor b(s).\nAnswer: -2*s**3*(s - 9)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 8*a**2*r**2 + 3*a**2*r + a*r**2 + 1388*a*r - 190*r**2 wrt r?\nAnswer: 16*a**2 + 2*a - 380","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -5*a**2 - 14*a - 12. Let b be s(-5). Let t = -50 + 20. Let g = t - b. List the prime factors of g.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -114.677 and -969428858.\nAnswer: -969428972.677","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 607.8199 centuries?\nAnswer: 729383.88","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -10560*m + 2*m**2 - 10561*m + 21121*m. Let s(g) = -22*g**2 + 30*g. Calculate s(o(y)).\nAnswer: -88*y**4 + 60*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2022840 and 4320.\nAnswer: 1080","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = j**2 + 3*j - 4. Let i be m(-4). Suppose i = -n - 3*d + 8, 4 + 1 = n + 2*d. Is -0.2 less than n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -3*k**2 - 5*k - 25. Let m(l) = -8 + 7*l + 58 - 4 - 11 + 4*l**2. Let q(j) = -5*m(j) - 7*v(j). Let d(g) = 6*g - 13. Calculate q(d(z)).\nAnswer: 36*z**2 - 156*z + 169","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -72563 = -7*p - 1632. Is p composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 20184669 is divided by 525?\nAnswer: 519","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -164, -146, -120, -86?\nAnswer: -44","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*n + 8, -5*n - 32 = 5*q + 28. Let x(s) = s**3 + 7*s**2 - 4*s + 9. Determine x(q).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4\/(-4)*-6)\/(129\/172)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 79690719 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -r**2 + 8*r + 4. Let o(b) = 2*b**2 - 15*b - 8. Let m(w) = 7*k(w) + 4*o(w). List the prime factors of m(9).\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nnnannnnnnnnaannnnnn. What is prob of sequence an?\nAnswer: 51\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 50 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -u**3 + 3*u**2 + 212*u + 54. Give c(-13).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 6426, 12854, 19344, 25932, 32654?\nAnswer: 39546","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*q - 4*q + 78. Let b = q - 17. Is -127*(b + 6\/2) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 25 + -67 - (1 + (9 - 8))\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) be the first derivative of -9*l**5\/5 + 38*l - 2. Differentiate f(s) wrt s.\nAnswer: -36*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = 88*r + 63. Let y be w(-6). Let n = y - -474. Solve 2*z = -3*b + n, -5*z + 5 = -0*b + 4*b for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-118)\/360 - (-10)\/(-45) and -117\/10?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -451763, -451756, -451739, -451706, -451651, -451568, -451451?\nAnswer: -451294","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (168 - 172) + 39\/10 + 0.\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 384?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 109 from -0.17.\nAnswer: -109.17","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -19*o + 2*o**2 + 4 - 8*o - 4*o**2. Let l(g) = -2*g**2 + 13*g + 12. Let d be l(8). Let h be f(d). Calculate the greatest common factor of h and 30.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 34 and -307.\nAnswer: -10438","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 13\/760 and -25\/456?\nAnswer: 2280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -628, -5107, -17252, -40897, -79876, -138023?\nAnswer: -219172","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 - 2 + 2)*(28*h + 23*h - 19*h + 4*h + 0*h + 4*h + (-3 + 3 + 1)*(h + 2*h - h))*(-5 + 0 + 3) in the form o + p*h and give p.\nAnswer: 168","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*s - 9 + 0 + 0*s**3 + 5 - 11*s**3 in the form i*s**2 + j*s**3 + f*s + g and give g.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 86827444 > 86827444?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 25\/(-15)*((-10)\/4)\/(3*4\/36)\nAnswer: 25\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: What is eleven quarters of a litre in millilitres?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 212560 divided by -40.\nAnswer: -5314","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*p**3 + 37*p**3 - 47*p**3.\nAnswer: p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 3 + a9?\nAnswer: ac","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of d**3*q**2 + 2067961*d**3 + 5*d**2*q**2 - 78*d**2 - 1277*d*q wrt d?\nAnswer: 6*q**2 + 12407766","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 2\/(-3 + (-14)\/(-4)). Suppose 2*p = x*p - 24. Let g be (p\/(-14))\/(33\/(-21)). What is the smallest value in -0.1, g, 3?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1389039?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = 526*o**3 - 4*o**2 + 3. Determine f(-1).\nAnswer: -527","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -3, -13, -1\/2, -2\/17?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (107 + -107 - (0 - (1 + -8))) + -10?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 4, 2\/253 in decreasing order.\nAnswer: 4, 2, 2\/253","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence no when two letters picked without replacement from nnnnnnonnnnn.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = 10*o + 112. Let f be i(-11). Factor 16*d**2 - 36*d**f - 100*d + 4*d**3 - 5*d**3.\nAnswer: -d*(d + 10)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z*z*z**(-1\/5)\/z*z*z*(z**(1\/2)*z)\/z*z*z**8\/z**8)**(-1\/9))**22 assuming z is positive.\nAnswer: z**(-473\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 11 + -5. Let y be (-10)\/(-4) - 1\/(-2). Suppose r + p = y*r. Solve i + 0*i = r*g + 1, g = -2*i - 5 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 + -1 + (-20 - -23)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -180*v - 4610. Give q(-26).\nAnswer: 70","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -17, -89, -209, -377, -593, -857, -1169?\nAnswer: -1529","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 5\/216 and -137\/956088.\nAnswer: 2868264","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-seven fifths of a meter in centimeters?\nAnswer: 540","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 369?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 211 (base 4) to base 14\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -169 divided by -12.\nAnswer: 169\/12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 5995604 and 22764.\nAnswer: 1084","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide 186228?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 divided by 5?\nAnswer: 12\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = 9190*k + 78893. Determine o(-8).\nAnswer: 5373","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 82 is divided by 23?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3\/10 in 6, -3, -4?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14578064?\nAnswer: 2, 911129","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6*9\/(-108)*16.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14228.\nAnswer: 2, 3557","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (-28)\/(-10) + (16 - (-11)\/((-154)\/168))?\nAnswer: 34\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 6372, 26025, 58780, 104637?\nAnswer: 163596","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -8 in 2, 2\/3, -8225?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 261 and 609?\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 47 = -2*w + 49, -5*t + 2*w - 17 = 0 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2450) - -4*sqrt(2450))**2.\nAnswer: 61250","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 526 minutes before 8:32 AM?\nAnswer: 11:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 10 - 2. Let s be (-6)\/a - 33\/(-12). Let l be s\/16*-2*4. What is the second smallest value in l, 0, 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12\/25 of a milligram in micrograms?\nAnswer: 480","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -132 + 188. Let h = -52.4 + j. Let a = -3.4 + h. What is the biggest value in a, -2\/5, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 276170491 divided by 10823.\nAnswer: 25517","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -315*v + 725*v - 434*v - 1058*v - 1136*v.\nAnswer: -2218*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -82*d**2. Let k(n) = -n - 1. Let u(s) = 20*s + 30. Let m(a) = 30*k(a) + u(a). Let q(i) = -7*i. Let g(v) = -5*m(v) + 7*q(v). What is x(g(y))?\nAnswer: -82*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) be the first derivative of -m**3 + 21*m**4 - 6 + 20*m**4 - 6*m**3 - 36*m**4. Find the third derivative of b(k) wrt k.\nAnswer: 120","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/2? (a) -0.12 (b) 3\/2 (c) 1156\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 158 - 128. Is r a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1954000 to the nearest 1000000.\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is -5 < 0.082?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express -8 + 0*r**4 + 0*r**4 - r**4 - 9*r**3 + 9 in the form p*r**2 + h*r**4 + q*r**3 + n + b*r and give n.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve x**5\/2 + 39*x**4\/4 + 22*x**3 + 51*x**2\/4 = 0.\nAnswer: -17, -3\/2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 44 and 176?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 10427427213 + 4?\nAnswer: 10427427217","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 10725531 to the nearest integer?\nAnswer: 3275","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -302 + 239 + 21422*t**2 + 63.\nAnswer: 21422*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*z + i = -5, z + 5*i + 288 = 287 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) be the first derivative of t**5\/20 - 3*t**2\/2 + 3*t + 2. Let k(z) be the first derivative of o(z). What is the first derivative of k(d) wrt d?\nAnswer: 3*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -61 + 118. Calculate the remainder when f is divided by 30.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 5, s: 1, r: 2, v: 6, m: 5}. What is prob of sequence rv?\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) be the second derivative of n - 15 - 2738*n**3 + 37*n**4 - 1\/5*n**5 + 101306*n**2. Factor o(p).\nAnswer: -4*(p - 37)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 284a (base 13) to base 11\nAnswer: 4400","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q - 4*o = -17, -19*q + 21*q + 5*o = -20. Sort 2, -130, q in descending order.\nAnswer: 2, q, -130","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9315 = 55*w + 290*w. Calculate the remainder when 2074 is divided by w.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 457066 and 239086?\nAnswer: 346","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -207, 1, -9, -47, -4\/3?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/l**(-1\/6))\/l*l\/(l\/(l*(l\/(l\/(l*l**(-7\/4))))\/l)*l)*(l\/(l\/(l\/(l\/(l\/((l*l**(1\/3)*l*l*l)\/l))))*l))\/l*l*l**(1\/3)\/l assuming l is positive.\nAnswer: l**(-67\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -614*l + 125.\nAnswer: -614","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-138)\/(-506)*(29\/10 - 4).\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*m - 4*x - 1081, -405*m - 1072 = -408*m - 5*x. Calculate the remainder when m is divided by 49.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i + 48 = -52. Let b be 2\/3 - (i\/6 - -1). Solve -6 = -3*s + b for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -4477, -4453, -4399, -4303, -4153, -3937, -3643?\n\"Answer: 2*b**3 + 3*b**2 + b - 4483","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-12))**(-1\/40) assuming t is positive.\nAnswer: t**(3\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (-16 + (-11 - -22) - -16) + -45?\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-160)\/(-6))\/20*(-252)\/(-16)?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 7 - 110?\nAnswer: -105","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -746, -745, -744, -743, -742?\nAnswer: -741","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 373*r + 817*r - 2 - 152*r - 121*r.\nAnswer: 917*r - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - x**3 + 0)*(-12 - 3 + 41).\nAnswer: -26*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 67893?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:37 AM and 9:30 AM?\nAnswer: 353","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 16282963 to the power of 1\/2, to the nearest integer?\nAnswer: 4035","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 464, 386, 180, -214, -856, -1806, -3124, -4870?\n\"Answer: -10*j**3 - 4*j**2 + 4*j + 474","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1047578.\nAnswer: 2, 7, 74827","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express -12*y**2 + y**2 - 7*y**2 in the form v*y**2 + h*y + n and give h.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a = d - 4, -2*a - 2 = -2*d + 18. Suppose -j + 2*c + d = -10, 61 = 3*j + 2*c. Is 7 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -47\/231 and 17\/330.\nAnswer: 2310","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 23\/8 of a litre in millilitres?\nAnswer: 2875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -49\/20 and -103\/14261688?\nAnswer: 71308440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(sqrt(85) - 3*sqrt(85)*-4)\/(2*sqrt(320))*-2.\nAnswer: 13*sqrt(17)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.665 times -12?\nAnswer: -67.98","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 7 - -2. Let a be (204\/(-9))\/((-6)\/s). What is a rounded to the nearest 10?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 + s**2 + s**2 - 4*s**2)*(-11 + 6 - 8 + (-7 + 4 + 1)*(0 + 0 - 2) + 4 - 1 - 4 + 3 - 5 + 3) in the form m*s + j*s**2 + h and give h.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 48736, 48731, 48714, 48679, 48620, 48531, 48406, 48239?\n\"Answer: -u**3 + 2*u + 48735","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -803943 * 0.3\nAnswer: -241182.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-105)\/33 - 4\/(-22). Is (-100)\/g - (-4)\/(-12) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.5? (a) -0.4 (b) -5 (c) -105 (d) 8 (e) -10\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rkrd when four letters picked without replacement from akkssrrkgdks?\nAnswer: 1\/1485","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -418, -826, -1234, -1642?\n\"Answer: -408*q - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n**5 + 30*n**4 + 320*n**3 + 480*n**2 = 0. Calculate n.\nAnswer: -4, -2, 0, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-18)\/14 - ((-5240)\/(-770) - 9)?\nAnswer: 10\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4201546 is divided by 21?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 + -1 - (2 + -9 + -6)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4553091 is divided by 217?\nAnswer: 214","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -150*t + 142 + 158 = 0. Solve 9 = 2*s + 3*o, t*s - 10 = 5*o - 25 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/(-7) + 2585\/(-329).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3564?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 27899734 to the nearest one hundred thousand.\nAnswer: 27900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 c when three letters picked without replacement from {c: 7}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.3 and -10.251156.\nAnswer: 3.0753468","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.064509 to 3 dps.\nAnswer: -0.065","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(99) - 2*sqrt(99))*6 + 1*2*sqrt(99))\/(((sqrt(81) - 2*sqrt(81))*-4 + sqrt(81) - sqrt(81))\/sqrt(9)*-2).\nAnswer: sqrt(11)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g + 5*r + 14 = 0, -2*g - 4*r = 3*g + 7. Let x(c) = -2*c**2 - 2*c + 2. Let a be x(g). Is 95 - (0 - -1)*a a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3325 - -675. Is 125 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange g + 75*g**3 + g**2 - 4 + 5 - 32*g**3 + 0*g**2 to the form a*g**2 + i*g**3 + m*g + d and give d.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: (3 - (-5206)\/(-1729))\/(9\/(-63))\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -61320000 rounded to the nearest one hundred thousand?\nAnswer: -61300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l + v + 28 = -3*v, 3*v + 7 = 4*l. Is l less than or equal to 81?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3045, 6121, 9213, 12321, 15445?\nAnswer: 18585","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 51 = 28*y - 11*y. Let k(s) = s**2 - 2*s + 2. Let u be k(2). Factor 3\/2*r**u + 0 - y*r.\nAnswer: 3*r*(r - 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + -1*(((1 + sqrt(208))*-2 + 0 - (((2*sqrt(208) + -5)**2 + sqrt(208) - sqrt(208)) + 2)) + 5).\nAnswer: -72*sqrt(13) + 852","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -124, 439, 1374, 2681, 4360, 6411, 8834?\nAnswer: 11629","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1691, 0.5, 5.\nAnswer: -1691, 0.5, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 7734\/13 equal to 596?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + (sqrt(5) - sqrt(245)) + 3)**2.\nAnswer: -48*sqrt(5) + 196","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -234604, -234635, -234686, -234757, -234848, -234959?\nAnswer: -235090","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = x**2 + 3. Let y be l(3). Let q(m) = -39*m**3 - 5*m**2 + 9*m + 4. Let h be q(y). Round h to the nearest 10000.\nAnswer: -70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1817148 and 908574?\nAnswer: 1817148","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.09 - -0.01. Let n(m) = 2*m**2 + 7*m - 4. Let v be n(1). Which is the third biggest value? (a) h (b) v (c) 2.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 219 divide 2522223?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = 6*j - 9. Determine r(2).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 12187 - 12005. What is the smallest common multiple of 16 and r?\nAnswer: 1456","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) be the first derivative of 61*o**3\/3 - 22*o - 55. Differentiate c(r) wrt r.\nAnswer: 122*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -2*z**3 - 15*z**2 - 9*z + 89. What is the units digit of h(-13)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 24054853 is divided by 1002284.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:45 PM and 8:09 PM?\nAnswer: 444","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jqhjhmdhhhmhhmjhhm. What is prob of sequence jjdq?\nAnswer: 1\/12240","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = 2*b. Let t(v) = -203*v**2. What is t(q(r))?\nAnswer: -812*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z + 5*m = -0*m + 19, 4*z = -2*m + 34. Let q(s) be the third derivative of -s**6\/120 + 7*s**5\/60 - 7*s**4\/24 + 4*s**3\/3 + 7*s**2. Calculate q(z).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = 2*s + 8. Let p be d(-3). Differentiate 68 - 12 - 13*m**p + 19*m**3 + 11*m**2 wrt m.\nAnswer: 57*m**2 - 4*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 4667535727, 4667535728, 4667535729, 4667535730?\n\"Answer: b + 4667535726","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2130 - -3055. What is the hundreds digit of q?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1686?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 23 divide 139150?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 31 - 31. Solve -k - 1 - 2 = x for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3747 (base 13) to base 15\nAnswer: 24c3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w\/w**6)\/(w**0\/w*w)*(w\/w**1*w)**(-1\/5)*(w**(-4)\/w*w\/(w\/((w**(-5)\/w)\/w)))\/(w*w**(-2\/7)\/w*w)**(-5\/7) assuming w is positive.\nAnswer: w**(-4089\/245)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is ((180\/15)\/240)\/((-5)\/10)?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 255543010?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 4322 and 4837.\nAnswer: 20905514","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1506 and 12?\nAnswer: 3012","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 800?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 69480707?\nAnswer: 69480707","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 4 - -1. Suppose -f*i = -4*z - 83 + 13, 5*z = -i - 15. Calculate the remainder when 15 is divided by i.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 6\/(-3)*(-6)\/4. Let f be (-1)\/h + (-156)\/(-252). Is 65 != f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(2299) - (sqrt(2299) + 1)*-2) + sqrt(2299))**2 + sqrt(2299).\nAnswer: 187*sqrt(19) + 36788","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -n. Let s(w) = 102343*w. Determine b(s(c)).\nAnswer: -102343*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -39*y - 12. Let r(g) = -3*g - 1. Let m(k) = -2*i(k) + 27*r(k). Suppose -4*a + 5*v = 1, 5*v = 5*a + 2 + 3. What is the units digit of m(a)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.50796 rounded to 2 decimal places?\nAnswer: 0.51","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -36415561*0.04\nAnswer: -1456622.44","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*o + 5*o - 120. Suppose r + 3 = -o. Let h = 40 + r. What are the prime factors of h?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + 7668.681688?\nAnswer: 7668.681688","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -477 (b) -10 (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -k**3 - 3*k**2 + 4*k + 10. Suppose 5 = -4*o - 11. Let n be p(o). Find the second derivative of 38*j - 32*j**2 + j - 7*j - n*j wrt j.\nAnswer: -64","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r and 1 e when two letters picked without replacement from {y: 2, e: 1, r: 2}?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 28124, 56251, 84376, 112499, 140620?\n\"Answer: -v**2 + 28130*v - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 777672 to the power of 1\/2, to the nearest integer?\nAnswer: 882","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Do -1194 and -17646 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of a**2*h**3 + 86546*a**2*h*m - 2*a*h**3*m + 11*a*h**3 + 8*a*h - 6*a*m - m wrt a.\nAnswer: 2*h**3 + 173092*h*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 4567131 and 9?\nAnswer: 4567131","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of 1188?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/2 in 2\/7, 3\/5, -8\/83, -2\/3, -3\/7?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 1769734918?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c + 6 = -0*c. Suppose -k = -3, c*k + 606 = 3*h - 0*k. Let o = -126 + h. Is o a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -25*a + 30*a - 1208 - 392. Suppose -t - 108 = -3*t. Calculate the remainder when a is divided by t.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ccw when three letters picked without replacement from cwc.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = 2. Let h(g) = -2*g + 13. Let p(f) = -14*a(f) + 2*h(f). Let i(n) = n. Calculate -6*i(b) - p(b).\nAnswer: -2*b + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -y**3 + 9*y**2 - 30*y - 6. Determine x(5).\nAnswer: -56","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*v + 9*v - 11*v.\nAnswer: -2*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 48620232 to the power of 1\/2, to the nearest integer?\nAnswer: 6973","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -3 - -6. Suppose 4*o - r - 13 = 0, 10 = o - r + p*r. What is the remainder when o is divided by 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1174793\/14385 - 6\/4795. Let s = 81 - g. Suppose 3*d - 2*d = 3. What is the closest to s in -0.4, 1\/5, d?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 3*(55\/(-3) + 18). Which is smaller: 13\/578 or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1633 + -1617. Let h be -6 + 168\/32 - (-44)\/t. Factor 0 + 1\/6*m**4 - 1\/6*m**h - 1\/3*m**3 + 1\/3*m.\nAnswer: m*(m - 2)*(m - 1)*(m + 1)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 677152097999 and -7.\nAnswer: 677152097992","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (93 - 11 - 3)*(1 - 1 + 2)*(-4*m - m + 10*m).\nAnswer: 790*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y + z = -2*z + 6, 5*z = 4*y + 9. Let v be (4\/5)\/(y\/(-5)). What is the tens digit of (-9)\/(-1) + v\/4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 125\/1176 and -103\/240?\nAnswer: 11760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 (base 7) in base 10?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*p + 5*p + 5*p**3)*(2690*p - 9 - 1367*p - 1353*p).\nAnswer: -150*p**4 - 45*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 48808?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = y - 1. Let o(x) = 15*x - 2. Determine -o(s) + 4*u(s).\nAnswer: -11*s - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 946055?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) be the first derivative of b**7\/210 + b**5\/60 - b**2\/2 + 2. Let c(h) be the second derivative of f(h). Find the third derivative of c(s) wrt s.\nAnswer: 24*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 14940 and 27390?\nAnswer: 164340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 - (-20 - 1) - (-29 + 19).\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**3)**7*(f*f**(-1\/6)*f)**(-2\/99))**(-4\/19) assuming f is positive.\nAnswer: f**(-2264\/513)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -43\/8352 and -39\/3320384.\nAnswer: 29883456","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a + 117 = 2*o, 0 = 2*a + o + o - 48. Suppose w - 1 - a = 0. Suppose 9 = 5*p + w. Sort p, 0, 4 in decreasing order.\nAnswer: 4, 0, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.166 take away 0.04?\nAnswer: 0.126","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -59*a**2 - a - 31. What is c(0)?\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.02115 - 0.006. Round y to 3 dps.\nAnswer: 0.015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-9 + 9 - 8*r**2)*(-2*r**3 + 3*r**2 - 7*r**2 + 3*r**2).\nAnswer: 16*r**5 + 8*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -m**3 - 7*m**2 + 4*m + 7. Suppose 8*o = 28 + 612. Let c be (-8)\/(o\/(-35))*-2. Calculate g(c).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*p**2 + 2*p**2 - p**2)*(-1888*p**2 - 989*p**2 - 319*p**2 - 700*p**2).\nAnswer: 3896*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -200202 + 647*o - 7262*o + 200202.\nAnswer: -6615*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*s = 4 - 28 for s.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0 - -0.1. Suppose 2*o = -6*t + 3*t - 6, 3*o - 8 = 4*t. Let l be t\/4 - (-11)\/14. Which is the nearest to -0.1? (a) m (b) l (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1176650714 rounded to four dps?\nAnswer: 0.1177","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*t + 10 = -q, -q + 0 = 2 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -3\/2, -33.8, 0.19, 156.3?\nAnswer: 0.19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) be the second derivative of -p**5\/20 + 17*p**4\/12 - 5*p**3\/2 + 12*p**2 - p. What is the tens digit of y(16)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 x when three letters picked without replacement from {x: 7, n: 12}.\nAnswer: 35\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2921 and 23.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 48\/(-36) + 10\/6. Let b = 17.2 + -6.6. Let r = b + -11. What is the nearest to 0 in 0.1, r, l?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.37 + 0.62. Let k = 0.16 - d. Let o = 0.0900001 + k. Round o to 6 dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -96.82018 rounded to two dps?\nAnswer: -96.82","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*j**2*m**3 + 3*j**2*m**2 + 5*j**2*m + j*m**3 + 2*j*m + 34*m**3 + 96 wrt m.\nAnswer: 12*j**2 + 6*j + 204","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 98 a factor of 234856934?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3*-192.\nAnswer: -576","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14803856?\nAnswer: 2, 925241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hhgggucggzdzh. Give prob of sequence ggg.\nAnswer: 5\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (1\/(-4))\/(4\/24)*-2. Let l be (-6 - 4)*(-2)\/4. Suppose 0*h - 3*h - 6 = -3*s, -h - 12 = -3*s. Solve 5*y + b*o = -18, -o = -l*y - s*o - 19 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -3 - (-2 - -3)*0. Let r be 3 - (-1 - -7)\/d. Which is the third smallest value? (a) r (b) 0.12 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) be the second derivative of 58*y**3\/3 + 10*y - 1. Let i(g) = 2*g**2. Determine l(i(o)).\nAnswer: 232*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-9*i**3 + i**3 + 2*i**3)*(-8*i + 6 - 6) to the form b*i**4 + y*i + v*i**3 + t*i**2 + z and give v.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = 2*y**2 - 5*y - 4. Let o be k(4). Let h be (-2)\/(-10) - (-26)\/(-5). Let r = h + o. What is the units digit of r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(sqrt(2) + -2 + sqrt(2) + 0))**2.\nAnswer: -128*sqrt(2) + 192","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.372 rounded to the nearest integer?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -8 + -9 + 4 + (30 - -4)?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1\/4 (b) 0 (c) 0.9 (d) 1 (e) 11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*o - 84 = -22*o. Suppose 109 + 148 = -x + o*f, -5*f - 743 = 3*x. Round x to the nearest one hundred.\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*j**2 + 19*j**2 - 8*j**2 - 4*j**2 - 7*j**3.\nAnswer: -7*j**3 - 2*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 2467.72+5801529.53\nAnswer: 5803997.25","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = w - 2. Suppose -8 = 4*l - 3*m, 9*l - 4*l + 10 = 3*m. Let h be b(l). Is h > -4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = 7*v - 12. Let m(x) = -6*x + 11. Let c(t) = -5*f(t) - 6*m(t). Calculate c(6).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -28\/3 and 28\/165.\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(-1*-2*sqrt(65))\/sqrt(5) - -3*(4*sqrt(39)\/sqrt(3) - (sqrt(26) - sqrt(52)\/sqrt(2))\/sqrt(2)))**2 + 5.\nAnswer: 2553","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -24 + 26. What is the third derivative of 28*x**2 - 6*x**w - 55*x**6 + 73*x**6 wrt x?\nAnswer: 2160*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -8*u**4 + 35024*u**2 + 838476 with respect to u.\nAnswer: -32*u**3 + 70048*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1\/12, 3\/377, -0.1, -4, -2\/5?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 37\/720 and -43\/4.\nAnswer: 720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 353.7659km in micrometers?\nAnswer: 353765900000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.838813 + 1.6.\nAnswer: 0.761187","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((3*j - 3*j - 2*j)*(4*j**2 - 2*j**2 - 3*j**2) + 4*j**3 + 2*j**3 - 5*j**3 - 2*j**3 + 0*j**3 + j**3)*(-2*j**2 + 5*j**2 + 3*j**2).\nAnswer: 12*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 23*r**5 - 44*r**2 wrt r.\nAnswer: 1380*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 250, 389, 534, 679, 818, 945, 1054, 1139?\n\"Answer: -r**3 + 9*r**2 + 119*r + 123","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-6*u + 4*u - 3*u)*(1 + 2 - 4 + (1 + 2 - 4)*(1 + 2 - 4) + 3 - 5 + 3) to the form j + g*u and give j.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (6\/4)\/(10*(-5)\/(-100)). Let t(o) be the first derivative of -5 - 3\/2*o**2 + 1\/3*o**j - 7*o. What is t(6)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*l + 4 = 53. Suppose l*t = 5*t + 30. Is t composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = 15*b - 19*b + 9*b - b**2. Suppose 11 + 7 = 4*n - q, -3*n + 20 = -4*q. Let z be v(n). Solve z*p + 0 = -20 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 31 a factor of 7161?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*v**2\/5 - 4220652*v\/5 - 3376528.\nAnswer: 2*(v - 2110330)*(v + 4)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -57*w + 54*w + 21. Calculate the greatest common factor of 4 and w.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 11 or 44?\nAnswer: 44","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) be the second derivative of a**5\/20 + 5*a**4\/4 + 23*a**3\/6 - 37*a**2\/2 + 49*a. Let x be o(-13). Solve -l - 4*l - 1 = x*i, 3*i - 9 = 3*l for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -100 (base 4) in base 13?\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -687*g*i + g*y - i*y + 7 wrt i.\nAnswer: -687*g - y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*d = -2*d + 32. Let i = d + -13. Let -4 + 6*y**2 - 1 - 4*y + i = 0. Calculate y.\nAnswer: -1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -300 and 63.\nAnswer: -237","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 130628759?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*p + 7 = p. Let m(t) = 4*t - 4. Let s(i) = -1032*i + 52. Let o(k) = -59*k + 3. Let q(d) = 35*o(d) - 2*s(d). Determine p*q(j) + 2*m(j).\nAnswer: j - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-1)\/(-3) - (-28)\/6. Solve 0 = 5*w - o*u - 10, -4*w + 5*u + 0 = -11 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 divided by 529.\nAnswer: -1\/529","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 95\/(-2)*2\/(-8) and 609\/54 - (-36)\/162.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 16116188 divided by -11?\nAnswer: -1465108","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h + 3*p - 10 = 4*p, 0 = h - 4*p - 19. Is h a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -154411432 by -2.\nAnswer: 77205716","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(1\/2))**(2\/5)*(q**(2\/3))**32 assuming q is positive.\nAnswer: q**(323\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 777.\nAnswer: 3, 7, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-3)\/(-9))\/(((-9)\/27)\/(-1))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 573609 to the power of 1\/3, to the nearest integer?\nAnswer: 83","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1 + -2 + 1 + 5. Let d(r) = -2*r + 6*r**2 + r**2 + 1 + 0*r**2. Let b(c) = -6*c**2 + 2*c - 1. What is g*b(k) + 4*d(k)?\nAnswer: -2*k**2 + 2*k - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -1015154 (base 6) to base 7\nAnswer: -263104","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -1. Let l(f) = -f - 8. Let n(h) = l(h) - 3*s(h). Let j(x) = x + 6. Let r = 5 + -9. Let w(c) = r*j(c) - 5*n(c). Calculate w(2).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = 8*u**3 + 6*u + 226. Let h(y) = 23*y**3 + 17*y + 677. Calculate -6*h(v) + 17*p(v).\nAnswer: -2*v**3 - 220","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q and 3 w when four letters picked without replacement from {q: 7, w: 8, j: 3}?\nAnswer: 98\/765","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 2.37 from -10955710804.\nAnswer: -10955710806.37","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (24\/(-5))\/2*-5?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -4*r - 2. Let o be x(-1). Solve -3*u + 5 = -a, 0*u - 2 = -o*u for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1896 - 1893. Solve 1657*j - 1656*j - u = 0 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1.749 * -0.3.\nAnswer: -0.5247","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*((sqrt(2736)*1 + (sqrt(152)*2)\/sqrt(8))**2 + -2).\nAnswer: 3722","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1.70381 - -4.1017612.\nAnswer: 2.3979512","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3*1\/27*3*-21?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -2*o - 39. Let i = 34 + -55. Let g be c(i). Find the third derivative of -18*w**3 - 34*w**2 + 23*w**3 + 26*w**g wrt w.\nAnswer: 186","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**1\/t)**(-1\/20)\/(t**(-1\/4)\/t**9) assuming t is positive.\nAnswer: t**(37\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 6 - 11?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1208\/10*165\/66.\nAnswer: 2, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*v - i = 2*v - 266, 4*v = 5*i - 196. Let a = v - -64. Suppose a*f = 8*f + 16. Solve f = -6*r + 2*r for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 0 + 1)*(-d**4 - 4 + 4) + 52*d**4 + 97*d**4 + 51*d**4 - 2*d**4 + 23*d**3 - 18*d**3 - 18*d**3.\nAnswer: 199*d**4 - 13*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Add together -15980313231284 and -30.\nAnswer: -15980313231314","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(0 + sqrt(19))**2 + 2 + sqrt(19) + 1 + sqrt(19).\nAnswer: -35 + 2*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 45943654901 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 18*u - 24*u + 18. Factor -4*m**3 + 100 - 33*m**2 - 16*m - 44*m - u*m**2.\nAnswer: -4*(m - 1)*(m + 5)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange o**4 + 14*o**3 + 28*o - 8*o - 4*o - 13*o - 4*o to j*o**4 + s*o + f + b*o**2 + a*o**3 and give s.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 4 (b) 3 (c) -4\/5 (d) -7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) be the first derivative of x**4\/4 - 7*x**3 + x**2\/2 - 18*x + 52. Let s be w(21). Let o(p) = p - 4. Let f(t) = 3. Calculate s*f(u) + 2*o(u).\nAnswer: 2*u + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 times 679?\nAnswer: 679","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p**(-1\/3)*p**(1\/4)*p\/(p\/(p*p**(-2\/15)))*p*(p*p\/p**(1\/9))\/p*p**(2\/15)\/(p*p*p\/(p*p**3*p))*(p**0)**(-2\/31) assuming p is positive.\nAnswer: p**(173\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 198926 is divided by 56.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v + 3*r = -v - 51, -r + 19 = -2*v. Let z = v - -21. What is the units digit of z?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1739*u - 847*u + 6 - 845*u.\nAnswer: 47*u + 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*t + 80 = 35*b - 0*t, 5*b = -3*t + 132 - 84 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t + 120 = b, -2*b + 187 = 4*t - 53. Suppose b = 2*z + z. Does 10 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 304035509?\nAnswer: 304035509","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.835031567 to three decimal places.\nAnswer: 0.835","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = x**2 - 10*x + 10. Suppose 3*i = -3*u + 15, 5*i = 2*u - 6*u + 18. Determine y(u).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3396259?\nAnswer: 3396259","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 325 = -100*u + 19384 + 60741. What are the prime factors of u?\nAnswer: 2, 3, 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2208*t + 2461*t - 3289 = 0 for t.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 7443860 to the nearest integer?\nAnswer: 195","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 173 is divided by (-1 - (-4)\/6)\/(18\/(-378)).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 1291*f + 55 + 943 + 293 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 6048242*l**3\/5 + 48650264*l**2\/5 + 2117512*l\/5 + 23104\/5.\nAnswer: 2*(l + 8)*(1739*l + 38)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 73\/4544 and 109\/24.\nAnswer: 13632","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -416 + 2*y + 416. Let u(g) = -23*g**2. Calculate h(u(q)).\nAnswer: -46*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) be the second derivative of g**5\/20 - 7*g**4\/3 + 13*g**3\/3 + 9*g**2\/2 + g - 189. What is r(27)?\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1203 at most -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from sdkkvesskdddkk. Give prob of picking 2 d and 1 s.\nAnswer: 9\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand -485 - 16*y**5 + 4*y**4 + 485 + (0*y**3 + 0*y**3 - y**3)*(-y**2 + 0 + 0) + y**5 - 4*y**5 + y**5.\nAnswer: -17*y**5 + 4*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 21263 is divided by 7084?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(231))\/sqrt(11) - -5*(sqrt(105)\/sqrt(5) - sqrt(21)))\/(sqrt(42)\/(sqrt(384)*-1 - sqrt(6))) + -2.\nAnswer: -18*sqrt(3) - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 2, o: 1, z: 2, v: 1, m: 1, d: 1}. What is prob of picking 2 z?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x + 2*a - 2 = 0, -2*x = x - 2*a + 2. Let i be (x + 77)\/(5 - 4). Let d = i - 14. Does 16 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -26073 * -749\nAnswer: 19528677","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = f + 9 - 2. Let r = -391 - -390. Is 8 a factor of 14 + r - (-4 - f)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 17136 + -17005. Solve -143*b = -n*b + 60 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1452 (base 9) to base 8.\nAnswer: 2114","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 19 - 16. Suppose -4*v + 36 = i - 5*i, l*i + 17 = v. Which is the closest to -2? (a) 3\/10 (b) 4\/3 (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1655 - 1648. Solve 2*t = 5*b - 23, 3*b + 12 = m*b for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -160.6131 rounded to 0 decimal places?\nAnswer: -161","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 1c1 (base 14) in base 15?\nAnswer: 195","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 309 (base 12) in base 7?\nAnswer: 1200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z\/(z\/((z\/(z**14*z))\/z)))**(17\/4))**(-2\/3) assuming z is positive.\nAnswer: z**(85\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 45\/8 of a litre?\nAnswer: 5625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 51259507.8 to the nearest one hundred thousand.\nAnswer: 51300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 68 and 578?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -1 (b) 0.08 (c) -3 (d) 9.9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 65 is divided by (-1 + 12)*(-1)\/(7\/(-14)).\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.3 + 0.65877484946.\nAnswer: 0.95877484946","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide 105 by -35.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27*h - 32*h - 30 = 0 for h.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 8 and 376114300?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 58*j - 3*q = 62*j - 23, -10 = -j - 5*q for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -70651741446 take away -24?\nAnswer: -70651741422","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*y = 24*y - 440. Is y a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 703797 a multiple of 138?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -62201841775 - -0.218\nAnswer: -62201841774.782","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1 + (0 - 1)*10\/15. Suppose 1 = 6*z - 17. Let f be z\/(-13)*(-22)\/(-33). Which is the closest to p? (a) -0.1 (b) f (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*a + 4*r = 10*a - 10, -5*a - 2*r = 14 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -24.692703845056 + -1.5.\nAnswer: -26.192703845056","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = 53*t + 9224. Give o(-135).\nAnswer: 2069","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 902 - 542. Let k(c) = -o*c**2 - 5 - 18*c - 13 + 384*c**2. Let f(u) = u**2 - u - 1. What is 18*f(b) - k(b)?\nAnswer: -6*b**2","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: Put -5, 2, 5, -3, 78 in descending order.\nAnswer: 78, 5, 2, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 24715 - 14096. What are the prime factors of c?\nAnswer: 7, 37, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 4\/12 + (-2)\/6. Suppose d = 5*o - 222 - 73. Suppose -f + o = 4*h - 37, -h + f = -19. Is h a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-5700004)\/6 - 2\/(-3). What is w rounded to the nearest 100000?\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**(-5)*z\/(z*z\/z**(2\/7)))\/(z*z**(-6)*z**(2\/15)))**(1\/4) assuming z is positive.\nAnswer: z**(-89\/420)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -24*n - 255. What is i(-61)?\nAnswer: 1209","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 939 - 941. What is the nearest to 1\/2 in 5, 1\/5, x, 8?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/4 in 170, 2\/5, -0.015?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 164875 bigger than 164874?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 53\/(-6) + 333\/37\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4103?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -229100 divided by 1450\nAnswer: -158","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express -7*b**2 + 23 + 4*b + 3*b - 23 in the form n*b**2 + d + j*b and give n.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Work out 37652022 + 719959.\nAnswer: 38371981","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = 4*p**3 - 22*p**2. Let w(d) = -7*d**3 + 44*d**2. Let o(t) = 5*n(t) + 2*w(t). Find the third derivative of o(v) wrt v.\nAnswer: 36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2? (a) -2 (b) -1.265 (c) -3\/5 (d) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -3*v**3 - 2*v**2 + 4026*v - 4031*v - 2 - 1. What is the tens digit of f(-4)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) be the first derivative of -o**3\/24 - o**2\/4 - 3*o\/8 - 2. Find z such that m(z) = 0.\nAnswer: -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*u - 6 = 15*u for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*b - 5*v + 10 = 0, -926*b - 927*b = -1852*b + 3*v - 12 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 31\/126 and -23\/1554?\nAnswer: 4662","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 6\/7 (b) -13873\/4 (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is seven halves of a microgram in nanograms?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3.94 + -181.94. Let s = z - -267. Let x = s + -88.7. Which is the closest to -0.3? (a) -5 (b) x (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -m**2 - 7*m - 9. Let u be a(-4). Suppose 4*x = u*x + 30. Does 19 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 10940, -59, -5 in decreasing order.\nAnswer: 10940, -5, -59","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 103.2925 rounded to the nearest ten?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 8169340 rounded to the nearest 10000?\nAnswer: 8170000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5 = 15182*p - 15187*p + 5*y, p = -3*y + 13 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 f when three letters picked without replacement from fffffff?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = u**2 - 25*u + 26. Let d be o(24). Suppose 16 = 2*h - d*n, -3*n - 23 = -5*h + 17. Solve 5*x - x - h = 0 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 divided by -2\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -1497*q. Let m(j) = -2*j**2 + 3*j. Give m(o(k)).\nAnswer: -4482018*k**2 - 4491*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -2\/9 (b) -4\/9 (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -684 times -12.25292?\nAnswer: 8380.99728","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3633434327 to the nearest integer?\nAnswer: 1537","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 y and 1 i when three letters picked without replacement from yiiyiyyiiiyyiyiyiy?\nAnswer: 27\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -234*q**2 - 5. Let h be u(5). Is (1 + -4)\/(15\/h) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -7\/2 >= -6\/475?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = 2*h**3 + 5*h**2 - 16*h - 12. Let o(q) = q**3 - q**2 - 3*q - 2. Let z(c) = n(c) - 3*o(c). Determine z(7).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 271074060?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -216 divided by 108?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -6 in -1\/2, -2\/11, -10.2, 3\/4?\nAnswer: -10.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 215\/(-20) - 1\/((-12)\/9). Let j be (3 - d)*(0 + 2 - 1). Solve -5*o + k + 2*k = 13, 0 = o + 2*k + j for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 21 + -13. Calculate the highest common divisor of 32 and p.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 38 - 33. Suppose -x + 27 = x - 5*c, 2*x = -i*c - 23. What is the units digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -866713.4 or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 94752*g = 95022*g + 1350 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 57 - (72 - 37) - 49\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 569765, 1139604, 1709443?\nAnswer: 2279282","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 213 + 194 = 37*i - 0. Calculate the greatest common factor of 3883 and i.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-58 + 40)*(-5)\/6. Solve 0 = 159*k - 156*k + j, -3*q - 4 = -k for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x - 12099 = -2*q, -700 = -3*x + 5*q + 35619. Is x a multiple of 49?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 543292?\nAnswer: 2, 71, 1913","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -114 = 4*n - 274. Let b = n + 55. Is 19 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1.668694 millimeters to nanometers.\nAnswer: 1668694","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-12)\/2*32\/(-64)*(-121)\/(-33).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 9582 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4619*l - 4619*l + 104*l**3 + 6 - 3*l**3 - 6 + (-4*l**2 + l**2 + l**2)*(-l + 4*l - 2*l) to f*l**3 + k*l**2 + r*l + m and give f.\nAnswer: 99","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -r**3 + 48*r**2 + 60*r - 535. Give t(49).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d + 10*d = 5*t + 5, 4*d = -t + 9. Let b = -1\/134 - 397\/670. What is the biggest value in b, 0, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 10488, 10506, 10562, 10674, 10860, 11138, 11526?\n\"Answer: 3*q**3 + q**2 - 6*q + 10490","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j + 1 = 16. Suppose y - 98 = j. Let p = y + -50. Calculate the greatest common divisor of p and 408.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-30)\/45)\/((-1)\/((-9)\/(-2)))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 26 a factor of (-520)\/(-39)*(2 - (-1)\/1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24 = 4*y - 4*n, -3*y - 257 + 243 = n for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 706 minutes after 3:25 AM?\nAnswer: 3:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 48224?\nAnswer: 2, 11, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*j = 5*b - 15, -j - 188*b + 191*b = 10 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -919 (base 10) to base 4.\nAnswer: -32113","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 302501112 - -124?\nAnswer: 302501240","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -n**3 - 4*n**2 + 4*n + 4. Give f(-5).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (u + 10*u + u)*(6 - 5 + 4).\nAnswer: 60*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -m + 3. Let n be w(0). Let b be n - 5 - (1 + 6). Let c = 51 - 59. Which is smaller: b or c?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -7 (b) -3 (c) 892\/85 (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 406 minutes after 12:40 AM?\nAnswer: 7:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 1192359 + -6?\nAnswer: 1192353","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 405076?\nAnswer: 2, 7, 17, 23, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1340 + m - 2*m**3 - 17*m**3 - 1342 + 2*m**4 to the form h*m**2 + w + l*m + u*m**3 + o*m**4 and give l.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*r - 27*r + 5*y - 5 = 0, 0 = -3*r - 3*y + 15. Suppose -2*a = 5*k - 1674, r*k - 4*a = -160 + 844. What is the tens digit of k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 8 and 128?\nAnswer: 128","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w - 34 = 14. What is the tens digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -57*p**2 + 19*p. Let j(w) = 28*w**2 - 9*w. Let u(b) = -3*d(b) - 7*j(b). Find the second derivative of u(c) wrt c.\nAnswer: -50","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 62072.\nAnswer: 2, 7759","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -2058 + 0?\nAnswer: -2058","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 100922 to the power of 1\/3, to the nearest integer?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1\/2 (b) 13 (c) 9\/4 (d) 5 (e) -59\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 83*q + 64*q - 94*q to the form j + y*q and give y.\nAnswer: 53","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 20 and 1776128.\nAnswer: 8880640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -74\/5 - -73\/5. What is the second biggest value in 0.1, -3, 2.9, k?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1\/4, -2\/7, -2, -693513?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10\/120*-9*(-896)\/24.\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*z - 74*z - 218*z.\nAnswer: -289*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -53*m**3 + 2*m**2 - 101*m - 529. What are the prime factors of v(-6)?\nAnswer: 11597","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.1 * 43.5212\nAnswer: 4.35212","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = 3*c + 2. Let s(i) = 4*i + 3. Let d(u) = -3*f(u) + 2*s(u). Let p(n) be the third derivative of -21*n**5\/10 - 5799*n**2. Give p(d(j)).\nAnswer: -126*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*x = x + 3*m - 3, 0 = -2*x + 3*m - 3 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z + 61 = -5*r, -4*z + 3*r - r = -46. List the prime factors of (0 + 2 + 1)*390\/z.\nAnswer: 2, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -6*r**2 + 6*r - 967. Let f(h) = -17*h**2 + 16*h - 2906. Calculate -3*f(b) + 8*k(b).\nAnswer: 3*b**2 + 982","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2147\/11 + 195. What is the nearest to l in -0.5, -1, 13?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 60 and 40.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.003007 rounded to three dps?\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 346984 to the power of 1\/10, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: ((-1)\/4)\/((-171)\/76)\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2057 + 2060. Solve f = s - 1, 0*s - s + 3 = -g*f for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 12961, 51854, 116679, 207436?\nAnswer: 324125","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 divided by 157492.\nAnswer: 1\/157492","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -3*o + 3. Let x be w(1). Let b be 11 + -8 - x\/(-1). Find the third derivative of 6*m**2 + 8*m**2 + 8*m**b + 10*m**3 - 17*m**2 wrt m.\nAnswer: 108","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/18*(-350)\/2*-18*(-53)\/(-1590)?\nAnswer: 35\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.129 take away 1.364?\nAnswer: -1.493","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 148 and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -12 or 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -15*k**2 + 5*k - 11. Let p(h) = -2*h**2 + 4*h**2 + 6*h**2 + 6 - 3*h. Calculate 6*g(t) + 11*p(t).\nAnswer: -2*t**2 - 3*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 9684?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-164 - 1) + 20\/((-110)\/11). Suppose -5*i = 1588 + 712. Let g = h - i. Is g a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1551*k - 86688 = -513*k for k.\nAnswer: 42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 710669 and 67?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1088) - (sqrt(1088) + 5 + sqrt(1088)*2))**2.\nAnswer: 160*sqrt(17) + 4377","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-2 + 14)*(6 - 44\/8). What is the greatest common divisor of a and 318?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -4\/3 or -4050?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -25? (a) 1\/2 (b) 2\/5 (c) 0.008 (d) -8\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) be the first derivative of 11*j**6\/6 + 2*j**3\/3 + 24*j - 81. What is the third derivative of h(p) wrt p?\nAnswer: 660*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -2393478.26 to the nearest 1000.\nAnswer: -2393000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 201084?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1086418?\nAnswer: 2, 41, 13249","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) be the second derivative of 1\/24*t**4 + 0*t**3 - t + 0 - 1\/2*t**2. Let d(c) be the first derivative of k(c). Let a(o) = o. Calculate d(a(p)).\nAnswer: p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = 13*g**2 + 2*g - 1. Let t be d(1). Suppose -4*u = -u - 180. Suppose -6*y + y = -u. Which is smaller: t or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b - 36 = -0. Let w be b*(2 - (-520)\/(-6)). Is (3\/(-6))\/(3\/w) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/937 at least as big as 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -u**3 + 2930*u - 1505*u - 1470*u.\nAnswer: -u**3 - 45*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*t + 2*t + 35. Let y(g) = 6 + 4*g**3 - 5*g + 0*g**2 + 1 - 7*g**2 + 0*g. Let s(l) = -3*l**3 + 6*l**2 + 4*l - 6. What is t*s(u) + 6*y(u)?\nAnswer: 3*u**3 - 2*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 27.3 in -0.6, -0.9, -2\/5, -1\/4, 0.02?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i + 5*i - 16 = -2*a, -2 = 2*a. Suppose 3*g - i = -0. Solve 9 = -4*o + 3*t, 3*o + 3*t - 9 = -g*o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 6 + 1)*(j**5 + 2 - 5 + 23*j**4 - 22*j**4 - 3*j**3).\nAnswer: 4*j**5 + 4*j**4 - 12*j**3 - 12","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = z**3 - 10*z**2 - 12*z + 1. Let j(i) = 5*i**3 - 41*i**2 - 49*i + 5. Let y(f) = 2*j(f) - 9*x(f). Give y(-6).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -675990 = -5367*c - 2144*c for c.\nAnswer: 90","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -28*g + 89. Let i be q(3). Suppose -5*l = -i*h - 270, l + 15*h - 54 = 12*h. What are the prime factors of l?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1410 != -1409?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -876 + 2873. What is the tens digit of x?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 11928542 and 11928540 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-135)\/4 + (7 - 243\/36). Let k = -33 - w. Which is the closest to 0? (a) -0.2 (b) 2 (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -46*q*s**2 - 31*q*s - 634*q - 4393*s**4 - s**3 - s + 2 wrt s?\nAnswer: -92*q - 52716*s**2 - 6*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 13995 and 47894.\nAnswer: 2155230","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express 4 + 2 + 5*o + 7*o**3 - 4*o + 3*o**4 - 4 in the form q*o**4 + k*o**2 + p*o + c + u*o**3 and give q.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 23609\/720 - 1207\/36. Calculate the common denominator of i and 59\/88.\nAnswer: 880","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = 7*f + 2. Let g(s) be the third derivative of s**4\/4 + 19*s**2 - 9. What is v(g(z))?\nAnswer: 42*z + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r*r\/(r*r*((r**16*r)\/r)\/r)*r)\/(r\/(r\/(r*(r\/((r**(1\/8)*r)\/r*r))\/r*r))))\/(r**(-5)*r**(-17)) assuming r is positive.\nAnswer: r**(57\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -242 - -261. Suppose 2*l - 104890000 = s*l. Round l to the nearest one hundred thousand.\nAnswer: -6200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = 32*i + 11. Let u(y) = 32*y + 13. Calculate 7*d(v) - 6*u(v).\nAnswer: 32*v - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -21332 - -21323. Put u, 1, 5 in descending order.\nAnswer: 5, 1, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-4 + (-28)\/(-4))*33\/3. Differentiate -47*h**4 - 1 - n + 3 + 156*h**4 - 18 with respect to h.\nAnswer: 436*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-6273)\/3485*-55*(-2)\/((-18)\/3)\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2921?\nAnswer: 23, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4)\/6*(-55)\/((-3630)\/2079)?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 2, w: 1, p: 2, u: 2, x: 1}. What is prob of picking 1 u, 2 h, and 1 x?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) be the second derivative of -59*t**3\/3 - 3*t - 1507. Let p(s) = 2*s**2. Calculate c(p(m)).\nAnswer: -236*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 216785?\nAnswer: 5, 191, 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 12.2 - 0. Round g to 0 dps.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5 (base 14) to base 8.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y, 1 h, and 1 m when three letters picked without replacement from dydicihm.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 58 and 18060.\nAnswer: 523740","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -2*z + 14. Suppose -44 + z = -b. What is the units digit of b?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -148 >= -2\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:23 PM and 9:33 PM?\nAnswer: 310","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -427 - 12*p + 507 - 4*p - 285 to j*p + z and give j.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c + 18 = -2*i, 3*c + 3*i = 2*c - 10. Suppose -128 = -c*g - 8. Does 19 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 164757 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y**5\/2 - 143*y**4 + 4349*y**3\/2 - 3850*y**2 - 17550*y = 0. Calculate y.\nAnswer: -2, 0, 5, 13, 270","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 449*j + 12175 - 3178 + 17045 = 0 for j.\nAnswer: -58","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 21590.\nAnswer: 2, 5, 17, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(96)\/sqrt(2) - sqrt(48)) + -6*sqrt(48))\/((sqrt(900) + sqrt(900)*1)\/sqrt(6)))**2 + 0.\nAnswer: 72\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 6115756979 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-4)\/(-8)*-6*-1. Let j(i) be the second derivative of 1\/48*i**4 - 3*i + 1\/24*i**h + 0 + 0*i**2. Let j(g) = 0. Calculate g.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 169.859 days to microseconds.\nAnswer: 14675817600000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = j**2 + 11498*j - 519449. Determine v(45).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 305552399?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2 - -5. Suppose 3*w - 12 = 0, -5*a + 2*w + 25 = 33. Solve o*c + 4 + 11 = a for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j - 19 = -3. What is the remainder when 744\/16 + 6\/j is divided by (16\/(-10))\/(4\/(-30))?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*w + 4*w - 32 = 0 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 595759?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put together 86717328233298 and 1.\nAnswer: 86717328233299","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -3*s**2 - 18*s + 27. Suppose -4*z = -v - 20, 3*z + 2*z = 2*v + 25. Let n(p) = 2*p**2 + 9*p - 14. Let i(b) = z*n(b) + 3*q(b). Is i(9) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 21.4 - 2.6. Let m = d - 18.5. Let p = -5 - -5.2. Sort 0.4, p, -9, m in increasing order.\nAnswer: -9, p, m, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -5 - 5. Sort 0, n, 5.\nAnswer: n, 0, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -h**3 - 2*h**2 + 3*h - 1. Let w be y(-3). Let r = w - -28. What is the tens digit of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 18\/4 + 3\/(-6)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 84492950 divided by 84492950?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -4 (b) -51 (c) -0.2 (d) -0.1 (e) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = v + 1. Let k be v\/20*(-4)\/2. Suppose 2*u = -0*u. Is k at least as big as u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) be the third derivative of -s**5\/140 - 5*s**4\/56 + s**3 + 15*s**2 - 2*s. Factor f(g).\nAnswer: -3*(g - 2)*(g + 7)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -5376 and -765?\nAnswer: 4112640","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -7311, -7291, -7279, -7281, -7303, -7351?\nAnswer: -7431","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -2*x - 7. Let o be w(-4). Solve -5*i = 3*c + 3, -c + 4*i + 0 = o for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 33132, 132573, 298304, 530319, 828612?\n\"Answer: -x**3 + 33151*x**2 - 5*x - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = 2*h**4 + 3*h**3 - h**2 + 3*h. Let x(o) = 6*o**4 + 10*o**3 - 4*o**2 + 10*o. Let i(r) = -20*m(r) + 6*x(r). Find the third derivative of i(k) wrt k.\nAnswer: -96*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 105 by -15.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*h = 4927 + 1625. Does 9 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 25*x + 45*x - 63*x - 3.\nAnswer: 7*x - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -8*g**2 - 204*g - 59. Calculate a(-24).\nAnswer: 229","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 7 + (-2 - 2) - (10 + -6) - 11\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j + 5*y - 140 = 0, j = 2*j - 4*y - 13. Let i be 19\/5*j\/5. Let z = 19 - i. Solve z = 2*g - 0*g + 2 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -g + g - g**4 + (-5*g**3 + 20*g**3 - g**3)*(20 - 20 + g).\nAnswer: 13*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-38)\/24 + 46\/(-276) + 13\/6188*917.\nAnswer: 3\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 0.039 - -10.6\nAnswer: 10.639","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.01, 1.8, -2\/3, 1, -1?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 + 3\/2*g**2 + 42*g.\nAnswer: 3*g*(g + 28)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -85d0 (base 15) in base 8?\nAnswer: -67240","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 1296, 1298, 1302, 1308?\n\"Answer: h**2 - h + 1296","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 147 + -148 - (8 - (-6 - (-3 + -7 + 8))).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/2, -10, -0.06, -1, 89\/27 in ascending order.\nAnswer: -10, -1, -1\/2, -0.06, 89\/27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -1118089*b**3*x + 14*b**3 + b*x + 167220454*x wrt b?\nAnswer: -3354267*b**2*x + 42*b**2 + x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x = -n + 4, 3*n + x + 12 - 3 = 0. Let f(j) = 920*j**2 - j + 1. Is f(n) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -3*w**3 - 4*w**2 - 2*w + 2. Let t be j(-2). Let o = 56 - t. Let b(g) = -g**3 - 5*g**2 + 3*g - 6. Calculate the remainder when o is divided by b(-6).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 - (7 - 4)) + 60 - (-36 + 48).\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-32*w**2 - 8*w**2 - 13*w**2)*(15*w - 28*w - 39*w) to the form p*w**3 + q*w + c + x*w**2 and give p.\nAnswer: 2756","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 85 = 41*v + 3. Solve 3*w = 4*i, -2*i - 20 = v*i + 2*w for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 61 (base 13) to base 12.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -9\/92, -161.1, 0 in decreasing order.\nAnswer: 0, -9\/92, -161.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 2794 a multiple of 127?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 47\/156 and (558\/90)\/((-7)\/(140\/832))?\nAnswer: 624","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -31.1 - -34.78. Let u = x + -3.783. What is u rounded to 1 dp?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -142.43947 to one dp.\nAnswer: -142.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) be the first derivative of -o**2\/2 - 9*o - 6. Let q be n(-11). Suppose 2*u + q*u - 2*l = 328, 2*u + l - 164 = 0. Is u a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 493189872 times 0.4?\nAnswer: 197275948.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 31 + -11. Does 10 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 469 + -475. Calculate the remainder when (-945)\/(-6)*f\/(-5) is divided by 24.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -5.3 - -5. Let h = 40\/13 + -306\/91. What is the nearest to 0.2 in -1\/3, h, r?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1471?\nAnswer: 1471","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -39*-0.04.\nAnswer: 1.56","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b = 4*j - b - 42490, 3*j - 31871 = b. Let t = 17144 - j. Is t a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 15529112, 15529111, 15529110, 15529109, 15529108?\n\"Answer: -d + 15529113","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 55\/2*1580\/(-1975).\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express -482*s + 905*s - 3*s**2 - 10*s**2 - 11*s**2 - 497*s in the form g*s**2 + q*s + u and give q.\nAnswer: -74","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*r**2 - 5*r**2 + 18*r**2 - 4*r**2.\nAnswer: 16*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5536811*c + 5*j - 41 = 5536815*c, -30 = 5*c - 2*j for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve q - 3*d = -13, -1219*d + 11 = -5*q - 1222*d for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 19972568 - -3028679. Let q = a - 23001163.000045. Let v = q + -84. Round v to 5 decimal places.\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -206535 or -206509?\nAnswer: -206509","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 23404?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 411 is divided by 42?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 106838269 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -314 - 53500051?\nAnswer: -53500365","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 4408900 rounded to the nearest one million?\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) be the third derivative of 15*w**8\/112 - 31*w**7\/14 - 77*w**6\/24 + 39*w**5\/4 + 10*w**4 - 110*w**3\/3 + 169*w**2 - 2. Solve g(v) = 0.\nAnswer: -1, 2\/3, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = t + 18. Let c(o) = 2*o**3 + 46*o**2 + 24*o + 15. Let g be c(t). Let w = 988 + g. Is w composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 32 + -27. Suppose 12 = -o + 3*s, o + 3*o - 16 = -4*s. Solve o = -b*l + l - 20 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1\/2 (b) 0.01 (c) -3 (d) -2 (e) -6.4 (f) -0.04 (g) -2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mmyuuo. Give prob of picking 1 y, 1 u, and 2 m.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2880\/(-1584)*((-28)\/(-8))\/7.\nAnswer: -10\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1.5 + -0.8. Let y = -7.3 - d. Let k = -7 - y. What is the nearest to -0.3 in k, -0.3, -1?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.2? (a) -4\/27 (b) -1\/4 (c) 19 (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l - 5*s + 22 = 0, -s + 3*s - 4 = 0. Suppose -4*v + 6*a = 4*a - 5754, 4*v + 2*a = 5766. Suppose 4*i + l*i = v. List the prime factors of i.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -g**2\/2 - 1365581*g\/2 - 682790.\nAnswer: -(g + 1)*(g + 1365580)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i + 1 = -3*a, -i + 2*i + 4*a - 8 = 0. Factor 4*u**2 + 2*u**5 - u**i - 3*u**4 + 10*u - 12*u.\nAnswer: 2*u*(u - 1)**3*(u + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -3, -1.9, -1\/31, -1.7, -24, -10?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -2.4, 6, -5, 4 in increasing order.\nAnswer: -5, -4, -2.4, 4, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 365*w - 369*w = 24 for w.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert c (base 13) to base 7.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v - 18 = -5*v. Let m(j) = -j**2 + 21*j + 25. Let n be m(22). Let b be (0 - -12)*-4*n\/(-8). Calculate the greatest common factor of v and b.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 345 minutes before 10:16 PM?\nAnswer: 4:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 5.1 - 0.1. Let q = -1729 + 1729. What is the closest to q in p, -2\/11, 2?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 10 + -131301301?\nAnswer: -131301231","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 209123 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 112112220 + 2111?\nAnswer: 112122101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = s. Let f = 79 - 77. Suppose 4*h = -f - 6, -w - 14 = 5*h. Let b(q) = -q. Determine w*b(x) - y(x).\nAnswer: 3*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.126317073 to two dps.\nAnswer: 0.13","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*z + 2*z + 2*z)*(z - 40*z**2 - 195579 + 195579).\nAnswer: -80*z**3 + 2*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -5157 + 9707. What is the units digit of g?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000685511765 to seven decimal places.\nAnswer: -0.0000069","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.01616 and 1032592.\nAnswer: 1032591.98384","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -x - 20 = -6*x for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -116257\/3 or -38753?\nAnswer: -38753","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ceiwweiivwh. What is prob of sequence vw?\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3751 is divided by 2794?\nAnswer: 957","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = c**2. Let o(y) = -101*y. Let v(w) = -2*w. Let z(n) = -o(n) + 101*v(n). Calculate z(l(p)).\nAnswer: -101*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z*(z*z**(1\/3)*z*z)\/z*z*z*z**(-2\/3)*(z*z**4\/z*z*z)\/(z*z**(1\/2)\/z))**(-12) assuming z is positive.\nAnswer: z**(-122)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.005954674811 rounded to 3 decimal places?\nAnswer: -0.006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (1\/3)\/(229\/8244)\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 11 + (-7 - -1) + -7 + (16 - 3).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 minus 278360?\nAnswer: -278361","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -9*j**2 - j - 4 - 15*j**2 - 12*j**2 + 1 + 38*j**2. Let y(k) = 5*k**2 - 3*k - 9. Give 8*m(n) - 3*y(n).\nAnswer: n**2 + n + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1 and 792.\nAnswer: 792","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put 19.517, -5, -77, 1\/6 in increasing order.\nAnswer: -77, -5, 1\/6, 19.517","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-24)\/(-25)*(32376\/4047)\/((-48)\/10)?\nAnswer: -8\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vus when three letters picked without replacement from {u: 1, j: 2, y: 1, v: 2, s: 2}?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -11 (base 4) to base 11\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-s**2 + 6*s**2 - 3*s**2)*(s + 3*s - 2*s) + (-2 + 2 - 6)*(-25*s**3 - 6*s - s + 5*s).\nAnswer: 154*s**3 + 12*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 - 2 - 9 - 6)*(-2*a - 38 + 22*a + 40) to the form t*a + m and give t.\nAnswer: -400","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/21, 4, 1 in increasing order.\nAnswer: 2\/21, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 10736 to the power of 1\/6, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.107 and -4221?\nAnswer: 451.647","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let -595*x**5 + 800*x**4 + 9305*x**3 + 8630*x**2 - 3940*x + 200 = 0. What is x?\nAnswer: -2, 1\/17, 2\/7, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -6386935807 + 4.2\nAnswer: -6386935802.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 77 + -9?\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*z**2 - 3*z**2 + 3*z**2 + (-z**2 - 2*z**2 + 2*z**2)*(168 - 1 - 380).\nAnswer: 215*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express (4 - 4 - 15)*(-q + q**3 + q) + (-5 + q**2 + 5)*(7*q - 2*q - 4*q) + 3*q**3 + q**3 - 3*q**3 in the form f*q + y*q**2 + o*q**3 + s and give o.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*k + 15 = 8. Let d be (-2)\/((-6)\/(-3717)) - k. Round d to the nearest one hundred.\nAnswer: -1200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18 = 5*w - 5*r - 2, -r = 3 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) be the first derivative of 7*r**3\/3 + r**2 + 6*r - 3. Is v(5) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -3*r. Let h(v) be the first derivative of -v**2 - 4. What is h(g(p))?\nAnswer: 6*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -i**2 - 4*i + 4. What is y(-5)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -63.7 plus 256?\nAnswer: 192.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = 805*x + 2174. Let q(u) = 5641*u + 15219. Let z(r) = -15*c(r) + 2*q(r). Find the first derivative of z(k) wrt k.\nAnswer: -793","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is ba - 29b7?\nAnswer: -28b9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -4 + 2 + 0 + 5. Suppose 2*g - z*g + 34 = 0. What are the prime factors of g?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/(62\/((-775)\/25))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-1)\/(142\/(-44) - -3). Let d = z + -4. Suppose 2 = -5*i + r - 4, 0 = 3*i - 5*r + 8. What is the smallest value in i, 2, d?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 254\/1397 - (-95 - -83 - (-1135)\/11)\nAnswer: -91","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 16132021.\nAnswer: 251, 64271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/7? (a) -4 (b) -0.2 (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00026265005 to 5 dps.\nAnswer: 0.00026","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 506, 966, 1402, 1802, 2154, 2446, 2666?\nAnswer: 2802","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l - 14 = 4*o, -5*l + 0*o = o + 12. Let t(m) = -m - 2. Let y be t(l). Factor 2\/11*c**2 + y + 2\/11*c.\nAnswer: 2*c*(c + 1)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t*t\/(t\/(t\/t**(-2\/7))))**36*t\/(t**1\/t)*t\/(t\/(t*t**(-1\/6))))\/((t\/(t\/t**(-2\/3)))\/(t**(-3\/2)\/t))**9 assuming t is positive.\nAnswer: t**(1420\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 33, 73, 87, 45, -83, -327, -717, -1283?\nAnswer: -2055","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 110 minutes before 5:31 AM?\nAnswer: 3:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 84 (base 11) to base 6.\nAnswer: 232","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f + 966 = -i, 0 = 5*i - 31*f + 32*f + 4710. Is -940 not equal to i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 64.2897 milligrams in nanograms?\nAnswer: 64289700","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 7563587, 15127173, 22690759, 30254345, 37817931, 45381517?\nAnswer: 52945103","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 13153901 to the power of 1\/9, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 361643204 divided by 13909354\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 49\/977748 and -7\/16.\nAnswer: 3910992","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 391432, 391420, 391408, 391396?\nAnswer: 391384","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -335560360 or -335560358?\nAnswer: -335560358","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 278261 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 307 - -147. Let b(f) = -454*f - 23*f**2 - 33*f**2 + t*f. Let p(n) = -2*n**2. Calculate b(p(u)).\nAnswer: -224*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -s**3 - s**2 - 2. Let l be c(0). What is the biggest value in 0, l, -4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is p in p**5\/4 - 2017*p**4\/4 + 6523*p**3 - 20049*p**2 + 18036*p = 0?\nAnswer: 0, 2, 9, 2004","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -c + 19. Let b be h(8). Let p be (-15)\/1*(b - 10). List the prime factors of (-5)\/p + 258\/9.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.03*-1.635\nAnswer: -0.04905","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 39500.67 decades to years.\nAnswer: 395006.7","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) be the first derivative of -22*f**5 - 106*f**3\/3 + 32. What is the third derivative of r(u) wrt u?\nAnswer: -2640*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = a - 3. Let b(s) = 1. Suppose 0 = j + 1 - 2. Let k be 2 - (-5 - -2) - -9. Suppose 2*m - 5*q = 4*m + k, -q = 4. Determine j*n(t) + m*b(t).\nAnswer: t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -48491617, -48491611, -48491601, -48491587?\nAnswer: -48491569","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j\/(j**(-1\/4)\/j))\/j*j*j*j**0*j**4*j*j**3)**(-45) assuming j is positive.\nAnswer: j**(-2025\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -4*d**3 - d**2 + 6*d - 6. Let b = -2377 + 2382. Let c(s) = 3*s**3 + 2*s**2 - 5*s + 5. Determine b*i(l) + 6*c(l).\nAnswer: -2*l**3 + 7*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l = -13*l + 56. Solve 11*d - 3*s - 24 = l*d, 5*s + 20 = 0 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 3, p: 2, u: 5, v: 4, g: 5}. Give prob of picking 1 u, 1 i, and 2 g.\nAnswer: 25\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -t**3 + 7*t**2 - 4*t - 5. Let d be 12*((-9)\/(-3))\/6. Is q(d) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.078 + 6.622. Let s = -7 + b. Is s not equal to 0.2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve h + 3*f - 2*f = 0, 0 = h - 3*f + 20 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 516 - 2631\/5. Calculate the common denominator of ((-15)\/(-100))\/(6\/28) and d.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(-3 + (sqrt(65)*-3*1)\/((sqrt(15) + -1*sqrt(15) - sqrt(15))\/sqrt(3) - sqrt(5)) + -4)**2 + 5.\nAnswer: -293\/4 + 21*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.07 - 0.03. Let l = 10709\/59081 - -3\/5371. What is the nearest to -1 in -0.2, 0.3, l, a?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(49)\/sqrt(7))**2 + (-2*(-1 + sqrt(7)))**2.\nAnswer: -8*sqrt(7) + 39","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2 (b) -3.7 (c) -3\/4 (d) -5 (e) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2209 + 8*x**2 + 107 - 8*x**2 + 431 - 2*x**3.\nAnswer: -2*x**3 + 2747","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d - 50 = -l, -50 = -l + d - 9. Let j = 43 - l. Let a be j - (-1 + (-8 - -4)). Solve -a = -i + 3*r, -3 + 8 = -5*r for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 53\/2208 and -75\/64?\nAnswer: 4416","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h and 1 o when two letters picked without replacement from ooh.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 28 a factor of 1446?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5513\/(-270137) - (-114)\/784.\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -30.99993 + 31. Round s to four dps.\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -11, -5, 2, 13, 260 in descending order.\nAnswer: 260, 13, 2, -5, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 3321415?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 56.8118 days?\nAnswer: 4908539520000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1168.3 + -1176.3. Let d = -0.2 + 0.3. Which is the nearest to d? (a) 0.5 (b) y (c) -5\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-14)\/(-77))\/((-60)\/(-55)).\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*y**2 + 232*y - 3036.\nAnswer: 4*(y - 11)*(y + 69)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(2\/3))**(-48)\/(z**(-2\/5))**(6\/25) assuming z is positive.\nAnswer: z**(-3988\/125)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3591790, -3591789, -3591788, -3591787?\nAnswer: -3591786","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*c**3 - 4*c**3 + 3*c**3)*(2*c + 2 - 2) - 4*c**4 - 2*c**4 + 3*c**4 + 2*c**4 - c**4 - 3*c**4.\nAnswer: -3*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 3, 5, -16, -8\/5, -1?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -267*b - 1. Let i be k(-5). Suppose i - 194 = 4*y. Suppose y = 4*w + w. List the prime factors of w.\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -99412262*z + 99412398*z = 6120 for z.\nAnswer: 45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 13645965 by -2729193.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*c - 45 - 11 = 0 for c.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 + r**2)*(-3*r**2 - 2 + 2) + 0*r + 0*r + 2*r**4 + (3*r**3 + 0*r**3 - 2*r**3)*(3 - 2*r - 3) + 0*r**4 - 2*r**4 + 0*r**4 + 355*r**4 - 3815*r + 3815*r.\nAnswer: 350*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -0.292377 times 0.4\nAnswer: -0.1169508","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*f**4 - 2*f**4 + f**4 + (-9*f**2 - 2*f**4 + 9*f**2)*(1 + 1 + 0) + 3*f**2 + f**4 - 3*f**2 as v*f**2 + i*f**4 + z*f**3 + q*f + u and give i.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 b when two letters picked without replacement from {b: 2, y: 6}?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 97 is divided by 95?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4\/15*-3)\/(1\/5)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -2*b**3 - 1130*b**2 - 7859*b - 26247. Determine z(-558).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 66?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (45\/108)\/(3\/9).\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -19104 - -32689. Is 95 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -445.9 + 446. Let h(c) = -33*c**3 - c**2 - 2*c - 1. Let y be 4\/5 - 63\/35. Let t be h(y). Which is bigger: t or z?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 25024.01 rounded to the nearest one hundred?\nAnswer: 25000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 3d (base 15) to base 11\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 34 - 31. Let i be -2*3*-1 + 0. Suppose -a + i = 2*a. What is the lowest common multiple of j and a?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3024.408*-3\nAnswer: -9073.224","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-366)\/(-9)*3\/2 is divided by 16.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*o = 2*o + 3564. Let v = o - 8006\/9. What is the common denominator of (-699)\/(-108) - (-1)\/(-4) and v?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = 3*g**3 - 56*g**2 - 19*g - 2. Determine m(19).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 8 and 74?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 8, f: 3}. Give prob of sequence ff.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-4)\/6 + (-92)\/6. Suppose 0 = q - 113 + 112. Is 12 a factor of q - 4\/(h\/92)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*o + 0*o + 0*o + 4*o - 4*o - o - o + o - 2*o + (-1 + 2 - 2)*(o + 0 + 0) + 0 - o + 0 + 0 + o + 0 + (-2*o - 2*o + 6*o)*(3 - 1 + 0) - 4*o + 0*o + o.\nAnswer: -5*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -4, -165, 0.1?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = 2*v**4 + 6*v**3 + 6*v**2 + 2*v + 6. Let q(y) = -1. Let a(j) = 3. Let h(n) = a(n) + 4*q(n). Let l(s) = -g(s) - 6*h(s). Let l(z) = 0. What is z?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*x**3 + 0*x**3 - 2*x**3 - 2*x**3 - x**3 + 2*x**3 + (-2*x + 4*x - x)*(0*x**2 + 0*x**2 - 2*x**2) + 519*x**2 - 519*x**2 - 10*x**3.\nAnswer: -15*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 plus -0.037719?\nAnswer: -10.037719","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 19 - 23 - -28 - 38.\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:56 PM and 8:58 PM?\nAnswer: 482","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 - ((-5 + 5 - (34 + -34)) + -10).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u + 13 = -2*u. Let j = u - 9. Suppose -y + 3*z = 7, -z + 65 = 5*y + j*z. List the prime factors of y.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 471380308.\nAnswer: 2, 7, 23, 731957","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = 2*q - 14. Let p be f(11). Let b = p - 4. Suppose -h = -b*l - 43, 4*l = 3*h - l - 122. Is 13 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = 20*c**2 - 5726*c - 35061. Give b(-6).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 smaller than -2472?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = 4*i**2 - 6*i**2 + 3*i**2 + 0*i**2. Let m(d) = -8*d**2. What is x(m(v))?\nAnswer: 64*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 49539078 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: Is 51565 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21*l + 5595 = 5028 for l.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 72387293879 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 3\/50 of a microgram?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:19 AM and 10:09 PM?\nAnswer: 710","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Product of -6.6835 and 2.\nAnswer: -13.367","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -303 - -313. Suppose -4*s + 12 = 5*m, -b*m + 12*m = -5*s + 15. Solve -s*g - g + 16 = 0 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -9643*w**4 - 3493*w**3 - 1708244*w**2 - 6*w + 5.\nAnswer: -231432*w - 20958","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 2868858347 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 295764?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = 6*o**2 - o + 5. Let n be 2\/(-7) - (-162)\/(-21). Is m(n) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3\/22 - 23\/154. Which is the biggest value? (a) l (b) -302 (c) -2\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = v**3 - 8*v**2 + 2*v - 5. What is l(7)?\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -4*w**2. Let b(d) be the third derivative of d**8\/3360 + d**5\/4 - 8*d**2. Let r(x) be the third derivative of b(x). Determine k(r(l)).\nAnswer: -144*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 0.3, 5, 2\/21, -2\/5, 4\/7, -132?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -v - 8. Let u be x(-11). Solve u*t = 2*t + 2 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.1, -1, 8, -0.3 in increasing order.\nAnswer: -1, -0.3, -0.1, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -12.98315 to one decimal place.\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 53815410 and 44.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Work out 5 + -10058075382783.\nAnswer: -10058075382778","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*d = -291 - 101. Let u = -90 + d. What is the remainder when 1*(-2)\/2 - u - 3 is divided by 12?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 252732299 is divided by 932.\nAnswer: 927","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 10*36*(-2)\/(-5). Let s = b - 93. Is s a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 48731 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 1203 a factor of 55021897?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jjj when three letters picked without replacement from {j: 6}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 228\/(-9)*6\/(-4). Suppose 0 = -2*v + v + 57. Calculate the greatest common divisor of a and v.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -2\/9 (b) -2\/7 (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 160186 - -0.3\nAnswer: 160186.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -6101.57468 rounded to the nearest 1000?\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.09 - 30.76.\nAnswer: -30.67","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-80)\/24)\/(-10)*(-6)\/(-5)?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out 392.22 * -2106.\nAnswer: -826015.32","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*q - 56*q = -66*q + 155*q - 7956 for q.\nAnswer: 51","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 123201 (base 4) to base 12.\nAnswer: 1029","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -h + 4. Let x be b(4). Suppose 0*l + 4*l - 32 = x. Does 4 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 4969088176 to the nearest integer?\nAnswer: 1706","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 89, 342, 771, 1382, 2181?\n\"Answer: m**3 + 82*m**2 + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 6897198 and 924?\nAnswer: 462","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 1136?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((w**(-9)*w*w*w*w\/w**(3\/4))\/((w*((w*w**(4\/5))\/w*w)\/w)\/(w\/w**(-7)*w)))**(-38\/5))**(-49) assuming w is positive.\nAnswer: w**(26999\/50)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a - 11 = -3. Let i(c) be the first derivative of a + 0*c**2 + 0*c**4 + 0*c - 1\/3*c**6 + 0*c**5 - 4\/3*c**3. What is the third derivative of i(s) wrt s?\nAnswer: -120*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 8557884 divided by -713157\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) be the first derivative of 3*w**2\/2 - 7*w + 3. Does 7 divide i(7)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4263047 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -47\/2 and 19\/368?\nAnswer: 368","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 334*u**2 + 105 - 105 - 289*u**2.\nAnswer: 45*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3c276 (base 13) to base 6.\nAnswer: 2224430","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 225 is divided by 101?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = 225*n**2. Let h(q) = -31390 + 31390 - 2*q**2. Give h(g(m)).\nAnswer: -101250*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3537709 and 83?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 2, l: 2, w: 2, g: 4, q: 4}. Give prob of picking 1 l and 2 q.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2487.\nAnswer: 3, 829","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*x + 8 = -4. Calculate the greatest common divisor of x and 10.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.9? (a) -2 (b) -1 (c) 94\/3 (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -1a413a - -3?\nAnswer: -1a4137","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = x**2 + 13*x - 374. Let z be n(-27). Solve -12 = z*b - b, -4*b - 16 = 4*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2 (base 8) to base 11.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -2842*q - 8. What is j(0)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3127873662?\nAnswer: 2, 3, 37, 4696507","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -46 - -48. Let h(x) = -2*x**d + x**2 - 31*x + 31*x. Let u(v) = 9*v. Determine h(u(r)).\nAnswer: -81*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 7*t**4*u + 150*t**3 - 4*t**2 + 745*t*u - u + 2 wrt t.\nAnswer: 84*t**2*u + 900*t - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -61 - -64. Suppose -n*f + 136 + 164 = 0. What is the highest common divisor of f and 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -r**2 + 12*r - 7. Let h be w(11). Suppose 0 = c - 1, -h*q - c = -128 - 401. Does 33 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k = -6 - 5. Suppose -a + 10 = 3*z - 0*a, -5*z + 4*a + k = 0. Suppose -27 = -0*u - z*u. What are the prime factors of u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = 6*k**2 + 102*k + 97. List the prime factors of a(-23).\nAnswer: 5, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 9*r**2 + 3299 + 3319 + r**3 - 6619 - 87*r**4 to g*r**4 + a*r**2 + z*r**3 + h*r + m and give a.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 59 a factor of 26417?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 4*a**4 - 13*a + 17*a - 9*a**4 - 12*a**4 wrt a?\nAnswer: -204*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 661, -2\/13, 0.02937 in decreasing order.\nAnswer: 661, 0.02937, -2\/13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -6.04 + 0.04. Let b = -5.5 - w. Put 1\/10, -0.2, b in increasing order.\nAnswer: -0.2, 1\/10, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2178?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.053885936 - -2.646119164. Let t = n - 2.7. What is t rounded to six dps?\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 341626781 a multiple of 1049?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-164)\/(-20))\/(20\/100). Suppose -4*y - 362 = -2*f, z*y + 85 = 40*y - 5*f. Round y to the nearest one hundred.\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9775?\nAnswer: 5, 17, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 12985 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 633 (base 14) to base 5\nAnswer: 14341","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = o - 1. Let g(a) = -6*a + 4. Let c(n) = -22*d(n) - 4*g(n). Differentiate c(j) with respect to j.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c, 1 p, and 2 w when four letters picked without replacement from iwiwpicif?\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21*p + 9*p - 31*p - 18 = 0 for p.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6177 is divided by 138.\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1177, -1175, -1173?\nAnswer: -1171","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8 + 15 + (-35 - -12) - -59?\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 512 and 5?\nAnswer: 2560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.1638025 to four dps.\nAnswer: 0.1638","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4*sqrt(432)*5)**2 + 3 + ((sqrt(432) - sqrt(432)*-3) + sqrt(432))**2)*1*-5.\nAnswer: -918015","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (12\/(-18))\/(1\/(-12)). Let f be 2\/o*10*4. Suppose 4*y = -y + f. Solve 2*m + 2*r = -y - 0, 0 = -4*r + 16 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = q**3 + 3*q**2 - 16*q + 5. Determine k(-9).\nAnswer: -337","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8773?\nAnswer: 31, 283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yld when three letters picked without replacement from lcbyllcldlc?\nAnswer: 1\/198","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put -198, -8, 11, -5, 2 in descending order.\nAnswer: 11, 2, -5, -8, -198","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 24344421 + -10?\nAnswer: 24344411","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -6179 + 9575. What is the hundreds digit of r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 70066?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -114 - -138. Suppose 4*j - 8 = -3*v + 3, 0 = 4*v - 4*j - h. Suppose -2 = 2*s + 8. Sort 17, 3, v, s in decreasing order.\nAnswer: 17, v, 3, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = 2*j - 26. Let d be t(15). Suppose d*y - 10 - 10 = -x, -32 = -3*y - 5*x. What are the prime factors of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1021001 - 1?\nAnswer: -1021002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-26)\/(-30) + 8\/60. What is the nearest to 3 in 0.18, -3\/5, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = z - 15 + 5. Suppose 2*o + 1 = -5*s + 11, z = -3*s + 2*o. Differentiate -4*a + 1 + s - 3*a + a with respect to a.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 526*f*k*o**3 - 5331*f*o**3 + 3*f + 55*k**2*o**2 wrt k?\nAnswer: 526*f*o**3 + 110*k*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 664 minutes before 5:42 PM?\nAnswer: 6:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1458 and 33?\nAnswer: 16038","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1280\/30)\/(-8)*28\/(-96).\nAnswer: 14\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 33\/7 - 0 - (-138)\/483. Let a(i) = -5*i + 5. Let c(p) = 4*p - 3. Let q(b) = u*a(b) + 6*c(b). Calculate q(-6).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 1096, 2682, 4730, 7210, 10092, 13346?\n\"Answer: -5*a**3 + 261*a**2 + 838*a + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 449, 874, 1311, 1766, 2245?\nAnswer: 2754","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 481 minutes after 7:17 AM?\nAnswer: 3:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.7675897 rounded to one dp?\nAnswer: 4.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*a = -2*w + a, 2*a = 3*w. Solve w*m + 20 = -5*m for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) be the first derivative of 116*k**5\/5 - 44*k**3 - 2*k**2 + 1032. Find the third derivative of x(a) wrt a.\nAnswer: 2784*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 551 - 18. Is r prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8584144549 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 6832 to the power of 1\/8, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g + 11 = -l + 27, 24 = 4*g - 2*l. Let k(q) = 7*q + 11. Let u(c) = 8*c + 11. Let t(a) = g*k(a) - 6*u(a). Determine t(-9).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 30784*y**3 - 22473*y**3 + 171023*y**3.\nAnswer: 179334*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 25\/4 of a meter in centimeters?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 50920319 by 50920319.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -i**3 + 4 + i**3 - 6*i - 2*i**2 + i**3 + 7*i**2. Determine l(-6).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 65268 = 3*y + 5*g, 2*y - 30*g = -25*g + 43487. Is y prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = a**3 + 14*a**2 - 4. Let m be w(-14). Let o be 0 + 9\/12 - 33\/m. What is the greatest common factor of 63 and o?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 142 minutes before 1:47 PM?\nAnswer: 11:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 43474, -3\/4, 5 in increasing order.\nAnswer: -3\/4, 5, 43474","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 885 and 4720.\nAnswer: 295","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -3054710c + 0?\nAnswer: -3054710c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 490 (base 14) in base 12?\nAnswer: 63a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -2*v + 4*q, 3*v + 4*q + 1 = 9. Suppose -v*b = 4*z + 12, 0*b = b. Let d(a) = 6*a**2 + 3*a - 1. Is d(z) a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**(-6\/11)*n*n**(-1\/3))\/(n**(2\/5))**(-30\/7))\/(n**7*n*n*n*n\/((n*n**(2\/13)*n)\/n)*n*n*n**4*n*n*n**(-5)) assuming n is positive.\nAnswer: n**(-33065\/3003)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 42 - 28 - (53 - 43).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/(-9))\/((-11)\/(-43560)*88).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1128765, -2257522, -3386275, -4515024, -5643769, -6772510, -7901247?\nAnswer: -9029980","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x + 3 = 3*h - 0, -3*h - 3 = x. Sort h, 4, -7.\nAnswer: -7, h, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 447\/(-33) + (-3 - (-39)\/33*3)?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -3*r**2 + 12*r - 7. Let c(n) = -1. Let w = -202 - -203. Let f(v) = w*j(v) + 2*c(v). Factor f(s).\nAnswer: -3*(s - 3)*(s - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -2*p**3 - 321*p**2 - 174*p - 2214. Calculate m(-160).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*l + p = -5, -5*p + 10 = -5*l + 35 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -51262, -51264, -51266, -51268?\nAnswer: -51270","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 3801*b + 3107*b - 662*b - 766*b + 1066*b in the form z + j*b and give z.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -s + 1. Let m be w(-2). Let q = m - 1. Let d = 1504.4 - 1509.4. Which is the second smallest value? (a) q (b) d (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 26\/359 (b) -0.35 (c) 1\/8 (d) 3\/2 (e) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 582957 to the nearest integer?\nAnswer: 84","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 70690 is divided by 10064?\nAnswer: 242","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 4, 22, 8.3, -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -67119 + 20435 = -1061*j for j.\nAnswer: 44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 303 - 177. Suppose 0 = -0*t - 2*t - a + 117, -2*t - 4*a = -f. What is the tens digit of t?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 56 + -56. Suppose -6 = -3*z + 2*v, z + 3*v - 1 = 4*v. Suppose z*y = 23 + 5. Solve 2*n - 2 = h, -2*d - n + y = 4*n for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (1263046\/246)\/(5\/(-3) - -2).\nAnswer: 73, 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 (base 13) to base 3\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -b**4\/6 + 119*b**3\/6 + 2738*b**2 - 863842*b\/3 - 1760056\/3 = 0 for b.\nAnswer: -124, -2, 94, 151","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -5 + -114360060?\nAnswer: -114360065","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 2359 - 64494?\nAnswer: -62136","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(91) - (-1*sqrt(91)*6 - sqrt(91))) + sqrt(91)*2*-1)\/(sqrt(7) + sqrt(343)*-1 - (sqrt(343) - sqrt(343)*1)).\nAnswer: -sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7227 is divided by 2294?\nAnswer: 345","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = 2*a**2 + 2*a - 45. Calculate the smallest common multiple of j(-6) and 30.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 160*x = -8452 + 18072 - 2420 for x.\nAnswer: 45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 30\/3 + 6824*(-1)\/(-4) and 780.\nAnswer: 8580","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6403698 to the power of 1\/7, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w + 1989 = 4*t + 681, -t - 3 = 0. What is the smallest common multiple of w and 231?\nAnswer: 1848","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -15381031 times 13\nAnswer: -199953403","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/(4\/(-12))*16\/(-12)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-6)\/108)\/(1*4\/(-16)).\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2345256*x**5 + 1873268*x wrt x?\nAnswer: 46905120*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v + 99 = -7*v. Let i be 2\/1 + v\/6. Let y = 0 + -0.2. Which is the nearest to -2\/5? (a) 2\/15 (b) i (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 274 or -0.235?\nAnswer: -0.235","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -18*m**3 - 88*m**2 + 253*m + 1260. Give g(-5).\nAnswer: 45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -3*o**3 - 44*o**2 - 40*o + 60. Calculate b(-8).\nAnswer: -900","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -555 + 553. Let j be ((-40)\/10 - b) + 3*3. Solve 0 = j*z + 15 + 20 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*t = -4*w + 9 - 27, 3*t = 4*w + 2 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1137 - 1137 + p**2.\nAnswer: p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-1 - (-2)\/4)*2. Let l(u) = u**3 + 6*u**2 - u - 8. Let j be l(-7). Let g be (j\/(-6))\/(i\/(-3)). Solve 0*r - 5*r = -g for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -100321111133 (base 4) in base 13?\nAnswer: -bc0ccc","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3913128 divided by -489141.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a - 4 = -16. Let u(w) = 11*w**2 - w - 2. Let l be u(-1). Let f = -9 + l. Sort -3, a, f.\nAnswer: a, -3, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 32*r**3 + 4*r**3 - 13*r**3.\nAnswer: 23*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 20\/16*17\/((-17)\/(-2))?\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 25524 to the power of 1\/2, to the nearest integer?\nAnswer: 160","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -8*m**2. Let n(s) = 3*s + 13. Let h(z) = 2086*z + 5811. Let l(r) = h(r) - 447*n(r). What is x(l(b))?\nAnswer: -4440200*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2.8997*1.\nAnswer: 2.8997","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 6, u: 4}. Give prob of picking 1 u and 1 e.\nAnswer: 8\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 184983135.\nAnswer: 3, 5, 23, 131, 4093","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zhjz when four letters picked without replacement from {h: 1, j: 4, c: 3, z: 10}?\nAnswer: 1\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 10023 (base 5) in base 2?\nAnswer: 1001111110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) be the third derivative of g**7\/560 - 3*g**6\/160 - g**5\/40 + 3*g**4\/8 + 325*g**2. Factor m(s).\nAnswer: 3*s*(s - 6)*(s - 2)*(s + 2)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1382 at least 1381?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express 57*r + 363*r - 78*r + 242*r + 198*r in the form j + x*r and give x.\nAnswer: 782","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.6, 28, -2 in descending order.\nAnswer: 28, 0.6, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 34, 70, 106, 142, 178?\n\"Answer: 36*d - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 10*h + 4*h - h + 0*h as j*h + l and give j.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1180 and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -18924 divided by -996?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 3*(-9)\/(1 + -4). Solve o = 3*s - 0*s for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x - 4*h - 172 - 90 = 0, -5*h = -3*x - 253. Sort -5, -0.3, -4, x in descending order.\nAnswer: -0.3, -4, -5, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) be the first derivative of -f**3\/3 - 4*f**2 - 3*f + 1816. What is t(-5)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4726 is divided by 26?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*q**3 - 3*q**3 + 24*q**3 - 24*q**3 + q**3.\nAnswer: -2*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1 by -41796.\nAnswer: -1\/41796","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -256415 + 256415. Let g(r) = -r - 3. Let o be g(-7). What is the second smallest value in o, -2.4, -1, x?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2881.3 - -2881.7. What is the second biggest value in -1\/5, -1\/10, 5, 1.5, d?\nAnswer: 1.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -j**2 - 2. Let n be s(-4). Let w be 111\/4 + 2\/8. Let m = w + n. Calculate the remainder when 29 is divided by m.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2 + -1. Let z = 23 - j. Does 16 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1\/4*y + 0 - 1\/2*y**2 + 0*y**3 + 1\/4*y**5 + 1\/2*y**4.\nAnswer: y*(y - 1)*(y + 1)**3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 372184 a multiple of 262?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1027 = -2885*v - 2879*v - 2883*v + 8634*v for v.\nAnswer: 79","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.0299 and -173987515836.\nAnswer: -173987515836.0299","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 195.793 rounded to the nearest integer?\nAnswer: 196","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -2*p**3 + 3*p**2 + 1. Let f be 3*(-2)\/(-4)*(-4 - -6). Let u be (-32)\/(-6)*3\/2. Let k(y) = 6*y**3 - 8*y**2 - 3. Calculate f*k(j) + u*x(j).\nAnswer: 2*j**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/5? (a) 21 (b) -1 (c) 4 (d) 1\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -16311*c**2 - 263*c + 12510647 wrt c?\nAnswer: -32622*c - 263","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 59 + -53. Solve -4 = 2*z - h*z for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 87 is divided by 33?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6\/(-124))\/((-33)\/88*2)?\nAnswer: 2\/31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-8 - -2) + (12 - 8)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -23*s**2 - 11*s + 3. Let f be z(-1). Which is the closest to f? (a) -2 (b) 3 (c) -1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 4309879422 to the nearest integer?\nAnswer: 1627","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -3*b**3 - b**2 + b. Let o be d(1). Let a = -5 - o. Let l = a + 8. What are the prime factors of l?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*x - 3*t - 27 = 3*x, 0 = -2*t - 6. Let c be 10\/x - (-1)\/(-3). Let s be (246\/12 + -18)*((-4)\/(-3))\/(-2). What is the closest to c in s, -1\/3, 0.2?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 262 - 368. Let i = -101 - u. Let a = -3.98 - 0.02. What is the biggest value in i, 0.3, a?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 2 - -31540?\nAnswer: 31542","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -7 - -17. Let g be 3\/5 - (-14)\/z. Solve 2*w - 4*w**g - 2*w**2 + 4*w**2 = 0 for w.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -2*p + 1. Let t be (-45)\/(-6)*(-8)\/(-6). Let d(r) = -1 + t*r - 1 - 3. Give -2*d(x) - 11*l(x).\nAnswer: 2*x - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is c5 + -45?\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 157 divide 641962010?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 7559104793 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -274*m - 4645. Give x(-18).\nAnswer: 287","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: Let h be 3*6\/(-63) + (-184)\/(-7). Suppose 25*i = h*i - 8. Is i a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g - 4 = 4*a - 0*a, 5*g + 3 = -3*a. Let q be 324\/60 + 21\/(-15). Suppose -5*x = 4*j + 2 - 36, -q*j + 18 = -3*x. Put j, 1, 5, a in ascending order.\nAnswer: a, 1, 5, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2.88 + 7.\nAnswer: 4.12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 95*s - 14*s - 1017 = -32*s for s.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) be the second derivative of 2*v**3\/3 - v**2 - 14*v. Give d(2).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(405) - ((2 + sqrt(405) - sqrt(405)) + sqrt(405)))**2 + sqrt(5) - ((sqrt(5) - (sqrt(5) + 2)) + 5).\nAnswer: 1 + sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 308704, 617404, 926104, 1234804?\nAnswer: 1543504","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5 take away 190798?\nAnswer: -190798.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.062 - -2.062. Let k = 0.01 - -0.39. Sort k, -0.2, x in ascending order.\nAnswer: -0.2, k, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, 0.2, -823\/6 in decreasing order.\nAnswer: 6, 0.2, -823\/6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 2\/5 (b) 480683 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 5, 1\/13, 2, -5?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.16 - 2.04. Let w = -4.3 + 3.9. Let f = w - q. Round f to the nearest integer.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 15 + -23. Let n be (-8)\/20 + (-126)\/10. Let k be 24\/c - n\/1. Solve -2*v = -7*v - k for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 divided by -1259.\nAnswer: -5\/1259","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 129 - 93. What is the lowest common multiple of 2 and 4\/(16\/d) - 0?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -9208000 rounded to the nearest 100000?\nAnswer: -9200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -1741*c**2 - 941*c - 4716905?\nAnswer: -3482*c - 941","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -315 - -2839\/9. Factor 2\/3*j - 2\/9*j**2 - z.\nAnswer: -2*(j - 2)*(j - 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1145, 1070, 969, 830, 641?\nAnswer: 390","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 18 - 14. Suppose -u = -d - 3*x, 2*x = -3*d + 7 + 40. What is the units digit of d?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -17 + (7 - ((-40)\/(-15))\/(377\/(-1392)))?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1871437*g**2*x + 16338*g**2 - 115*g with respect to x.\nAnswer: 1871437*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.02 + 0.28. Let t = -1 + 1.2. Let p = t - d. Is 0 equal to p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3036.\nAnswer: 2, 3, 11, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*m + 28 = -5*x, 11 = -3*x + 2*m - 6*m for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 3 (b) 551 (c) -2476 (d) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -68 divided by -2\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 188468986?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 264 and 32?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 35 + -31. Let x be 3\/v + 135\/(-36). Let n be ((-12)\/x)\/(0 - -14). Is 3\/11 greater than or equal to n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12 = 4*m - j, -3*j + 46 - 38 = 2*m for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -92, -132, -182, -242?\n\"Answer: -5*n**2 - 25*n - 62","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 9, n: 2}. What is prob of picking 2 m?\nAnswer: 36\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*i - 5*i + 5*i + 3 + 3*i**3 - i as u*i**3 + w*i**2 + c*i + b and give u.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-10)\/4)\/(2\/(-4)). Let z(x) = x**2 - 4*x - 7. Let c be z(u). Let t = -68\/35 + 8\/7. Are c and t nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2980 is divided by 1483?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w = 4*w - 3. Let g be 2 + (-7 + 7200 - 4). Suppose -3*n + g = -w*q, 2*q + 0*n = -2*n - 4806. Round q to the nearest 100.\nAnswer: -2400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 160283 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (12\/15)\/((-3)\/15). Let a(f) = -3*f + 1. What is the least common multiple of a(-1) and (-1*11)\/(p - -3)?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, 2054, 6962.\nAnswer: 7, 2054, 6962","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 262 - 251. Let w(n) = -n**2 + 9*n + 9. Calculate w(g).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = f**2 + 7*f + 3. Let j be x(-3). Let u be (-1)\/j*3 - 1. What is the closest to 1\/2 in -0.5, -3, u?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (3*(4*sqrt(288))**2*-1*-3 + 2 + -1)*4.\nAnswer: 165897","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 185860 and 110?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10595?\nAnswer: 5, 13, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is n in -n**5 + 73*n**4 + 1258*n**3 + 5384*n**2 + 6336*n = 0?\nAnswer: -9, -4, -2, 0, 88","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a - a + 6 = 0. Let y(r) = -8 + 1 + r**2 - a*r + 5*r**2 + r**3. What is y(-6)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1097866595?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 3972671 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 264 minutes before 10:10 AM?\nAnswer: 5:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -p**3 - 20*p**2 + 1896*p + 34753. Calculate r(-18).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -19 and -81.8?\nAnswer: 62.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 23113 rounded to the nearest 1000?\nAnswer: 23000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*j + 13 = -11*d + 59, 3*j - 110 = -22*d + 75 - 38 for d.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 + 3 = 4*h. Suppose -5*w + 4*p = -4*w - 6, 16 = h*w - 4*p. Let o be -30*(1\/(-1) - 1). Calculate the greatest common divisor of o and w.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 715916265 to the power of 1\/6, to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*p + 111 = 3*r - 5*p, -5*r + 4*p + 185 = 0. Suppose -2*l - 6*b + 2*b = -2, 4*l - 3*b = r. What is the units digit of l?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -10*r**4 + 8*r**2 + 28*r + 8. Let w(u) = 7*u**4 - 5*u**2 - 19*u - 5. Let q(l) = 5*s(l) + 8*w(l). What is the second derivative of q(g) wrt g?\nAnswer: 72*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 15 and 815?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000933241485 to seven dps.\nAnswer: -0.0000093","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*sqrt(88)*6)\/(sqrt(200) + (sqrt(200)*-1 - sqrt(200))))**2.\nAnswer: 3564\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 76757963 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 - (-118)\/(-4)*6\/(-45)?\nAnswer: -1\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = 178084*n**2 - n. Let x(s) = 4*s. What is x(d(i))?\nAnswer: 712336*i**2 - 4*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -10167\/11 - -925. Let z = 123268523\/110 - 1120648. Let w = z - -224\/11. What is the common denominator of w and r?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1 + 1*(9 + -2). Let m be 0\/1 - (-6)\/12*2. What is the greatest common divisor of m and q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) be the third derivative of q**8\/840 - q**7\/175 - 7*q**6\/100 + 83*q**5\/150 - q**4 - 463*q**2. Determine c, given that r(c) = 0.\nAnswer: -5, 0, 1, 3, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -a**3 + 7*a**2 + a - 6. Let v(b) = -3*b - 14. Let y be v(-6). Let o be (y - (-30)\/5) + -3. Determine k(o).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 6 - -5?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 213331231331 + 4?\nAnswer: 213331231340","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-3)\/9)\/(6\/(-54)). Suppose 4 = f + y*f. Suppose 0 = 3*r + 20 + f. Which is greater: r or -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20 = 4*o, -5*j + 9*j + 4*o + 28 = 0 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -1 + 22*(-9209795)\/(-10). Let c = z + -10361548. Round c to the nearest 1000000.\nAnswer: 10000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = 2*s**3 + 19*s + 13. Let d(t) = -t**3 - 9*t - 6. What is -4*b(p) - 9*d(p)?\nAnswer: p**3 + 5*p + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -4, 23\/2, -0.05?\nAnswer: 23\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find c, given that 4*c**5 - 37000756*c**4 - 37000760*c**3 = 0.\nAnswer: -1, 0, 9250190","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -8, 1, 5, -1\/4, -0.1, -28?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 3880 a multiple of 84?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = l**3 - 4*l**2 - 6*l + 6. Let x be t(5). Let u be (-8)\/(-6) + (-519)\/(-21). Let f = u - 79\/3. What is the second smallest value in -0.02, f, x?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a decade in months?\nAnswer: 30","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 778 - 797 - (1 + 3 - (-6 - -91)).\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -12*q - 1. Suppose 124*c = 126*c + 6. Calculate i(c).\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -6519, -5686, -3427, 972, 8225, 19046, 34149?\n\"Answer: 119*s**3 - s**2 + 3*s - 6640","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f - 5*a = 65, -a - 2 - 3 = 0. Find the common denominator of ((-6)\/f)\/(9\/426) and (-1068)\/308 - 4\/(-14).\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -3*s**2 + 31*s - 36. Let u be 37638\/4059 + (-14)\/11. What is q(u)?\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -340842*l**2 - 340839*l**2 + 681680*l**2 - 688*l.\nAnswer: -l**2 - 688*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 21384 a multiple of 198?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) be the second derivative of -7*u**5\/20 - 587*u**4\/4 - 3116*u + 2. Find the third derivative of a(d) wrt d.\nAnswer: -42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j + 32 = 6*j. Let d(l) = -l**3 + 2*l**2 + 4*l + 5. Calculate the remainder when d(-3) is divided by j.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1576 or 27?\nAnswer: 27","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1 + sqrt(50) + -1 + sqrt(50))*1)**2 + (0 + sqrt(200)*1 + -2)**2.\nAnswer: -40*sqrt(2) + 404","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -9 + 9. Suppose q = 2*u - 1 - 9. Let f(z) = -z - 1. Give f(u).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8 + 1 + 7 - 44*m.\nAnswer: -44*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*b - z + 206, -8*z + 96 = -2*b - 11*z. Let g be (-7)\/b - 205\/(-30). Let o(f) = 4*f**2 + 3. Let t(k) = 3*k**2 + 2. Give g*t(l) - 5*o(l).\nAnswer: l**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = 4*j - 2. Let k be i(4). Let m(l) = 7*l + 392. Let b be m(-38). Calculate the greatest common divisor of b and k.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 l when four letters picked without replacement from {p: 7, l: 6}?\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is x in 2*x**2\/11 - 4028*x\/11 + 12066\/11 = 0?\nAnswer: 3, 2011","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5 - 5 - 18*f.\nAnswer: -18*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 693469491?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00099083729 to 7 decimal places.\nAnswer: -0.0009908","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-3)\/9)\/((-60)\/(-2880)).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -h**2 + 2043*h + 6135. Determine j(-3).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-156 + 156 - 47*d)*(-329 + 329 - 32*d) to the form l*d + g*d**2 + j and give g.\nAnswer: 1504","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -847 - -844. Which is the closest to t? (a) 0.05 (b) 4 (c) -2\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve l**5\/3 + 19*l**4\/3 + 46*l**3 + 162*l**2 + 279*l + 189 = 0 for l.\nAnswer: -7, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in four thirds of a hour?\nAnswer: 4800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 4284061 to the nearest 10000.\nAnswer: 4280000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 663 minutes after 4:02 AM?\nAnswer: 3:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide 70910 by -70910.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 2, 20, 4, -5 in descending order.\nAnswer: 20, 4, 2, 1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 + n - 2)*((-3 + 0 + 5)*(10 - 10 + 4*n) + (-3 + 4 + 0)*(n - 4*n + 5*n)) in the form r*n + m + x*n**2 and give x.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 g and 1 t when four letters picked without replacement from {g: 11, t: 3}.\nAnswer: 45\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 13\/(-39) - 32\/(-6). Suppose 3 = 3*m, -10*t = -6*t + v*m - 22953. Is t prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) be the first derivative of -1\/2*z**2 + 2 + 20*z. List the prime factors of g(9).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -u**3 - 7*u**2 - 3*u - 7. Let g be v(-7). List the prime factors of g\/49 + 192\/14.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 5 and 215.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 8*a - 17*a**5 - 11*a + 632*a**5 - 7*a**3 - 3*a**2 + 7*a**3 wrt a?\nAnswer: 36900*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.2? (a) -15 (b) 6 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1, -2\/9, 1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*x**2\/5 - 1750*x - 73336\/5 = 0. What is x?\nAnswer: -356, -103\/12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -2394*h**2. Let q(o) = -7555*o**2 + 3763*o**2 + 3789*o**2. What is v(q(y))?\nAnswer: -21546*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*i**2 - 184*i + 5016.\nAnswer: -2*(i - 22)*(i + 114)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) be the second derivative of -d - 193\/2*d**2 + 7 + 0*d**3 + 101\/6*d**4. What is the first derivative of w(p) wrt p?\nAnswer: 404*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -57 + 60. Determine d, given that 42*d**3 - 19*d**4 - 10*d**5 - 40*d**5 + 40*d**2 + 8*d - 18*d**4 - n*d**4 = 0.\nAnswer: -1, -2\/5, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = x**2 + 5*x. Let i(m) = -7*m**2 - 1. Let v be i(1). Let h be y(v). Let f = -2 + h. Is 12 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 113 in 0.3, 0.4, 23, 5?\nAnswer: 23","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = 14*u**3 + u**2 - 2*u - 3. Is 13 a factor of l(3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -5*q**3 - q**2 + 2*q + 6. List the prime factors of i(-3).\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2332 - 2324. Solve 37*j - z*j = -29 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-1)\/(-1) - (3 + -6). Let n(q) = -q - 2 - h*q**2 + 4*q**2 + 2*q**2. What is the units digit of n(2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) be the first derivative of -g**6\/3 + 2*g**3 + g**2\/2 + 19*g - 10. What is the second derivative of h(k) wrt k?\nAnswer: -40*k**3 + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.9 - -0.9. Suppose 4*x + 19 = -1. Which is the nearest to i? (a) 1 (b) x (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (2 - -1 - 0) + 7. Let g be (-8)\/(-40)*c\/(-8). What is the smallest value in 2, g, 5?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 m and 1 x when three letters picked without replacement from {e: 9, m: 2, i: 1, x: 2}?\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f + 3 = 2*z, -5*z - 5*f + 31 = 6. Which is the biggest value? (a) -1\/4 (b) z (c) 0.2 (d) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(-4*(sqrt(343) + (1 + sqrt(343) + -5 - sqrt(343))) + 5)**2.\nAnswer: -1176*sqrt(7) + 5929","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.59743 to 3 dps.\nAnswer: -0.597","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 161\/48? (a) -3 (b) -2\/3 (c) -209 (d) 4\/7 (e) 1\/4 (f) 0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 7723, 7726, 7729, 7732, 7735, 7738?\n\"Answer: 3*t + 7720","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) be the second derivative of 0*t**3 + 0 - t - 1\/2*t**2 + 1\/12*t**4. Factor u(f).\nAnswer: (f - 1)*(f + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.07462622112 to 4 decimal places.\nAnswer: 0.0746","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = j + 5. Let s be w(4). Let r be (s\/2 + -2)*-4. Let t(i) = -8*i + 2. Let k(a) = a. Let y = 7 + -8. Give r*k(x) + y*t(x).\nAnswer: -2*x - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 146410543 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000941945 rounded to 4 decimal places?\nAnswer: 0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is -79815 <= -79814?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 89 minutes before 3:46 AM?\nAnswer: 2:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 0 - 63?\nAnswer: -63","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3 + 4. Suppose 0 = -38*b - 321 + 55. Sort -5, j, b in decreasing order.\nAnswer: j, -5, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -4, 0, 14, 1, 3, -392 in descending order.\nAnswer: 14, 3, 2, 1, 0, -4, -392","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is (-249897)\/(-21) + (-424)\/(-371) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1\/90 (b) -0.2 (c) 2\/5 (d) -3 (e) -35\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (23 - (3 - -29)) + (0 - 2 - 0).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l - 4*w + 9 = 0, 18 - 43 = -4*l - w. Let v(c) = -l + 2*c**3 - 6*c**2 + c**3 - 2*c**3 - 6*c. Calculate v(7).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 43996 + -29773. What is the units digit of s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3680 rounded to the nearest 100?\nAnswer: 3700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -17 - -32. Let t be -3 + -3 + 63\/3. Suppose o - 3*i = t, 6*i - i + 25 = 4*o. Solve -4*a = -2*a - 5*h - 16, -3*a + 3*h + n = o for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 108195.5 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is -141479 greater than or equal to -141481?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 21588 or 21587?\nAnswer: 21588","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 0.05947 times -0.073\nAnswer: -0.00434131","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 2158 a multiple of 26?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 - 2 = k - 5*c, -3*k + 3*c = 0. Let x = 46 + -45.6. Let r = -20\/3 + 7. What is the closest to r in -2, k, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t, 1 f, and 1 m when three letters picked without replacement from {m: 1, f: 1, h: 1, t: 1, y: 2, q: 1}.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1208595 - 1208593. Factor 2\/3*h + 20\/9 - 2\/9*h**o.\nAnswer: -2*(h - 5)*(h + 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 25 - 22. Let u(v) = -5*v + 10*v - c*v. Let z(k) = -68*k. Calculate u(z(a)).\nAnswer: -136*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z + 3422 = 4*a, 5*a + 3*z + 995 - 5256 = 0. What is the highest common divisor of 61 and a?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 12.23 - 9.23. Suppose -4*l = -0 - 8. What is the biggest value in 2\/3, l, w, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -5 - 1 + 4*k**2 + k**3 + 9 + 2*k. Give z(-4).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o\/(o\/(o\/(o**(-12\/11)\/o))))\/(o**(2\/43)\/o)*(o**17)**(-10) assuming o is positive.\nAnswer: o**(-78497\/473)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 93289637?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -726*k - 1296 = -723*k. Put k, -1, -8, -4 in increasing order.\nAnswer: k, -8, -4, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2, 66, -0.2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((((w**(1\/4)*w)\/w)\/w)**(-27))**18)**(2\/41))**(-14) assuming w is positive.\nAnswer: w**(-10206\/41)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4134 divided by -9.\nAnswer: 1378\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**16\/m*m*m\/m**(2\/41))\/(m\/m**(-1\/2)*m\/m**(-12)) assuming m is positive.\nAnswer: m**(201\/82)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.36809873691 rounded to four decimal places?\nAnswer: -0.3681","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -2*s**2 + 20*s + 4. Let r(i) = 2*i - 5. Let n be r(6). List the prime factors of p(n).\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1 + 0 - (-7)\/(-3). Let v(b) = -b**2 - 5*b + 2. Let u be v(0). Suppose -j + 10 = 3*x + 8, -u*j - 2*x = 0. What is the closest to -0.01 in q, j, 2?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -18 + 27. Let j(u) be the third derivative of u**5\/20 - u**4\/3 + 3*u**3\/2 + 3*u**2. Calculate the remainder when j(4) is divided by b.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -24, 0, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -4 - -1085382?\nAnswer: 108537c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t = -3*l - 18, -3*l = -4*t + 4 + 22. Suppose -24*w = 98*w + 126*w - 1240. What is the smallest common multiple of (-43)\/(-4) + 2\/t and w?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: Round -0.000094232076 to 5 decimal places.\nAnswer: -0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 7255 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 - 4 + 1)*(3*s + 18*s - 8*s) + (-2 + 2 + 2)*(-2*s - s + 2*s) + (-2 + 4 - 5)*(s + 3*s + s) as b + z*s and give z.\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 e when four letters picked without replacement from eeeffeeeeeefeeefee.\nAnswer: 1001\/3060","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3 + 1. Let z = -1 + 1. Let p(j) = -4917*j - 255697. Let i be p(-52). Which is the closest to 1? (a) g (b) i (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (79 + 18*c - 79)*(19*c - 35*c + 1 - 13*c) in the form n*c + a + y*c**2 and give y.\nAnswer: -522","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1800?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 176804650 + -176804643.00000078. Let v = 7.18 + -0.18. Let h = r - v. What is h rounded to seven dps?\nAnswer: -0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -110 - -68. Let y = n + 66. What is the tens digit of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) be the third derivative of r**3 - 47\/96*r**4 + 11\/120*r**5 - 72*r**2 + 1\/480*r**6 + 0*r - 2. Let d(v) = 0. What is v?\nAnswer: -24, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n + 5 = 2*n. What is the units digit of n?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.3*-1.34\nAnswer: -0.402","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 40 divide 2600?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = 5*s**2 - 65*s + 90. Let z(j) = j - 2. Let m(g) = h(g) + 30*z(g). Suppose m(o) = 0. Calculate o.\nAnswer: 1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3002 (base 4) to base 8\nAnswer: 302","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (239 - 239 + 18*n**3)*(-n**2 - 3*n**2 + 3*n**2).\nAnswer: -18*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 16 divided by -34214\nAnswer: -8\/17107","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 1 divided by -1797303\nAnswer: -1\/1797303","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -h**3 + h**2 + 21*h - 9. Suppose 6*j - 20 = j + 4*m, 2*m = 0. Let z be n(j). Solve 0 = 9*o - 0*o + z for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 12.3 + -15. Let l = 2.6 + h. Which is the smallest value? (a) -1 (b) l (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -2*j**3 + 105*j**2 - 1300*j + 55. Let p(s) = s**3 + 6*s**2 - s - 3. Calculate the lowest common multiple of m(20) and p(-6).\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -3*d + 7*d**3 + 3*d + d + d**2. Let q be ((8 + -1 - (-10 + 14))\/3)\/(-1). Calculate i(q).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -29439\/8 + 3668. Calculate the common denominator of j and -27.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = 2*j**2 - 2*j - 2. Let f be k(2). Is f <= 3\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 12222*s**4 + 19*s**2 - 49*s + 131743323 wrt s.\nAnswer: 48888*s**3 + 38*s - 49","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 769762, 1539521, 2309280, 3079039, 3848798?\nAnswer: 4618557","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:59 PM and 10:05 PM?\nAnswer: 366","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 28163018 to the nearest integer?\nAnswer: 5307","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -160*f**2 - 2559*f + 154. What is g(-16)?\nAnswer: 138","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 41 and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 177325 to the power of 1\/2, to the nearest integer?\nAnswer: 421","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -52*s = -58*s + 18. What is the lowest common multiple of 717 and s?\nAnswer: 717","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1053 and 585?\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 8569785 rounded to the nearest one hundred thousand?\nAnswer: 8600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 47180433?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -a - 32. Give r(20).\nAnswer: -52","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p + 55 = 4*p. Let n = p + -6. Suppose -2*q - 12 = -5*x, 0 = -x - 4*x - 5*q + n. Solve -4*r + 3*c - 2*c = -1, -x*c = -4*r + 6 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*sqrt(468)*3.\nAnswer: 18*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -2*n**2 - 22*n - 22. Let f be (16 - 38)\/22*11. Calculate u(f).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 0*c**4 + 111 - 83 - 80*c**4 - 256 with respect to c.\nAnswer: -320*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 6\/463 + -1076\/11575. What is the third biggest value in p, 0.2, 0.269, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:31 PM and 2:30 AM?\nAnswer: 359","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 893277473 is divided by 26?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -20 + 37. Suppose g = l + 2. What is the remainder when l is divided by (5\/(-3))\/((-10)\/36)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-8)\/4*-2 - -20) + (-80)\/(40\/4)?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = 3*g. Let z(y) = -188 + y + 188. Calculate u(z(s)).\nAnswer: 3*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -j**3 - j**2 + 4*j + 3. Calculate t(-4).\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -165, -337, -513, -687, -853, -1005, -1137, -1243?\nAnswer: -1317","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Are -422\/6487 and 0 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -216 (base 10) in base 6?\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2893?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 9 + -13. Let o = 0.16 + -0.86. Let h = o - -0.7. What is the second smallest value in f, h, 3?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u*u**(-12\/7))**(-19)\/(u**(-17))**(1\/54) assuming u is positive.\nAnswer: u**(5249\/378)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 670 minutes before 1:09 AM?\nAnswer: 1:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -o - 7. Let g be b(0). Let n = -20 - -31. Let d = g + n. What is the remainder when 7 is divided by d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*((sqrt(375) - (sqrt(375) - ((sqrt(375)*-4 - sqrt(375)) + sqrt(375))))*5 + sqrt(375))\/((sqrt(180)*3 - sqrt(180))*-3).\nAnswer: -95*sqrt(3)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -232, -461, -690, -919, -1148, -1377?\n\"Answer: -229*w - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1499 - 1370. Solve -6*l - 123 + t = 0 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6715617877 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -26936 + 26942. Let g(f) = 9*f**2 - 7*f + 19. Let j(z) = 5*z**2 - 3*z + 10. Let i(v) = -4*g(v) + 7*j(v). Determine i(k).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 57 is divided by 30.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express -18*r**2 + 69*r**2 + 4*r - 4*r as y*r**2 + d + q*r and give q.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 5, f: 4, c: 5, u: 2, v: 1, t: 3}. What is prob of picking 1 t, 2 c, and 1 u?\nAnswer: 4\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(152) - (-2*sqrt(152) + sqrt(152)))*2)\/((sqrt(128) - (-1*sqrt(128) + sqrt(128))) + sqrt(128)).\nAnswer: sqrt(19)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (sqrt(720) - (2*sqrt(720) + -1)**2) + -1 + sqrt(720) + sqrt(720) + -3.\nAnswer: -2886 + 84*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -74401 divided by 46\nAnswer: -74401\/46","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = 5*b + 7. Let q be p(-7). Let y = q - -32. Let l be 0 + (-5)\/(-5) + y. Solve -6 = 3*c, -4*d - l*c - 2 = -2*c for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i - 2*n + 148 = 140, -n + 7 = 2*i. Let b = -1 - -2. Let t be b + (-2 - -2) - -3. Solve t*o + i = 7 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6 - -1)\/(-15)*(-278 - -197)?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 5, q: 2, k: 4}. What is prob of picking 3 s and 1 k?\nAnswer: 4\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 + 1 + (-1 - (0 + 5)) + 8?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16314*g**3 + 5355*g**3 + 5476*g**3 + 5290*g**3.\nAnswer: -193*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3529834, 7059701, 10589568, 14119435?\nAnswer: 17649302","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-three quarters of a milligram in micrograms?\nAnswer: 10750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -6*k**4 - 6*k**3 + 40*k**2 - 4*k. Let n(a) = -5*a**4 - 7*a**3 + 40*a**2 - 5*a. Let c(m) = -4*n(m) + 5*z(m). Find the third derivative of c(x) wrt x.\nAnswer: -240*x - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -341 - -244. Let k = 97.428 + z. What is k rounded to two dps?\nAnswer: 0.43","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = 3 - 9 + 6 - 2*o. Let l(b) be the third derivative of b**4\/12 + 3*b**2. What is l(g(i))?\nAnswer: -4*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) be the first derivative of 69*p**4 - 40*p**2 + 148. What is the second derivative of s(i) wrt i?\nAnswer: 1656*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in -16.29, 2\/121, -2\/17, -3?\nAnswer: 2\/121","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 22 (b) 0.41 (c) -5 (d) 2\/13 (e) -0.4 (f) 20\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is -4728 != -0.6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 32 and 28?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 27, 66, 1\/43, -6?\nAnswer: 27","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = 104*c - 996. Give b(10).\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 25723 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (8\/(-110))\/((-1)\/(-5)). Let t(o) = -5*o + 40. Let p(f) = f - 10. Let d(r) = 9*p(r) + 2*t(r). Let z be d(-11). Which is greater: n or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*a**2 + 2149512*a - 385033486512 = 0.\nAnswer: 358252","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) be the third derivative of 55*g**4\/12 - 263*g**3\/6 + 6*g**2 + 1. Is m(6) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -44 + 44.48. Round b to 1 decimal place.\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -b**3 - 16*b**2 - 44*b - 22. Let f be u(-13). Suppose -26*v - 9 = f. Let y(h) = 7*h**2 - 2*h - 5. Let i(p) = 6*p**2 - p - 4. Give v*y(t) + 3*i(t).\nAnswer: 4*t**2 + t - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 2242 (base 9) in base 4?\nAnswer: 121322","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-4)\/((-3)\/((-60)\/8)). List the prime factors of 22\/55 + (-106)\/z.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 38, 156, 352, 626, 978, 1408, 1916?\n\"Answer: 39*f**2 + f - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 93132 and 12870.\nAnswer: 5122260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 5913029 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1390378.\nAnswer: 2, 11, 63199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = b**2 + 8*b + 7. Let q(i) = i**3 - 4*i**2 - 2*i + 4. Let g be q(2). Let r be d(g). Solve -32 = -5*u - r for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -s**2 + 9*s + 2. Let g = -5 + 13. Let a be n(g). Solve 3*h = 1 - a for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -999, -3537, -7653, -13341, -20595, -29409, -39777?\n\"Answer: a**3 - 795*a**2 - 160*a - 45","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-72)\/(-28) - 0)*7. Let f = 22 - t. Suppose 103 = 3*h - 2*w, -f*h + 2*h + 3*w + 62 = 0. Calculate the remainder when h is divided by 20.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.6 and -26.6.\nAnswer: -15.96","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 256539971?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(6*(sqrt(66) - ((sqrt(66) - sqrt(66)*-2) + sqrt(66))) + sqrt(66) + 1*-2*sqrt(66)))\/((-1*sqrt(2916))\/(2*sqrt(96))).\nAnswer: 760*sqrt(11)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3 in 0, 0.2, 87, 0.88?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*n**3 + 4*n**2.\nAnswer: -4*n**2*(n - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 125 + -310. Let v = 195 + z. What is the smallest common multiple of v and 40?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) be the first derivative of 0*b**2 - 3*b**3 + 16\/7*b**7 + 0*b**4 - 24 + 0*b**5 + 0*b**6 + 0*b. What is the third derivative of j(t) wrt t?\nAnswer: 1920*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*v**3\/7 + 1604982*v**2\/7 - 8024860*v\/7.\nAnswer: -2*v*(v - 802486)*(v - 5)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 227\/4 + -57. What is the nearest to b in 0.1, -2\/23, 4?\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 1.1605 and 0.38?\nAnswer: 0.7805","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -5963*q**3*s**3 + 2*q**3*s**2 + 276*q**3*s - q**2*s**2 - q**2*s - 127*s**3 + 11172*s wrt q?\nAnswer: -35778*s**3 + 12*s**2 + 1656*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i + 758 = -490. Let f = i + 565\/2. Let b = -1350 + 8065\/6. Calculate the common denominator of b and f.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 382.4 to the nearest 100.\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:27 PM and 12:54 PM?\nAnswer: 27","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 1 - 1)*(4*f - 3*f + 0*f)*(-2616 + 4470 - 2971).\nAnswer: -1117*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = 5*k**2 + 6. Let i(y) = 4*y**2 + 5. Let x(t) = -5*h(t) + 6*i(t). Let q = 48 + -30. Suppose 2*o = -4*n - q, 14 = 2*o - 3*n - n. Give x(o).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2 - 3. Suppose 0 = -6*s - 0*s - 24. Let u = s + w. Sort -2, u, 3 in increasing order.\nAnswer: u, -2, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -32 - 3382827?\nAnswer: -3382860","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 181802, 181778, 181742, 181694, 181634, 181562?\n\"Answer: -6*h**2 - 6*h + 181814","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 + (-13 + -9 + 13 - -5)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 20, -3\/5, -6998?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -4*n**5 + 6*n**3 - 18*n**2 + 8*n - 2. Let r(o) = o**5 + 2*o**4 + o**2 + 1. Let t(s) = -l(s) - 2*r(s). Let t(z) = 0. What is z?\nAnswer: -2, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6 - (16\/(-10) - 4)\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*r**3*u - 3*r**3 + 10*r**2*u - 8*r**2 - 5069*r*u wrt r?\nAnswer: 12*r*u - 18*r + 20*u - 16","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f - 5*o - 121617 = 0, -143*f = -141*f - 4*o - 60798. What are the prime factors of f?\nAnswer: 17, 1789","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1777319 is divided by 445.\nAnswer: 434","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 16\/11 - 79\/77. Let t = 3.6 + -2.2. Let x = t - -3.6. What is the nearest to 0 in c, -1, x?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-8)\/(-20) - 534\/(-15)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -202202220220101 (base 3) in base 5?\nAnswer: -10311300014","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = 3*b + 1 + 6*b + b**2 + 12 - 1. Let j be u(-9). Let m be ((3\/(-6))\/(-1))\/((-5)\/10). Which is bigger: m or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-9 + 10)\/((-1)\/(-8)). Let t = w + -1. Differentiate -5 - 4*u + 2*u - t*u**2 + 2*u wrt u.\nAnswer: -14*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 2.29 and -3.\nAnswer: -6.87","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -8737\/20 - -437. Which is greater: a or 0?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = u**2 - 15*u + 4. Let w be k(15). Let s be 0*w\/(-16)*2. Factor 4*f**2 - 2*f**5 - 6*f - 3 + 0 + 8*f**3 + s*f**5 - 1.\nAnswer: -2*(f - 2)*(f - 1)*(f + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -21 - 15 + 2658*l**3 - 2670*l**3 + 45 - 9.\nAnswer: -12*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 60229 and 39?\nAnswer: 180687","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.370741796 to three dps.\nAnswer: -0.371","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -168 + 185 + 0 + -10 + -3?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y = -7*y - 3*s + 35, 4*s - 20 = 0. Let a = y - 7. Let t be 66\/(-24) + (-6)\/(-4). Put a, -4\/5, t in descending order.\nAnswer: -4\/5, t, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 91 is divided by 16?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put -9, 0, -131, -1 in ascending order.\nAnswer: -131, -9, -1, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 16904 + -10040. List the prime factors of k.\nAnswer: 2, 3, 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 245256379 is divided by 2189789?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*c - 12190970 = -2853602. Is c a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 7\/(-14)*2*-2. Let q(s) = 10*s - 2. What is the units digit of q(l)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -148 - -7135826?\nAnswer: 7135667","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -19 + 40. Let z = k - 19. Suppose v = -5*d - 3*v + 280, -z*d + 3*v = -135. Is d a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 429759759 and 215?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 28 + 181. What is the tens digit of w?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**2)**(3\/2)*(c**0)**(-24)*(c**(-1\/5)\/(c**(2\/7)\/c))\/(c\/(c*((c\/(c**(3\/8)*c*c))\/c)\/c)*c**(-8\/7)) assuming c is positive.\nAnswer: c**(359\/280)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v + u = 6, -3*v + 8*v + 4*u + 75 = 0. Let g = -9 - v. Suppose -3*w + 4*k + k + g = 0, 0 = 4*w + 5*k - 26. Solve w*x + 2 + 2 = 0 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -4032*x - 16299. Let w(u) = 1005*u + 4075. Let f(j) = -6*h(j) - 23*w(j). Find the first derivative of f(m) wrt m.\nAnswer: 1077","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2012112211111121112 - 10?\nAnswer: 2012112211111121102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = 2. Let l = 5 - 3. Let q(a) = a - 5. Calculate l*q(g) + 5*p(g).\nAnswer: 2*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of 75961720?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 25290 a multiple of 45?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert -9230 (base 10) to base 9.\nAnswer: -13585","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 432 a factor of 4298615?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:54 PM and 1:41 AM?\nAnswer: 107","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (3\/(24\/(-20)))\/((-1)\/(-108)). Let q be (48\/(-18))\/(3\/z). Calculate the highest common factor of 30 and q.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 318036353 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -3*f - 3. Let n be k(-5). Let h be (-7)\/((-14)\/n) - 2. What is the third derivative of 11*v**h - 83*v + 5*v**2 - 3*v**4 + 83*v wrt v?\nAnswer: 192*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 4, -8, 0, -39 in decreasing order.\nAnswer: 4, 0, -2, -8, -39","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -260069250 and 0.4?\nAnswer: -104027700","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 326 is divided by 88?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in nine tenths of a millimeter?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*z + 52 = 8*p, -3*p + 3*z - 19537 = -19561 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = f**2 - 5*f + 4. Let d be z(0). Suppose -d*g**3 + 0*g**3 + 8*g**2 + 0*g**3 = 0. Calculate g.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 111 - -5?\nAnswer: 116","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -13 - -17. Let k = s + -4. Solve -5*u + 10*u - 5 = k for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -44 (base 8) to base 9\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y, 1 s, 1 f, and 1 l when four letters picked without replacement from {l: 1, h: 3, s: 6, f: 2, y: 2}?\nAnswer: 24\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4914159 + 513*k + 252*k - 4914159.\nAnswer: 765*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.3 (b) 11 (c) -6337\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) be the second derivative of k**3 + 0 + 1\/2*k**2 - 17*k + 1\/3*k**4. Let l be f(-2). Solve -4 - 6 = -l*j for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -3*v**2. Let f(y) = 1505*y**2 - 4421*y**2 + 15888 - 15888. Determine w(f(n)).\nAnswer: -25509168*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 521405 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = 2*g + 10. Let x be v(-3). Solve 0 = 5*k + 10, -3*y - 1 = -5*k + x for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.66231cm in kilometers?\nAnswer: 0.0000566231","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 11530.34 years in decades?\nAnswer: 1153.034","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/((-156)\/48*2).\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*c**4 + 15*c**3 + 12*c**2 - 60*c.\nAnswer: -3*c*(c - 5)*(c - 2)*(c + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -17\/132 and -51\/286.\nAnswer: 1716","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 6 + -3. Suppose 3*s + 120 = 5*l, 78 = r*l - 0*s - 3*s. Let o = l - 13. What is the units digit of o?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 267.7 + -286. Let r = f + 39. Which is smaller: -1 or r?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -l**2 - 633 + 633.\nAnswer: -l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in twenty-six fifths of a kilogram?\nAnswer: 5200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 29984 - 12784. Round b to the nearest 10000.\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -8*t**2 - 4163*t + 8339. What is d(2)?\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 4095451 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -199 - -194.32. Let n = r + 4. Let p = 0.29 - n. What is p rounded to one decimal place?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 681 + -678. Find the second derivative of -289*x - i*x**3 + 257*x - 3 + 0 + 3*x**3 + 14*x**5 wrt x.\nAnswer: 280*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y = -v - 6*y + 56, 0 = -v - y + 60. List the prime factors of v.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 135 minutes after 8:37 AM?\nAnswer: 10:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 107, 114, 125, 140, 159, 182?\nAnswer: 209","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f + 141 = 3*h, 3*h - 172 = -h + 4*f. Let p be (-1 - 8\/(-6))*h. Solve -5*m + 5*c + p = 0, 0 = 2*m - 4*c - c - 3 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 + (-9 - (4 + -8))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -0.03923 or -139?\nAnswer: -0.03923","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -23145 (base 7) to base 4\nAnswer: -1130121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 10, 18, 24, 28, 30?\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(sqrt(147) + 1 + sqrt(147))*4 + -2)**2 - (sqrt(144) + 2*sqrt(144))\/(-4*sqrt(24)\/sqrt(2)).\nAnswer: 2691*sqrt(3)\/2 + 37668","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:09 AM and 9:50 AM?\nAnswer: 401","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 338?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t + 4 = 4*x - 4, 2*t = -6. Solve -x*q - r = -0*q + 7, -4*r - 10 = 2*q for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30 = -3*x - 12. Let s = 14 + x. Suppose 21 + s = 3*w. Does 7 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -22, -18, -12, -4, 6, 18, 32?\nAnswer: 48","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is three eighths of a gram in milligrams?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) be the third derivative of j**7\/315 - j**6\/20 - j**5\/90 + j**4\/4 + 33*j**2 - 2*j. Factor u(s).\nAnswer: 2*s*(s - 9)*(s - 1)*(s + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2634 + 29009\/11. Let q be ((-538)\/(-12))\/((-6)\/9). Let m = -691\/12 - q. Find the common denominator of m and r.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 698.5325 micrometers to meters.\nAnswer: 0.0006985325","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -85 (b) -2 (c) -48 (d) -4\/3 (e) -0.5 (f) 39\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) be the third derivative of -2*p**2 + 0*p + 0 - 1\/60*p**5 - 1\/3*p**4 - 7\/6*p**3. Does 3 divide l(-6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3.03 + -0.03. Let s = -4 + w. Let c = -1.18285 + -0.31715. Sort c, s, -2\/7 in descending order.\nAnswer: -2\/7, s, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-7 + 5 + 9)*(48*d + 82 - 57 - 20) as k + r*d and give k.\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -4591060 rounded to the nearest one million?\nAnswer: -5000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y**(-3)*y**(-5\/6)*((y\/y**(1\/3))\/y*y)**(-8\/5) assuming y is positive.\nAnswer: y**(-49\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Add -47332 and 115.129.\nAnswer: -47216.871","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -2 + 4 + -5 + 3. Solve -3*h - 5 = -3*n - 2*h, 4*h + 20 = t for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 13921 + -8704. What are the prime factors of v?\nAnswer: 3, 37, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = p - p - 8*p**2. Suppose -5*s + 36 = 11. Let g(a) = 2*a - s*a + a + a. What is g(o(b))?\nAnswer: 8*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:37 AM and 11:01 AM?\nAnswer: 504","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 i when two letters picked without replacement from {i: 11, j: 2}.\nAnswer: 55\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -16 + (26 - -6 - -13).\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1090\/9? (a) 5 (b) 3 (c) 0.3 (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -25644.8915 rounded to zero dps?\nAnswer: -25645","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3999 and 13578.\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 j and 2 u when four letters picked without replacement from {u: 2, x: 4, j: 4, y: 1}.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3508698 by 6.\nAnswer: 584783","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -11244 + 14222. Is d a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -10 + 2131?\nAnswer: 2121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -4631569 times -0.1\nAnswer: 463156.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -9 (b) 78 (c) 3 (d) -1\/8 (e) 2\/7\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 191 minutes after 11:49 AM?\nAnswer: 3:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 116 divide 337297?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -v - 2. Let m be w(-4). Suppose 0*q + 30 = 5*q. Suppose -4*p + 4 = -2*y - q, -5*y = -25. Put 0, m, p in decreasing order.\nAnswer: p, m, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 2, s: 7, p: 1}. What is prob of picking 1 s and 1 j?\nAnswer: 14\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 9834 and 26170062.\nAnswer: 894","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 77502?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 54952?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 3674810 divided by -1837405\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 6007 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) be the second derivative of -w**5\/20 + w**4\/12 + 3*w**2\/2 - 9*w. Let t be p(0). Is -1 - (1 - 439)\/t 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 {k: 2, c: 5, n: 1, j: 3, r: 8, o: 1}. Give prob of picking 1 r and 1 k.\nAnswer: 8\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 60118482.12 rounded to the nearest one million?\nAnswer: 60000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1031 - 292. Suppose -2*v + 31 + h = 0. Suppose 0 = -2*s + 7*s - v. What are the prime factors of s?\nAnswer: 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = 1307*x. Let l(o) = -o**2. Give z(l(a)).\nAnswer: -1307*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = x**3 + 4*x**2 - 54*x - 255. Let s be u(-6). Let a(t) = t**3 + t**2 - 5*t + 1. What is a(s)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*g**2\/7 + 33756376*g\/7 - 142436615081672\/7.\nAnswer: -2*(g - 8439094)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = u**2 - 1. Let n(r) = 5*r**2 + r - 3. Let s be (2\/5)\/((-6)\/(-630)). Let h = 22 - s. Let x = h + 17. Determine x*j(i) + n(i).\nAnswer: 2*i**2 + i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (-6 + (1*-5 - 410\/(-20)))*2\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t - 32 = -12. Sort 0, 5, t in descending order.\nAnswer: 5, 0, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 726 - 4*t**2 + 4*t - 726.\nAnswer: -4*t**2 + 4*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 20989537783 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -16 - -14. Let q = -2 - -1. Is q at most as big as m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2819, -11, -6, 2 in increasing order.\nAnswer: -11, -6, 2, 2819","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -213 + 136. Is j less than or equal to -0.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 71 + -68. Let s be i + 5\/((-10)\/6). Solve s = 4*k - 7 + 27 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.03 - -16.03. Let d = 17.35411228 - 1.354112. Let z = n - d. Round z to 7 dps.\nAnswer: -0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 425.\nAnswer: 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 15 - 11. Suppose 0 = -2*n + n + t*c - 8, 5*c = -2*n + 10. Solve 2*p + 0*p + 10 = n for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 437\/69 - ((-5)\/7 + (-28)\/98)?\nAnswer: 22\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1024 and 64?\nAnswer: 1024","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) be the second derivative of q**5\/20 - q**4\/4 - q**3\/2 + q**2 - 2*q. Let h = 0 + 3. Determine c(h).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jjuujuuu. What is prob of picking 1 j and 2 u?\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -0.057, -119, 0, 0.1, -0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) be the third derivative of w**5\/120 + 2*w**3\/3 + 3*w**2. Let l(k) be the first derivative of o(k). Let t(a) = a**2. Calculate l(t(q)).\nAnswer: q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -g**2 - 1. Let n(d) = 19*d**2 - 2*d - 5*d**2 - 2*d - 9*d**2 - 3. Let z(o) = 6*i(o) + 2*n(o). Let z(l) = 0. What is l?\nAnswer: -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 k and 2 a when four letters picked without replacement from {f: 6, a: 8, k: 3}.\nAnswer: 3\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -r - r - 60 = -52, 12 = -12*x + 3*r for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-122*k**4 - 332*k**3 + 332*k**3)*(-9 - 6 + 0 + 2).\nAnswer: 1586*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1287836934 to the nearest integer?\nAnswer: 35886","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -23 + 25. Suppose -h*n - 24 = -3*n - 4*d, -n = 5*d - 19. List the prime factors of n.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 76302031?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 2049 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 14*824.8\nAnswer: 11547.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) be the third derivative of -f**5\/45 - f**4\/108 + 26*f**2. Let p(l) = 0. What is l?\nAnswer: -1\/6, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 29568 and 128?\nAnswer: 128","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2826 - 2826. Let j(i) be the first derivative of -3*i**2 + 35*i + 1. What is the remainder when j(r) is divided by 9?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -11 + 11 - 2 - 1 + 2*d - 7. What is o(4)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express f + 6*f**2 - 2*f - f - 1 - f**2 + 1 + (-2 - 2 + 2)*(-2*f**2 + 4*f**2 - f**2) + 4 - f**2 - 4 as n*f + u*f**2 + c and give c.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:22 PM and 7:03 AM?\nAnswer: 581","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express 34*x**2 - 69*x**3 + 2*x + 2 + x**4 - 78*x**3 + 279*x**3 - 75*x**3 - 64*x**3 as n + b*x**2 + s*x**3 + w*x + i*x**4 and give b.\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -j**4 - j**3 + 28260*j**2 - 21501701*j wrt j.\nAnswer: -12*j**2 - 6*j + 56520","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -248 + 242. Sort a, -4, 4, -10 in ascending order.\nAnswer: -10, a, -4, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 142 minutes before 6:16 PM?\nAnswer: 3:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l + 26 = p + 5, 30 = 4*l + 2*p. Let z(c) = 4*c**3 + 3*c**2 - 18*c + 17. What are the prime factors of z(l)?\nAnswer: 881","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 15\/9 - 3 - (-136590)\/18?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18\/(-7) - -3 - (-1671)\/21 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.25 - -10.75. Let u = 10.9999942 - y. What is u rounded to six dps?\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -42 - -78. Suppose 0*x - s = -3*x. Calculate the remainder when x is divided by 7.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 186*s + 7114066 - 166*s - 7114065.\nAnswer: 20*s + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -44 - 1?\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -12 - (-2 + 4 + (-25)\/5)\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f = 6*z - z - 5, 4*f + 5*z = 23. Suppose i - f*d = -4, 2*i + d = -3*i + 24. Suppose 60 = i*t + t. What are the prime factors of t?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -4*j - 13. Let i be d(-7). Calculate the highest common factor of i and 15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 17788?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 46\/149? (a) 3\/5 (b) 0 (c) -0.129\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: Let j be (36\/24)\/((-3)\/(-2)). Is -36 - -41 - (j - 256) a multiple of 52?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) be the first derivative of 5*u**3\/3 + 17*u**2\/2 - 6*u - 52. List the prime factors of q(4).\nAnswer: 2, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1094013 is divided by 364625?\nAnswer: 138","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: Work out -15 * -74.\nAnswer: 1110","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -26*-0.91\nAnswer: 23.66","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = 21*f + 148. Let s be z(-7). Let h = -3.7 - -4. Let t = h - 0.6. Which is the smallest value? (a) -1 (b) s (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1015.6 times 0.5?\nAnswer: -507.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/3? (a) 1\/2 (b) 13 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 37\/2530 and -27\/42757.\nAnswer: 427570","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h = -2, -6*o = -8*o + 2*h + 6. Suppose -1 = k - 4*i - 374, 0 = -o*k - 4*i + 1937. What is the units digit of k?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:26 AM and 11:12 AM?\nAnswer: 466","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*k = 2*p + 8 + 10, -5 = -5*p for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 38*g + 156 = 51*g for g.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3 - 4. Let z = -717\/5 + 143. Which is greater: z or o?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 69.317024 days?\nAnswer: 9.902432","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 8.3 - 20. Let f = w + 12. Which is the closest to f? (a) -4\/9 (b) -3 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 14780403 to the nearest integer?\nAnswer: 3845","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (11 - 8 + 4)*(-3*c + 2*c - c).\nAnswer: -14*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d - 2*m + 50 = 0, -4*d = -6*d - 3*m + 35. What is the least common multiple of 56 and d?\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 39001553 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-3)\/42)\/(16\/5600*20).\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3341 - -3346. Solve 10 = w*z - 0*x + 2*x, 0 = -z + 2*x - 10 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 516, 2221, 5060, 9027, 14116, 20321?\nAnswer: 27636","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -145*t = 3*h - 140*t + 17, -2*h + t + 6 = 0. What is the biggest value in h, 2\/3, 0.3, 0.1?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 32736?\nAnswer: 2, 3, 11, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 8080090 to the nearest integer?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -3 + 13*x - 5*x + 4. Suppose -24*a + 13340 = -a. Suppose -587 = 7*u - a. Calculate m(u).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*k + 4*l - 4, 6*k - k = l + 16. Let v = -240 + 247. Find the first derivative of 26*f**k - 16 + 12 - 15 + v*f**4 wrt f.\nAnswer: 132*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1096 times 5\nAnswer: -5480","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*h**3 + 314993*h + 10*h**2 - 157497*h - 157496*h.\nAnswer: 2*h**3 + 10*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.15 + -0.14881. Round t to four dps.\nAnswer: 0.0012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = 342*d - 681. Let p be a(2). Let w(f) be the third derivative of -7\/60*f**5 + 0*f - p*f**2 + 0 - 1\/8*f**4 + 0*f**3. Let b(u) = -u. Calculate b(w(i)).\nAnswer: 7*i**2 + 3*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*f = -7*f - 66. Put -3, f, 5 in ascending order.\nAnswer: -3, 5, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4460 to the power of 1\/2, to the nearest integer?\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 1974645 a multiple of 27?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = 4*l. Let i(g) be the first derivative of g**2\/2 + g + 3. Let y(k) = 2*k**2 - 6*k - 6. Let v(p) = 6*i(p) + y(p). What is f(v(u))?\nAnswer: 8*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1892, 7065, 15758, 27971, 43704, 62957, 85730?\nAnswer: 112023","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*m**2 + 4816*m + 291106.\nAnswer: -2*(m - 2467)*(m + 59)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 649 is divided by 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve x - 4*l = 6 + 9, -x + 3*l = -12 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 572*l = 7747 - 1453 + 8006 for l.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 649448 to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = 3*a + 5. Determine c(8).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = o**2 - 31*o - 90. Calculate the remainder when j(36) is divided by 48.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -i**2 + i + 7. Suppose -16*w - 2353 = -785. Let z be 0\/(10\/(-7) - (-56)\/w). Determine p(z).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -83*h + 97*h + 28 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (sqrt(98) - (sqrt(98) + -1*sqrt(98) + -3 - sqrt(98)) - -3*-2*sqrt(98)).\nAnswer: -28*sqrt(2) - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1174872 is divided by 1366?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 85889 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = 5*u**2 - 6*u - 5 - 4*u**2 + 6*u + 4*u. Let j be p(-5). What is the units digit of 2\/4 - (-1505)\/10 - j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = 6*q - 12. Give d(2).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4*s**3 + s**3 + 5*s**3)*(-23*s + 22*s + 5 - 4) as m*s**4 + t*s + o + l*s**2 + n*s**3 and give m.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -769715901 + -860?\nAnswer: -769716761","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.018044475 rounded to six dps?\nAnswer: -0.018044","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 65\/53724 and -131\/57720.\nAnswer: 6984120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 765299637 a multiple of 38?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = 2*n**3 + n - 1. Let w(y) = -15*y**3 + y**2 - 7*y + 2. What is 7*u(c) + w(c)?\nAnswer: -c**3 + c**2 - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v - 7 = -19. Let m be v - (2 - -2) - 1. Let l(j) = -327*j + 4. Is l(m) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3146 a factor of 28443401?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*j - 5*i - 250 = -0*j - 10*i, -4*i = j - 180 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*n**2 - 785184*n - 785181 = 0. Calculate n.\nAnswer: -261727, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -0.3, 32 in descending order.\nAnswer: 32, 1, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 6985 - -6656. Is d a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -44 - (29 + -30) - -37.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 9 and 99?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -108 in 3\/5, 6\/41, -35?\nAnswer: -35","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d + 3*d + 3*w - 354 = 0, -2*d - 2*w + 700 = 0. Suppose 0*j - 6*j - d = 0. Let s = 146 + j. List the prime factors of s.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 396270720.\nAnswer: 2, 3, 5, 89, 773","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -12*f + 16. Let w(l) = l - 1. Let p(h) = -i(h) - 6*w(h). Calculate the remainder when p(8) is divided by 20.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -158204923.6763 take away -0.3?\nAnswer: -158204923.3763","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 120 - 9*b - 120 to the form u*b + f and give f.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 8 and 132.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3*(7452\/(-8748))\/(3\/63)*12\/(-14).\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 14567310 rounded to the nearest 100000?\nAnswer: 14600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -7792 + 7868. Which is the closest to 2\/7? (a) 10 (b) -2 (c) 0.4 (d) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -60 + 65. Let i(c) = 10*c**2 + 4*c - 4. Let k be i(n). Calculate the highest common divisor of k and 38.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16*q**2 - 20*q**2 + 9*q**2 - 2*q**2.\nAnswer: 3*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 18765 and 1755.\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.01 - -0.29. Let m = -0.5728 + 0.2975. Let g = -0.0753 - m. Put r, g, 5\/3 in increasing order.\nAnswer: g, r, 5\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -16560 divided by 2070\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f = -0 + 6, -g - 2*f = -8. Calculate the remainder when (-1077)\/(-21) + (-2)\/7 is divided by g.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 116\/(-261) - (760\/18)\/(-5)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -38 - 11*n + 7*n - 2*n - 8 - 13*n.\nAnswer: -19*n - 46","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/2 in -0.1, -1\/24, -75, -16\/11, -8\/3?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 3 + -11 + 2 - -7\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = 7*g**2 + 10*g - 2. Let u(n) = -9*n**2 - 11*n + 2. What is -3*q(k) - 2*u(k)?\nAnswer: -3*k**2 - 8*k + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 7\/(-11) + 0\/(-2). Let s = -9\/11 - z. Let v = -3145\/2 + 1572. Which is the smallest value? (a) v (b) -2\/3 (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.325109 + 0.323. What is g rounded to 4 decimal places?\nAnswer: -0.0021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 79668 >= -0.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 389468?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2 + (1\/1 - 0). Suppose -7 = 3*l - 13. Suppose 2*i = -l*i - i. Solve -3*j = i, -3*o + 3 = -v*j - j for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 45\/(-25)*(-40)\/(-90).\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1262636259.\nAnswer: 3, 420878753","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express 287 + 296 - 40*d - 10*d - 547 in the form c*d + h and give c.\nAnswer: -50","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1091 and -0.439?\nAnswer: -478.949","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 16 and 636184.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 2114969681 to the power of 1\/5, to the nearest integer?\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 95070623.\nAnswer: 19, 5003717","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 91.741 + -90.741. Let s = 10\/27 - 161\/216. Which is the nearest to 6? (a) r (b) 0.4 (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -25*a - 24*a - 31*a - 80 + 74*a. What is the remainder when o(-19) is divided by 9?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 20 in 1, -2\/9, -51.5, -0.2, -0.5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1482800 to the power of 1\/2, to the nearest integer?\nAnswer: 1218","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -3*(-8)\/12 - -14. Suppose -13*a + 9*a + v = 0. What is the remainder when 6 is divided by a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*j + 4*b + 18, 39*j + 3*b = 37*j - 5. Solve -12*t - n = -8*t - 18, -3*t - j*n + 16 = 0 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.3 (b) -0.026 (c) -3039736\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*z**4 - z**4 + 11*z**4 + (-z - z**2 + z)*(27 - 27 - 7*z**2) to h*z**4 + d + c*z**2 + n*z + a*z**3 and give c.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*u + 4*p = 30, -125*p + 10 = 2*u - 121*p for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) be the third derivative of o**4\/12 - o**3\/2 + 5*o**2 - 30*o. Give w(1).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 876.\nAnswer: 2, 3, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) be the first derivative of -u**3\/15 - 7*u**2\/10 + 8*u\/5 - 35. Solve g(a) = 0.\nAnswer: -8, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1282387576 to the nearest integer?\nAnswer: 1086","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = 9*c**2 - 14*c + 27. Let n be g(2). What is the second derivative of -10*s + n*s - 129*s**3 - 15*s - 11*s wrt s?\nAnswer: -774*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 118527?\nAnswer: 3, 39509","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h, 1 o, and 2 x when four letters picked without replacement from {o: 1, x: 2, e: 2, h: 1, k: 1}?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 45692 is divided by 5061.\nAnswer: 143","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5 = -u - 2*u + 2*o, -3*u - 4*o - 17 = 0 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 575 a factor of 35275100?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 49578 - 49577.66239. What is y rounded to 2 decimal places?\nAnswer: 0.34","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 123 - 52. Suppose 0 = 4*g + 5*r - 96, 0*g - 4*r = 3*g - b. List the prime factors of g.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 13 - 15. Which is bigger: 0 or f?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) be the second derivative of h**3\/3 - 5*h**2\/2 - 2*h. Let k be n(4). Differentiate -2*t**3 + 2 + 1 + 5*t**k with respect to t.\nAnswer: 9*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 8.6 - 12.6. Let k = 0.2 + 0.3. Which is the second smallest value? (a) k (b) m (c) 3\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -33*v - 14. Let y be g(-9). Let h = y - 158. What is the hundreds digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = 2*x**3 - 10*x**2 + 12*x - 8. Give r(4).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1457427 (base 10) in base 2?\nAnswer: 101100011110100010011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = 6*k + 9. Let f be l(10). Suppose -4*w + 35 = -f. Suppose 4*h + 7*x - 80 = 2*x, 46 = 2*h + x. Which is greater: h or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 6\/102685 (b) -0.6 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 3845019?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Product of 223092 and 36.\nAnswer: 8031312","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 104 + -454?\nAnswer: -350","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -41, 113, -5, 27, -148 in increasing order.\nAnswer: -148, -41, -5, 27, 113","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2535863568?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-221)\/884*(-8)\/6.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) be the first derivative of 0*u**4 + 0*u**3 + 2*u + 0*u**2 - 4 + 1\/70*u**5 - 1\/147*u**7 + 0*u**6. Let s(q) be the first derivative of f(q). Factor s(y).\nAnswer: -2*y**3*(y - 1)*(y + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6645535 = 39*a - 1723904. Is a prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (40\/6)\/((-58)\/(-609)). Let n = w - 19. Calculate the remainder when 200 is divided by n.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-10)\/(-12) + -9 + 6 + 2?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 716925 and 946825.\nAnswer: 3025","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 304, 309, 316, 325, 336?\nAnswer: 349","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -13*c - 806240 + 314489. Is c\/(-3) - 1*-2 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 757 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -4 + 16. Let d = -9 + v. Solve 7 = -3*u + 2*y, d*u + 3*y + 3 - 6 = 0 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -6*x - x**3 + 2*x**2 - 10 - 6*x**2 + 3. Let h be i(-2). Is (-10)\/(-15)*h*-4 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12263312.\nAnswer: 2, 766457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*l**2 - 4*l**3 - 2 + 9*l + 6*l + 4*l**2 - l**4 - 13*l as g*l**3 + c*l**2 + w + k*l**4 + h*l and give w.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1 + 18. Suppose 3*m - 160 = 5*l + 150, 4*m - 175 = 3*l. Let a = 100 + l. Calculate the remainder when a is divided by b.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 15 + 4)*(-122*j + 93*j + 65*j)*(j**2 - j**2 - 4*j**2).\nAnswer: 1728*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 40191 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3236, -3229, -3214, -3191, -3160, -3121, -3074?\nAnswer: -3019","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = 3*a - 1. Suppose -3*u + u = -4. Suppose -u*x + 3 + 1 = 0. Is t(x) a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -28329, -33401, -38471, -43539, -48605, -53669?\n\"Answer: w**2 - 5075*w - 23255","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -209, -423, -637?\nAnswer: -851","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 11\/7 of a week?\nAnswer: 15840","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 1 - -1 - (20 + 0). Let u be (-2838)\/(-27) + 2\/v. Calculate the greatest common divisor of 21 and u.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.204 + -2333.355964902?\nAnswer: -2333.151964902","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o - 3*c = -8*c - 45, 0 = 4*c + 8. Calculate the highest common divisor of 14 and o.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 0, 3.51, -0.4, -1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-136)\/(-35))\/((-6)\/15). Let t = 10 + x. What is the closest to -2 in 0.5, t, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -3, -29, 2\/15, 9414?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.1319 and -205?\nAnswer: 27.0395","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -d**3 + 17*d**2 + 35*d - 302. Calculate z(18).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 375142837 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*z**3 + 3*z**3 - 5*z**3 + (-5*z + z + z)*(2*z**2 + 4*z**2 - 4*z**2) + (-29*z**3 + 9*z**3 + 4*z**3)*(28 - 53 - 30).\nAnswer: 876*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -2140023013 + 4?\nAnswer: -2140023004","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = 7. Let j(y) = 8. Let h(b) = -6*j(b) + 7*z(b). Let v(r) = -2*r + 8. Let i(q) = 6*h(q) - v(q). What is the units digit of i(7)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) be the third derivative of -1\/336*h**8 + 0*h**6 + 0 + 0*h**3 + 0*h**4 - 4*h**2 + 0*h**7 + 0*h - 1\/12*h**5. What is the third derivative of c(x) wrt x?\nAnswer: -60*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 35 by -5.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f = -18*h + 13*h + 125, 0 = -5*f + 5. Solve h*u - 2 = 25*u for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i = -i + 2*l - 74, -3*i = 5*l - 115. Let k be (14\/i)\/(1\/100). Suppose 5*o - 65 = -8*o. What is the highest common factor of k and o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 24\/9*-6*(-225)\/468. Let h = 13235\/1729 - f. Which is smaller: h or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8 - 12 - 9 + 4*n + 32.\nAnswer: 4*n + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 13 + -3. Suppose 0*l = -5*l + m. Put 4, l, -2\/13 in decreasing order.\nAnswer: 4, l, -2\/13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 88 and 256?\nAnswer: 2816","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -52*s**2 - 579*s - 21. Let l be y(-11). Solve 124 + l = 90*v for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 52065 and 904905?\nAnswer: 1046975085","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -204945, -204960, -204969, -204972, -204969?\nAnswer: -204960","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 191*p**5 - 6*p**3 + 151*p**2 + 4*p**3 - 5*p + 2*p**3 - 309*p**5 wrt p.\nAnswer: -7080*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*f**3 - 39*f**2 + 8 + f - 13*f**3 - 13*f + 4 = 0.\nAnswer: -2, -1, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -6.30296 and 8?\nAnswer: -50.42368","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -16229, -16240, -16261, -16298, -16357, -16444, -16565?\n\"Answer: -h**3 + h**2 - 7*h - 16222","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1978 is divided by 329.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -m**2 - 19*m - 11. Let h be k(-11). Let z be 2\/(-14) - (-165)\/h. Let o(u) = -7*u + 11. Let j be o(z). Put 0.3, j, -4, 3 in ascending order.\nAnswer: -4, j, 0.3, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-152)\/48 - 4\/(-24)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -306 + 306.00000258. What is c rounded to six decimal places?\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h + 5*t + 3 = -12, -4*h = 3*t + 26. Is 15\/h - (-2254)\/1 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 15, 26, -35, -204, -517?\nAnswer: -1010","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*n**2*p**2 - 92*n**2*p + 309*n*p**2 - 3*n*p - 26*p**2 + 60 wrt p.\nAnswer: -4*n**2 + 618*n - 52","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*h**2 + 9*h**2 - 6*h**2 - 15*h**2.\nAnswer: -h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l - 3*p - 1441 = 0, 5*l - 1007 - 436 = 4*p. Calculate the remainder when l is divided by 39.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 h when two letters picked without replacement from {d: 1, i: 3, o: 4, g: 1, h: 2}?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 32096 is divided by 1284?\nAnswer: 1280","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 117910 and 3562.\nAnswer: 16153670","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 0.3+-14717.1563\nAnswer: -14716.8563","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 596029 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2095583 (base 11) to base 4.\nAnswer: 32002333002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.1 or 97875?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -2*m**3 - 52*m**2 - 12*m - 50. Let z be d(-26). Suppose 6 = -2*u, -5*p + 4*u + z + 1590 = 0. What are the prime factors of p?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k = -2*n + 40, -2*n = 3*k - n - 32. Let j = k + -6. Let i be 4*2 + j + -3. Solve 5*l - 4 - i = 0 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 282 and 120.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 - 5*d**3)*(0 - 1 - 9)*(-2 - 3 + 4)*(6 - 6 - 2*d + (1 + 3 - 1)*(d - d + 4*d) + 1 - 1 + 3*d).\nAnswer: -650*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23 = -4*c - 7. Solve -3*y + 32 = c*q, -45 = -0*q - 5*q - 5*y for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 471, 474, 489, 522, 579, 666, 789?\n\"Answer: r**3 - 4*r + 474","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g - 5*g + 44 = 0. Let c(n) = -n**2 + 7*n + 13. Let w be c(9). Let p = g + w. Is 6 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.006661164461 rounded to 5 dps?\nAnswer: 0.00666","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 6 * 7.165\nAnswer: 42.99","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -154.5892 to zero dps.\nAnswer: -155","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -8115072 divided by -579648?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4 plus 108517?\nAnswer: 108516.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 2482 to the power of 1\/2, to the nearest integer?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 less than 19\/7007?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 1, c: 1, v: 3}. Give prob of picking 1 v and 1 c.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1\/77, -0.3, 1, 0.053, 2?\nAnswer: -1\/77","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = q - 3. Is q even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 322736 to the power of 1\/3, to the nearest integer?\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j*j\/j**(-12)*j**(-3)*j assuming j is positive.\nAnswer: j**12","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n = 20 + 125. What is the remainder when n is divided by 6?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence haa when three letters picked without replacement from {a: 4, h: 15}.\nAnswer: 10\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*l + 2*l**2 + 2*l)*(-5*l - 115 + 103 + 3*l)*(-2 + 4 - 4).\nAnswer: 8*l**3 + 48*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -293, -279, -267, -257, -249, -243, -239?\nAnswer: -237","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 52878?\nAnswer: 2, 3, 7, 1259","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -4*((-105)\/252)\/(2\/6)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 55245*0.01\nAnswer: 552.45","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -1685*n**2 - 70*n - 317105?\nAnswer: -3370*n - 70","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -42, -84, -124, -162, -198?\nAnswer: -232","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 14683?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*w = 3*o + 27, -29*o = -33*o + 3*w - 36 for o.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -841, -848, -867, -904, -965, -1056?\nAnswer: -1183","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -22*s**3 + s**2 - s + 1. Calculate p(1).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = 2*w. Let m(x) = 9*x**2 + 2*x + 783. Let t(a) = a**2 - a - 2. Let y(g) = -m(g) - 2*t(g). Calculate y(n(p)).\nAnswer: -44*p**2 - 779","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -9.1022 - -0.1\nAnswer: -9.0022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = x**3 - 4*x**2 - 8*x - 18. Let y be r(6). Solve 0 = -k + y*k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2\/181 + -191\/905. What is the nearest to 1 in 2, f, -1?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3866 + -3852. Let z(r) = r**3 - 13*r**2 - 12*r - 15. Calculate z(s).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + (11 - (-4 + 11)) + -2?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 11559593 to the nearest ten thousand.\nAnswer: 11560000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 5*j*m**3 + 2*j*m**2 + 200176*j*m - 25*m**3 + 3*m**2 - 5*m wrt m.\nAnswer: 30*j*m + 4*j - 150*m + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -p**2 - 6*p - 2. Let o be r(-5). Suppose o = 2*d - 33. Suppose 0 = 2*g - d. List the prime factors of g.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -23592763 at least -23592762?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 91\/10 and 113\/107850160.\nAnswer: 107850160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -19\/26? (a) 4 (b) -40 (c) 4\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qhnhnhqqnqqqoqnhonq. Give prob of picking 1 h, 1 n, 1 o, and 1 q.\nAnswer: 80\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = d**3 - 4*d**2 - 5*d + 3. Let v be u(5). What is the units digit of (v\/2)\/(12\/80)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5 + 25922\nAnswer: 25927","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 344 divided by -8.\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t + 25 = 5*m - 63, m + 2*t - 20 = 0. Let l = m - 10. Suppose -z**2 + 3*z**2 - 2*z + l*z = 0. What is z?\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -m**3 - 5*m**2 + 4*m + 10. Let d(q) = -q + 9. Let v be d(10). Let f be (7 - 1)*v - 1\/1. Is 16 a factor of n(f)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 22280 + 1?\nAnswer: 22281","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -l**3 - 5*l**2 - 3*l + 3. Let z be a(-4). Let k be 3 - (-2 - -7 - 0). Which is smaller: k or z?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 18088252.\nAnswer: 2, 7, 13, 31, 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = 746*b - 3633. What are the prime factors of v(17)?\nAnswer: 9049","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 51 at most 24?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*k**2 + k + 4*k**3 - 6*k**3 - k**2 to the form y*k**2 + v*k + s + w*k**3 and give y.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (20 - 0 - 39) + 0.\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -34615417 + 34615374.9999975. Let h = v - -42. What is h rounded to 5 dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 43266827?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = -4*r, -3*r - 92 = -j - 0*r. What is the tens digit of j?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q = -3*n - 76, 2*n + 2*q + 136 = -3*n. Suppose -2*b - 2*j + 68 = 0, -3*b = 5*j - 53 - 59. Let l = b - n. List the prime factors of l.\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 2, n: 2, e: 3, t: 5, z: 3}. What is prob of picking 2 e and 2 z?\nAnswer: 3\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3206*x + 62114 - 248062 = 0 for x.\nAnswer: 58","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 36331 and 2690813.\nAnswer: 773","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -6902 - -20336. What is the thousands digit of v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3 - 4*i**5 - 3122*i**2 + 3101*i**2 + 3 wrt i.\nAnswer: -240*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -21 + -16 - (-30 + 10).\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (sqrt(9) + sqrt(225))\/sqrt(3).\nAnswer: 6*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1123 - 13313120?\nAnswer: -13311331","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0887968 rounded to 4 decimal places?\nAnswer: 0.0888","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (2\/(-620))\/((-84)\/(-140123994)). Let l = 10797\/217 + h. Let m = l - -5328. Find the common denominator of m and -89\/10.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 83*f - 2*f**3 - 89*f + 2 - 2*f**3 - 3 to the form o*f + b*f**2 + w*f**3 + x and give x.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1224 divided by -2.\nAnswer: -612","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*(0 + sqrt(17)) - sqrt(17) - (sqrt(153) + -3)) + (sqrt(1700) + 1 + sqrt(1700))*3*1)**2.\nAnswer: 696*sqrt(17) + 57224","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4)\/(-40)*1*(-13)\/13?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 14233554 - -21?\nAnswer: 14234015","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2394*y + 794*y + 792*y + 805*y.\nAnswer: -3*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -3*q - 12. Let b(s) be the second derivative of s**3\/6 + 2*s**2 + 33*s. Calculate -2*a(i) - 7*b(i).\nAnswer: -i - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -28, -4, -2, 1475 in increasing order.\nAnswer: -28, -4, -2, 1475","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -51, -74, -103, -132, -155, -166, -159, -128?\nAnswer: -67","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 250 minutes before 9:54 AM?\nAnswer: 5:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 17 + (6 - 14) - 0\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 1 + 0 + (3 - 3 + 1)*(3 - 1 - 4) + (2 - 4 + 4)*(-4 + 3 + 0) - 1 + 1 + 4 + 2 - 2 + 3)*(0*a**5 - 3*a**5 + 0*a**5) + 3*a**5 + 35*a**5 - 10*a**5.\nAnswer: 13*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 2246\/38 + 75\/((-17100)\/24). Solve -64*x + b*x = -5, w + 3*x = 2 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 147 (base 15) to base 13.\nAnswer: 196","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9*13.19.\nAnswer: 118.71","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 17c + -277c43?\nAnswer: -277a94","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -578*d*v**6 - 85*d*v**5 + 4*d*v**2 + 524*d wrt v.\nAnswer: -69360*d*v**3 - 5100*d*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -50142*g + 30 - 180 + 50143*g.\nAnswer: g - 150","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ffnn when four letters picked without replacement from nfaufnfnnunaffnffn.\nAnswer: 49\/2040","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 186 - -106. Let t = s - -189. List the prime factors of t.\nAnswer: 13, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q = 2*f - 39, 5*q + 4*f - 54 - 13 = 0. Solve q*l = -16 + 5 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -l**2\/2 - 77187*l\/2 - 694521.\nAnswer: -(l + 18)*(l + 77169)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -6*t + 130. Suppose w - 3*c = 0, 4*w - c - 22 = -0*w. Calculate the least common multiple of p(20) and w.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -b + 7 = -4*a, 58*b - 49 = 4*a + 59*b - 32 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m = -3*k + 63, 2*k + 2*k - 91 = -m. Factor k*n + 93*n**2 - 1 - 51*n**2 - 2*n**3 + 5 + 34*n**3 + 8*n**4.\nAnswer: 2*(n + 1)*(n + 2)*(2*n + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 19, 201, 525, 967, 1503, 2109?\n\"Answer: -4*b**3 + 95*b**2 - 75*b + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 8, y: 3, l: 1, n: 5, d: 3}. What is prob of sequence da?\nAnswer: 6\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -i**3 + 18*i**2 - 10*i - 127. Let r be h(17). Sort 7, r, 5 in decreasing order.\nAnswer: 7, 5, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -407 - 517 = -44*u. Solve 28*g - u*g = 28 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1.02 + 0.52. Put 7, -2\/7, r in ascending order.\nAnswer: r, -2\/7, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 197 a factor of 11820?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2540869?\nAnswer: 2540869","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 203 + -95. Calculate the highest common divisor of 36 and o.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (9\/2)\/(7*(-2)\/(-84)).\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = 6*m**2 + 21*m + 45. Let j be h(-37). Let r = j + -4925. Is r composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 h when four letters picked without replacement from {h: 12, n: 1}?\nAnswer: 9\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1212 + -1205. Let x = -276\/1625 + 2\/125. Sort x, k, -5, 4.\nAnswer: -5, x, 4, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert b (base 16) to base 4.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = 3*z + 7. Suppose -5*l + 4*u + 71 = 0, u + 35 = 5*l + 6*u. What is the remainder when i(l) is divided by 7?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -165 - -281. What is the second derivative of -92*u**2 + z*u**2 + 169*u + 2*u**4 - 96*u**2 wrt u?\nAnswer: 24*u**2 - 144","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-30)\/(-8))\/((-9)\/(-36)). Suppose 3*v + 0*v = -2*i + 65, -3*i - p = 0. Let w be v + 0 - (-2 - -2). Solve 4*m - w = -r, -2*r + 7*r - 15 = 2*m for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 730, 1456, 2178, 2890, 3586, 4260?\nAnswer: 4906","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -200 divided by 5\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is seven quarters of a micrometer in nanometers?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (18*385\/12936)\/(3*2\/64)?\nAnswer: 40\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 6\/25 of a litre?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12 = 3*i + 7865*t - 7866*t, t = 2*i - 11 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2686 and 4187.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -18 + 20. Suppose -1796 = -54*r - 716. Solve -5*d = 2*y + j*y - r, -3*y - 4*d = -16 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.06 minus -2237527302397?\nAnswer: 2237527302396.94","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -15311324 (base 6) to base 14\nAnswer: -1001b6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*w + 3*c - 12, -3*w + 5*c = -4*w. Let q = 0 - 0. Factor -1\/2*z**4 - 1\/4*z + q + 1\/4*z**w + 0*z**3 + 1\/2*z**2.\nAnswer: z*(z - 1)**3*(z + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qkjtfff. Give prob of sequence fktf.\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -5 - 137?\nAnswer: -144","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 41213040?\nAnswer: 2, 3, 5, 11, 67, 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*u**5 + 36*u**4 + 52*u**3 - 180*u**2 - 200*u.\nAnswer: 4*u*(u - 2)*(u + 1)*(u + 5)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -7\/2 in 18, 4, -7, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = w**3 - 6*w**2 + 8*w - 8. Let l be h(5). Let s = l + -3. Suppose 5*i = s*i. Solve k - 2*k - 1 = i for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -23920, -23935, -23974, -24049, -24172, -24355, -24610?\nAnswer: -24949","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6 + -10 + 4 + (1 - 6)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w = -10*w + 96. Let h(n) = n + 6. Suppose 0 = 4*f - 0 - 40. What is the smallest common multiple of h(f) and w?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -v**3 + 5*v**2 + 5*v + 12. Let n be -3 + 2 + -4 + 11. Let x be i(n). Suppose 0 = -x*u + 9*u - 243. What is the units digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -20 - -22. What is the third smallest value in -0.2, o, -3?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) be the first derivative of 2\/3*a**6 + 0*a - 4*a**5 + 52\/3*a**3 - 3*a**4 + 152 + 20*a**2. Factor c(n).\nAnswer: 4*n*(n - 5)*(n - 2)*(n + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 10 and 89?\nAnswer: 890","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 2, u: 2, n: 1, a: 1}. What is prob of sequence puun?\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 15708637 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 45491782 rounded to the nearest ten thousand?\nAnswer: 45490000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-1337)\/(-21))\/(4\/(-12)). Let k = 202 + s. What is the lowest common multiple of k and 27?\nAnswer: 297","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uqquququuqquuuuq. Give prob of sequence quq.\nAnswer: 9\/80","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1480 + 3055. Suppose -2*c - 3*q = -353, q = -3*c + c + 355. Let z = b - c. Is z a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 20816*k + k**2 - 20816*k + 3*k**2.\nAnswer: 4*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (96\/36)\/(226\/(-339))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is u in 10*u**5\/3 - 34*u**4\/3 + 22*u**3\/3 + 26*u**2\/3 - 32*u\/3 + 8\/3 = 0?\nAnswer: -1, 2\/5, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/797 less than or equal to 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -56814 times -0.3?\nAnswer: 17044.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 1, y: 4, q: 2, d: 1}. What is prob of picking 1 d and 2 y?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-7)\/((-2)\/(2 - 0)). Let y(w) = -w**3 + 7*w**2 + 2*w + 6. What is the remainder when y(f) is divided by ((-1)\/(-3))\/((-4)\/(-132))?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 941 is divided by 491.\nAnswer: 450","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 25 and 294800?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.4 in -5, 3\/2105, -4, 224\/5, -1\/5?\nAnswer: 3\/2105","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 5 + (1 - (-5 - -9))\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 47100 and 200?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + (sqrt(3500) + (2*sqrt(3500) + sqrt(3500) - sqrt(3500)) - sqrt(3500))\/(-2*(sqrt(45) - sqrt(5))))**2.\nAnswer: -10*sqrt(7) + 176","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j = -4*n + 36, 2*n - 23 = -8*j + 11*j. Suppose 306 = 5*i - n*i. Does 17 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -5 + -1875445?\nAnswer: -187544a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 694512 divided by -2544?\nAnswer: -273","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*v + 4*x + 8, 0 = v - 5*v - 4*x - 8 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -10 - -20. Let v = -6 + h. Calculate the remainder when 10 is divided by v.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1 - -1. Suppose -88 = -g*q - 2*q. Let a = q + -22. Calculate the remainder when a is divided by 8.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((0 + sqrt(117) + -1)*-3 + 1 - (3*sqrt(156)*1)\/(sqrt(24)\/sqrt(2)*4)*-3)**2.\nAnswer: -54*sqrt(13) + 9733\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -6*b - 0. Let x be (29\/(-3))\/(4\/(-24)). Let t = x - 237\/4. What is the second biggest value in -7, b, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x = -5*s + 49, -38 + 13 = -5*s. Let k(y) = y**2 + 7*y - 1. Let m be k(-6). Let a = m - x. Solve -4*b - 3*o = 17, a*b + 4*o + 12 + 9 = 0 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -5.6 - -82.6. Let t = -111 + y. Let m = t + 34.00031. What is m rounded to 4 decimal places?\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 51468046 to the nearest integer?\nAnswer: 372","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 0.6, 30, 0.03, -5 in decreasing order.\nAnswer: 30, 0.6, 0.03, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*(sqrt(78) - (1*sqrt(78) + sqrt(78))))\/(sqrt(18)\/(1*sqrt(3)))*-2)**2.\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*b + 0 + 0)*(-b + 4*b - b) + (-2 + 2 + b)*(b + b - 4*b).\nAnswer: -6*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*z - 12 = -4*z. Suppose 47 = -z*l + 5*h, -5*h + 49 = -5*l - 4*h. Suppose 2100 = -1409*w + 989*w. Which is the smallest value? (a) l (b) 1\/2 (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 238792? (a) 4 (b) -2 (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 15831, 4, -1, 0.\nAnswer: -1, 0, 1, 4, 15831","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**(-12)\/((h\/(((h\/h**9)\/h*h)\/h))\/h))\/(h*(h\/h**(5\/3))\/h*h\/h**4))**(1\/24) assuming h is positive.\nAnswer: h**(-13\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*f - 11*f - j = 12, 5*j = -3*f - 9 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = 3*m - 1 - 2*m - 3. Let p be t(9). Suppose -2*l + p + 11 = 0. List the prime factors of l.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 107\/22 and 95\/84.\nAnswer: 924","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 204004984\/20*30\/(-12). Let l(q) = 22350313*q + 3. Let w be l(-2). Let n = w - a. Round n to the nearest one million.\nAnswer: -19000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -102*x + 106*x + 24 for x.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kcf when three letters picked without replacement from khkpkhckkhkf?\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 15*g - 25 - 50. Suppose 2*n + 5*s - g = -11, -5*s - 55 = -5*n. Solve -b = -n + 2 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 69749 is divided by 22?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 132016, 1051069, 3545640, 8403487, 16412368, 28360041, 45034264, 67222795?\nAnswer: 95713392","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1.126 + 2.9.\nAnswer: 1.774","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 674, 1336, 1988, 2630, 3262, 3884, 4496?\nAnswer: 5098","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 6164791142?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = m**2 + m - 9. Let d be (-2)\/15 - (-4)\/30. Calculate o(d).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 1125 and 467517.\nAnswer: 468642","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.0694283 - 2.9305617. Let n = 3.08 + -0.08. Let z = c + n. What is z rounded to four decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5 divided by 958\nAnswer: -5\/958","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 249 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Add together -20.28 and -1.8.\nAnswer: -22.08","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*o - 3*o + 7*o)*((o + 3 - 3)*(o + 1 - 1) - o**2 - o**2 - o**2).\nAnswer: -18*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1 = 2*u - 213*i + 212*i, 0 = -7*u + 2*i + 14 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -16 + 10. Let i(u) = -u - 2. Let f be i(y). Suppose -f*d = -4*z + 28, -z = -3*d + d - 7. What is the units digit of z?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -421 less than 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Do 59\/1082 and 0 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1.3 + 6.7. Let m = c + -8. Sort m, -2\/7, 2 in increasing order.\nAnswer: -2\/7, m, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bioi when four letters picked without replacement from bijivjoijmbojjbjomo.\nAnswer: 1\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -6 - -17. Suppose -b = -2*s + 1, 0*b - p = -s - 3*b. Let u(c) = -2*c**2 + 16*c - 21. Calculate the remainder when u(6) is divided by s.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:31 PM and 6:07 PM?\nAnswer: 36","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 605682102, 605682101, 605682100?\nAnswer: 605682099","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(65)\/(sqrt(25)\/sqrt(605)).\nAnswer: 11*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*o - 20 + 2*o**3 - 18968*o**2 + 18968*o**2 to w*o**2 + j*o**3 + t + n*o and give j.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 14 - (8 + -6) - 11.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k - f - 73 = 0, -k - 2*f + 20 = 3*f. Let t be k\/(0 - (-2 - -1)). Calculate the highest common factor of t and 14.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -19427*d**3*n*x - 67*d**3*x + 2*d**3 + 3*d*x - n*x wrt n.\nAnswer: -19427*d**3*x - x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 235 = -5*k - 2*w, -14*k - 24323*w + 24321*w - 640 = 0 for k.\nAnswer: -45","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -2 + 5 - 75\/27. Let a(y) be the first derivative of -2\/15*y**5 - 1\/6*y**4 + 0*y**2 + 0*y + 1\/9*y**6 + 2 + r*y**3. What is l in a(l) = 0?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 2 + 12\/((-2 + 1)\/1). Let s(i) = -i**2 - 7*i + 23. What is s(a)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -25\/107919 and -55\/15417.\nAnswer: 107919","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.1186 - 0.0791. Let j = 1.0395 - y. Which is the third smallest value? (a) j (b) -0.1 (c) 22.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -223247.402553+0.1\nAnswer: -223247.302553","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 1, w: 1, k: 1, i: 2}. Give prob of sequence iai.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3 - -4. Suppose 0 = -3*p - c + 7, 0 = -2*p - 4*c + 8. Suppose -2*b + q = -4 - 4, -p*b - 2*q = -14. Solve -4*x = d - b for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -38 - -53. Let z = -3 - -5. Let d(l) = -l**3 + 2*l**2 - l + 2. Let j be d(z). Solve j*o - h = -5*o for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -16 + 4 + 51*a - 3*a. What is the tens digit of t(6)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 94b85 (base 12) to base 10\nAnswer: 195221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1060267 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(2\/7)*o)**(13\/5)\/(o*o**(-2)*o*o*o*(o\/(o*o\/(o**(-4\/9)\/o)))\/o)*((o\/(o**(-3\/11)\/o))\/o*o\/o**(2\/21))**(-3\/52) assuming o is positive.\nAnswer: o**(839941\/180180)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 4714.11 rounded to the nearest 100?\nAnswer: 4700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor k**2\/3 - 11*k\/3 - 34.\nAnswer: (k - 17)*(k + 6)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -66 + 61. Let s be (-3 - 18\/z)\/(3\/(-15)). Let a(x) = -4 - x**2 + 2*x**3 - x**3 + 5*x**2 + x. What is a(s)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -l + 59. Calculate n(10).\nAnswer: 49","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 648 and 139401?\nAnswer: 1115208","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4773978 is divided by 3486.\nAnswer: 1644","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 968*i - 19596 = 34086 + 21822 for i.\nAnswer: 78","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -181\/6480 and -29\/2390400.\nAnswer: 21513600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Determine h so that -3*h**2\/4 - 39771*h\/4 - 672639 = 0.\nAnswer: -13189, -68","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1872246?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -205136 - 116895 - 20088 + 80884 = 4019*d for d.\nAnswer: -65","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 510675?\nAnswer: 3, 5, 11, 619","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -9325, -9332, -9337, -9340, -9341, -9340?\nAnswer: -9337","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -2*k**2. Let v(b) = -5*b - 12. Let t(s) = 11*s + 26. Let h(m) = 6*t(m) + 13*v(m). Determine h(w(p)).\nAnswer: -2*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:23 PM and 10:03 AM?\nAnswer: 700","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 31 and 4247.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -t - 4 = 23*v - 27*v, 20 = 4*t - 4*v for t.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 304760?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 81\/(-30)*76830\/391833.\nAnswer: -9\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6 = -x - 4*c - 4, 10*x - c + 9 = 29 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = 822 - 1588 + 824 + 5*c. Determine n(-22).\nAnswer: -52","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -26, -165 in ascending order.\nAnswer: -165, -26, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-444)\/(-20) - (-1)\/(-5). Let h = b + -20. Solve 6 = -h*n - 0 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*a**3 + 3240*a**2 - 82884*a + 514360.\nAnswer: 4*(a - 14)*(a - 11)*(a + 835)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(40)*1*6)\/sqrt(8) + ((3 + sqrt(180))*5)**2.\nAnswer: 906*sqrt(5) + 4725","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -86 + 76 - (-14 + 0)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -104*m + 106*m + 5*w = -292, 616 = -4*m - 2*w. Put 1, m, 0 in ascending order.\nAnswer: m, 0, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -3\/8, -0.02, 3, -3, 64, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -2101c - 3?\nAnswer: -21022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -61 + 66. Suppose 35 = 4*s - a*z, 4*s + z - 12 = 5. What is the second derivative of -15*f**s - 4 + 9*f - 17 + 21 wrt f?\nAnswer: -300*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = 339*b - 5. Let o(x) = 2*x**2 - 1071. Determine h(o(j)).\nAnswer: 678*j**2 - 363074","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 129*t + 989 - 344 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*k - 29 = 5*t, 379*t = -3*k + 382*t + 18 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 374 + -311. Suppose 18 = r*w - 54*w. Let 4\/15*y + 0 + 2\/15*y**w = 0. What is y?\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 2, r: 2, d: 6, t: 4, m: 2, h: 4}. Give prob of picking 1 h, 1 d, and 1 x.\nAnswer: 4\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -18 and -7\/596.\nAnswer: 596","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand 31*h + 5*h + 14*h + 0*h + 4*h - 3*h - 2*h + 3*h + 0*h + (-2 - 2*h + 2)*(2 - 3 + 3) + (0 - h + 0)*(0 - 2 + 3) + 9*h - 3*h + 5*h.\nAnswer: 58*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 72178 and 135991.\nAnswer: 239","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -844, -1593, -2342?\nAnswer: -3091","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -110*r + 109*r + 4. Solve 4*j = 4*b + r, 2*b - 16 = -2*j - 2*j for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u + 206793 = 5*a, 15530 + 25788 = a + 5*u. Is a prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = j - 9. Let w be y(-15). Calculate the smallest common multiple of 17\/4 - (-6)\/w and 10.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2992 divided by -22.\nAnswer: -136","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -47, -95, -143?\nAnswer: -191","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + 3 = -4*s, 2*f - 4*s = -0*s + 6. Suppose 2*p + 6*t = t + 1091, 15 = f*t. What is the tens digit of p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 119705?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 176391597 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 5, 12 in descending order.\nAnswer: 12, 5, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*d - 4*d + d + (2 - 1 + 1)*(-2*d - 4 + 4) + (-2 + 0 + 3)*(-2 - d - 2 + 3).\nAnswer: -6*d - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -2397 (base 10) in base 14?\nAnswer: -c33","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.8 - 0.3. Let r = -289639 + 289640. What is the nearest to r in -0.07, -0.3, 0.1, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ehxqxxqxexqxqqxqqqt. Give prob of picking 1 h and 1 x.\nAnswer: 7\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -27*f**3 - 44 + 15*f**3 + 13*f**3.\nAnswer: f**3 - 44","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = m**3 - 35*m**2 + 67*m - 36. Let g be z(33). Sort g, 2, 3, -74, -2.\nAnswer: -74, g, -2, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*s - 2*s + 2*s)*(6 - 7 - 1) + 0 + 0 + 3*s + 1.\nAnswer: -s + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:57 AM and 2:25 PM?\nAnswer: 388","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 6 and 93.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 8\/10*15\/6. Suppose 4*b + 20 = 2*z, 5*z - c*b - 5 - 13 = 0. Let g(o) = -1 - o**2 + z - 3 + 5*o. Calculate g(3).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -26 - r + 2*r + 9*r. What are the prime factors of d(6)?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 396306821 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o - 8 = 0, -r = o + 7 + 3. Let p = 6 - r. Calculate the highest common divisor of 8 and p.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5*sqrt(154)*-4)\/sqrt(7))\/(sqrt(2) + 1*sqrt(4)\/sqrt(2) + sqrt(6)\/(1*sqrt(3))).\nAnswer: 20*sqrt(11)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*l + 3*u + 6, -296*l = -293*l + u for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -2 - 8*r + r + 6*r - 5. What is u(-8)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1)\/((-10)\/5))\/(5\/(-10))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 + -1 + -14 - (-6 - 13).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/25 of a litre in millilitres?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -f + 119 + 45. Let h be -3 + (2 - -1) - 4. Find the common denominator of -65\/6 and f\/7*1\/h.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -31, -42, -65, -106, -171, -266, -397?\n\"Answer: -i**3 - 4*i - 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -18661, -37383, -56093, -74791, -93477?\n\"Answer: 6*o**2 - 18740*o + 73","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w - 22 = -5*u, -4*u + 1 = w - 4. Suppose 0 = 3*g - 3*m + 15, -3*g + 0*m = -u*m + 10. Solve o + 4 = -g*o for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -2*j + 38. Calculate the remainder when g(-8) is divided by 8.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 2 (b) -0.3 (c) 0.1 (d) 5\/9 (e) -5 (f) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*v + 126 - 7336 = -223*v for v.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.8894488 rounded to 3 dps?\nAnswer: -0.889","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 998209 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-g + 7*g + 4*g)*(-1 + 1 - 2*g) + (-3 + 4 - 4)*(-3*g**2 - 4*g**2 + g**2).\nAnswer: -2*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -49*m + 1008 = -101*m - 74*m for m.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2927 + 2929. What is the biggest value in -63\/2, d, 5, -1?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 5, 2\/9, -1, -2\/7?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 - -14 - (-7 + 8 + (-2 - -4)).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uuva when four letters picked without replacement from aaaaaaauaaauvvuaauu.\nAnswer: 5\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -g**2. Let z(h) = -17399*h. Calculate j(z(c)).\nAnswer: -302725201*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 20095 a multiple of 103?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = 3*g**3 - 14*g**2 + 3*g + 12. Calculate w(6).\nAnswer: 174","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 18589 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*s + y - 4*y - 8, 4*s + 5*y - 40 = 0. Suppose -s*x - x = -222. What is the remainder when x is divided by 19?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 9777 and 246?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 198 and 88?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = 8*o. Let j(n) = -168*n**2 - 170*n**2 + 346*n**2. Calculate l(j(u)).\nAnswer: 64*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2900 and 108344.\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -181762, -366154, -550546?\n\"Answer: -184392*y + 2630","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 414 minutes after 9:19 AM?\nAnswer: 4:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1620*s**3*t**4 + 15*s**3*t**2 - 59*s*t**2 - 3*t**4 wrt t?\nAnswer: 38880*s**3*t - 72*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1670 - -1672. Let q be (2\/(-15))\/(12\/(-105)). Which is smaller: q or s?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4651808 by 112.\nAnswer: -41534","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**16*y)\/y*y**(-3\/2)\/y)**(2\/29) assuming y is positive.\nAnswer: y**(27\/29)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -34 - (-11 + 0) - (-231 + 113).\nAnswer: 95","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 - (0 + 5 + -12 - 14)?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 26 + (5 - -2) + (117 - 46)\nAnswer: 104","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-72)\/(-20)*(-275)\/(-110).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 51\/4 - (-4 + 19\/((-228)\/(-45)))?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -3*m + 33. Let r(i) = -i + 17. Let d(y) = -2*h(y) + 5*r(y). Let v be d(-18). Let c(b) = -7*b**2 + 1. What is c(v)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by 41027.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 0.4, -0.6, 0.1, -1\/4?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = 4*r**2. Let c be (-6)\/9 + (-15)\/(-9). Let k(y) = 4*y**2 - 20*y + 20. Let m(t) = t - 1. Let a(l) = c*k(l) + 20*m(l). What is a(i(p))?\nAnswer: 64*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = 2*o. Let r(k) = -28568675*k**2. Determine a(r(u)).\nAnswer: -57137350*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = w - 0*w - 36. Let h(o) = -11*o - 12 + 44 + w. Is h(-22) a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1069.2 + -1069. Which is the second smallest value? (a) -4 (b) -2\/11 (c) -56 (d) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -268548 (base 15) to base 2.\nAnswer: -111000011110101000101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 (base 13) in base 6?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 38336*h**5 - 1574*h**4 - 2*h**2 + 3*h + 3194044 wrt h?\nAnswer: 2300160*h**2 - 37776*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 125 + 2629. Does 18 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -4604.32095 + 4589.32. Let f = 7 + -22. Let w = f - a. Round w to 4 decimal places.\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = 8*j**2 + 4*j - 3363. Let f be s(-64). What is the highest common factor of 283 and f?\nAnswer: 283","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -11 + 17 + -38 - -18?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = 57223*j + 9. Let q(i) = -1959881*i - 308. Calculate -308*b(g) - 9*q(g).\nAnswer: 14245*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -14*r - 23. Let c be b(-2). Let x be ((-35)\/(-14))\/(c*1\/3). Let 15\/8*h**2 - x + 0*h**3 - 3\/8*h**4 + 0*h = 0. What is h?\nAnswer: -2, -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 5, y: 7}. Give prob of sequence yt.\nAnswer: 35\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k = 3*b - 5, -9*b + 14*b - 17 = k. Solve -b*l - l = -4 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 divided by 12.\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 50354948.7 minutes to weeks.\nAnswer: 4995.530625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 162032 rounded to the nearest 10000?\nAnswer: 160000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(70)\/(sqrt(10) - sqrt(160))*2 - (sqrt(49)\/sqrt(112) + -2)**2.\nAnswer: -71\/16 + sqrt(7)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -d**3 + 12*d**2 + 84*d - 5. Let s be r(-5). Suppose s = 3*o + 2*v - 16825, -3*o - v + 15615 + 1211 = 0. Is o a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-4)*c**(1\/9))**(-26\/7)\/((c\/(c*c**(-1)*c*c))**(-4))**(-2\/3) assuming c is positive.\nAnswer: c**(154\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 5 + 3340?\nAnswer: 3345","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5)\/((-75)\/18)*(-5)\/(-2).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) be the third derivative of -13*o**4\/12 - 2*o**3 - 2*o**2 - 27*o. Calculate the smallest common multiple of 30 and r(-2).\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1505, 3012, 4519, 6026?\nAnswer: 7533","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = 4*b**2 + 13*b - 13. Let p(l) = -6*l - 1 + 2 + 5 - 2*l**2. Let q(m) = -9*p(m) - 4*r(m). Let f be q(1). Is 1 greater than f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 572\/(-12)*(-684)\/2508.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25*v = 6*v - 9884 + 10690 for v.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = o**2 - 9 - 6*o - 8*o + 10*o. What is the units digit of x(10)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -23*p - 1110 + 1248. Calculate the greatest common factor of 177 and p.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2 - 1) + -5 + 75\/9?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from bwivdzv. What is prob of picking 1 d, 1 b, 1 i, and 1 z?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 184 a factor of 2361992544?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2 - 3. Let h be 132\/(-63) - (-12)\/28 - -1. Which is the biggest value? (a) -4 (b) s (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*k*u**5 + 2288*k*u**4 - k*u**2 - 25046*k + 2*u**2 + 6 wrt u?\nAnswer: -120*k*u**2 + 54912*k*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is -19.1 < 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 2324747735 a multiple of 145?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3 or 129\/68?\nAnswer: 129\/68","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -92*q**3 + 6*q**2 + 206*q**3 + 1 + 4 + 2*q**2 + 0 - 110*q**3.\nAnswer: 4*q**3 + 8*q**2 + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence afay when four letters picked without replacement from {y: 1, f: 3, a: 3}.\nAnswer: 3\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 910 to the power of 1\/6, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.131 - -0.130745. Round j to 5 decimal places.\nAnswer: -0.00026","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*n - 192*v + 187*v + 2, 5*n = -v - 5 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -p + 5. Let r be m(5). Suppose -5*z + z - 36 = r. Let k(b) = 135*b**2 + 5*b + 10. Let n be k(z). What is n rounded to the nearest one thousand?\nAnswer: 11000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 58 - (-23)\/((-1863)\/(-1458))?\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1180 is divided by 119?\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 86 and 122.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = y - 4. Let g be j(8). Solve -3*f + 0*s + 12 = 2*s, 0 = -g*s for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 108126551 and 39?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 106 in -0.1, -4, -1\/3, -1\/121?\nAnswer: -1\/121","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 32 + -3. Let b be (42\/(-10))\/(1\/5). Let c = o + b. What is the greatest common factor of 72 and c?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 9 and -40 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 125629 is divided by 604.\nAnswer: 601","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w, 2 x, and 1 m when four letters picked without replacement from dmwmywdxxmewx?\nAnswer: 27\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 1197 and 1164988?\nAnswer: 1163791","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 56*i - 29 = 60*i - 33, 0 = 2*q - 5*i + 19 for q.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 111 - 10011001110?\nAnswer: -10011000111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 443551 to the power of 1\/2, to the nearest integer?\nAnswer: 666","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 544165 and 371735?\nAnswer: 215","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1536\/480*(-110)\/(-16)?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1374*h*p*s**2 - 7*h*p + 2*h*s + 2*h - 3*p*s**2 + 184*p*s - 14*p - 3142*s**2 - 3*s + 3 wrt s?\nAnswer: 2748*h*p - 6*p - 6284","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is -41 equal to 9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -4, 91 in ascending order.\nAnswer: -4, -1, 91","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -19368.6 rounded to the nearest 10?\nAnswer: -19370","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 - -3) + -238 + 233 - -1?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -66*o + k + 63 = -64*o, -2*k - 33 = -o. What is the remainder when 235 is divided by o?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*k**3 + 220*k**2 + 944*k - 2800.\nAnswer: 4*(k - 2)*(k + 7)*(k + 50)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -38 in 5\/4, -0.12, -29, -39, 2\/3?\nAnswer: -39","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -15 - -17. Let d be 5\/10 + z\/(-4). Let w = -11 + 6. Sort d, w, -3 in increasing order.\nAnswer: w, -3, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-124 + 124 + 7*j)*(4*j + 2*j - j).\nAnswer: 35*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 24 + 2*p + 203*p**2 - 7 + 16*p**2 - 12 - 4 to t*p**2 + g + s*p and give t.\nAnswer: 219","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 662 minutes before 9:13 PM?\nAnswer: 10:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -33411\/9208 - -4\/1151. What is the common denominator of t and -4\/53?\nAnswer: 424","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 y and 1 l when three letters picked without replacement from {l: 1, q: 2, u: 12, y: 4}.\nAnswer: 2\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-8)\/20*-1*2\/(-4)?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*y + 2*y**2 + 2*y)*(-21 + 19 + 11) + 0*y - 4*y**2 - 3*y + 2 + 2*y**2.\nAnswer: 16*y**2 - 3*y + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*l - 5*l + 10. Solve -a + 17 = -4*a - 5*c, 0 = l*a + 3*c + 10 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -x**2 - 7*x - 7. Let r be 2*((-2)\/2 + 4 + -2). Suppose r*t + 34 = 20. Determine j(t).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x**26*x**5*(x**17)**(-5) assuming x is positive.\nAnswer: x**(-54)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 143*-88293.8.\nAnswer: -12626013.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 149 or 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -4*b**3 + 843*b**2 + 1955*b - 4382687 wrt b?\nAnswer: -12*b**2 + 1686*b + 1955","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 u when two letters picked without replacement from uuyubybyu.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 79 = 19*k + 3. Let o(f) = -8*f - 4. Let h(d) = 9*d + 5. What is k*o(y) + 3*h(y)?\nAnswer: -5*y - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*d - 3*y - 18, 3*y = d - y + 10. Solve -4*m = 2*b - d, b - 2 = -4*b + 3*m for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -2.8 (b) -4.6 (c) -40\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 9, 0, 4 in descending order.\nAnswer: 9, 4, 2, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -z = 5*u + 31 - 36, -4*u + 13 = -z for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is o in -1849*o**3\/2 + 35948*o**2 - 621453*o\/2 - 772641 = 0?\nAnswer: -2, 879\/43","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -137, 6, 2835.\nAnswer: -137, 6, 2835","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Work out -5 + -5600.934.\nAnswer: -5605.934","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 34547761 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*j - 32 = -10*j. What is the units digit of j?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 165971 to the power of 1\/2, to the nearest integer?\nAnswer: 407","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -86 - -103. Calculate the remainder when s is divided by 6.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 3992617?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 128*l + 101*l - 6132 = 1196 for l.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z - 2*z = 0. Let m(x) = x + 5. Let c be m(z). Let r(v) = 137*v - 680. Let u be r(5). Solve -10 + c = u*f for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 181515.7 rounded to the nearest 100?\nAnswer: 181500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = q**2 - 2*q - 1. Let o(h) = h**3 - 10*h**2 + 9*h + 8. Let f be o(9). Suppose 2*i - 5*a = -6*a + 10, 4*i - 8 = 4*a. Suppose -i*s + f = -0*s. Give t(s).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = j**3 - 16*j**2 - 37*j + 21. Let h be g(18). Which is bigger: -3 or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -u**3 - 9*u**2 - 2*u - 2. Suppose 3*o - 9 = 4*o. Let i be n(o). Suppose -18*s = -i*s - 52. Is s a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 28288 to the power of 1\/4, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = p**2 + 87*p - 961. Calculate z(10).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -32118 = -127*a - 35674 for a.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-6)\/24 + (-17)\/(-4). Suppose 0*m = -b*m - 3*f + 197, 0 = m + 5*f - 45. What is the highest common divisor of 20 and m?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2456*7\nAnswer: -17192","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -64596, -64599, -64588, -64557, -64500, -64411?\n\"Answer: d**3 + d**2 - 13*d - 64585","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}