diff --git "a/data/dm_maths/full_data_1/1863_11255.jsonl" "b/data/dm_maths/full_data_1/1863_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data_1/1863_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: Let n be (1 - 2*-230) + -2. Suppose 5*j - 2347 = -f, n = -4*j + 5*j - 5*f. Is j a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1076267 - -5874.45924.\nAnswer: -1070392.54076","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 376 is divided by 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 9\/(-3)*1\/(-3). Put -5, s, -1, 0 in descending order.\nAnswer: s, 0, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -2 (b) -3\/5 (c) 593\/12 (d) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 9*(-5)\/(-15)*(-1 + -2). Let j be 28\/18 + 7 + o. Let s = j + 55\/63. Is -5 equal to s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**24\/(q\/(q\/(q\/(q*(q*q**(3\/5)*q*q)\/q)))))\/((q*q\/q**17)\/q*q**(-2\/53)) assuming q is positive.\nAnswer: q**(11299\/265)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(133)*4)\/(sqrt(448)*-3) - (((2*sqrt(114) + sqrt(114))*1)\/(sqrt(864) + 2*sqrt(864) + sqrt(864)))**2.\nAnswer: -sqrt(19)\/3 - 19\/256","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = 2*s**2 - 7*s - 4. Let n = -78 - -71. Is q(n) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16393224901 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 4, -63, -3 in descending order.\nAnswer: 4, -3, -4, -63","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k - 184 = -2*m + 5*m, -4*m - 59 = -k. What is the remainder when k is divided by -2 + ((-38)\/(-1) - 1)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = 32*q + 389. Let u be v(-12). Put u, -4, 2, 1, -3 in increasing order.\nAnswer: -4, -3, 1, 2, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 273303 and 162.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = 12*z. Let l(p) = -378*p - p**2 + 378*p. Give l(v(f)).\nAnswer: -144*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 11370.9*5\nAnswer: 56854.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 78 - 80.06. Let o = m - -0.06. Let w = -13\/18 - -2\/9. What is the nearest to w in 5, -1, o?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) be the first derivative of s**5\/70 - 11*s**4\/42 + 19*s**3\/21 - 9*s**2\/7 - 145*s + 100. Let d(j) be the first derivative of f(j). What is v in d(v) = 0?\nAnswer: 1, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-3 + 24*-8)*-1. Suppose s - 59 = 8*d. What is the remainder when -2 - (35*1)\/(-1) is divided by d?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 65 divide 102375?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -73*t**2 + 2*t. Let m(g) = -185*g + 46*g + 47*g + 43*g + 48*g. Determine b(m(n)).\nAnswer: -73*n**2 - 2*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*m + 52*m - 344 = 0. Calculate the lowest common multiple of 148 and m.\nAnswer: 296","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7*h**3 + 2*h**3 + 2*h**3)*(4*h**2 + 2*h**2 - 4*h**2) - 2*h + 7*h - 2*h**5 - h.\nAnswer: 20*h**5 + 4*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -44 = -4*g + 4*t, -4*g + 45 = -7*t + 2*t. Suppose z = 17 + g. What is the tens digit of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/9 in 4, -1, -0.5, 4\/7?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 73135?\nAnswer: 5, 14627","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -w + 3*w, -4*p + 16 = 4*w. Let i be p\/(-18)*3 - (-43)\/30. Is 1 equal to i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = i - 3. Let l(r) be the third derivative of 0 + 1\/12*r**4 - 5\/6*r**3 + 38*r**2 + 0*r. What is -5*g(o) + 3*l(o)?\nAnswer: o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*k - 5*k + 4*k)*(2 - 2 + 2*k) + 26*k**2 + 27*k**2 + 24*k**2 - 2*k**2 - 12*k**2 + 22*k**2 + 33*k**2 - 37*k**2.\nAnswer: 83*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 4*f**4 + 83 - 21*f - 77 + 6*f wrt f.\nAnswer: 16*f**3 - 15","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -s + 479 + s**2 + 0*s**2 + 4*s.\nAnswer: s**2 + 3*s + 479","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 + 2 - (-41 - -62).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12926.1931 + 0.15.\nAnswer: -12926.0431","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-444)\/1184)\/(6 + (-19695)\/3280)?\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 1715379152?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 969 - 3*o + 4*o - 215 + 8*o - 7*o to the form b*o + f and give f.\nAnswer: 754","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(sqrt(70)\/(sqrt(7)*-4))\/(sqrt(405)*1)*2 + 1.\nAnswer: -5*sqrt(2)\/18 + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 217, -460, -2277, -5804, -11611?\nAnswer: -20268","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1.9 + 14.9. Let r = -12.9 + w. Which is the third smallest value? (a) -3 (b) -0.2 (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*j**4 + 0*j**4 - j**4)*(1 + 1 - 3)*(430 - 173 + 652).\nAnswer: 909*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: What is 623 minutes before 12:05 PM?\nAnswer: 1:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -17 - -9. Let a = m + 12. Solve w = -0 - 3, a*w + 6 = -2*l for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 30 + -1?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 157850*v**5 - 85*v**3 - 157844*v**5 + v**2 + 24*v**2 - 17*v**3 + v**2 + 70*v**4 = 0 for v.\nAnswer: -13, 0, 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3.9 - 0.9. Suppose 2*t = 4*d + 3*t + 189, 0 = 2*d - 2*t + 102. Let m be (-28)\/d - 2\/6. Which is the biggest value? (a) -3\/2 (b) m (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = 128927*j. Let u(a) = 608*a**2. What is q(u(i))?\nAnswer: 78387616*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -39228 + -349?\nAnswer: -39575","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -16585 divided by -5.\nAnswer: 3317","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hb when two letters picked without replacement from {x: 11, b: 1, h: 1, r: 1, n: 6}?\nAnswer: 1\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 5912\/5 or 1183?\nAnswer: 1183","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -47*v**3 - 42*v**3 + 84*v**3.\nAnswer: -5*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 1, 3167, 0.5, 3?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -33 - -32.99999238. Round n to six decimal places.\nAnswer: -0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 447215 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 260 divide 8120060?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.3 + 0.8. Let b be 0 + 2\/8 + 0. Let v = -204 - -1017\/5. Sort b, v, d in descending order.\nAnswer: d, b, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ghggggghghh. What is prob of picking 2 g and 1 h?\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14 = 2*g - 2*x, -2*x + 11 = 35979*g - 35982*g for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -2998, -6003, -9008?\n\"Answer: -3005*o + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*g**3 + 4*g**3 - 4*g**3)*((-1 - 2*g + 1)*(-91 + 10*g + 91) + (-4*g + 5*g - 2*g)*(g + 2*g - 2*g)).\nAnswer: -42*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 4 - 2)*(0 - v**5 + 0 - 4*v**5 + 2*v**5 + v**5 + (-2*v**3 + 2 - 2)*(-3*v**2 - v**2 + 2*v**2) + v + v**5 - v).\nAnswer: 12*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 890?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from dffwafwarwfddfdridfr. What is prob of sequence wwar?\nAnswer: 1\/3230","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 15\/29 in 141, 16, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = 3*y - 6. Let a = 10 + -3. Let n = -2 - -10. Calculate the remainder when q(a) is divided by n.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 9194244, 18388488, 27582732, 36776976?\n\"Answer: 9194244*w","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((108*v - 265*v + 94*v + 2)*(-2 + 3 + 5) + 4*v - 3*v - 3*v)*(2 + 0 + 0) to f + i*v and give i.\nAnswer: -760","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*k + 21 = -3*p + 4*k, 2*k - 21 = 5*p. Let w be 166\/(-12) + p\/18. Is (-1 + 4\/(-8))*w a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-6678)\/(-742) + 3371\/(-414) + -1 and -71\/27?\nAnswer: 1242","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -48222 or -48400?\nAnswer: -48222","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/9, 1359, -0.004 in descending order.\nAnswer: 1359, -0.004, -2\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -48? (a) -63 (b) 2 (c) -1 (d) 2\/11 (e) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-3)\/(-4))\/(16497\/(-4888)).\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 19685 is divided by 87.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = t. Let c(k) = -10*k. Let s(a) = -c(a) - 6*y(a). Let w(d) = 4*d. Give w(s(b)).\nAnswer: 16*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -130 + 132. Suppose m*x - 7 = j, 5*x - 19 = 2*j - 0. Let y be -1 + -1 - (-14 + 12). Put j, y, 8, 5 in decreasing order.\nAnswer: 8, 5, j, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = f**3 - 445*f**2 - 1885*f + 39948. Calculate i(449).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -533*k**5 - 292*k**4 - 1218832*k**2.\nAnswer: -31980*k**2 - 7008*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 32835240 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor n**3 - 90094*n**2 + 2029142112*n + 4058644608.\nAnswer: (n - 45048)**2*(n + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 52\/161 - 14\/23. Which is the third smallest value? (a) 1 (b) 3 (c) q (d) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*u - 2*u + 2*u)*(1 + 3 - 5) + 2213 - 6*u + u - 2220.\nAnswer: -7*u - 7","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(104)\/(sqrt(8)*-1) + sqrt(52)\/sqrt(4)*5.\nAnswer: 4*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 10 + -3200313?\nAnswer: -3200303","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 1395?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*y**5 - 5*y**5 - 2*y**5 + (y**2 + y**2 - y**2)*(2*y**3 - 4*y**2 + 4*y**2) - 5*y**5 + 3*y**5 + 3*y**5 - 25318*y**3 + 25318*y**3 - 365*y**5.\nAnswer: -364*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand -b + 9*b + 25*b + 2*b + (0 + 0 - 1)*(0*b + 3*b - 2*b) - 2*b + b - 6*b - 4*b + b + 2*b + 0 + 0 + 3*b + b - 4*b + 4*b.\nAnswer: 30*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = 186517*z - 117. Is n(2) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 309589 and 94?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8534 divided by -34256.\nAnswer: 4267\/17128","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = 4*a**3 - 3*a**2 - 7*a + 7. Suppose 67 - 27 = 3*x + 4*v, 4*x + 5*v = 52. Let t be p(x). Factor -t*j**2 - 4*j**3 + 52*j**3 + 4*j + 1837*j**2 - 32*j**4.\nAnswer: -2*j*(j - 2)*(4*j + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 31 and 263.\nAnswer: 294","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 1368 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-28)\/12 + (2 - -1). Let v(u) = 3*u**3 - 7*u + 6. Let s be v(1). What is the second biggest value in 1\/4, s, 2\/5, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = 3*h**2 - 6 + 5*h - 1 + 0. Let s = 146 - 141. List the prime factors of p(s).\nAnswer: 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 2, -6\/19, 3, -0.09?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12*r + 8*r - 5*r + 5*r + 43*r - 13*r.\nAnswer: 26*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = 864*w + 6916. Let u be i(-8). Solve u*r + 8 = 5*f, 4*r + 3*f = 21 + 3 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-870)\/12*2832\/(-3422)?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*o + o - 2*o + (3*o - 3*o + o)*(4 + 1 - 3) + 0 + 0 + o)*((-4*o - 1 + 1)*(-5 - 6 + 6) + 2*o - 4 + 4).\nAnswer: 110*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -0.5*-5470.356\nAnswer: 2735.178","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6557*v - 3255*v + 403*v**2 - 3302*v.\nAnswer: 403*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 153*a - 168973697 + 168973697.\nAnswer: 153*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5463 to the nearest integer?\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 5438 to the power of 1\/3, to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) be the first derivative of 21*i**2 + 3*i - 4. Is 29 a factor of k(2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 107\/206190 and -80\/111447.\nAnswer: 88043130","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-13)\/((-208)\/(-24))*40\/(-15)*3.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand u + 0*u + 0*u + (3 - 2 + 0)*(0 - 3 + 5)*(-8*u + 6 - 6).\nAnswer: -15*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -5 + 4.999976. Round c to 6 decimal places.\nAnswer: -0.000024","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -1265349, -2530701, -3796053, -5061405?\n\"Answer: -1265352*v + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -50, 12, 79, 4 in decreasing order.\nAnswer: 79, 12, 4, -50","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w and 3 u when four letters picked without replacement from uuuwunuur?\nAnswer: 10\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 4.2 - 7.6. Let o = -3 - m. Let r = 0.2 - o. Is r equal to 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000007646656 to seven dps.\nAnswer: -0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o - 4*o + 2*u = -50, 0 = -4*o - 4*u + 132. Suppose o*t - 30 = 23*t. Solve 1 = 2*p + c - 0, 0 = t*p + 2*c for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/12, 2\/7, -0.2, -16944, -0.5 in descending order.\nAnswer: 2\/7, 1\/12, -0.2, -0.5, -16944","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 54\/2 - (-410994)\/(-27864)?\nAnswer: 49\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-31)\/155 - (-1)\/(5\/266) is divided by 18?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 524 plus 839?\nAnswer: 1363","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-27)\/3 - (0 - 3). Let y be 3*1\/((-9)\/t). Suppose d - y = -j - j, -5*d - j = -28. Solve -12 = -q + 2*a, -d*q = -q + 3*a - 8 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -23, 19 in descending order.\nAnswer: 19, 1, -23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1367*n**3 + 344*n?\nAnswer: 8202*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a tonne in kilograms?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -12521331 + 17596078. Let d = -5074723.39849 + y. Let j = 23.6 - d. Round j to 4 decimal places.\nAnswer: -0.0015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6785.18 - 20?\nAnswer: 6765.18","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a + 40 = -5*z - 20, 5*a = 3*z + 54. Suppose -95 = -h - v, -4*v + 3 + a = 0. Is h less than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 23766, 47565, 71410, 95325, 119334, 143461, 167730, 192165?\nAnswer: 216790","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -42*u**2 - 6*u**3 + 162 + 30*u**2 - 161 as l + i*u + q*u**2 + s*u**3 and give q.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 49643344*r**2 + 9799918.\nAnswer: 99286688*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1487226 by -299.\nAnswer: -4974","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1671471 and 127782.\nAnswer: 2061","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1281 and 915?\nAnswer: 6405","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-7*z**2 + 4*z**2 + z**2)*(-7*z - z**2 + 9*z + 2*z**2) to i*z + u*z**3 + j + w*z**2 + h*z**4 and give u.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from dgggggggggdgdggg. Give prob of sequence gdd.\nAnswer: 13\/560","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 191 = 3*n - 118. Let f(s) = n - 195 - 13*s + 92. Let i(t) = -2*t. Give f(i(m)).\nAnswer: 26*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is -1578 < -1582?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q - 5*o + 17 = 0, o = 3*q - 2*o + 3. Let u be (q\/2)\/((-7)\/(-14)). Suppose 4*t + 242 = 5*h + 3*t, -h - u*t = -42. Is 12 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*u**4 - 1900*u**3 + 180500*u**2 = 0.\nAnswer: 0, 190","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 0.02985*-941\nAnswer: -28.08885","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor -62*z**2 - 4*z**4 - 4*z + 0 + 127\/4*z**3.\nAnswer: -z*(z - 4)**2*(16*z + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -424, -426, -428, -430, -432?\n\"Answer: -2*n - 422","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 380 is divided by (-8)\/(-140)*-10 + 340\/7?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4280825 by -856165.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is -2413 < -2412?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 283*y - 93*y - 92*y - 96*y.\nAnswer: 2*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -137419.74*0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 688 minutes after 1:30 AM?\nAnswer: 12:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 762\/(-9) - 1\/3. Let w = 250 + u. What is the remainder when w is divided by 28?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 4 - 4\/56*52. Sort j, 2, 2\/11 in descending order.\nAnswer: 2, j, 2\/11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 918110 to the nearest integer?\nAnswer: 97","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -32\/161, 1\/9, -3, -0.2?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x*x**3*x*x**2)\/(x**0*x**(1\/7))*(x**(-1)*x*x**6*x)\/(x**(-2\/7))**(-39) assuming x is positive.\nAnswer: x**(19\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 3\/(-2) - 77\/(-22). Solve -i*p + 3*p + 2 = 0 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -363*l**4 + 25059*l**3\/7 - 80343*l**2\/7 + 79893*l\/7 + 12636\/7 = 0 for l.\nAnswer: -117\/847, 3, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-2)\/12 + 14\/84. Let m be n*3\/((-6)\/2). Solve -2*b = -m*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) be the third derivative of c**5\/60 + c**4\/6 - c**3\/2 - 22*c**2 - 2. Give i(-6).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**5\/t*t**(-2\/43))\/(((t*(t*t\/(t*t**(-7\/4)))\/t*t)\/t*t)\/(t**(10\/3)*t)) assuming t is positive.\nAnswer: t**(2341\/516)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d + 140 = 4*d. Suppose -2*l + d = 3*l - u, -32 = -4*l - 4*u. Suppose -45 = -5*x + 4*r, -2*r - 5 = -5*x - l*r. What is the units digit of x?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 4*d*l*q**2 - d*l*q + 323*d*l + l*q**2 - 3*l + 194*q**2 + 4*q wrt d.\nAnswer: 4*l*q**2 - l*q + 323*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o - 51*r = -48*r + 8313, -3*r + 15 = 0. What is o rounded to the nearest one hundred?\nAnswer: 2800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 37933.28ml to litres.\nAnswer: 37.93328","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 51 divided by -10\nAnswer: -51\/10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -4372.044798 to the nearest 1000.\nAnswer: -4000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.1 or -8008?\nAnswer: -8008","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = 134*u + 14. Let p(r) = -27*r - 3. Determine -3*a(f) - 14*p(f).\nAnswer: -24*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1834 + -1820. What is the remainder when 321 is divided by m?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = n + 17. Let a be x(0). Let r(v) = 3 + 0 + v - 13. Let c be r(13). Solve -3*s - c = 3*d + 12, -5*s - a = 3*d for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -4, -9 in increasing order.\nAnswer: -9, -4, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*l**3\/7 + 108*l**2\/7 - 204*l\/7 + 100\/7.\nAnswer: -4*(l - 25)*(l - 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express (s + s + 0*s)*(37*s + 40*s + 5*s) in the form o + n*s**2 + y*s and give n.\nAnswer: 164","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 2539021531 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -273 (base 9) in base 16?\nAnswer: -e4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 120 times -26.8853\nAnswer: -3226.236","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 199213 is divided by 22068.\nAnswer: 601","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -3, 0, 2319, 4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = i**3 + 6*i**2 - 8*i - 2. Let l be (-552)\/90 + (-4)\/(-30). Does 23 divide r(l)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 3638 divide 1233890349?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = 13*m + 5. Suppose 17*k + 10 = v + 13*k, 5*k + 9 = 3*v. What is f(v)?\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w - 20 = -0*w. Suppose -4*u = -4*k - 45 - 3, w*u - 6 = -2*k. Let l(x) = -x**3 - 8*x**2 - 8*x + 5. Does 4 divide l(k)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 760154325 = 760154325?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 5 + -3. Let n be ((-12)\/(-24))\/((-1)\/((-8)\/(-14))). What is the biggest value in h, n, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d**(2\/7)*d**(-6)*(d\/(d\/d**(-6\/5)))\/(d\/((d*d**(-6))\/d)) assuming d is positive.\nAnswer: d**(-487\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 279543 - -4016.04.\nAnswer: 283559.04","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1680 or -5044\/3?\nAnswer: -1680","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 80*b + 90 = 65*b, 0 = -2*x - 3*b - 10 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1470 is divided by 32?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -546 - -548. Solve -t*r = -2*h, 0*r = h + r for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4)\/84*4704\/(-448)?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 34 - 31. Suppose 2*y + h = -2, -2*y - 5*h = x*y + 10. Let n(b) = -b**3 - b**2 + 3. Determine n(y).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (10\/(-13))\/((-292145)\/(-178724))\nAnswer: -8\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1454 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -1 + (5 - 6 - -2). Solve z = 8*m + 2*m - 20 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) be the third derivative of -q**6\/90 - 7*q**5\/30 - 2*q**4 + 13*q**3\/2 - 2*q**2 - 4. Let k(g) be the first derivative of n(g). Let k(o) = 0. Calculate o.\nAnswer: -4, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*v**4 + 11730*v**3 + 49*v**2 + v + 29 wrt v.\nAnswer: 48*v + 70380","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -1+-585.399\nAnswer: -586.399","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2715, -5492, -8331, -11226, -14171?\nAnswer: -17160","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -22\/183 less than or equal to -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 45 and 1199?\nAnswer: 53955","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -95 + 841 = 5*g + 4*m, 2*m - 300 = -2*g. Let q(x) = x**3 + 7*x**2 - 16*x + 39. Let k be q(-10). Let w = g + k. Is w a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -1 - 10 + 52*h + 0*h**3 - h**3 - 8*h**2 - 37*h. Let m = 20 - 30. List the prime factors of f(m).\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -15 - 924*k - 294*k - 13 + 28 to the form a + r*k and give r.\nAnswer: -1218","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = 5*q + 4. Let s be j(-3). Let m be (-3)\/(-12) + s\/(-4). Suppose b - 75 = 4*c, b + 3*b - 338 = -m*c. Is b prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*((-4*(2 + sqrt(117)))**2 + -2 + 5 + sqrt(117) + 0 + (sqrt(117) - (sqrt(117) - (sqrt(117) - ((sqrt(117)*2 - sqrt(117)) + 0))))**2)*3.\nAnswer: 585*sqrt(13) + 5817","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = 84*m**2 - 31*m + 137. Is d(4) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -53 + 77 = 8*g. Suppose 2*j + 2*f + 0*f = 1348, 4*j - 2695 = -g*f. Is j composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -34 + 23 - (117 + -170)\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 74739 and 84.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 2, k: 12, j: 1, g: 4}. What is prob of sequence hj?\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -6022.8 + 6023. Which is the fifth smallest value? (a) 3\/10 (b) 2 (c) -0.076 (d) -0.1 (e) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u = 12 + 28. Suppose 4*k + i = 5243, 6*k - u*k - 2*i + 5242 = 0. List the prime factors of k.\nAnswer: 3, 19, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in fifty-one quarters of a millimeter?\nAnswer: 12750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = 89*n + 10. Let c = 160 - 157. What is the remainder when s(c) is divided by 28?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 447069.5 grams in micrograms?\nAnswer: 447069500000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -6 + 30 - (-153 + 133)\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Let w be 231\/39*(-460)\/(-2530). Determine m, given that -w*m**2 - 6\/13*m + 0 - 2\/13*m**4 - 10\/13*m**3 = 0.\nAnswer: -3, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 35561810, 71123620, 106685428, 142247234, 177809038?\n\"Answer: -p**2 + 35561813*p - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -5\/4 (b) -0.93 (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 1 + (-13)\/10 + 478*(-14)\/1960. Put 1, a, -2 in decreasing order.\nAnswer: 1, -2, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/4? (a) -5 (b) -3 (c) -64 (d) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2605524 divided by 3639.\nAnswer: -716","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 47677 is divided by 95.\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 206*z = 214*z + 4808. Let j = 1231 + z. What is j rounded to the nearest 1000?\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -28*u - 342. What is m(-16)?\nAnswer: 106","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-32)\/(-7) + 1 + 66\/(-42). Suppose -b*o + 5*i - 10 + 26 = 0, -4 = -o + i. Solve 5*j - 29 = -2*a, 2*j - 3*a + o*a - 12 = 0 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 91 - 50. Let s = g - 90. Let t be (-518)\/s - (-6)\/14. Calculate the highest common factor of t and 44.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 t and 1 v when three letters picked without replacement from {t: 3, v: 1, g: 1, x: 2}.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 750 + 523. List the prime factors of f.\nAnswer: 19, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 66\/(-40)*4\/(-6). Let p = c + 2\/5. Let i = 0 - p. Sort -0.4, -1\/3, 0.3, i in increasing order.\nAnswer: i, -0.4, -1\/3, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-138)\/2016*-6 - 2\/7. What is the nearest to 2 in -0.3, 5, p, -3?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-9)\/(378\/12) - (-1376)\/14.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y + 8 = 2*k, -6*y + k + 11 = -y. Solve 0*x = x - y for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/49, -1\/2, -7, 2\/11, 2 in descending order.\nAnswer: 2, 2\/11, -2\/49, -1\/2, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 265*c**3 + 261*c**3 - 524*c**3.\nAnswer: 2*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -13 - -62. What is the remainder when b is divided by 10?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -5*c**2 + c**2 + 2*c**2. Let h(v) be the second derivative of -2*v**3\/3 + 3*v. Calculate t(h(z)).\nAnswer: -32*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 106?\nAnswer: 2, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = 2*w**3 - 3*w**2 + 3*w - 2. Let r be (6\/2)\/3*1 - -1. Calculate y(r).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -6 + -5057?\nAnswer: -5063","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 1, b: 2, a: 1, h: 2, f: 1}. What is prob of sequence ah?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 (base 13) in base 8?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 17.898 minus 85301.03?\nAnswer: -85283.132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 113933 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2111492?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 73*w**2 - 181*w**2 + 86*w**2 + 54*w**2.\nAnswer: 32*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -18*b*f - 115*b + 335*f + 119 wrt f?\nAnswer: -18*b + 335","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -52\/5*s**2 - 4\/5 - 26\/5*s - 6*s**3 = 0. Calculate s.\nAnswer: -1, -2\/5, -1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -52, -60, 8, 200, 564, 1148, 2000?\n\"Answer: 8*z**3 - 10*z**2 - 34*z - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-12)\/7)\/(8\/(-308)). Let o = -47 + u. Suppose 0 = -h + 2 + 3. What is the remainder when o is divided by h?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 k when two letters picked without replacement from ggkfkgkgffkrnkkkk?\nAnswer: 7\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -10 - (1 + -5 + -7)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17 = 2*o - 5*s, 0*s - 5*s = -o - 21 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-262)\/14 + 4\/(-14). Calculate the remainder when (7 + n)\/((-2)\/3) is divided by 11.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 40106213.\nAnswer: 7, 17, 53, 6359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Product of 303 and 81.\nAnswer: 24543","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 31 in 0.05, -2, 2, 0.2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -80 in 0.4, -5, -0.3, 1\/2, -0.1?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -8? (a) 0.5 (b) -522.4 (c) -2\/9 (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -6*j**2 + 5*j - 2. Let v(q) = 17*q**2 - 14*q + 5. Let m(g) = -4*v(g) - 11*z(g). Let b(n) be the first derivative of m(n). What is b(-2)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 303536 is divided by 116.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.4664 - -0.0764. What is k rounded to 1 dp?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -j - 2. Let f be n(-2). Suppose f = -3*l - 0*l + 6. Solve k = -l*k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) -73 (b) -3\/2 (c) -61 (d) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 189236073?\nAnswer: 3, 13, 67, 72421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r*r\/(r*r**5*r)*r**(-12) assuming r is positive.\nAnswer: r**(-17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round -48237.37 to the nearest one hundred.\nAnswer: -48200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (-21 - (-518)\/70) + 2*1\/(-5)?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1963? (a) 0 (b) -2 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bryy when four letters picked without replacement from rbbrbyyyyryb?\nAnswer: 2\/99","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -158372159*o**3*p**2 - 332*o**3*p + o**2*p + 2*o**2 - o + 11726*p wrt p?\nAnswer: -316744318*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*j = -4 - 20. Let g(b) be the second derivative of 0 + 0*b**3 + 3*b**2 + 2*b - 1\/12*b**j. Calculate g(0).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 1\/3*(11 - -4). Let w = -1 + a. Suppose -24 = 4*f + w*d, 4*f + 10 = -5*d - 12. Do 1 and f have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 19673 is divided by 13.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g + 2425 = -5*q, -219 - 272 = q + 5*g. Let x = 2239 + q. Let h = -17511\/10 + x. What is the common denominator of h and -95\/8?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-833)\/(-51) - 5) + 12 - 19.\nAnswer: 13\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7, -4, -3, -1, -11, -5 in ascending order.\nAnswer: -11, -7, -5, -4, -3, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m + 2 = -0. Let u be (-10)\/(-6)*3\/m. Find the second derivative of h - 4*h**2 + 2*h - u*h wrt h.\nAnswer: -8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-d + d - 2*d)*(-34*d + 379 - 379) - 2*d - 2*d**2 + 2*d + (3*d - 5*d + 3*d)*(-16*d - 30*d + 28*d) to the form g*d**2 + s*d + a and give g.\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-80)\/176*(-2134)\/12125.\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = z - 1. Let n(g) = g - 16. Let c be n(17). Let x = 0 - c. Determine k(x).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*r + 6*r**3 - 5*r - 3*r.\nAnswer: 6*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = i**2 + 8*i + 20. What is the least common multiple of u(-6) and 6?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r\/(r\/r**(-3\/2)))\/(r**(-3\/7)\/r))**(-3)*(r**3*r\/(r**(-6)*r))**(-6\/7) assuming r is positive.\nAnswer: r**(-15\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 148 - 0. Let x = r + -743. Round x to the nearest one hundred.\nAnswer: -600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 38 divide 109374?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o - 3*i - 56 = -i, 5*i + 25 = 0. Suppose -17*y + o = -515. What is the smallest common multiple of 3 and y?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -449 to the nearest ten.\nAnswer: -450","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 626, 5033, 16942, 40103, 78266, 135181, 214598, 320267?\n\"Answer: 625*l**3 + l**2 + 29*l - 29","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 1, 3331197 in descending order.\nAnswer: 3331197, 3, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 1\/5657?\nAnswer: 1\/5657","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2 times 1301?\nAnswer: -260.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 22001229?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2509 + 4981 - 411*y**3 + 132*y**3 + 144*y**3 + 149*y**3 - 2472.\nAnswer: 14*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.377242 and 0.3.\nAnswer: 0.1131726","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -2*b**2 + 8*b + 13. Let c be r(5). Suppose 0*u = c*u - 55041. Is u prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bv when two letters picked without replacement from bbvbbbbb?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u - 6*f + 95 = -11*f, -3*u + 2*f = -56. Let t(j) = -j**2 + 12*j + 111. Let w be t(u). Solve 3*p = 4*p - w for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 160 minutes before 3:50 PM?\nAnswer: 1:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n + 48*v = 47*v - 26, -64 = -4*n - 4*v. Which is the third smallest value? (a) n (b) -5 (c) 2\/51\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*x + 2*u + 57 + 31, 0 = 3*x + 5*u - 53. Let k = x - 1. Suppose k = 3*f - 7. List the prime factors of f.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -8d0 + -1e77?\nAnswer: -2857","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -v + 3. Let s(t) = -t**3 + 6*t**2 + 6*t + 10. Let y be s(7). Let d = y + v. Solve d = -p - 2*a - 0*a, 5*p = a for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -60555, -60604, -60659, -60720?\n\"Answer: -3*w**2 - 40*w - 60512","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 205 is divided by 60.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -598*x - 2625. What is d(-5)?\nAnswer: 365","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 1, r: 1, w: 2, o: 1}. Give prob of picking 1 j and 1 o.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*q = 3*q + 9, -5*p = 3*q + 11. Let c(z) be the first derivative of z**4\/4 + z**3 - 3*z**2 - 6*z + 16. Let w be c(p). Solve -n = w*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = a**2 - 4*a - 24. Let d be u(7). What is the second biggest value in 13, d, 2, 0?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 12 - 11.6. Let p = -2 + 28\/15. What is the third smallest value in t, p, 1\/4, 3?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 337560 and 6.\nAnswer: 337560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -58383 + 2?\nAnswer: -58381","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-3)\/2)\/(-1 + -5). Let l = -5.5 + 55.5. Let z = -45 + l. Which is the nearest to s? (a) -3 (b) z (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 402885?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -2*y**2. Let l(s) = -723*s - 10. Let w(k) = -1447*k - 25. Let j(p) = 5*l(p) - 2*w(p). What is h(j(m))?\nAnswer: -1039682*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -2*(-2)\/4*5. Suppose -29 = -c + n. What is the remainder when c is divided by 2\/(-11) - 402\/(-33)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 3593, 7486, 11385, 15290, 19201, 23118, 27041?\n\"Answer: 3*l**2 + 3884*l - 294","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 126\/(-15)*10\/(-4)?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 53, 185, 417, 755, 1205, 1773?\nAnswer: 2465","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6090\/1305*63\/98?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 240081901 is divided by 40013649.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4*(-2*sqrt(77)*3 - sqrt(77)))\/((sqrt(275) + sqrt(275)*3)*-1 - sqrt(275)))**2.\nAnswer: 5488\/625","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 165030.57 + -148538\nAnswer: 16492.57","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 8203 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 217 is divided by 37.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -60*y - 10*y + 728 = -14*y for y.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -13*p**3 - 163*p**2 + 8*p + 16. Let z(f) = 5*f**3 + 54*f**2 - 3*f - 6. Calculate -3*b(l) - 8*z(l).\nAnswer: -l**3 + 57*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((o*o**1)\/o)**35*(o*o**(-1\/2)*o)**(6\/7))\/((o*o*o**(1\/2)*o)**(-16)\/((o\/(((o*o**(2\/3)*o*o*o)\/o)\/o))\/o)**(-5)) assuming o is positive.\nAnswer: o**(2218\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1847 - -1840. Let h(k) = k**3 + 8*k**2 + 8*k + 6. What is h(b)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.292+-91631865175\nAnswer: -91631865174.708","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23935 + 41543 = -3*l. What is l rounded to the nearest one thousand?\nAnswer: -22000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) be the third derivative of -u**6\/200 + u**5\/100 + u**4\/20 + 38*u**2. Factor g(k).\nAnswer: -3*k*(k - 2)*(k + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = k**3 - 23*k**2 + 40*k - 20. Determine w(21).\nAnswer: -62","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 17631323 is divided by 115?\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*sqrt(28)*-5)\/(1*(sqrt(4) - (sqrt(100) + sqrt(4)))).\nAnswer: -4*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -28*a - 217. Give b(-7).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 5211069 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: What is the square root of 28595 to the nearest integer?\nAnswer: 169","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*j + 5*o + 5 = 0, 11 = -2*j + 1267*o - 1266*o for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1609380 to the power of 1\/2, to the nearest integer?\nAnswer: 1269","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = 3*q**3 - 5*q - 4. Let x(r) = -9*r**3 + 15*r + 11. Give 11*o(j) + 4*x(j).\nAnswer: -3*j**3 + 5*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(-1*(sqrt(2448) - (-3*sqrt(2448) + 2)) - -2*(sqrt(2448) + sqrt(2448)*1)*-4)**2 + -3.\nAnswer: -2880*sqrt(17) + 2937609","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*v + 6 - 2 = z, 32 = -4*z + 4*v for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = m**2 - 4*m - 2. Let k(n) = -4*n**2 + 6*n + 8. Let p(l) = -l**2 - l + 1. Let f(o) = k(o) - 3*p(o). What is 2*f(c) + 5*j(c)?\nAnswer: 3*c**2 - 2*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27*l + 377 + 23 + 32 = 0 for l.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(88) - (sqrt(88) - -3*sqrt(88)*2))\/(sqrt(256)*-1 + sqrt(256) - sqrt(256)))\/(sqrt(10)\/(sqrt(30)\/sqrt(6)*2)*-1).\nAnswer: -3*sqrt(11)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -464271.1 rounded to the nearest one hundred thousand?\nAnswer: -500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 529183 to the power of 1\/6, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, 86, -0.07, 1.\nAnswer: -6, -0.07, 1, 86","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c = 4 - 112. Calculate the greatest common divisor of 90 and c.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 36 - 27. Suppose -4*g - 13 = -b. Let v = 115 + -114. What is the closest to 1 in v, g, -3\/4?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f\/f**(2\/31))\/f**(-3\/17))\/(f**20*(f*f**(-1\/13))\/f) assuming f is positive.\nAnswer: f**(-128875\/6851)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = 8556*g**2 - 45*g + 41. List the prime factors of v(-3).\nAnswer: 2, 5, 17, 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x + 7 = -2. Suppose -7*o + 2*o = -10. Suppose -o*c - 5 = -x*c. What is the remainder when c is divided by 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*a - 3 + 3*a + 8*a + 18 + 16 to the form z + x*a and give x.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2321934 to the nearest integer?\nAnswer: 132","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q - 2*y = 207 - 57, -q = -3*y - 35. Let n = 103 - q. What is the tens digit of n?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 135094 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 855 + -833 + 0 + -53\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = 96*x**2 + 47*x + 19. Determine f(-1).\nAnswer: 68","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 10, r: 2}. What is prob of picking 3 u?\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -441 or -447?\nAnswer: -441","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*-1*-6*sqrt(133)*2)\/((sqrt(7)*-2 - sqrt(7))*-2 - sqrt(7)*3*3).\nAnswer: -12*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20 = 5*k + 4*m, 5*m - 361 = -3*k - 336 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express -10*a + 3*a - 11*a in the form u*a + c and give u.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*u + 5*u**2 + 2*u)*(399 + 886 - 245) in the form p + a*u**2 + v*u and give p.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1\/(-1)*(0 - 4). Suppose -135 = t*x - 9*x. What is the units digit of x?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = 22*h - 9. Give n(-5).\nAnswer: -119","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*q - 14 = -2*s, -s - 2*q - 10 = -23 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = 2*v + 1. Let a be y(-2). Let t be 6*a*(-3)\/27. What is the smallest common multiple of 2 and 13\/t - 1\/(-2)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 1241777?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 201 and 27349869?\nAnswer: 201","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 27*h**2 - 6*h**2 + 4*h**2.\nAnswer: 25*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 38, -1, 95.\nAnswer: -1, 38, 95","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 1011011111101 (base 2) to base 15\nAnswer: 1b25","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*r + 30 = -65*a + 68*a + 3, 30 = 2*a - 4*r for a.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = o**2 + o. Let w(h) = h**2 + 5*h. Give -6*c(l) + w(l).\nAnswer: -5*l**2 - l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -142.3 - -142. Sort y, -0.03, -0.06 in decreasing order.\nAnswer: -0.03, -0.06, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(102)\/sqrt(2))\/sqrt(3) - sqrt(136)\/sqrt(2).\nAnswer: -sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -43252*h + 43252*h - 19*h**3.\nAnswer: -19*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6577?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) be the first derivative of 23*k**4\/2 - k**3\/3 + 11*k - 13. Find the third derivative of x(z) wrt z.\nAnswer: 276","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-2 + 4 - 1)*(2 - 7 + 4) + 2 - 2 + 1 + (3 + 1 - 5)*(-3 + 1 - 3) + 1 - 3 + 3 - 2 + 0 + 0)*(2*n + 3*n - n).\nAnswer: 16*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 6327738221 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1661079633.\nAnswer: 3, 101, 5482111","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q + 5*w - 8 = 0, -5*q + 3*w + 9 = -11. Let t be q - 4\/(16\/12). Let z = -0.8 + 1. Is t not equal to z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 168928?\nAnswer: 2, 5279","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 279581.\nAnswer: 79, 3539","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = 2*k - 5. Let s be q(3). Suppose 0 = -2*x + 4*j + 40, 3*x + s - 61 = 2*j. Suppose -1 = -m - 2*v - v, 0 = -4*v - 4. Solve x = -a - m*a for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7903214069 - -0.0086?\nAnswer: -7903214068.9914","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -272 - -275. Put d, 4\/3, -0.9 in descending order.\nAnswer: d, 4\/3, -0.9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = 567*u - 3397. Let q be c(6). Solve 14 = 3*a - j, q*j = 2*a - 5*a + 20 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 4 and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 41196 (b) 5 (c) 41 (d) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 570\/82 + -7 + 508668\/(-7954)\nAnswer: -64","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (1\/1)\/1*(4 + -2). Suppose c*r - 142 = 5*a, 4*r - 2*a = a + 298. Is 14 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -c**3 + 15*c**2 - 14*c + 11. Calculate f(14).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.821 + 14.\nAnswer: 14.821","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-82)\/(-3))\/((-4)\/6). Let d = -7 - v. Is 17 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 0.3, 3, 2.\nAnswer: -2, 0.3, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2065 + 2976 = -108*c + 5050 - 2277 for c.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -2661 and 0.79?\nAnswer: -2102.19","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -75312 * 193\nAnswer: -14535216","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(8\/3))**(-4\/17) assuming l is positive.\nAnswer: l**(-32\/51)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:27 PM and 3:03 AM?\nAnswer: 576","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 87*l**3 - 2*l**2 - 16*l**5 - 76*l**5 - 23*l**5 - 87*l**3 - 2562*l wrt l?\nAnswer: -2300*l**3 - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1038dc5 (base 14) in base 8?\nAnswer: -35203321","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m = 3*n + 5, -3*n - n + 4*m + 20 = 0. Suppose 0 = -2*u + 5*u - 3*r + 6, 3*u + 3*r - 12 = n. Which is smaller: 2\/19 or u?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2333750 rounded to the nearest 10000?\nAnswer: -2330000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = 4*i + 2. Let w be (-4)\/3*i\/2. Suppose -2*s + 2*n = -8, -n - 7 = 2*s + w*n. Which is bigger: -2\/9 or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(17) + sqrt(17)*1 + 1 + 5)**2 + 4.\nAnswer: 24*sqrt(17) + 108","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 134859837.\nAnswer: 3, 7, 61, 105277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.23, 3\/11, 5, -3\/5, 1\/2?\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1502667 is divided by 1502519.\nAnswer: 148","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2.3 - 0.7. Let a = p + 2. Let c = a - -0.6. Sort c, -1\/4, 4 in increasing order.\nAnswer: c, -1\/4, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 472880*r**2*z**3 - 83*r**2*z + 1446*r*z - 4*z**3 - 6 wrt z?\nAnswer: 2837280*r**2*z - 24*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4.647624ml to litres.\nAnswer: 0.004647624","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 6744 and 298984.\nAnswer: 896952","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (21860\/(-42))\/(4\/(-6)). Let p = k + -782. Let r = p + 41\/21. Is r <= 1\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -x**2 - 21*x + 272. Let r be s(9). What is the second smallest value in r, -12, 0.5, -3\/2?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 + -12 + (20 - 49 - -41 - (89 + 0))?\nAnswer: -83","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-14766)\/138 + (-5 - (-26)\/4*2)?\nAnswer: -99","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 118757 to the power of 1\/2, to the nearest integer?\nAnswer: 345","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(156) - (1*(sqrt(156) - sqrt(156)*-2) + sqrt(156)))\/sqrt(12) + -2)**2 + 4*((sqrt(13) + -1)*6 - 4*sqrt(52)\/sqrt(4))**2.\nAnswer: -84*sqrt(13) + 473","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-y**2 + 0*y**2 - 2*y**2)*(32 - y + 64 + 27) to b*y**2 + k*y + n*y**3 + q and give n.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 1701 (base 11) to base 10\nAnswer: 2179","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(198)\/(sqrt(384)*-1))\/(2*(2*sqrt(1100) + sqrt(1100) + sqrt(1100))) + -3.\nAnswer: -3 - sqrt(3)\/640","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 15, -280, -1591, 4.\nAnswer: -1591, -280, 3, 4, 15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 49301.06 rounded to the nearest one hundred?\nAnswer: 49300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 219955*g - 220086*g = 3930 for g.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + (8 + -4 - 10) + 9 + 5?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3487207?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: a (base 12) to base 3\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 130 minutes before 8:18 PM?\nAnswer: 6:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = 21*n**2 + 15. Let x(u) = 4*u**2. Calculate w(x(b)).\nAnswer: 336*b**4 + 15","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 73\/27 and -38\/63.\nAnswer: 189","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i = 10*i + 500. Let q = i + 236. Is q a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = 950*u + 6. Let f be i(7). Let t be f\/117 - 1\/(-9). Suppose 8*o = 11*o - t. Solve -o = 5*h - 0*v + 3*v, 2*h + 19 = -5*v for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -4*r + r + 2*r - 2*r. Let m(y) = 2*y. Give k(m(v)).\nAnswer: -6*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 427 and 10?\nAnswer: 4270","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = 2*f**2 - 6*f - 3. Give t(5).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*n + n - 3. Calculate the remainder when (57\/9 + -4)*3 is divided by n.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1038621317 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -11*i - 3. Let m = -1575 + 1569. Let x = 50 + -33. Let s(w) = -4*w - 1. Calculate m*o(z) + x*s(z).\nAnswer: -2*z + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = 27*z**2 + z - 22. Let r be y(-6). Suppose -5*v = -r - 1491. Is v a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = 11*q**2 - 61*q + 9. Let n(z) = -11*z. Calculate the smallest common multiple of n(-3) and s(6).\nAnswer: 429","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = 7*g**2 - 6*g. Let r(i) be the third derivative of -i + 0*i**3 - 2\/15*i**5 + 0 + 7\/24*i**4 + 10*i**2. Determine 6*r(t) + 7*w(t).\nAnswer: t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:18 AM and 12:49 PM?\nAnswer: 91","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 340.221788 + -0.264788. Let o = b + -340. Is -0.2 at least as big as o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 0 + 264a5b?\nAnswer: 264a5b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -4 + (-38)\/(-9) - (-4483528)\/9. What is w rounded to the nearest 10000?\nAnswer: 500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) be the third derivative of k**4\/4 - k**3\/6 + 4*k**2 + 25. Let a be 8\/3 - 2\/3. Suppose -a = -3*w - 5. Calculate t(w).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 43112340 and 49215.\nAnswer: 43112340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2 + -2. Let j(h) = h**2 + 3*h + 1. Let c be j(r). Let b = -25 - -41. Solve -2*v + 5*y + b = -9, 0 = 4*v + y + c for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26 at least 23?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(6\/17)*s**(-8))\/(s\/s**(7\/6)*s**(-3\/8)) assuming s is positive.\nAnswer: s**(-2899\/408)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 39568920?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -6 (b) -68\/71 (c) 3 (d) -1 (e) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide -20 by 12.\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 581 minutes before 8:33 AM?\nAnswer: 10:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -395*y = -153*y + 968 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 158 a factor of 275689144?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 55647, 55651, 55657, 55665?\n\"Answer: t**2 + t + 55645","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b**(2\/27)*b**15*b*(b**(-1\/3)\/b)**(1\/8) assuming b is positive.\nAnswer: b**(859\/54)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -21.922 - -22. Let l = -57.922 - y. Let t = -58.00000235 - l. Round t to six decimal places.\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 20*u**3*z**3 + 17*u**3*z**2 + 2*u**3 - 29953*u**2*z**6 - 15859*z**2 wrt z.\nAnswer: 120*u**3 - 3594360*u**2*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(sqrt(11) + (-5 + sqrt(55)\/sqrt(5) + sqrt(11) - sqrt(11)) + (sqrt(11) - sqrt(99)\/(-1*sqrt(9)))).\nAnswer: -30 + 24*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 35*j + 1157 = -j + 365 for j.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -8227*z + 31916.\nAnswer: -8227","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q = -g - 116, -5*g + 220 = -4*q - q. Let l be 2536\/q + 4\/10. Round l to the nearest ten.\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find f such that -1083*f**5\/2 - 47139*f**4\/2 + 25233*f**3\/2 + 118299*f**2\/2 + 26805*f + 3300 = 0.\nAnswer: -44, -1, -5\/19, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -p**3 - 3*p**2 + 2*p. Let g be (-21)\/(-14)*(-2)\/1. Let y(r) = -r**2 + r + 1. What is g*y(u) + z(u)?\nAnswer: -u**3 - u - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (1 - 1)\/(3 + 0\/(-4)). Let k(r) be the third derivative of 0*r**4 + r**2 + 1\/3*r**3 + h + 1\/20*r**5 + 0*r. Find the first derivative of k(t) wrt t.\nAnswer: 6*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -20 + 2 + 87 + -80.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 431 - 401. What is the highest common divisor of p and 150?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -89561 = -16*i + 30359. Is i a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -363302716 or -363302715?\nAnswer: -363302716","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(sqrt(96) + -4*sqrt(96)*-1))\/((sqrt(18) + 1*((sqrt(288) - sqrt(18)) + sqrt(18)))\/(sqrt(72)\/(sqrt(16)\/sqrt(2)))).\nAnswer: 20*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.294847 times 8?\nAnswer: -2.358776","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 559 > 567?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:00 AM and 9:32 PM?\nAnswer: 692","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*v = -2*v. Solve -15*b + 8*b + 28 = v for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m = 6*d - 4*d + 1034, m + 3*d - 497 = 0. Is m a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = o**2 + 3*o - 2. Let v be w(1). Suppose 7 = v*s - 1, n - 5*s = -8. Find the third derivative of -12*t**4 + 0*t**6 - 8*t**6 + n*t**4 - 3*t**2 wrt t.\nAnswer: -960*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 121 - 603\/5. Which is the closest to v? (a) -0.3 (b) -1\/5 (c) 3\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 5, w: 5}. What is prob of sequence wwww?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 392336\/(-2373)*648\/(-837)\nAnswer: 128","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/25 of a meter in millimeters?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = 12*o + 19. Let u(b) = 4*b + 5. Determine 7*u(y) - 2*x(y).\nAnswer: 4*y - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = 16*v**2 + 2*v + 1. Let b be ((-26)\/(-65))\/(2\/20*4). Let c be l(b). Calculate the greatest common divisor of c and 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 137627.\nAnswer: 7, 19661","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one halves of a millimeter in micrometers?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1056?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 261\/94 + -4501\/470. What is the common denominator of l and -39\/13118?\nAnswer: 65590","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 26121, 208943, 705171, 1671507, 3264653?\nAnswer: 5641311","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1129.\nAnswer: 1129","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f*f*f**1*f*f*f)**(-6\/7)\/(f**(1\/7)*f*f**4*f))\/((f**(2\/13)\/f*f**(-1\/8))\/(f**(-3\/2)*f\/f**(2\/5))) assuming f is positive.\nAnswer: f**(-40821\/3640)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -442448, -884871, -1327276, -1769657, -2212008, -2654323?\nAnswer: -3096596","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.48 from 546.\nAnswer: 546.48","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -233*l + 300*l - 2448783 = 0. What are the prime factors of l?\nAnswer: 3, 31, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 27 - 15 + 5 + 4*b + 52.\nAnswer: 4*b + 69","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*r + 86 - 296. Let a be 5*6\/r*-1. Let u = -0.6 - -0.57. Put a, u, -5 in descending order.\nAnswer: u, a, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*k - 3*m + 14 = 0, 8 = -3*k - m + 16 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) be the second derivative of j**7\/210 + 7*j**6\/25 - 23*j**5\/50 - 31*j**4\/15 + 71*j**3\/10 - 43*j**2\/5 - 1003*j. Let u(g) = 0. Calculate g.\nAnswer: -43, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10664 a multiple of 135?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from avv. Give prob of picking 3 v.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) be the third derivative of 23*n**7\/105 - n**6\/120 - 7*n**5\/60 - 5812*n**3\/3 + n**2 - 14*n - 313. What is the first derivative of u(k) wrt k?\nAnswer: 184*k**3 - 3*k**2 - 14*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -83\/3048 and -59\/48.\nAnswer: 6096","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 31199.\nAnswer: 7, 4457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 517 minutes before 11:55 AM?\nAnswer: 3:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1100010000011010100011 - 11?\nAnswer: 1100010000011010100000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 111100 - 100001001001111011?\nAnswer: -100001001000111111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l - 88 = -28. Let k be (91\/14)\/((-2)\/l). Let a = k - 30. Let v(t) = 3*t - 5. Let o(j) = 6*j - 9. What is a*v(p) - 5*o(p)?\nAnswer: -3*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + 4 + (-3 - 7).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 26 or -13?\nAnswer: 26","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -3077 times -36?\nAnswer: 110772","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (14 + 0\/(-15) + -14)*(1 - 0)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-12)\/3*(-57)\/171*6\/(-2).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) be the first derivative of 5*v**3\/3 - 2*v**2 + 8*v + 1384. Let c(j) = -j**2 + j - 2. Give -18*c(x) - 4*d(x).\nAnswer: -2*x**2 - 2*x + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -306 (b) 4 (c) 17.59 (d) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*q - 3*l = -22, -4*q - 7*l = 28*l - 33*l for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -22, -55, -134, -277, -502?\nAnswer: -827","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -k*r**3*w - 48*k*r**3 + 7*k*r*w + 4*r**3 + 14*r*w wrt k.\nAnswer: -r**3*w - 48*r**3 + 7*r*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 153*-0.2\nAnswer: -30.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 79\/56 + -9\/8. Let n(a) = 31*a**2 + a + 1. Let d be n(-1). Let y be d\/(-7) - 12\/(-28). Put r, y, 1\/5 in increasing order.\nAnswer: y, 1\/5, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c = -f + 61169, -6*c - 305897 = -5*f - 7*c. Is f prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -165, -1564, -3893, -7152?\nAnswer: -11341","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 4716 + -1091. What is the hundreds digit of o?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2318\/5 or 463?\nAnswer: 463","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 107608 to the power of 1\/3, to the nearest integer?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3925 and 25.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find p such that -20*p**3 + 926*p**2 - 5820*p + 4914 = 0.\nAnswer: 1, 63\/10, 39","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 11 + -13. What is the units digit of 624\/28 - s\/(-7)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ioiooiroobco. What is prob of sequence ri?\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -70 + 11. Let f = 67 + t. Suppose 3*u - 4*x = 83 - f, -2*u + 2*x = -48. Does 8 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = 5 - 3*y + 6 + 11 + 4*y. What are the prime factors of t(-12)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 7*b - 5*v + 54, -4*b + v + 50 + 68 = 134 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:33 PM and 12:28 AM?\nAnswer: 655","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -362411*d - 20295009. Give s(-56).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = 3 - r**2 + 4*r + 0 - 4. Let t(s) = -s**2 - 15*s - 39. Let m be t(-11). Determine g(m).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -712373 or -712372?\nAnswer: -712372","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 2559 equal to 2559?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -o**3 + 468*o**2 - 702*o - 107177. Calculate p(466).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*v - 4*i + 12486, -25*i + 28*i - 58221 = -14*v. Is v a multiple of 42?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = o**3 - 7*o**2 + 9*o - 83. Let c be d(8). Let z = 64 - c. Calculate the smallest common multiple of z and 84.\nAnswer: 924","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x + 15807 = 3*t, -7*x - 2*t = -4*x - 9484. Suppose -10*w + x = 712. List the prime factors of w.\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t**2\/3 + 115168*t\/3 + 828979264\/3 = 0. Calculate t.\nAnswer: -14396","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*t**2 - 568*t + 4416.\nAnswer: 2*(t - 276)*(t - 8)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 6 and 180396.\nAnswer: 180396","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 = -3*c + 4. Let s be (-7)\/(-21)*(3 - 0). Let v be (c\/(-10))\/(s\/5). Let k(l) = -l**3 - 3*l**2 + 2*l. Determine k(v).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 800 + -716. What is the smallest common multiple of 42 and u?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -200212022 - -1112122021?\nAnswer: 211202222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 6407 to the power of 1\/2, to the nearest integer?\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*g + 26 + 10. List the prime factors of g\/((-2)\/(-2))*1.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = 39*l - 1. Let b be 2*(2 - 7)*-1. Let d = -5 + b. Is m(d) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k - f = -0*k + 2, -4*k = 5*f + 10. Suppose k = -2*y + 16 + 8. Let b = 2 - -1. Solve -3*o = -b + y for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13428389.\nAnswer: 13, 23, 97, 463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*u + 447*g - 444*g + 24, -4*u - 4 = 4*g for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = a + 2. Calculate the least common multiple of (-9 - -4)*(0 + -2) and n(6).\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.3 or -4\/1959?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -85*b**2 + 44*b**2 + 8*b**2.\nAnswer: -33*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-8)\/(-12))\/(1\/(-12)). Sort z, 12, 8 in decreasing order.\nAnswer: 12, 8, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 377509367 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 4207*o**5*q - 3*o**2*q**3 + 71*o*q**3 + 4*o*q wrt o.\nAnswer: 84140*o**3*q - 6*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 133 is divided by 14.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r and 2 s when three letters picked without replacement from {t: 1, p: 3, s: 6, r: 4}?\nAnswer: 15\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1635 - 3301?\nAnswer: -5236","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1378, 3, -15, 21 in increasing order.\nAnswer: -1378, -15, 3, 21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -3*u**3 - 7*u**2 - 5*u - 1. Let j(d) = -d**2 - 2*d + 7*d + 7*d - 6*d - d**3 - 7*d. Calculate f(i) - 5*j(i).\nAnswer: 2*i**3 - 2*i**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*m - 2*w, 16*m - 17*m - 2*w = 0. Let o(g) be the second derivative of m*g**2 + 0 + 0*g**3 + 18*g + 5\/12*g**4. Let u(y) = y**2. Calculate u(o(t)).\nAnswer: 25*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 1679 to the power of 1\/10, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 9128 and 56?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) be the second derivative of 0 - 23\/6*m**3 + 0*m**2 + 173*m. Let v(w) = 2*w**2. Determine p(v(u)).\nAnswer: -46*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -124*t - 7 = -x - 128*t, -2*t = 5*x + 19 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (q**3 + 0 + 0)*(-2*q + 2*q - 2*q) - 8*q**4 - 32*q**4 - 27*q**4 to the form d*q**3 + o*q**4 + i*q + r + n*q**2 and give o.\nAnswer: -69","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 489?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -m**2 + 8*m + 12. Let o be a(7). Let n = o - 17. What is the derivative of -2*s + 2*s**n + 2*s + 3 wrt s?\nAnswer: 4*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 546847 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 235827 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: Solve -99 = -5*j - 114, 3*o + 0*o - j + 39 = 0 for o.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 63550 and 851570.\nAnswer: 4257850","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 3*2\/3 + 1. Let k = -36 - -64. Suppose 0 = -5*j + j + k. Sort -3, j, s in decreasing order.\nAnswer: j, s, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-888)\/(-18)*(-10170)\/(-3 + -12). Is o greater than -1\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 101\/11320 and -139\/288?\nAnswer: 407520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -2, -26, -58, -92, -122, -142?\n\"Answer: t**3 - 10*t**2 - t + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 339*y + 701*y = -20800 for y.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is r in r**4\/3 - 139*r**3\/3 + 4934*r**2\/3 + 27904*r\/3 - 778240 = 0?\nAnswer: -19, 30, 64","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*d - 11 = 38. Calculate the highest common divisor of d and 189.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -45 + 71. Is f a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -118*r**3 - 4*r - 4. Let v(c) = c**3 - c + 1. Determine o(h) + 4*v(h).\nAnswer: -114*h**3 - 8*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:42 AM and 5:26 PM?\nAnswer: 584","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -i**3 - 53*i**2 - 64*i - 615. Give k(-52).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 60*(1222\/52)\/47.\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 241979192?\nAnswer: 2, 7, 13, 61, 5449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 812 and 192444.\nAnswer: 812","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 113342591.\nAnswer: 113342591","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -9\/27580 and 29\/182?\nAnswer: 358540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -475*a**2 + 9977*a - 12. Give s(21).\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express 3515*r + 3519*r - 7040*r + 17 + (3*r - 4*r - r)*(-2 + 2 + 1) as g*r + k and give g.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 38306202?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2239 + 2239.00000987. What is h rounded to seven dps?\nAnswer: 0.0000099","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -31 - -27. Let p = 4.959 - -0.041. Let z = f + p. Which is the closest to 8? (a) 0.2 (b) -3\/4 (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = z**2 - 5*z - 4. Let a be g(6). Let x be 49 - 45 - 2\/(-8)*-6. Factor 1 + 3\/2*j - x*j**a.\nAnswer: -(j - 1)*(5*j + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = 2*b**3 + 11*b**2 + 3*b - 6. Calculate the smallest common multiple of z(-5) and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 591790 is divided by 48?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from juuuutffu. What is prob of sequence ujut?\nAnswer: 5\/756","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 4 - -12142?\nAnswer: 12150","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -g. Let q(d) = d. Let y(w) = -4*p(w) - 3*q(w). Let r(v) be the second derivative of -v**3\/2 - 28*v + 2. Give r(y(f)).\nAnswer: -3*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.434 - 0.134. Which is the third smallest value? (a) 3\/7 (b) o (c) 630\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -41 + 31?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of (5\/(-10))\/((-65996)\/(-13200) - 5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-8)\/(-154))\/((-130)\/(-910))\nAnswer: 4\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -3541 * 327\nAnswer: -1157907","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r and 2 z when three letters picked without replacement from {r: 1, t: 1, z: 2}?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = o**3 - 3*o**2 - o - 50. Let l be d(10). Let s = -240 - -487. Suppose 0 = 5*y - 5*i - l, 4*y - i = 6*y - s. What is the units digit of y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -48336, -48337, -48338?\nAnswer: -48339","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:17 PM and 3:19 AM?\nAnswer: 302","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o - 102 - 100 = 0. Let w = o - -105. Solve -2*i + 14 = -5*j, 0*j = -w*j + 2*i - 10 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-30 - (3 + 8)) + -9 - (0 + 8)) + 0.\nAnswer: -58","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 143.03 + -142. Let v = 6.03 - y. Sort v, -0.01, -0.2.\nAnswer: -0.2, -0.01, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 291 minutes after 9:57 PM?\nAnswer: 2:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 + 29 = -5*t. Let c = -6 - t. Suppose 0*q + q - 4*l - 19 = 0, -4*l = 5*q + c. Is 3 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 12\/(-40)*8\/(-6). Let g = 16\/15 - v. Solve 0 - g*w**4 - w**2 + 3\/2*w**3 + 1\/6*w = 0 for w.\nAnswer: 0, 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -455106 (base 7) in base 16?\nAnswer: -13c6b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 0 + 5\/(10\/14) + -4. Which is the third biggest value? (a) 4 (b) 14 (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1013103 + -32?\nAnswer: -1013201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c + c = -18. Let k be 37 - 5\/((-15)\/c). What is the highest common divisor of k and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 480 + -464. Find the common denominator of -55\/27 and ((-23)\/(-8))\/(6\/x).\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.7 (b) -7 (c) -0.5 (d) -2654\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -408, -31, 1932, 6273, 13784?\n\"Answer: 132*a**3 + a**2 - 550*a + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = 11*o**3 - 14*o**2 - 107*o + 775. Let z(q) = -32*q**3 + 39*q**2 + 321*q - 2328. Let l(k) = -11*d(k) - 4*z(k). Find the first derivative of l(m) wrt m.\nAnswer: 21*m**2 - 4*m - 107","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -3\/2 (b) -10\/7 (c) 1 (d) -3\/7 (e) 33.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -1403754, -1403756, -1403758, -1403760?\n\"Answer: -2*o - 1403752","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2493*h + 3936 - 59025 + 7722 = 0 for h.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*s**2 - 9540*s - 19064.\nAnswer: -4*(s + 2)*(s + 2383)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-5)\/((-15)\/6))\/(16\/32).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 251, 503, 763, 1031?\nAnswer: 1307","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 0 * -419852\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 11346940?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -101 (base 3) in base 7?\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/5 in 1045, 3, -324?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*w = -4*w + 8. Suppose -5*u = -j + 819, w*j + 3*u + 2505 = 5*j. Is j composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 2 (b) 11 (c) -2 (d) 0.2 (e) -10 (f) 506\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = y**2 - 5*y**2 - 3*y**2 + 3*y**2. Let h(k) = -5*k**2 - 4*k - 4. Let b(i) = 11*i**2 + 9*i + 9. Let t(s) = 4*b(s) + 9*h(s). Determine t(a(d)).\nAnswer: -16*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 divided by -87740573?\nAnswer: 7\/87740573","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 3 or 31\/7?\nAnswer: 31\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 11d (base 15) to base 7\nAnswer: 511","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 7122720?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 144499757 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1958515832.\nAnswer: 2, 7, 13, 73, 137, 269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -0.19*-368.51904\nAnswer: 70.0186176","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-8)\/9*159\/212.\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y and 2 d when three letters picked without replacement from uededwmy?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = 20*q + 12. Let y(n) = -559*n - 338. Let o(m) = -169*g(m) - 6*y(m). Let i(c) = c + c - 2*c - 3*c**2. Calculate o(i(s)).\nAnswer: 78*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -7 + (36\/(-21) - -9)?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 = 14*l - 17*l. Let q be (-318)\/(-9) - (-4)\/l. Suppose 0 = q*c - 33*c - 1923. Is c composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3026082.\nAnswer: 2, 3, 37, 43, 317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -233240 divided by 98\nAnswer: -2380","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find q such that 98*q**5\/17 - 1624*q**4\/17 - 82494*q**3\/17 + 1602788*q**2\/17 - 895528*q\/17 + 126960\/17 = 0.\nAnswer: -30, 2\/7, 23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kbnknnnjkkbkknkjj. Give prob of picking 3 k.\nAnswer: 7\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find b, given that -9*b**5 + 1401*b**4\/2 - 10323*b**3 - 1740*b**2 = 0.\nAnswer: -1\/6, 0, 20, 58","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -80*d + 22. Let p = -324 - -323. Let s be k(p). Calculate the greatest common divisor of s and 816.\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -40*h**3*i**3 - 78*h**3*i - 4*i**3 - 4741*i**2 wrt h?\nAnswer: -120*h**2*i**3 - 234*h**2*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/9? (a) 0 (b) 34 (c) -1\/7 (d) -6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 6 - 2. Suppose 57*x - 56*x - 21 = 3*y, -3*y = 3*x + 9. Let 2*r - 3*r**4 + 4*r**2 - x - 2*r**3 + 0 - r**4 + 3*r**i = 0. What is r?\nAnswer: -3, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2\/(3 + 106\/(-34)). Let q = -13 - i. Let r = 4 + -1. Solve -c - 9 = l + r*l, -l + 9 = q*c for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -3*q. Suppose 3*w - 8 = -2. Let u(o) = -17*o**w - 11*o**2 + 29*o**2. Give u(p(a)).\nAnswer: 9*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -249870*n**2*p**3 + 52169*n**2 - n*p**3 + 5*p**2 wrt p.\nAnswer: -1499220*n**2 - 6*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 206 - 109 + 9480*v**3 - 97.\nAnswer: 9480*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*w - 2*r - 26, 8*r = 3*w + 3*r - 59 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (66625\/750)\/(39\/(-6)).\nAnswer: -41\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -13390.52642 rounded to the nearest 10?\nAnswer: -13390","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = 11*h - 12. Let n be a(-6). Let o = -66 - n. Is o a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (54\/(-168))\/((-54)\/(-72))?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-2 + -1)*1)\/(42\/8600). Let g = -612 - z. Find p such that -2\/7*p**3 - g - 24\/7*p - 12\/7*p**2 = 0.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 + 2 + 3)*(2 - 2 + b + b + 0 + 0 + (1 + 0 - 2)*(4*b + 2*b - 3*b))*(2 - 14 - 7) in the form n + y*b and give y.\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = 5*i**2 + 2*i + 1. What is h(-1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -62 - -21. Let z = l - -67. Solve v - 3*c + z = 5*v, 3*v = -c + 17 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n, 1 v, and 2 r when four letters picked without replacement from nvggrrnv.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = z**3 - 83*z**2 + 101. Determine h(83).\nAnswer: 101","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p and 1 q when two letters picked without replacement from jqpqp?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is -77343 less than or equal to 2\/19?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (1 + -2)*12\/(-4). Let j(z) = z**2 - 2*z - 4. Let i be j(-2). Let w be (-2)\/(i*(-2)\/12). Solve 0 = c*r - w*l - 4 - 2, -3*r + 16 = -5*l for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1087231 a multiple of 950?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -190\/1287 or 208?\nAnswer: 208","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c = s + 93 + 161, 3*s + c = -756. Let z = -236 - s. Solve -u - 4*u = -z for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 1143966465 to the nearest integer?\nAnswer: 184","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000009625 rounded to 6 decimal places?\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5*-1.25.\nAnswer: 6.25","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**39*a*a)\/a**(-41)*(a\/(a*a\/a**16))\/a**35)**(-2\/3) assuming a is positive.\nAnswer: a**(-124\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2696745 is divided by 1161.\nAnswer: 903","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is seven halves of a litre in millilitres?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -14 + (-12252)\/(-360) + -20\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-115)\/69)\/((-1)\/3). Suppose 0 = l + l + 3*i + 3, 4*l + h*i + 3 = 0. Is l + -1 - (-800)\/8 a multiple of 34?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from fpiuuiiiiuxi. Give prob of picking 1 u, 1 p, and 1 x.\nAnswer: 3\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-3\/7)\/(r*r\/r**(4\/9)*r))**(1\/70) assuming r is positive.\nAnswer: r**(-94\/2205)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -4*z + 9. List the prime factors of o(-10).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.538607 to 1 decimal place.\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7*a - a**4 - 2 - 7*a)*(-178*a + 66*a - 38 + 30).\nAnswer: 112*a**5 + 8*a**4 + 224*a + 16","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = 13*z**2 - 381*z - 786. What are the prime factors of f(-57)?\nAnswer: 2, 3, 7, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 27 minutes after 6:55 PM?\nAnswer: 7:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) be the third derivative of -i**7\/280 + i**6\/120 - i**3\/6 - 3*i**2. Let o(z) be the first derivative of k(z). Find the third derivative of o(q) wrt q.\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 25775243 or 1\/2?\nAnswer: 25775243","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4165748312?\nAnswer: 2, 11, 4303459","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 620548051 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*k - s = -2, -58*k - s - 28 = -55*k for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y + 3 = -4*s, -3*s - 2*s = -4*y + 27. Suppose 0 = 5*f + 6 - 16. Sort f, 4, y.\nAnswer: f, y, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -r**2 + 29*r + 315. Calculate v(26).\nAnswer: 393","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = 52*y**2. Let j(s) = s**2 + 2*s. Let p(l) = 6*l**2 + 11*l. Let u(h) = -22*j(h) + 4*p(h). Calculate u(z(f)).\nAnswer: 5408*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -183*b**5*f + 104*b**2*f + 196*b*f + 48*b - 2*f wrt b.\nAnswer: -3660*b**3*f + 208*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 minus -328.33?\nAnswer: 325.33","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = 2*m - m - 5 + 7*m. Suppose -2*b = u - 30, -b - 5*u = -4*b + 32. Calculate the remainder when j(4) is divided by b.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2*n**4 - 333935*n**2 - 4*n + 4362664 wrt n?\nAnswer: 8*n**3 - 667870*n - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Determine y, given that -3*y**4\/7 + 9625878*y**3\/7 + 9625884*y**2\/7 - 9625878*y\/7 - 9625881\/7 = 0.\nAnswer: -1, 1, 3208627","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 213 a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 1, n: 1, k: 2}. What is prob of picking 1 n, 1 t, and 1 k?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -1291*d - 4712. Let f be j(-7). Is 4322 greater than f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) be the second derivative of k**3 + k**2 - 25*k - 27. Suppose -11*f + 17*f = -24. Give i(f).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 36881789 to the power of 1\/8, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3000, 12622, 28668, 51132, 80008, 115290, 156972?\nAnswer: 205048","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 70660267?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**(-14))**(-9)\/(h*h**7*h)**8)**(7\/8) assuming h is positive.\nAnswer: h**(189\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 142733 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000203136 to 7 decimal places.\nAnswer: -0.0000203","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -261.817 - -280.64. Round g to one dp.\nAnswer: 18.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jj when two letters picked without replacement from jqjjqqj.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = 102*z + 101. Let a be f(-8). Let x = -419 - a. Does 4 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 969 - 969.1024. What is f rounded to 2 dps?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 15087 - 15074. What is the nearest to -0.3 in -1, 0.01, v?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 6 in -0.6, -2\/7, 14?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*x - 2 = -38 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = 5*z - 9. Let y be b(3). Suppose -n + y + 4 = 0. Let f be (-104)\/n + (-34)\/(-85). Is -11 smaller than f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -8683\/100 and -88 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) be the second derivative of -821*c**3\/6 + 1936*c**2 - 385*c. What is the first derivative of x(q) wrt q?\nAnswer: -821","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 251939333?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 1130471 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 65 a factor of 65?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 395 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3095?\nAnswer: 5, 619","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-177*s + 341*s + 546*s)*(4 - 5 + 9).\nAnswer: 5680*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**3\/x*x**4)**(-25))**(-28) assuming x is positive.\nAnswer: x**4200","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9147 = -1234*h + 4427 for h.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 14 - -254305?\nAnswer: 254322","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1081 - 712. Let p = -365 + q. Solve -j = -3*r - 4, 2*j - 4*r - p = -0*j for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 32 - 31 + u**3 + 0*u**3 + 0*u**3.\nAnswer: u**3 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 15 - 6. Let l = 10 - s. Let y = -0.1 + 0.4. Which is the closest to 0? (a) l (b) y (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -2*n**3 + 29*n**2 + 2*n - 38. Calculate x(0).\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = f + 2. Let l be i(0). What is the units digit of (l\/(-2))\/(1\/(-9))?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2505043027 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2 (b) -11553 (c) -2\/11 (d) 0.2 (e) 6\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-2)\/(-4))\/((-9)\/54). Let x = -6 + 5. Which is the nearest to x? (a) -0.5 (b) n (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence het when three letters picked without replacement from teqqmhhmllemqlqh.\nAnswer: 1\/560","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = h**3 + 11*h**2 - 2*h + 24. Let b = 381 - 391. Let v be l(b). Calculate the greatest common factor of v and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 5, e: 13}. What is prob of picking 1 c and 1 e?\nAnswer: 65\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9920 is divided by 148?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -11 + (4 + 1 - 4) + -17\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 2, -3, -1\/86, 379\/8, -4?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 112\/(-136) + 989625\/7395?\nAnswer: 133","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 5 + 20?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1953 is divided by 506.\nAnswer: 435","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 19454 and 426.\nAnswer: 58362","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*r**3 + 26070*r**2 - 3*r - 26070.\nAnswer: 3*(r - 1)*(r + 1)*(r + 8690)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = w**3 + 7*w**2 + 6*w. Suppose 4*v + 31 = 7. Let q be b(v). Solve 5*n + 0 + 25 = q for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -51040 = -6915*z + 6475*z for z.\nAnswer: 116","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1241 + 1232. Put 1, q, -12\/17 in increasing order.\nAnswer: q, -12\/17, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = b**3 - 6*b**2 - 6*b + 40. Let t be r(6). Solve -q - 3*l + t = 0, 4*q = 2*l - 0*l + 16 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i, 2 m, and 1 r when four letters picked without replacement from vivarravrmraarmrirm.\nAnswer: 7\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 728844?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -616 + 618.96. Let y = -2.56 + v. What is the closest to -1 in y, 3, -0.4, -0.07?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 11.5 - 15. Let h = 8.5 + f. Let n be 22\/4 - (-24)\/(-6). What is the closest to -1\/2 in h, -0.4, n?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (0 - 0) + (9 - -17). Calculate the highest common divisor of q and 26.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.909 plus 0.12?\nAnswer: 1.029","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 b when two letters picked without replacement from bdddbbbbbbdbbdbbbb?\nAnswer: 26\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert -23515 (base 8) to base 16.\nAnswer: -274d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2797*i**2 + 391576*i\/7 + 80\/7.\nAnswer: -(i - 20)*(19579*i + 4)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l and 1 s when two letters picked without replacement from lerhs.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -7*f - 3*f**4 + 6*f**3 + 0*f**3 - 6*f**3 wrt f.\nAnswer: -36*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25*y = -27*y - 2 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 5\/((-140)\/567) - 1\/(-4). Let s = u + 54. What is the tens digit of s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-10)\/(-15)*((-1)\/2)\/(1\/(-3))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 57 + 3 - 59*a**4 + 3 - a + 87*a**4 + 36*a**4 wrt a?\nAnswer: 768*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) be the second derivative of -s**5\/20 + 3*s**4\/4 + 3*s**3\/2 + 7*s**2 + 3*s. Let f be p(10). Solve f*x = -z, -2*x - 3*z + 1 = 11 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k and 2 n when three letters picked without replacement from {k: 2, z: 2, n: 5, g: 3}?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 33\/55 + 3\/(-5) - -3. Sort -1203, -3, l.\nAnswer: -1203, -3, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.13*-17.\nAnswer: 2.21","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = d**3 + d**2 + d. Let a(l) = -11*l**3 - 4*l**2 - 4*l - 20. Determine -a(j) - 4*y(j).\nAnswer: 7*j**3 + 20","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = 92*x**2 + 6*x + 3. Let o be 21 - 3*(-2 - -3). Suppose -3*h - o = -6*h - 3*v, -4*v = -3*h + 4. Is j(h) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6)\/(18\/(-30)*15\/(-12))?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 8*d**3*s**4 + 148*d**3 + 13*d*s**4 with respect to s.\nAnswer: 32*d**3*s**3 + 52*d*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -14 - -26. Suppose l = -3*a, -4*w + 2*a = -2*w - 10. Let u = 3 + w. Calculate the remainder when 9 is divided by u.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -7 + 15. Let v(j) = -j + 5. Let u be v(l). Suppose 0 = -5*f - 0*f - 20. Which is smaller: u or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = 3*z**2 + 17*z - 3. Let b be j(-6). Suppose -r = 4*v - 4 - 0, 0 = v + b*r + 10. Factor q**v - 2 + 3 - 1.\nAnswer: q**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 g when two letters picked without replacement from {j: 5, g: 5}.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -5.4 + 3.7. Let j = -1.97 + -0.03. Let l = c - j. Which is bigger: -1 or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -105\/412 - -1\/206. Which is smaller: h or -3\/5?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (16 - 18) + (-112)\/(-36)?\nAnswer: 10\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2*c**3*j**3 + 13195*c**3*j**2 - 30*j**3 + 76 wrt c?\nAnswer: -6*c**2*j**3 + 39585*c**2*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*a**4 + 25*a**3 - 5*a**2 - 105*a + 90.\nAnswer: -5*(a - 3)**2*(a - 1)*(a + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s + 21884 = 4*c, -4*s + 27358 = 7*c - 2*c. What is the thousands digit of c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -13556.359 to the nearest 10000.\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l*((l*l\/((l**(-12\/11)*l)\/l))\/l)\/l*l*l)\/(l\/(l\/(l**(-1\/6)*l))))\/(l**(1\/2))**46 assuming l is positive.\nAnswer: l**(-1303\/66)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 10 - 6. Suppose -u = 3*o + 200, 2*o + 130 = k*u - 3*u. Let h be o\/(-15) + (-4)\/10. Solve 13 - 33 = -h*l for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 379c6 + -490?\nAnswer: 37536","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 240 and 96.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -3*b - 4. What is the remainder when a(-10) is divided by 7?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15293389 a multiple of 454?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -8 - 1. Let z = -61\/20 - -14\/5. What is the second smallest value in -3, a, z, 1\/2?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 101 - 103. What is the remainder when 4 + (-1227)\/(-9) - d\/3 is divided by 18?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2536\/7 + 151579\/420. Let d = 117739\/15 - 7846. Calculate the common denominator of d and i.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2474\/3 + 835. Let c = -763 + 3869\/5. What is the common denominator of d and c?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -787, -1518, -2247, -2974, -3699, -4422, -5143?\nAnswer: -5862","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 146 + 10?\nAnswer: 156","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-2)\/(-7) + (-781)\/(-2485). What is the third smallest value in -5, -1\/4, 0, t?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2\/9, -313, -1\/8, -145?\nAnswer: -145","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*f + 3*p = -87 + 358, -4*f = 6*p - 4*p - 216 for f.\nAnswer: 53","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -4632 + 4632. Solve 14*n - 17*n + 5*i + 26 = a, -2*n - 16 = 5*i for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i**2\/8 + 395169*i\/4 + 790335\/8 = 0. Calculate i.\nAnswer: -263445, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*g + 2*g - 6*g + 5*g.\nAnswer: 4*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 1396 (b) 8\/3 (c) 1\/6 (d) -3 (e) 2\/11\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 827 is divided by 22.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + (sqrt(1088) - (sqrt(1088) + 1))**2 - sqrt(1088)*2*6) + -1.\nAnswer: -96*sqrt(17) - 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -9*-136*(-11)\/(-264)\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 - -3 - (-1365 + 1366).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 2\/(-7) - (-2)\/7. Let u be -1*(-4 + c) + 0. Let s be -2338 + (0 - -4) + u. What is s rounded to the nearest 100?\nAnswer: -2300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1086 + 1087. Put -2, a, -79 in decreasing order.\nAnswer: a, -2, -79","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -115 - 9*i**4 + 62 + 61 + i + i + i**4 to the form n*i**2 + v*i**3 + u*i + b + c*i**4 and give u.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -h**2 - 3*h - 2. Let x = 47 - 48. Let i be n(x). Let y be (i - (-10)\/2)\/(-1 - -2). Solve 0 = -4*a + 3*a + y for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 205 + -205.2. Let y be (-1)\/((-1)\/(-9))*3. Which is the fourth biggest value? (a) 0.5 (b) f (c) y (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/5? (a) 4\/3 (b) 46 (c) -2 (d) 5 (e) -328\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 - (-1 + 2) - (2 - 3).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8317903 is divided by 954?\nAnswer: 931","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) be the first derivative of -11*i**2\/2 - 9*i + 4. Let y be f(-9). Calculate the highest common factor of y and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -100 (base 2) to base 10\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*l - 9267 - 13*l + 0*l + 6*l + 7*l as a + x*l and give a.\nAnswer: -9267","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*o**5 - 21*o**4 - 45*o**3 + 81*o**2 + 12*o - 36 = 0. What is o?\nAnswer: -2, -2\/3, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: (-121)\/(839982\/195)*-4*(-9)\/(-30)\nAnswer: 3\/89","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1.55 - -3.95. Sort p, -0.2, -0.4.\nAnswer: -0.4, -0.2, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 83372 and 380?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 24.52 + -24.46. Is o equal to -216?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = 20*v**2. Let t(k) = -1006*k. Calculate t(c(i)).\nAnswer: -20120*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wnnttsu. Give prob of picking 2 n and 1 t.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1.455 + 1.465. Put 0.4, 4, 1\/5, g in ascending order.\nAnswer: g, 1\/5, 0.4, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*i - 0*i - 4*u + 20, -2*u = -4*i + 20. Let d be (-2)\/3*24\/(-16). Does 20 divide (-202*3\/i)\/(-1) - d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -22000231300 + 10101?\nAnswer: -22000221133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3465 divided by -3465.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) be the first derivative of -2*v**5\/55 - v**4\/22 + 2*v**3\/11 + 5*v**2\/11 + 4*v\/11 - 6. Find p such that l(p) = 0.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 7 + -5. Let j be 60\/((-40)\/8) + 12. Suppose j = -x - x + k. Solve 3*g + 0*b - 5 = 2*b, -4*b - x = -3*g for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 27 and 351?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -4*v**2 + 234*v + 140. Let l be r(59). Solve l*q = 25*q + 6 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 654 - 654 + 230*i - 49*i to the form r*i + f and give r.\nAnswer: 181","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = 82*d**4 - 5*d**3 - 5*d + 73. Let w(s) = 41*s**4 - 2*s**3 - 2*s + 37. Let t(z) = 2*f(z) - 5*w(z). What is the derivative of t(y) wrt y?\nAnswer: -164*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o + 2*r = 10, -4*o + 2*r = -2*o - 6. Suppose -4*y - 2*d + 18 = 0, 0 = -o*y - d - 9 + 30. Solve -5*l - g = 0, 0*l + 4*l = -2*g - y for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*z**2 + z**2 - 2*z**2)*(148*z + 47208 - 47208).\nAnswer: 592*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 13\/30 and -181\/1200.\nAnswer: 1200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 72 - -23?\nAnswer: 95","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 31*f - 13*f**3 - 31*f.\nAnswer: -13*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 44*h**4 - 5*h**4 + 19*h**4 + 47*h**2 wrt h?\nAnswer: 1392*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2098 divided by 1049?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 5136*c**3 + c - 10241.\nAnswer: 15408*c**2 + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1375 and 16750?\nAnswer: 125","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 698?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -497*u**5 + 3*u**4 + 12*u**3 + 119673*u**2.\nAnswer: -29820*u**2 + 72*u + 72","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10\/(-3) + 2 + 11\/(-275)*0?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Determine p so that 5*p**4 + 587*p**3 + 23049*p**2 + 305721*p + 118638 = 0.\nAnswer: -39, -2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -4*t - 3. Let g be b(-5). Suppose -2 + 17 = -p. Let a = g + p. Solve -q - 7 = -a*z, 2*z = -q + 3*q + 12 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 132746 (base 12) to base 8.\nAnswer: 1150246","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*y**3 + 3*y**3 + 14144 - 14144.\nAnswer: -y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.387 + 5.513. Let i = -9.9 + m. Which is the smallest value? (a) 5 (b) i (c) -5 (d) 3\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 552989 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = 3*a**2 + 6*a. Let m be l(-4). Suppose 4*r - 40 = m. Solve 4*h + 4*g + r + 0 = 0, 0 = -3*g - 6 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (28\/(-924))\/((195\/13)\/810)?\nAnswer: -18\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.06818 rounded to two decimal places?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 494 (b) 1 (c) 61 (d) 2 (e) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -r**3 - 12*r**2 + 7*r - 9. Let a be z(-13). Suppose -72*h = -a*h - 237. What are the prime factors of h?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 5116182, 5116070, 5115958, 5115846, 5115734, 5115622?\nAnswer: 5115510","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zk when two letters picked without replacement from vsvzvsk?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = 2*s - 10. Let w be q(6). Put w, -2, -7, -5 in decreasing order.\nAnswer: w, -2, -5, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -4\/6541 != -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 6 - -14. Suppose -4*b - 3*a - 19 = 0, -5*b = -5*a - 0*a - v. Is 1\/(((-1)\/19)\/b) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (1 - 1) + (-6 + -6 - -14)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f = 2*f + 5. Suppose 2*d - 4 = 2*u - 0, f*d - 10 = -4*u. Suppose 2*q - 3 - 21 = 0. Solve d*y + 2*h + q = 0, y + h + 21 = -3*y for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) be the third derivative of b**5\/30 + b**4\/6 - b**3\/3 + 105*b**2. Let p(r) = -r. What is 2*p(d) + u(d)?\nAnswer: 2*d**2 + 2*d - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve a**4\/7 + 4*a**3\/7 - 13*a**2\/7 - 4*a\/7 + 12\/7 = 0.\nAnswer: -6, -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v = 330 - 86. Suppose v = 4*f + 13. Is f a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 2 - -266?\nAnswer: 268","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8*t - 18 + 18)*(-4 + 0 + 2)*(2 + 2 - 2)*(-3*t**3 - 4*t**3 + 6*t**3) + 11*t**3 - 11*t**3 - 3*t**4.\nAnswer: -35*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in i - 3*i + 2*i + 8*i.\nAnswer: 8*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8110 is divided by 2702?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 71\/10 - 387\/20. Let z = 258\/7 - 2894\/77. Calculate the common denominator of u and z.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = s**3 + 9*s**2 + s - 3. Let o be p(-9). Let j be (1\/2)\/((-1)\/o). Which is the biggest value? (a) j (b) -0.1 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 4 + -2. Let f be (2\/s)\/(1\/5). List the prime factors of ((-2)\/f)\/((-2)\/50).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = o**3 + 2*o**2 - 412*o - 5077. Calculate w(24).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p = -z - 12, 3*z - p - 4*p + 44 = 0. What is the remainder when 26 is divided by (-106)\/z - 12\/(-16)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3\/4, 10\/3, -3\/5 in increasing order.\nAnswer: -3\/5, 3\/4, 10\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 14, -1\/18, -0.1?\nAnswer: 14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -a + 16. Let y be p(15). Suppose z - 7 = -y. What are the prime factors of 152\/z*(-30)\/(-20)?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*w - 11*w = -396. What is the highest common factor of w and 957?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 3*l - 4. Let g(s) = -8*s - 2*s**2 + 1 - 2 + s**l. What is the tens digit of g(-6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -82669\/22 + 3757. Let j be 445*(4 + 22\/(-5)). Calculate the common denominator of (3 + -2)*j\/(-8) and c.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 21\/(-28)*16\/(-6). Suppose 0 = -3*t - u + 31, -t + 0*t + 15 = -o*u. What is the third derivative of -3*b**2 - 2*b**2 + t*b**2 + 6*b**4 + 7*b**4 wrt b?\nAnswer: 312*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1684 to the power of 1\/9, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 2442 (base 5) in base 8?\nAnswer: 564","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3588?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = p**3 + 6*p**2 + 2*p + 7. Let z = -18 + 13. Is n(z) a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 5, 26, 49, 74, 101, 130?\nAnswer: 161","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2780 = 263*c - 258*c. What is the highest common factor of 4 and c?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l - 3 = -k, 2*k = 2*l - 2*k + 16. Suppose 3*q = 2*p - 241, l*p = -2*q + 3*p - 161. Let t = q + 137. Round t to the nearest 10.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (0 + -1)\/((-1)\/2). Suppose 0 = -108*l - 11*l - 8*l. Factor 3\/5*b**3 + 4\/5*b + l + 8\/5*b**d.\nAnswer: b*(b + 2)*(3*b + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 7095 and 407.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1331 = -380*i + 9309 for i.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -384*f + 4154*f - 338*f - 3476*f.\nAnswer: -44*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-44 + 4 + 1)*(-10*o**2 + 4*o**2 + 2 + 8*o**2).\nAnswer: -78*o**2 - 78","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p\/p**(2\/5)*p\/(p**3\/p))**39*((p\/p**(-2)*p*p*p)\/p*p*(((p*p*p**(-1))\/p)\/p)\/p*p)\/(p**(4\/7)*p**(2\/7)) assuming p is positive.\nAnswer: p**(-401\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7668 is divided by 87?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 13 + (2 + -2)\/3. Let g = b - 8. Suppose -g*n = -0*q - 5*q + 30, -2*q + 2 = -4*n. List the prime factors of q.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -24563*y**3 + 105*y**2 + 24611*y**3 + 39*y**2.\nAnswer: 48*y**3 + 144*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 74*y + 30 = 80*y. Suppose 3*i - 2*s - 21 = 0, -y*s - 15 = -0*s. Calculate the remainder when 89 is divided by i.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*j + 7*j = -2742. Suppose 3*l - 994 = j. What is the tens digit of l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 divided by -6?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -173 divided by -3.\nAnswer: 173\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d and 1 z when two letters picked without replacement from dffdfdffffzfffff.\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -39*t + 35*t + 5*j + 10, t + 4*j + 29 = 0 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 28277, 28278, 28279?\nAnswer: 28280","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2.5 + -12.5. Suppose 0 = -5*x - 20 + 5. Let p be (-25)\/(-20)*(2 + x). Which is the second smallest value? (a) p (b) q (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-9)\/3 - -10 - ((-2400)\/(-170) - 7)?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n = -z - 1207 + 1221, 3*z - 2 = 5*n. Let l(f) = -f**3 - 4*f**2 - 4*f + 2. Calculate the smallest common multiple of l(-4) and n.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 9, -5, -3\/5, 819, 4 in decreasing order.\nAnswer: 819, 9, 4, -3\/5, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*s = -6*s + 4 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 49637?\nAnswer: 7, 1013","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 8.87 - -0.13. Let y = g + -5. Let m = -36 + 36.4. Which is the nearest to -1? (a) y (b) m (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((8\/360*9)\/1)\/(-3)\nAnswer: -1\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*a - 23*a + 3*i = -55054, -a = -2*i - 11001. Does 21 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 137 - 71. Calculate the remainder when i is divided by 17.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(sqrt(208) + -1 + sqrt(208)))**2.\nAnswer: -144*sqrt(13) + 7497","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2.62 - 12.62. What is the second biggest value in -0.3, z, 1\/11?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 594 and 132?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1694*z + 1388*z + 2548*z.\nAnswer: 5630*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide -25480 by 728.\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 16478 and 13375642?\nAnswer: 1498","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -11 + 12. Differentiate -6 + 5 + j + 8 - 2*a wrt a.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -41.5, 1, 8, 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d = 8*d - 8. Let q be (12\/21)\/(d\/7). What is the third derivative of 3*k**2 - 6*k**3 - k**3 + k**2 + 4*k**q wrt k?\nAnswer: -42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 12*a - 48 + 12. Suppose 5*g = a*g + 434. Is 11 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5301104 (base 6) in base 11?\nAnswer: 165a93","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -66*v - 12. Let f(w) = -17*w - 1. Let a(t) = -4*f(t) + q(t). Calculate a(-4).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -1197 - 10*u**2 + 11*u**2 - 1833 - 1689 as i*u + f + r*u**2 and give f.\nAnswer: -4719","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 39 and 1053.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 125590113?\nAnswer: 3, 11, 761, 1667","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 59184.\nAnswer: 2, 3, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3.6 + 4.2. Do v and -0.3 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d + 0*d = 32. Suppose -235 = -d*x + 485. What is the remainder when (-12)\/(-6) + -1 + 85 is divided by x?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -r**3\/6 - 5896*r**2 + 1951730*r\/3 = 0 for r.\nAnswer: -35486, 0, 110","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-19)\/(-5) - (-16)\/(-20). Suppose 4*x - 18 = -2*c, -3*c = -0*c - 15. Suppose l*w - 37 = x*w. Is w a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 21631 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -16*r + 11 - 107 for r.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5143 + 10285 - 17*n**3 + n**3 - 5142.\nAnswer: -16*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -34*b + 35*b - 3 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 278.\nAnswer: 2, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -523, 3, -2, 22, -4 in descending order.\nAnswer: 22, 3, -2, -4, -523","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = p - 4. Let b be 200\/(-104) - (-6 - 474\/(-78)). Let c(k) = -2*k + 12. Suppose -3*t = 2*t + 35. Determine b*c(o) + t*v(o).\nAnswer: -3*o + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 21b7b12 (base 13) in base 10?\nAnswer: 10356335","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -345 - -0.02466.\nAnswer: -344.97534","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*q + y - 9, -y = q + y. Let m = 3 - q. Suppose -j + 8 = 3*j. Calculate the smallest common multiple of m and j.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1327 is divided by 95.\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = 4*p - 9. Let w = 26 - 19. Let n(h) = -h**3 - 3*h**2 - h - 1. What is the remainder when n(-5) is divided by d(w)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = 2*f. Let s(c) = -c - 1. Let d be (5 - -1)*4\/8. Let q(o) = -2*o + 3. Let l(k) = d*s(k) + q(k). What is l(z(t))?\nAnswer: -10*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + -2 + -4 + -42 + 52.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) be the third derivative of -1\/12*d**4 + 1\/15*d**5 + 0*d - 5*d**2 + 0*d**3 + 0. Is 19 a factor of m(-4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 87667 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q - 4*b - 12 = 0, 5*b + 6 = -q - 9. Suppose 0 = -5*f - 7 + 32. Suppose k - 3*k + 18 = 0. Solve 4*z - f*o = k, 2*z - 3*z + 4*o + 5 = q for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:02 PM and 9:56 PM?\nAnswer: 474","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = 377*v. Let b(q) = -3165*q**2. Give p(b(s)).\nAnswer: -1193205*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -53 + -1629?\nAnswer: -1682","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 81655657 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = 4*d**2 + 60*d + 24. Let z be h(-15). Which is the third biggest value? (a) -3 (b) 1\/2 (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/2? (a) -1 (b) -1\/12 (c) -2\/55\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-1)\/((-4)\/(-2138))*(-48 - -24 - -2)?\nAnswer: 11, 1069","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q + 86 = 5*f, -5*q - 2*f + 22 + 96 = 0. Calculate the remainder when 65 is divided by q.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = 176*g - 4. Let i be p(4). Suppose -l + i = 4*l. What is the highest common factor of l and 35?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.6? (a) -2 (b) 22 (c) -5 (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.2 + 0.2. Let a = -212.8 + 209.8. What is the closest to -1\/4 in 0.4, a, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 8.61416967653225 and 1?\nAnswer: 7.61416967653225","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o - 138 = -44. Suppose -3*t + 2*r = -4622 + 4576, -2*t = -9*r - 23. What is the remainder when o is divided by t?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 31\/2874 and 127\/690792.\nAnswer: 330889368","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 224936, 899722, 2024360, 3598850, 5623192, 8097386?\nAnswer: 11021432","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = 592*d**2 + 3*d - 18. Is q(-5) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 4 + ((-84)\/(-4) - 1). Let j be (-3)\/9 + 1352\/n. Suppose i - j = 9. What is the remainder when i is divided by 17?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -11 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -12ea78 + -1ca?\nAnswer: -12ec53","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 44836\/97 bigger than 461?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or -2\/17955?\nAnswer: -2\/17955","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:33 PM and 7:45 AM?\nAnswer: 552","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -145 - -150. Let f be (10 - 15\/a) + 1 + -5. Solve 0 = -f*g + 17 - 14 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 272*q + 9632 + 2185 - 393 for q.\nAnswer: -42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (87\/(-290))\/(12\/2).\nAnswer: -1\/20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 42026306 (base 7) in base 2?\nAnswer: 1101011111011001100011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 53 divide (-159)\/(3 + (-609)\/196)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/8 of a centimeter in micrometers?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -410951.8 to the nearest 100.\nAnswer: -411000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 143*l**2*t**2 + 2*l**2*t + 5*l**2 + l + 29917*t**2 wrt l.\nAnswer: 286*t**2 + 4*t + 10","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 11\/861 and 3\/7.\nAnswer: 861","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 126939?\nAnswer: 3, 17, 19, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put 63297, -789, 1, 4, 5 in ascending order.\nAnswer: -789, 1, 4, 5, 63297","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -10 - -13. What is the second smallest value in -1, -2, t?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -r**2 + 55*r - 1066. Determine k(13).\nAnswer: -520","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -34, -66, -98?\n\"Answer: -32*n - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rb when two letters picked without replacement from ucrbybyycyyyuubycu?\nAnswer: 1\/102","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7587272 + m**2 + 7587272.\nAnswer: m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 = -2*p + 3*z, 0*p - z + 5 = -p. Let c be p\/(-4)*(-1 - -13). Let d be ((-1)\/2)\/(3\/(-30)). Is d less than c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3)\/((675\/10)\/5)?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -105188 divided by 105188\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vqqqzvqv. Give prob of sequence vv.\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-7 + 2 + 3)*(-42*r**4 + 593*r**2 + 41*r**4 - 206*r**2) to l*r**3 + m*r**2 + p*r**4 + t + g*r and give m.\nAnswer: -774","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -12488\/39 - -6936\/13. Let p = t + -213. Find a such that p*a**2 + 0 + 2\/3*a = 0.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(2\/11))**(1\/58)\/(y**(-3))**(-40) assuming y is positive.\nAnswer: y**(-38279\/319)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a + 2 = -0*a. Suppose 5*s = 7*s. Let u be (36 + -36)\/(s\/(-1) - -1). Put a, u, -5, -2 in descending order.\nAnswer: a, u, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 7.6 and 0.1.\nAnswer: 0.76","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = 8629*l + 1432493. Determine z(-166).\nAnswer: 79","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 180 and 5902452.\nAnswer: 29512260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 41*i = 157341 - 157915 for i.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*v - 6*v + 116. What is the highest common divisor of 87 and v?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -63\/8 and 15\/7774?\nAnswer: 31096","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -38 times -5164\nAnswer: 196232","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h + 2*z + 15 = 0, -z + 0*z = 0. Suppose 5*t + t = 2886. Suppose -u - 2 = 0, 0*c + h*c - t = 3*u. What is the units digit of c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 + 61*t - 27*t + 61*t.\nAnswer: 95*t + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -171 - -198. Which is the third smallest value? (a) -3\/8 (b) i (c) 0 (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n - 29 = 5*w, 2*w - 16 = -n - 2*n. Suppose -n*m - 33 + 81 = 0. Suppose -m*l + 10*l = 102. Calculate the remainder when l is divided by 26.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -285433 and -3.8?\nAnswer: 1084645.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 - 10*f**2 - 1 + 1 + 4.\nAnswer: -10*f**2 + 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*i - 9, -d - 3*i = -5*i - 8. Which is the closest to -1\/3? (a) 3 (b) 4 (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 77b90 (base 15) to base 2.\nAnswer: 1011100111011000010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -19, -11\/108, 0.3 in decreasing order.\nAnswer: 0.3, -11\/108, -19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) be the third derivative of 0*b**4 + 0 + 4*b - 1\/15*b**5 + 0*b**3 - 12*b**2. Let l(k) be the second derivative of 5*k**3\/6 + k. Calculate l(a(h)).\nAnswer: -20*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -11*h**4 + 9*h**3 - 9*h**3 + (h**2 + h**2 + h**2)*(1 - 1 + h**2) + 16 - 16 + 3*h**4 to o*h**2 + l*h + f + u*h**3 + c*h**4 and give c.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 11 + -11. Suppose n - 5 = w, 2*a + 4*n - 32 = -2*a. List the prime factors of a.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 574 is divided by 18?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = 3*n + 14. Let a(b) = -2*b - 9. Let y = 10 - 18. Let v(z) = y*a(z) - 5*f(z). Let j(m) = m**2 - 2*m - 2. Let o be j(4). Give v(o).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 27? (a) -4\/9 (b) 3 (c) -3 (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -41 = -10*a + 29. What is the highest common factor of a and 4256?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-2382)\/((-5)\/(1 + -6) + -3). Let s = p + -298. What are the prime factors of s?\nAnswer: 19, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2070 and 1200?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 449? (a) 5 (b) 2\/7 (c) -3\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 14, -46, -146, -286?\nAnswer: -466","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 5 - 178?\nAnswer: -173","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1253*w + 803*w - 399*w + 591 - 591 to z + j*w and give j.\nAnswer: 1657","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 6\/(-3)*-1 + 3. Let x(b) = -b**3 + 5*b**2 + 6*b + 7. Let f be x(i). Let s = 5 + f. Calculate the greatest common factor of 28 and s.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -22241427*b**2. Let s(i) = -2*i. Calculate x(s(w)).\nAnswer: -88965708*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 779960 and 16683115.\nAnswer: 5735","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*j**3\/11 - 2666*j**2\/11 - 1173840*j\/11 - 170977032\/11 = 0. What is j?\nAnswer: -529, -402","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of z**4 - 3*z**3 - 9*z + 7712 wrt z.\nAnswer: 4*z**3 - 9*z**2 - 9","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -340*j = -384*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -43352 - -73681. Is j composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2 + 4 - 2) + -2 + -1 + 40?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -171 (base 11) to base 10\nAnswer: -199","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -148249440 divided by -123\nAnswer: 1205280","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) be the second derivative of -3*s**5\/20 + s**2\/2 - 30*s. Is l(-1) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5438 is divided by 5404?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = 2*x**3 - 25*x**2 - 12*x - 6. Let q be f(13). Sort 2, 1, q, -4 in decreasing order.\nAnswer: q, 2, 1, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -c + 2*c + 2. Let f = -13 + 18. Suppose f*o + 3 = 2*o. Sort c, o, -3.\nAnswer: -3, c, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = l**2 + 36*l - 138. Calculate m(3).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 5 + 2. Let w(p) = -10*p**2 + 9*p. Let s(v) = 20*v**2 - 18*v. Let g(h) = x*w(h) + 3*s(h). Find the second derivative of g(i) wrt i.\nAnswer: -20","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve y = -6*q + 24, -12*q + 16 = 2*y - 8*q for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 367*a**2*c**3*g - 1703*a**2*c**2 - a**2*g - 3*a*c**3*g - 104*a*c**3 + 3*a*c**2*g - 2*a*c*g - 3*c**2 - 17 wrt a?\nAnswer: 734*c**3*g - 3406*c**2 - 2*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/4, -2\/21, 1144126 in decreasing order.\nAnswer: 1144126, -2\/21, -1\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = 163*m**2 - 98*m. Let k(w) = -1140*w**2 + 685*w. Let s(h) = 15*i(h) + 2*k(h). What is the second derivative of s(a) wrt a?\nAnswer: 330","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6*z**2 + 9*z**2 + 108*z**4 + 27*z**3 - 110*z**4 - 2*z to the form a*z**4 + p*z + o*z**3 + m + v*z**2 and give v.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 67645.2 decades to years.\nAnswer: 676452","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -838684 divided by -29953.\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 53049*n**2 - 272*n + 272*n - 53047*n**2.\nAnswer: 2*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 - 5)*(-2 - 2 + 2)*(-3*j + 5*j - 4*j)*(1 + 0 - 3).\nAnswer: 40*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 63298198?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*f - 118 - 757. Let y = f + -154. What is the lowest common multiple of y and 9?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 74\/15 and 1\/3 + 94\/21 + -4.\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = 35*m + 5. Let f(y) = -18*y - 3. Determine -5*f(k) - 3*i(k).\nAnswer: -15*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -7135*i**2 + 542 + 669 - 240 + 3443 - 410 wrt i.\nAnswer: -14270*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -633.85500292 - 0.844\nAnswer: -634.69900292","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*l = -2*l + 5*b - 274808, 2*l - 78544 = 2*b. Does 32 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -4769\/13 - -367. Find u, given that -2\/13 - 2\/13*u**3 + 2\/13*u + i*u**2 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 47065.2 micrometers in meters?\nAnswer: 0.0470652","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (37 + 131 - 42)*(-4 + 4 + 2*m)*(2 + 5 - 4)*(-2 + 5 + 1).\nAnswer: 3024*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-8)\/(-5))\/(8\/20). Suppose 3*s - c = -5*w, -48 = -6*s + 2*s + 4*w. What is the units digit of s?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 108343, 216636, 324809, 432802, 540555?\nAnswer: 648008","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -12 - (17 - 46 - -16) - (15 - 12 - -75).\nAnswer: -77","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3*s**2 - 3*s**5 - 290 + 173*s**4 - 45 + 2*s**3 + 4*s**2 + 1077 - 235 wrt s?\nAnswer: -180*s**2 + 4152*s + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 18 - 9. Suppose -g*f = -2*f - 798. What are the prime factors of f?\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -5.3 - -4.9. Which is the second biggest value? (a) v (b) -0.5 (c) -24\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/(-10)*18*2345\/402 + -7?\nAnswer: 7\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) be the third derivative of -i**5\/60 + 13*i**4\/24 + 14*i**3\/3 + 36*i**2. What is the smallest common multiple of z(9) and 28?\nAnswer: 448","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -p - p - h - 5, -4*h - 12 = 0. Let l(r) = 10*r**2 + r + 1. Calculate l(p).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 128, -58, 31, 26 in descending order.\nAnswer: 128, 31, 26, -58","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*r**2 + 0*r**2 + r**2 + (0*r + 0*r + 3*r)*(-6 - 33*r + 50 - 42) to the form o*r**2 + z + i*r and give o.\nAnswer: -101","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.127954354 rounded to 4 decimal places?\nAnswer: -0.128","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -13 + 4. Let g(h) = -h**3 - 11*h**2 - 20*h + 2. Let p be g(t). Solve 0 = 3*z - 2*w + 5, -3*z + 0*w - p = w for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = b**2 + 15*b + 78. Let d be h(-12). Suppose 0 = -45*k + d*k + 366. Calculate the remainder when k is divided by (-2)\/(-6)*(125 + -2).\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) be the first derivative of -b**5 + 65*b**4 + 5*b**3\/3 - 130*b**2 - 1263. Determine i so that a(i) = 0.\nAnswer: -1, 0, 1, 52","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0 + -4. Let j(r) be the first derivative of -3*r**4\/4 - r**2 - 2*r - 1. Let q(z) = -4*z**3 - 3*z - 3. Calculate s*q(c) + 6*j(c).\nAnswer: -2*c**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -22*g**3 - 640*g**2 + 6113*g - 12727. Let j(p) = 15*p**3 + 425*p**2 - 4075*p + 8485. Let i(n) = -5*c(n) - 7*j(n). Let i(d) = 0. Calculate d.\nAnswer: -53, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 70598 is divided by 5881?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -4 + 0 - (6 + 6 - 12)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3 in 6, -36, -40\/3, -2\/17?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 0 + (-1)\/1 + (-14)\/(-18). Let o = 13 + -17. Let n = -6 - o. Which is the smallest value? (a) -4 (b) n (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 399 and 7581.\nAnswer: 399","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -19*l**2 + 1849160*l**3 + 19*l**2 + 1652011*l**3.\nAnswer: 3501171*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (79050\/675)\/(500\/(-30)) - -7?\nAnswer: -2\/75","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p + 4400 = 10*p + 2*g, 3*p = g + 2640. Solve 0 = -8*w - p + 856 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4367 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3 + 5 + 2 - 6 + 2*q**2 to the form f*q + p + m*q**2 and give p.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 624, 1125, 1626, 2127, 2628, 3129?\nAnswer: 3630","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 20*(4 + -5) - -4. Let v = -12 - w. Suppose -v*b = -h - 0*h + 45, 5*h = 4*b + 225. Is h at least as big as 45?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:41 AM and 2:02 PM?\nAnswer: 681","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -2933, -5717, -8495, -11267, -14033, -16793, -19547?\n\"Answer: 3*q**2 - 2793*q - 143","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = 17*x**3 + 6*x**2 - 44. Let a(o) = 16*o**3 + 5*o**2 - 43. Let k(g) = -6*a(g) + 5*p(g). What is the derivative of k(z) wrt z?\nAnswer: -33*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 43 + 6*x - 43.\nAnswer: 6*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 10, x: 3}. Give prob of sequence xggg.\nAnswer: 18\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: Let x be 2 + (0 - -2)*(-1659)\/(-42). Suppose o + 0 = 3*n + x, 316 = 4*o - 4*n. Does 18 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) be the third derivative of -w**5\/24 - 5*w**4\/4 - 25*w**3\/3 - 17*w**2 + 3*w. Solve z(v) = 0.\nAnswer: -10, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.4 in -10, 0, -4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 773 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 168, -1507, -3002, -4227, -5092, -5507?\nAnswer: -5382","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1674 and 54.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put 6, 1, 5, -28, -121, -10 in increasing order.\nAnswer: -121, -28, -10, 1, 5, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 48 + ((12 + 1 - 0) + (-28 - 0) - -2)?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) be the first derivative of p**6\/120 - p**4\/12 - 2*p**3\/3 - 3. Let u(r) be the third derivative of j(r). What is the first derivative of u(h) wrt h?\nAnswer: 6*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.11? (a) 2 (b) 4 (c) 0.5 (d) -5\/7 (e) 0.02\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2610*w - 5 = 2*a - 2607*w, 5*a = -w + 7 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 339 - (6 - 12\/6). Let m(w) = -1007*w**3 + 336*w**3 + 8*w + 335*w**3 + 7*w**2 + 6 + z*w**3. What is m(8)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1 = -5*r + a - 7, 172381*r - 172386*r = 3*a + 62 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1931, 1906, 1819, 1640, 1339, 886?\nAnswer: 251","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = 268*q**2 - 16332*q - 978. What is o(61)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 16\/231 and -55\/294.\nAnswer: 3234","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let -r**2 - 3*r - 9\/4 = 0. What is r?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*u + 5*r - 7*r = -4, 0 = 2*u - 4*r - 12 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.01975143888 to four decimal places.\nAnswer: 0.0198","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 555918647?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1 + sqrt(475))*6 - (1 + (sqrt(931) - (sqrt(931) - (sqrt(931) + 0)))))**2.\nAnswer: 230*sqrt(19) + 10076","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*n**3 + 2*n + 0*n - 2*n**3)*(-3*n + n + 4*n)*(-2*n + 0*n - 3*n).\nAnswer: 20*n**5 - 20*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -45, -50, -55, -60, -65?\nAnswer: -70","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 0.0102602 * 2\nAnswer: 0.0205204","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -7 - -4. Let q = 119 - 119.3. What is the smallest value in q, 0.1, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = 7*i**3 - 4*i**2 + 5*i + 5. Let m = 378 + -375. Is f(m) a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2\/3 (b) -2 (c) 3 (d) 145\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2169 - -2174. Solve -5*b = 2*y - 2 - 22, -4*b + 6 = -h*y for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 485 - 485.00424. What is m rounded to three dps?\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 5, -634160, 6\/5?\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.2 and -1.06.\nAnswer: -1.26","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -99 - 4*t**2 + 4 + 42 + 46.\nAnswer: -4*t**2 - 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2 + (1 - -12 - -3). Let v = 13 - k. Let a be 1*-2 + (-2)\/(-3). What is the third smallest value in 1\/7, v, a?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t = -n + 1934, -7*n + 4*n - 3 = 0. What is the tens digit of t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -247868 - 121799 - 2*n + 4*n - n.\nAnswer: n - 369667","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -259 = 3*f + 5*h, -360*f + 356*f = -4*h + 292. Sort -5, 5, 0, 3, f.\nAnswer: f, -5, 0, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 350543120.\nAnswer: 2, 5, 353, 12413","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 349682057 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*s - 5*s + 3*s + 2*s.\nAnswer: -2*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.2 - -647.09917.\nAnswer: 647.29917","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 23581598*d**6 - 2*d**2 + 567294*d - 9 wrt d?\nAnswer: 2829791760*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -14*b + 1626451 - 1626731 for b.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -5*q + 1. Is 4 a factor of m(-2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = 2*q**2. Let b(a) = -91808 + 91808 - a. Determine x(b(s)).\nAnswer: 2*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 769 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 20537?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 3*(-2 - -1) + 9. What is the highest common factor of u and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -487*g + 25872. What is i(53)?\nAnswer: 61","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) be the second derivative of z**5\/20 + z**4\/6 - z**3\/6 - z**2\/2 + z. Let w(l) = -l + 4. Let g be w(6). Let u be y(g). Sort -1, 0, u in ascending order.\nAnswer: -1, 0, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 29 and -906.\nAnswer: -26274","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 66 divide 652388?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0004130932 rounded to 7 dps?\nAnswer: -0.0004131","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22 - 8 = 3*o. Let d be 75\/o + 3\/2. Does 9 divide d + 2 + (-2 - -78)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (1 + 1)\/(8 + (-2 - 413\/70))\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -47\/106848 and -113\/19072368?\nAnswer: 38144736","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*p + 17*p = -68 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*d**3 + d**3 - 28520*d**2 - 682*d + 28525*d**2 in the form i + t*d**3 + h*d + a*d**2 and give t.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 731067, 731046, 731025?\n\"Answer: -21*k + 731088","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 210531648 to the nearest integer?\nAnswer: 14510","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express (5*o - 3*o + 0*o + 0 + 0 + o + (-3 - 1 + 3)*(-3*o - 2*o + 4*o) + 13*o - 5*o + 3*o)*(-2 + 2 + 3*o)*(2 + 2 - 1) as y + q*o + b*o**2 and give b.\nAnswer: 135","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13 + -10 - (16 - 1) - (292 - 337).\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6 - 14000\/(-896))\/((-14)\/(-8))?\nAnswer: 11\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put -49, 5, -0.47 in decreasing order.\nAnswer: 5, -0.47, -49","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let 20*l**5 + 4777*l**4 - 215469*l**3 + 1051012*l**2 - 1143076*l + 302736 = 0. What is l?\nAnswer: -1113\/4, 2\/5, 1, 4, 34","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.0318 - -151952.4.\nAnswer: 151952.3682","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the seventh smallest value? (a) -1 (b) 11\/6 (c) -153 (d) 0.4 (e) 32 (f) -3\/2 (g) -2\/3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 196741162.\nAnswer: 2, 19, 29, 178531","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -26758090 divided by -169355\nAnswer: 158","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 10301*b**2*d**3*f + 8*b**2*d + 2*b*d**4 + 263*b*f + d*f wrt d.\nAnswer: 61806*b**2*d*f + 24*b*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 17032.33 - 17032. Sort z, -1, -0.1, -5.\nAnswer: -5, -1, -0.1, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -480 + 542. Suppose 4*j - 201 = -5*v, -3*v + 0*j + 119 = 2*j. Calculate the remainder when h is divided by v.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/(-20)*5685\/20466?\nAnswer: -1\/36","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of c**2*q*r**3 - c**2*r + 2097*c*q**2*r**3 + 37*q**2*r + 335*q*r**2 wrt r.\nAnswer: 6*c**2*q + 12582*c*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 5*b**3*r*s + 2*b**3*r + 3725*b**3*s*y - 12*b**2*r + b**2*s*y - 3*b**2*s - 2*s*y + 3*s wrt b?\nAnswer: 30*r*s + 12*r + 22350*s*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 710 minutes after 3:10 AM?\nAnswer: 3:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -3 + 25?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -2554 + -3?\nAnswer: -2560","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -235, -523, -905, -1429, -2143, -3095?\n\"Answer: -8*k**3 + k**2 - 235*k + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1977 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 18 (base 16) to base 3\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 473 + -445. Let m(p) = -p**2 + p - 4. Let l be m(4). Let c be (l\/h)\/((-8)\/28). Solve -c*v + 2 - 10 = 0 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 440\/264*18\/(-80)\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(sqrt(120)\/sqrt(5))\/sqrt(8)*-2*3 - ((sqrt(18)\/sqrt(2) - sqrt(9))*-3)\/(sqrt(27)*-3 + sqrt(27)))**2.\nAnswer: 3888","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 485 minutes before 6:16 PM?\nAnswer: 10:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 13399?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand -367*m**2 + 193*m**2 + 120 - 110 + (2*m + 4*m - 4*m)*(0 + 0 + m).\nAnswer: -172*m**2 + 10","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -b**4 - b**3 - b + 2. Let t(v) = 19*v**4 - 2*v**3 - 218*v + 12. Let j(y) = -6*o(y) + t(y). Find the second derivative of j(c) wrt c.\nAnswer: 300*c**2 + 24*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4839254 is divided by 155.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-1)\/(-2))\/(3\/(-24)). Let q(l) = -9*l**3 + l**2 + 11*l - 2. Let t(o) = -11*o**3 + 2*o**2 + 13*o - 2. Let n(p) = -5*q(p) + 4*t(p). Determine n(x).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 0 + 60700?\nAnswer: 60700","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-7 + 13 - 37) + (599 - 589)?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -90596000 to the nearest one million.\nAnswer: -91000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -19039 to the nearest 100.\nAnswer: -19000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put -9, 7, -3, 3, 13 in ascending order.\nAnswer: -9, -3, 3, 7, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in four fifteenths of a century?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1407 and 14.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3, 92, 231, 414, 635, 888?\nAnswer: 1167","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (-12)\/26 + 1936\/1768*68\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: ((4 - -2) + -7)\/(9 + 576\/(-63))\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -63\/22 and 107\/72.\nAnswer: 792","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 906606967?\nAnswer: 7, 37, 71437","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:58 PM and 1:52 AM?\nAnswer: 354","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-9)\/4 + 5 + -3. Let d = 18 - 19. What is the closest to d in x, 0.2, 5?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2551449 + 1361449. What is n rounded to the nearest 10000?\nAnswer: -1190000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -4 + 8\/((-2)\/(-2)). Suppose -14 = -3*h + 4*a, 0 = -t*a - 10 - 10. Let f(y) = -y - 1. Let l be f(-1). Which is bigger: h or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.07399965 - -0.074. What is r rounded to seven dps?\nAnswer: 0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) be the first derivative of -3*o**2\/2 - 3*o + 1. Let t be w(-9). Suppose -5*q + 3*q = -t. Solve -4*a - q = -4*u - 3*a, 2*u - 6 = -4*a for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -1.1, 0.5, -0.08, 0?\nAnswer: -1.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = 2*a**2 - a. Let d be q(-1). Let w(c) = 118*c + 479. Let t be w(-4). Suppose k + 7*n + 3 = 8*n, 0 = 2*k - d*n + t. Is -14\/5 less than k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 399 minutes after 4:59 PM?\nAnswer: 11:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -22874 and 0.3.\nAnswer: -6862.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 336 + -7054\/21. Let i = -0.2 + 0.1. Let m = -12 + 12.4. Which is the closest to f? (a) i (b) m (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 28.4 to the nearest integer.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 10738 and 1768?\nAnswer: 730184","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q\/(q*q**(-1\/4))*q*q*q**0)**(-38\/9)\/((q**(2\/7)*q)**11\/(q**2\/((q*(q\/(q*(q*q**(2\/5))\/q))\/q)\/q))) assuming q is positive.\nAnswer: q**(-1417\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 7445 and 20?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-5*k + 2 - 2)*(-29*k**3 + 58 - 128 + 87 - k) to the form b*k**3 + m*k + a + i*k**4 + g*k**2 and give i.\nAnswer: 145","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-32)\/(-176))\/(17\/((-8)\/((-96)\/44)))?\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 33\/3 + (-99)\/9.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 7 (b) 3 (c) -0.05188 (d) -0.21\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d\/(d*d\/d**(1\/3)))\/d**(-3\/2)*(d**(-1)*d)**(1\/11) assuming d is positive.\nAnswer: d**(5\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -642 - 2\nAnswer: -644","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in eleven halves of a century?\nAnswer: 55","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -45, 4, -382 in ascending order.\nAnswer: -382, -45, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17 = d + 5*a, -13*a = -8*a + 15 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*o - 0 - 9, 15 = -2*n - 3*o for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 36969, 37006, 37043, 37080, 37117?\n\"Answer: 37*r + 36932","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-5)*o**(1\/5))\/((o*o**(1\/10)\/o*o*o*o)\/(((o\/o**(-1\/5)*o)\/o)\/o)) assuming o is positive.\nAnswer: o**(-77\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8 + 1 + (78 - (23 - -66))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u**4\/3 + 40*u**3\/3 - 77*u**2\/6 + 19*u\/6 = 0. Calculate u.\nAnswer: 0, 1\/2, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x + 15 = 4*x. Find the first derivative of 4*h**2 - x - 6*h**2 + 4 wrt h.\nAnswer: -4*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9 + 5*m - 2*m + 0*m.\nAnswer: 3*m + 9","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let 9*h**4\/5 - 126858*h**3\/5 + 169132*h**2\/5 - 56376*h\/5 = 0. Calculate h.\nAnswer: 0, 2\/3, 14094","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -187 * -3.19\nAnswer: 596.53","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: ((-57)\/6)\/((-78)\/(-546))*4\/(-14)\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25584\/7*r - 53792\/7 + 648\/7*r**2 + 4\/7*r**3 = 0. What is r?\nAnswer: -82, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -7*m**2 - 15*m + 8. Let s be n(-11). Let c = 2196 + s. What is the common denominator of (-18)\/117 - c\/78 and -111\/10?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = 2*v**2 - 233*v - 17733. What is k(169)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -1107600 to the nearest one hundred thousand.\nAnswer: -1100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -215, -3, -6, 1012 in decreasing order.\nAnswer: 1012, -3, -6, -215","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -37056, -36830, -36606, -36384, -36164, -35946, -35730?\nAnswer: -35516","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13587175.\nAnswer: 5, 7, 77641","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 27 + -12. Let y(l) = -10 + z + 2*l - 7. Let m be y(21). What is the highest common factor of 10 and m?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 5, l: 3, j: 4, a: 4, g: 3}. What is prob of sequence gl?\nAnswer: 1\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Are -32166\/7 and -4595 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 3691458?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5*(-96)\/(-540)*3*(-45)\/(-10).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-29 + 29 + 21*k + 115*k)*(27*k**3 - 154*k**3 + 3*k**3 + (-4 + 4 - 1)*(k**3 + 2*k**3 - k**3) + 0*k**2 - 2*k**3 + 0*k**2 + 0*k**3 + 0*k**3 - k**3).\nAnswer: -17544*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (11 + -12 - 46\/(-45))\/(80\/1545) and -41\/80.\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -61 = 2*n - 69. Suppose -44 = n*h - 3*g - 12, -35 = 3*h - 5*g. Let f(x) = 2*x**2 + 4. Let m(b) = 2*b**2 + 5. What is h*f(r) + 4*m(r)?\nAnswer: -2*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1379 = 326*x - 238*x - 235 for x.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*q - 52*j = -50*j + 16, -33*j = q + 13*j + 140 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 106 divide 11203882?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*x = 4*x + 3, 4*o - 4 = -4*x for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6 + 3*k**2 + 4*k**2 - 3*k**2 to s*k + b + h*k**2 and give h.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -23 - -43. Suppose -18*l - 72 = -18. Let n = g + l. Solve -5*x + c = 2*c + n, 5*x + 3*c + 11 = 0 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -0.1 and 12\/7 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 74491 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-17*v - 116 + 116)*(2*v**3 - 4*v**3 + v**3) - 14*v + 14*v - v**4 to m*v**3 + g*v**4 + q*v + x + s*v**2 and give g.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 24500 + -24496. Let j = 5 + -5.03. What is the nearest to 2 in j, v, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u and 1 p when two letters picked without replacement from {p: 2, u: 2, c: 3, r: 9}?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = 1 - 11*u**3 - 3*u**2 + 12*u**3 + 3*u - 3. Let h be j(2). Suppose 5*t - 5 - 5 = h. What is the highest common factor of 16 and t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 6 and 364.\nAnswer: 1092","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -31\/37485320 and -9\/1256.\nAnswer: 37485320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 20778.1854 hours in weeks?\nAnswer: 123.679675","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (10*q + 7*q - 3*q)*(251*q - 13*q - 72*q + 199*q) + (3 - 2*q**2 - 3)*(2 + 1 - 2) + 2*q**2 + 0*q**2 - 5*q**2.\nAnswer: 5105*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Total of -45.2 and -127.8.\nAnswer: -173","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -10 + 15. Solve -4*n - 2*t - t = 11, -2*t - 5 = k*n for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 68600, 137190, 205780, 274370?\nAnswer: 342960","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d + 124*x + 58 = 121*x, -5*x - 54 = -2*d. What is the remainder when 984 is divided by d?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 609094997*s**3 + 573909826*s wrt s?\nAnswer: 3654569982*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 24183993 to the power of 1\/5, to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*a = -y - 776 + 1552 - 762, -2*y + 28 = -18*a for y.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = 21*z**2 + 22*z - 50. What is b(2)?\nAnswer: 78","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2 by -2597.\nAnswer: -2\/2597","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1695679, -1695673, -1695681, -1695709, -1695763, -1695849, -1695973, -1696141?\nAnswer: -1696359","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 2\/4 - 150\/60. Suppose 4*l - 2*a - 222 = 0, -2*l + 5*a = 3*a - 108. Calculate the remainder when l is divided by 0\/q + 78\/13 + 25.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 4529870 and 536.\nAnswer: 18119480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -23 in -699, 2, -0.11?\nAnswer: -0.11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(240)*5 - sqrt(15))*-3)\/(sqrt(50)\/(sqrt(10) - sqrt(160)*5)))**2.\nAnswer: 3518667","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/1)\/((-6)\/(-6))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -4*a**2 + 15*a + 16. Let r be u(5). Let d(g) = 8*g + 66. Calculate d(r).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 6\/(-16)*4\/(-6). Let k be (5\/(5\/(-2)))\/(-2). Let n be (k + (-4)\/6)\/(-1). Which is the closest to n? (a) 2\/5 (b) s (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (((-1026)\/(-247))\/(-18))\/(396\/(-3432))\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -2*q - 3. Let j(v) = -v - 4. Suppose -10*o + 5*o + 2*z + 15 = 0, -3*z = 0. Let a(n) = o*j(n) - 2*x(n). Determine a(-6).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -s**3 + 28*s**2 + 171. Give w(28).\nAnswer: 171","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -18 - -31. Let y = d - -2. Calculate the remainder when y is divided by 4.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4705750 by -67225.\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (320\/30 - 10)\/(14\/(-330)). Let x be ((-30)\/4)\/(5\/10). Which is bigger: p or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (4*b - b - 4*b)*(-21*b + 45*b - 33*b) as i*b + c + j*b**2 and give j.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-17 - (-11220)\/684)\/((-98)\/(-182)) - 16\/(-14).\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1810 is divided by 63?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 8.8566266 to zero decimal places.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*j - 2*j = -4*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 161\/21 - ((-1)\/(-3) - 4\/6).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1802779995?\nAnswer: 3, 5, 89, 15173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 10148, 15752, 21352, 26948, 32540?\n\"Answer: -2*i**2 + 5610*i + 4540","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -79111893 divided by 3\nAnswer: -26370631","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.057 + 6.943. Let z = -9 + p. Which is the smallest value? (a) 2\/3 (b) z (c) 1\/4 (d) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 + -17 - 0 - (-10 + 3).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (43 - 155 - 212)*(-h + 2*h + 0*h) in the form g*h + w and give g.\nAnswer: -324","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b + b + 35 = 2*p, 36 = 3*p - 4*b. Let h = p + -16. Suppose 5*x - 5 = h, -4*i + 2*x = 8 - 2. Sort 3, 0, i.\nAnswer: i, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*l - 2*a - 16 = 0, 2609*l + 4*a = 2604*l - 19 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/72 at most as big as 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 50959.377 minutes in weeks?\nAnswer: 5.05549375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1874*u**3 + 1503.\nAnswer: -5622*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 83\/4 and -2\/161535.\nAnswer: 646140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1 + -3. Let k be 636\/15 - ((-39)\/15 + 3). Let r be -1 + (2 - 1) + (-7)\/k. What is the closest to -1 in r, 4, z?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 834.712 to the nearest 100.\nAnswer: 800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*sqrt(1368))\/(-3*sqrt(50)).\nAnswer: -12*sqrt(19)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*v - 119 = 6*v. Let k = 7.17 - 0.47. Let n = k - 7. Which is the second smallest value? (a) v (b) n (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 229 is divided by 34?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (948 + -946)*(-1305)\/(-10)*1\/(-3).\nAnswer: -87","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 2, u: 2, x: 5, s: 1, g: 2, c: 2}. What is prob of sequence xu?\nAnswer: 5\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 9.475177 nanometers in micrometers?\nAnswer: 0.009475177","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 4891?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9823638 is divided by 458?\nAnswer: 454","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 4350 + -8699\/2. Let h(a) be the third derivative of 1\/4*a**4 - l*a**3 + 0*a + 23*a**2 - 1\/20*a**5 + 0. Factor h(k).\nAnswer: -3*(k - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6173643835 rounded to the nearest one million?\nAnswer: -6174000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2\/13 - (-402)\/(-78). Let l be 10\/3*(-9)\/r. Solve 0*a - 2*a + l = 0 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -53\/18 + 28\/9. Let y = 0.1646 - -0.1354. Let l = 3 + -2. Sort x, y, l.\nAnswer: x, y, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h + 2*v - v + 19 = 0, -5*v = 20. Suppose -34 - 36 = -h*f. What is the units digit of f\/35 - (-3)\/5?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3 - (-109)\/(-36)) + 11\/44.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 199640?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -122, -270, -422, -578?\nAnswer: -738","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -564808, -1129889, -1694970?\n\"Answer: -565081*x + 273","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**6\/x*x\/(x*x*x*x**22*x))\/(x\/(x**28\/x*x)*x\/(x**(-2\/61)*x*x*x)) assuming x is positive.\nAnswer: x**(547\/61)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = 2*q**2 + 5*q + 5. Let s be a(-4). Suppose s - 2 = 5*x - 5*r, 5*x = -2*r + 36. Suppose -40 = -x*t + t. What is the remainder when 23 is divided by t?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b**4\/3 - 9*b**3 + 32078*b**2\/3 - 411480*b + 2340800\/3 = 0. Calculate b.\nAnswer: -209, 2, 40, 140","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2 = 2*i + c, 39*c - 40*c = 3*i - 4 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -q - 4 = 5*n + 6, 0 = 2*q - 4*n - 22 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 58422022 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: Let g(p) = 11*p + 2. Let f(d) = -2*d**2. What is g(f(o))?\nAnswer: -22*o**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*b**3\/9 - 8*b**2\/9.\nAnswer: -2*b**2*(b + 4)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 0, -5, 5, 2 in descending order.\nAnswer: 5, 2, 0, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -290, -3, 3, 8 in descending order.\nAnswer: 8, 3, -3, -290","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = 33*d**3 + 4*d**2 - 2*d - 2. Calculate x(1).\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22 = -3*d + 2*s, 5*d = 5*s - 0*s + 40. Let n be 3 - 3 - (1 + 0). Let q be (-2 + 2 - 0)*n. Solve q = -3*w + w - d for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = n**2 + 7*n - 8. Let i be j(-8). Suppose -7 = 4*c - i*v + 3*v, 4*c - 23 = 3*v. Solve 0 = -5*p + 25, 14 = -3*a - p + c*p for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(162) + 2*sqrt(162) + 4)*6*6.\nAnswer: 144 + 972*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Product of -8 and 52.3.\nAnswer: -418.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -2 - (-3)\/(-1)*-2. Suppose r*n = n. Suppose 2*i = -4*c + 12, -5*i - 3*c + 5 + 18 = n. What are the prime factors of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10276*l + 10272*l + 5*n = -2, 2*l - 3*n - 2 = 0 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/7? (a) -2\/9 (b) 0.4 (c) 1\/3 (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.13 + -3.87. What is the nearest to 6 in 5, 2\/13, p?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = f**3 + 7*f**2 + 3*f + 11. Let w be y(-7). Let r(t) = t**2 + t + 2. Let z be r(-8). Let l = z + w. List the prime factors of l.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s - 5*d = -29, -18 = -s - 2*d - 5. Let j(c) = c**2 - 7*c - 6. Let b be j(s). Let r(i) = -4*i - 3. Let y(m) = 5*m + 4. Determine b*r(g) - 5*y(g).\nAnswer: -g - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 30, -1, -8\/29?\nAnswer: -8\/29","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-38 - 7)\/(-9) - -5?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 525\/56 + -13 + 3\/(-8) + 6. Solve -4*p + 4*f - 16 = 0, 3*p + 2*f = -x*f - 12 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 93\/33 + 20\/110. Solve 3*v - 8*v - t*z + 35 = 0, v = 2*z - 6 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 147 or 0.2?\nAnswer: 147","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -15364 + 15366. Solve 2*j - g + 4*g + 13 = 0, 0 = -2*j + w*g - 8 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 91 a factor of 0 + -40 + 28 + 29*669?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -12*i - 26. Let r(y) = 7*y + 25. Let b(n) = 2*h(n) + 3*r(n). Suppose g = 1 + 6. Let w be b(g). Solve -w*a = -a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -103 - -102.7. Which is the biggest value? (a) h (b) -188 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -270 = 5*u - 5*o, 0*u - 162 = 3*u - 5*o. Let m = -107\/2 - u. Which is the third biggest value? (a) 0.1 (b) m (c) -0.2 (d) 15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 131 + -54. Is m a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2257175 and 475?\nAnswer: 42886325","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -1432390 (base 10) in base 14?\nAnswer: -294018","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 7\/((-364)\/(-8)) - 847326\/(-936). Suppose 0 = -2*m + 4*m - 1812. Let z = m - x. Calculate the common denominator of z and 9\/4.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.02, 1, 6, 3, -11 in descending order.\nAnswer: 6, 3, 1, 0.02, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 259.26207 months to years.\nAnswer: 21.6051725","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 219 - -185. What are the prime factors of s?\nAnswer: 2, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: (1\/3)\/((-107)\/(315864\/(-12)))\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve y = 6*y + 25 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put 3.3301, -5, 2\/5, 0.08 in decreasing order.\nAnswer: 3.3301, 2\/5, 0.08, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 22671782303 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 72477 a multiple of 140?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-1)\/(9\/3) + 91\/156. Let o = -2.01 - -0.01. Let v = 1 + o. Which is the closest to k? (a) 5\/3 (b) v (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -4 + 10. Suppose -35 = -p*v + v. Let q(j) = -7*j + j**2 + v*j. Let y(m) = m**2. Determine q(y(f)).\nAnswer: f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand 22 + 11*c - 26 + 8*c + 0 + c + 0 + (c + c - 4*c)*(1 + 1 - 3) + 0*c + 0*c - c + (0 + 1 + 0)*(-c + c - c).\nAnswer: 20*c - 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.5, -32.62, 19?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) be the third derivative of -3*q**7\/70 + 151*q**6\/120 + 152*q**5\/3 - 11*q**2 + 2*q. Find the third derivative of g(i) wrt i.\nAnswer: -216*i + 906","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.1 and 30.\nAnswer: 30.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -406 - -765\/2. Find the common denominator of s and 3\/(-20)*-1*66.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6)\/(-5)*(-60)\/112*-2.\nAnswer: 9\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1357\/5 - 4\/10. Let f be (-340)\/((1\/6)\/(3\/(-9))). Let u = f - l. Is u a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -4.99999956 + 5. What is l rounded to 7 dps?\nAnswer: 0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 3 - 3 - (0 + -13 - -4). Let i(z) = -f*z - 6*z - 3*z - 16*z. Let r(k) = 9*k**2 + 10*k**2 - 17*k**2. What is i(r(h))?\nAnswer: -68*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 724428*s**3 + 548895 wrt s.\nAnswer: 2173284*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 11757508 to the power of 1\/5, to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*g**2 - 4*g**2 + 6*g**2 + (g - g - 3*g)*(0*g + g - 2*g).\nAnswer: g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-15)\/(-10))\/(2\/60). Factor 55*y**4 + 112*y**2 + 78*y + 20 + 68*y**3 + k*y**4 - 2*y**5 - 88*y**4.\nAnswer: -2*(y - 10)*(y + 1)**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*o**2 + 4127022*o + 66031584.\nAnswer: 3*(o + 16)*(o + 1375658)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -31*g*j**3 + 123*g*j**2 + 11491*g*j - 2*g - 57*j**2 + 79*j + 1 wrt j.\nAnswer: -186*g*j + 246*g - 114","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 11, y: 2, i: 6}. Give prob of picking 3 i.\nAnswer: 20\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) be the third derivative of 719*m**8\/336 - 2*m**7\/105 - 193*m**5\/60 - 1277*m**2 - 1. What is the third derivative of l(q) wrt q?\nAnswer: 43140*q**2 - 96*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -h**2 - 3*h + 2*h**3 + h - 35*h + 12*h to y*h**2 + k*h + v*h**3 + w and give k.\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 5 + (-4 - 3) + 23. Let h(j) = -s*j**2 + 8*j**2 + 4*j**2 + 11*j**2 + 2*j**2. Let b(o) = -5*o. Calculate b(h(v)).\nAnswer: -20*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-2 + 0 + 1)*(-7 + 3 - 1) - 2 + 2 + 4)*(-33 + 33 - 3*h).\nAnswer: -27*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) be the third derivative of 5*g**4 + 389*g**3\/3 + 2*g**2 - 230. What is the first derivative of f(l) wrt l?\nAnswer: 120","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -40 - -56. Suppose 4*n + l = -0*n. Which is the third biggest value? (a) -0.02 (b) -3\/5 (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-10)\/8 + (-25)\/(-100)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1229?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.125 - -4.875. Let p = -478\/21 + 67\/3. Let b = 7 + -4. Put b, p, i in increasing order.\nAnswer: p, b, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 3498?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1167 - 466. What is the hundreds digit of w?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-32)\/(-20) + (-8)\/(-20).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + 3*((sqrt(275)*-1 - sqrt(275)) + sqrt(275))*1*-3*5 + 1 + -2)**2.\nAnswer: -900*sqrt(11) + 556879","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 82+-28726919\nAnswer: -28726837","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-10)\/(-105) + (1 - (0 + 1)). Which is the closest to 1? (a) -4 (b) -1\/5 (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -11*f**3*v**2 - 20*f**3 + 8*f - 3*v**3 + 8*v**2 wrt v?\nAnswer: -22*f**3*v - 9*v**2 + 16*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, -1, 2, -81, -2812, 3 in increasing order.\nAnswer: -2812, -81, -1, 2, 3, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express -32 + 14 - 5*x**3 - 3*x**2 + 18 in the form r*x**3 + n*x + h*x**2 + b and give r.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0301471 to 2 dps.\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.3? (a) 2 (b) -0.2 (c) 2\/53\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -2*n**3 + 8*n**2 - 4*n + 10. Let c = -47 - -41. Let z be y(c). Suppose -6*p - z = -2*r - 2*p, 2 = -p. Is r a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -294, -294, -292, -288, -282, -274?\n\"Answer: k**2 - 3*k - 292","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a*a**14*a**(1\/15)\/a)\/((a*a**(2\/7)*a)\/a)**(-30) assuming a is positive.\nAnswer: a**(5527\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 3 + 0)*(110*v + 1 - 32*v + 76*v).\nAnswer: -154*v - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -193*t**3 + 40*t**2 - t - 2. Calculate the remainder when z(-2) is divided by 284.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1050 divided by 23?\nAnswer: -1050\/23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-1 + (-6)\/(-4))\/(18\/252). Let a(b) = -5*b - 1. Let i(c) be the first derivative of -9*c**2\/2 - 2*c + 1. Determine u*a(g) - 4*i(g).\nAnswer: g + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 769 + -765. Suppose -2*k = -2*v + 1274, -o*v - 4*k - 1264 = -6*v. Calculate the remainder when v is divided by 28.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -246*t + 33*t - 14*t - 5902 for t.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -3940.7826 rounded to zero dps?\nAnswer: -3941","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = p**3 + 33*p**2 - 36*p - 64. Let l be r(-34). Suppose -l*f - 28 = -3*g, 5*g + 7*f - 6*f - 16 = 0. Solve -x - 9 = 4*y + 7, -5*x + 16 = -g*y for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4740 by -30.\nAnswer: 158","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3372 + 13261. What is the hundreds digit of v?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -4*d + 2. Let x be i(3). Let o be x\/84 + (-6)\/(-21). Let w = 217\/3 + -73. Sort w, 2\/7, o in descending order.\nAnswer: 2\/7, o, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j + 140 = 4*b, -j - 30 = 14*b - 10*b. Suppose 0 = 4*u - 1 - 23. Does 7 divide ((-221)\/j)\/(1\/u)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -30948, -59051, -87144, -115221, -143276?\n\"Answer: n**3 - n**2 - 28107*n - 2841","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0003299347 rounded to six decimal places?\nAnswer: -0.00033","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3464500 or -3464499?\nAnswer: -3464500","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1079 - -1059. What is the second smallest value in -0.11, -3\/2, -2, d?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1338809134 to the nearest integer?\nAnswer: 1102","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -1863 + 13?\nAnswer: -1850","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 45414 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-3 - (-29)\/9) + 20\/(-9). Let c = 2 - 3. Let n be 1 + c + (-4)\/(-14). What is the third biggest value in n, -3\/5, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) be the third derivative of s**8\/56 + 106*s**7\/105 + 218*s**4\/3 + 383*s**2. Find the second derivative of o(j) wrt j.\nAnswer: 120*j**3 + 2544*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6317 = -3*t + 4*t. Let z = -3318 - t. Is z composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -3, -0.04093, 4\/13, -1\/6, 5, 1?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = d - 5. Let h(n) = 84. What is h(m) + 21*z(m)?\nAnswer: 21*m - 21","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (25*f**2 + 37*f**2 - 3*f**2)*(-91 - 34 - 13)*(1 - 1 - 1) to the form d + m*f + i*f**2 and give i.\nAnswer: 8142","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -7.24 + 7. Let j = g - 0.06. Which is the second biggest value? (a) j (b) 0 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 1, o: 5, v: 12, i: 1}. What is prob of picking 1 i and 2 v?\nAnswer: 22\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 27041 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -53 - 7 = 15*t. Sort -2, -19, t, 2 in descending order.\nAnswer: 2, -2, t, -19","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -348*q + 1067*q - 367*q - 2 + 445*q**2 - 350*q in the form r + c*q + d*q**2 and give d.\nAnswer: 445","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 divided by -131212?\nAnswer: -5\/131212","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Are 25.82 and 1\/4 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 558 minutes before 6:29 AM?\nAnswer: 9:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -135*i**3*u + 2697*i**3 - 476*i**2*u - 2*i**2 - 2*i*u + 222*i wrt i.\nAnswer: -810*u + 16182","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*((1*sqrt(980))**2*6 + -2 + -5).\nAnswer: -35238","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1011201201 + -122000?\nAnswer: -1012100201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 707?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -34*p - 3*p**2 + 0*p**2 + 3*p**2 + 2*p**2.\nAnswer: 2*p**2 - 34*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 - (-26 + 38 + -30).\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = 5*m - 11. Suppose 0 = 4*z - 4*v - 32, 3*v + 3 = -7*z + 3*z. Let w be o(z). Suppose -w*n = -148 + 8. Is n a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -202202010 (base 3) in base 11?\nAnswer: -103a9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.9111439 millennia in years?\nAnswer: 911.1439","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide (2\/3)\/(20\/450)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 27 divide 383?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -159*f - 4*l = -161*f - 16, -f + 5*l = 26. Solve -a - 11 = -f*u, 0 + 27 = 3*a + 3*u for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 7.02512 to the nearest integer.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.461 times -5?\nAnswer: -2.305","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 3734410349 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -3.11 - -3.21. What is the nearest to -7 in -3\/2, -3, -1\/2, c?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 60 and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + 5*(4 + 2*sqrt(252))**2*-6.\nAnswer: -30716 - 2880*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 13? (a) -0.1 (b) -59 (c) 2\/17 (d) 5 (e) -0.17\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + 4*(3 + 1 + (2 + sqrt(475) + sqrt(475) - sqrt(475)) + 0 + sqrt(475) + (1*(0 + sqrt(475) + sqrt(475)) - sqrt(475)) + sqrt(475)))**2.\nAnswer: 3040*sqrt(19) + 121961","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of ((-7623)\/605)\/(6\/(-100))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) -7 (b) 2 (c) -10\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = m**2 + 1. Let r(k) = -2*k**3 + 4*k**2 + k + 6. Let v(x) = -2*x**3 - 3*x**2 + 2. Let u be v(-2). Give u*l(y) - r(y).\nAnswer: 2*y**3 + 2*y**2 - y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1.1 + -1. Let k = 4 - 20. Let g = k + 13. Which is the nearest to i? (a) -2\/11 (b) 0.4 (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -8112*i**3 - 169*i**2 - 169. Let w(x) = 145*x**3 + 3*x**2 + 3. Calculate -6*q(g) - 338*w(g).\nAnswer: -338*g**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = 250*z - 1603. What is h(8)?\nAnswer: 397","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1.1679 + 45.2021. Round t to the nearest ten.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -3 (b) 703 (c) -0.4 (d) 4\/313\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -16 - -18. Suppose 3*p = 5*p - u*f - 60, 2*f = -p + 36. Is p a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -436+-0.1\nAnswer: -436.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:17 PM and 2:47 AM?\nAnswer: 630","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 27 a factor of 26595?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 3c68 (base 16) in base 13?\nAnswer: 7067","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -36 - -36.24. Let o = -0.06 - q. Which is the third smallest value? (a) -1 (b) 0.4 (c) 3\/2 (d) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0155 times 0.2?\nAnswer: 0.0031","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*2*(sqrt(252)*3 - sqrt(252) - sqrt(252) - sqrt(252))*-4)**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 174, 255, 390, 579?\n\"Answer: 27*g**2 + 147","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/2, 2\/5, 266 in descending order.\nAnswer: 266, 3\/2, 2\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -4*o**3 + 150*o**2 - 73*o - 34. Let y be h(37). Solve 0 = -y*n + 34 - 19 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-123*h**3 + 252*h**3 - 17 - 126*h**3)*(3*h**2 - h**2 - 3*h**2).\nAnswer: -3*h**5 + 17*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k + 4*k = -z - 25, 0 = 2*z - 5*k - 10. Let f be ((-12)\/(-10))\/(2 - (-8)\/z). Suppose f*i + 39692 = -45508. What is i rounded to the nearest ten thousand?\nAnswer: -30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-6*-1*sqrt(252) - (sqrt(252) - -3*(sqrt(252) + sqrt(252) + (sqrt(252) + 1*sqrt(252) - sqrt(252))))) + -4)**2.\nAnswer: 192*sqrt(7) + 4048","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1 + 7. Let g = 7 - p. What is the closest to g in 2\/7, -1\/4, -3?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) be the third derivative of 241*i**6\/60 + 419*i**4\/3 + 90*i**2 - 2. What is the second derivative of l(x) wrt x?\nAnswer: 2892*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2105000 is divided by 300707?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2*(3 - 276\/84). Which is the second biggest value? (a) -0.9 (b) 1 (c) l (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -43 + 40. What is the nearest to 0.1 in 0.5, -2, o?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in 1\/3, 0.4, 25, -5\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -29584*h**3 - 22457696*h**2 - 4250749620*h + 4273236900.\nAnswer: -4*(h - 1)*(86*h + 32685)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -19*q**2 - 298*q - 487. What is j(-13)?\nAnswer: 176","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = 2*k + 4. Let i be q(-3). Let u(j) = -j**3 + 5*j**2 - 4*j. Let p be u(3). Let g be 7 - p - 5\/6. Which is the smallest value? (a) 3\/4 (b) i (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -52, -98, -146, -196, -248?\nAnswer: -302","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*n**2 + 0*n**2 - 5*n**2)*(-1 - 2 - 4*n + 4) + (522*n - 17159 + 17159)*(n - n + 2*n**2).\nAnswer: 1052*n**3 - 2*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*i - 16*i - 6*i + 2346 = 0. What is the least common multiple of i and 144?\nAnswer: 2448","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -2*l**2 + l + 1. Let b(k) = -k**3 - 21*k**2 - k + 13. Let h(x) = -b(x) + 6*t(x). Determine h(-8).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 825 and 33?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2 (base 5) to base 14.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -120*a**2 - 6 + 118*a**2 + 16*a - 16*a + 2*a**3 to h + n*a**3 + d*a + l*a**2 and give n.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3524, 13598, 30382, 53870, 84056?\nAnswer: 120934","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*d, -3*s - 5*d = -0*s + 75. Let h be 2\/(-1 - 35\/s). Solve 2*y = -h*f - y, 0 = -4*f + 4*y - 32 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = 4*n + 1. Let r be l(1). Suppose -2 = -2*q - m, -3*m - 3 - 5 = -q. Suppose 4 = -2*c, 4 = -q*x - 7*c + 2*c. Put x, r, -2 in decreasing order.\nAnswer: r, x, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1693892 < 0.13?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a = 123 - 297. What is the tens digit of a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*v**3 - 2*v**3 - v**3)*(-57*v - 26198 + 26198) to the form k*v**4 + g*v + r*v**2 + u + p*v**3 and give u.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*n + n + 2. Suppose 3*g - r + 0*r = n, -5*r = -g + 5. Solve g = 2*h - 4*h + 4 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = n - 3. Suppose 4*z = 8, -2*p + z + 22 = n*z. Suppose -4*h + p = -2*x, 3*x = 5*h - 1 - 7. Is 2 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.7232 to zero decimal places.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 35*t**2 + 39*t + 4 = 0 for t.\nAnswer: -1, -4\/35","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 640\/(-2400) + 1470\/(-225)\nAnswer: -34\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -21*d**3 - d**2 - 3*d - 10. Let j be k(-2). Suppose -j = -5*t - 3*t. What is the least common multiple of 3\/(0 + (-3)\/(-4)) and t?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11010110100000001111001 + -1?\nAnswer: 11010110100000001111000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -1\/7 (b) 1\/8 (c) 62.3 (d) 2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -19692 or -19693?\nAnswer: -19692","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -181 - -184. Solve 0 = -5*h + 3*q + 1, 7*h - q = 2*h - b for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i + 4 = 8. Solve 2 = 5*q - 3*y, -6*q + 4*y = -i*q for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 47610 is divided by 422.\nAnswer: 346","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -142 - -712\/5. Let d = 256 + -260. What is the second smallest value in x, d, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-6)*k\/k**10*(k**10\/k)\/k**(-2))**(-2\/19) assuming k is positive.\nAnswer: k**(8\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 41*h = 38*h + 4*n - 14, -5 = -n for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 5.3, -8, -2, 2, 0.04?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-40)\/(-238) - (-394)\/(-1379)?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) be the first derivative of 19*q**2 - 18. Let h(z) = 2*z**2. Determine k(h(l)).\nAnswer: 76*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 47615, 47845, 48471, 49691, 51703, 54705?\n\"Answer: 33*t**3 - t + 47583","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate c*h**3*w - 67*c*h*y + 2*h**3*w*y + 7*h**3*w + h**2*w*y - 1 wrt c.\nAnswer: h**3*w - 67*h*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 49 minutes after 8:01 PM?\nAnswer: 8:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 + 0 + 0)*(36 - 2*v - 36)*(1 + 3 + 1) as k + f*v and give f.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 138 - 103. Is -1\/3 not equal to h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -60 - -91. Let v = 177 + -117. Calculate the remainder when v is divided by i.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -214\/7 or -32?\nAnswer: -32","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.033733 in -0.2, -5\/3, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d + 24 = -2*d. Put d, 2, 3, -0.2 in ascending order.\nAnswer: d, -0.2, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 84 + -82. Let f be 0 + ((-9)\/(-5))\/((-12)\/(-15)). Suppose 3\/4*v**q - f + 3\/2*v = 0. Calculate v.\nAnswer: -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (75\/18 - 2)\/(3\/18). What is the greatest common factor of l and 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = 9*t**2 + 3*t + 2. Let b be l(-1). Solve 2*z - b = 0, -2*z = 4*w - 14 - 10 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3130200247 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -29 - -28.83. Let h = -49.57 + 54.4. Let w = h - y. What is the closest to 1\/4 in w, -0.1, -3?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1a317 (base 11) to base 5.\nAnswer: -1401312","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2 * 0.0829.\nAnswer: 0.1658","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (4 + 5)\/(0 - 1). Let b be (5 + a)\/((-1)\/5). Is 3\/2*b\/3 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 68017719?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -93 - -89.9. Let t = -2.99 + -0.01. Let v = c - t. Is 0.4 <= v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:34 PM and 11:05 PM?\nAnswer: 631","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2497 is divided by 25.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -27772, -27781, -27790, -27799, -27808?\n\"Answer: -9*z - 27763","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.5, -2, -3, -3\/14, 2\/7, -935, -4?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = 17*x. Calculate p(-3).\nAnswer: -51","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*o - 484 = 4*o - 4*d, o + 2*d = 123. What is the greatest common divisor of 34 and o?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4019 a factor of 840973969?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1 + 9. Let i = 10 + -4. Suppose -4*d = -i*d + b. Solve 4*o - 4 = d for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 8939056?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = 2*s**2 + 0*s**3 + 0*s**3 + 4*s**4 - 6 + s**2. Let i(r) = -4*r**4 - 4*r**2 + 6. Let c(v) = 3*i(v) + 4*z(v). What is the derivative of c(u) wrt u?\nAnswer: 16*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 485\/4949 + 207224627\/49490. Let s = y - 4183. Let k = 3840 - 61419\/16. Calculate the common denominator of k and s.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 115*x = 1945 + 1850. Solve -3*q = -36*q + x for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 0\/((-2)\/4 - (-3)\/(-2)). Let u be (-3)\/(-5)*(-10)\/(-2). Solve 0 = -r*j + u*j - 9 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 108 = -4*l + 312. What is the units digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*g = 31*g + 10*g. Let q(l) be the first derivative of -l**5\/120 + l**4\/12 + 2*l**3\/3 + 4. Let u(k) be the third derivative of q(k). Give u(g).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3*r**3*w*x**3 + 465*r**3*w*x - 2*r**2*x**3 + 2*r*w*x**3 + r*w + 57*w*x wrt r?\nAnswer: 18*w*x**3 + 2790*w*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 6806088 to the power of 1\/2, to the nearest integer?\nAnswer: 2609","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 50 and (5 - -299) + ((-42)\/7)\/(-1).\nAnswer: 1550","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 60 + (2\/12 - (-130)\/(-60)). Is 58 greater than or equal to z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -183 - -267. Suppose 6*c - 2*c = x. Is 21 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.315 + 0.162. Let y = 0.047 - s. Let j = -133\/110 - -13\/10. Which is smaller: j or y?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2728286, 5456566, 8184844, 10913120, 13641394?\nAnswer: 16369666","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 46349, 46374, 46399, 46424, 46449, 46474?\nAnswer: 46499","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -80 - -84. Let l(g) = -10*g - 2 - g + 14*g + x. Let f = -5 + 3. Give l(f).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 77 + -30. Suppose -h*g + 80098 = -18*g. Is g a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.4 and 48.095?\nAnswer: 48.495","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find p such that -66*p**2\/7 - 202*p\/7 - 12\/7 = 0.\nAnswer: -3, -2\/33","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = 6*x**2 + 109*x + 23. Let h be i(-18). Solve -h*z - t = -8, 3*t = 3*z - z + 7 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -8*h**2 - 9*h + 9. Let q(k) = -k**2 - k + 1. Let g(l) = 2*f(l) - 18*q(l). Let v(o) = -88*o**2 - 64*o**2 - 102*o**2 + 289*o**2. Determine v(g(n)).\nAnswer: 140*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*s + 22 + 50 = 0. Let f be (8\/12)\/(s\/(-6) + -1). Calculate the highest common divisor of f and 10.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-6)\/9*3 - 4. Let w = j - -8. Suppose 4*a + w = -2. Put 3, 5, a in ascending order.\nAnswer: a, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -252*a**2 + 35. Let c(z) = 2*z**2 + 5*z - 2. Let m(q) = 19*q**2 - 5*q - 1. Let p(w) = -c(w) - m(w). What is -3*l(k) + 35*p(k)?\nAnswer: 21*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6962236 is divided by 458.\nAnswer: 178","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 - ((-5 + 7 - 5) + -7)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-78)\/(-9) - 3)*-3 + -2. Let h be (-3 - (3 + -3)) + q\/(-6). Which is greater: h or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*n - 49 = 12*n. Suppose -11*m + 12*m - n = 0. Solve -12*i = -m*i - 25 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 77270\/2023 + 26\/289. Let u = -38 + n. Let q = -0.7 - 3.3. Which is the closest to u? (a) -2\/11 (b) q (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l + 2*h + 4 = 0, 3*l - 5*l + 22 = 5*h. Sort 2, -311, 0, 5, l in ascending order.\nAnswer: -311, l, 0, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -d**3*y**2 + 2*d**2*y**2 + 19*d**2 + 926*y**2 wrt d?\nAnswer: -3*d**2*y**2 + 4*d*y**2 + 38*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 49059731?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*p + 17*p = 2*q + 16776, p - 16770 = 5*q. What is the ten thousands digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 58*n + 315 + 149 = 0 for n.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 37*q - 764507 - 826197. What are the prime factors of q?\nAnswer: 2, 2687","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -j**3 + 32*j**2 + 6*j - 74. What is the remainder when w(32) is divided by 24?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 1472 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 18.2 times 33?\nAnswer: 600.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f and 1 i when two letters picked without replacement from mfmmftiimtmt?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Are 78211\/17 and 2\/3 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 10\/((0 - 2)\/(-4)). Let a be i\/(3 + -3 - -1). Calculate the greatest common factor of 10 and a.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0 + -42.\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) be the first derivative of -d**3\/3 + 9*d**2 - 7*d + 2681. Give z(15).\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -6327819 to the nearest 10000.\nAnswer: -6330000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u - 5 - 3 = -2*m, 5*m = -3*u + 11. Let c(v) = 6*v + 1. What is the remainder when c(m) is divided by 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -14*u + 10. Let k(q) = -2*q + 1. What is -6*k(i) + z(i)?\nAnswer: -2*i + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1035 + -730. Let a(n) = 3*n**2 + 4*n - 4. Calculate the remainder when q is divided by a(-4).\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) be the second derivative of y**8\/4 + 3*y**4\/2 - 9*y. Find the third derivative of p(j) wrt j.\nAnswer: 1680*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -22188 divided by 4?\nAnswer: -5547","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2466466311?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 35 and 8.9462.\nAnswer: 313.117","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 1\/4 + 6*4\/(-96)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1526 is divided by 49.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 40 + 564. Let b be (3 - 2)\/(2\/j). Let n be b\/4 - 2\/(-4). Calculate the greatest common divisor of 19 and n.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (4 - -16 - 43) + (54 - 13) + 4?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -v**2 - v + 13. Let a be c(0). Suppose 11*k + 396 = a*k. Calculate the highest common divisor of k and 18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*d**4\/19 - 3344832*d**3\/19 + 1398474259136*d**2\/19 + 11187954625536*d\/19 + 22376016286208\/19 = 0. What is d?\nAnswer: -4, 836212","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = 95*l**2. Let z(k) be the second derivative of k**4\/12 + 781*k. Determine t(z(c)).\nAnswer: 95*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-6)\/9)\/(2\/6). Let m(k) = 2*k**2 + 4*k + 2. Let g be m(d). Solve y + y - g = 0 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -2, 0, -352?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tjjmdnmnjmjdnjjm. Give prob of sequence nj.\nAnswer: 3\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3 + 2. Let m = z - 1. Solve g**3 - g + 0*g**4 - g**2 - 5*g**4 + m*g**4 + 2*g**4 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.9 and 153.\nAnswer: 153.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.03, 2\/7, 15\/17?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 75564163?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3420184*f**2*v**2 - 24*f*v**2 - 16*f*v - 22*v**2 - 6*v wrt f.\nAnswer: 6840368*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = p**3 + 8*p**2 + 14*p - 7. Let l = 17 + -22. Let k be i(l). Let q = 6 - k. What are the prime factors of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 92487, 184982, 277479, 369978, 462479, 554982?\n\"Answer: h**2 + 92492*h - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 36679?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = 24*k**2. Let f(t) = -7*t. Give f(h(j)).\nAnswer: -168*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((2 + -2)\/(-2))\/(-2). Suppose c*m - 335 = -5*m. Is m a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 136330 is divided by 42?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 48\/(-4)*6\/12\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k - 4*i - 28 = -9*i, 3*k + i = 42. Let d be 10\/(-1)*(-7)\/k. Let f(u) = -u**2 + 7*u - 5. List the prime factors of f(d).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 18, m: 1}. What is prob of picking 1 m and 1 x?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 25895872 and 658?\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-759)\/1035*20)\/((-16)\/(-6)*(-6)\/10).\nAnswer: 55\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x and 1 b when two letters picked without replacement from {x: 3, b: 7, e: 4}?\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -26\/177 - -848\/3363. Let q = -0.4 - -0.6. Which is the fourth biggest value? (a) 4\/3 (b) y (c) -0.3 (d) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 7727492?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = f**3 + 512*f**2 + 9344*f - 11329. What is g(-493)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.8 + 0.3. Let x = 4488.2 - 4490.2. What is the nearest to x in 0.4, 6, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 0 + 0*c + 16 + 4 + 4*c**2 - c as p + a*c**2 + z*c and give p.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 5357 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Work out 463404.13 * 0.6.\nAnswer: 278042.478","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 151542 (base 6) to base 12\nAnswer: 85b2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 17*l*o**3*p**3 + 31*l*o*p - 2*l*p**3 - 34*l*p**2 + 2*l*p + p - 131 wrt o?\nAnswer: 51*l*o**2*p**3 + 31*l*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 14 or -0.064?\nAnswer: 14","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -35*r + 31. Let p be n(1). Put 5, 2, p, -1 in decreasing order.\nAnswer: 5, 2, -1, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1\/((-56)\/(-1632)) + ((-12)\/(-14))\/(-6)\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3590 is divided by 27?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) be the third derivative of n**5\/390 + 7*n**4\/12 - 380*n**3\/39 + 2*n**2 + 6*n - 301. Suppose b(g) = 0. What is g?\nAnswer: -95, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = i**3 + 6*i**2 - 6*i - 14. Determine a(-6).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 451, 906, 1361, 1816, 2271, 2726?\n\"Answer: 455*q - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*k + 3*k = -147. Which is smaller: 50 or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 3397760 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 9278 + -9251. Solve -q*a + 79 = 25 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 - 2 - 3)*(-1 + 1 - 2)*(0*r + r + r) + r + 1 - 1 in the form o + z*r and give z.\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 747 - 696. What is the highest common factor of w and 102?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g - 3*j - 31 = 0, 4*j + 3 = -1. Suppose -v = 6 - 25. Calculate the remainder when v is divided by g.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = i**2 - 6*i - 3. Suppose 1901 = -5*s + 456. Let l = -280 - s. Give p(l).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*r - 8*k = -5*k + 17, 2*r + 4*k = 14 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -6.34 + -23.76. Let k = -24.1 - g. Which is bigger: k or -0.06?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -1042*n**2 + 756*n - 8. Let y(m) = -1042*m**2 + 756*m - 6. Let a(b) = 3*j(b) - 4*y(b). Find the second derivative of a(l) wrt l.\nAnswer: 2084","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 50721.\nAnswer: 3, 11, 29, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 33 (base 4) to base 5.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is two fifteenths of a minute in milliseconds?\nAnswer: 8000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 200 and 175.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 37, 2\/3, 1.8 in descending order.\nAnswer: 37, 1.8, 2\/3, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 74 - 39 - 67*b + 64*b - 1 - 2*b + 1 + (1 + 0 - 3)*(3*b + 0*b - 2*b) + 0*b - 7*b + 2*b to x*b + w and give x.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*q + 3 = 5*f, -2*f + 26*q - 17 = 27*q for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 8115 and 15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s**(4\/3)*s*s**10*(s**(-2\/5))**27 assuming s is positive.\nAnswer: s**(23\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -7\/228114 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 909913 to the nearest integer?\nAnswer: 97","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-115)\/(-276)*21\/10.\nAnswer: 7\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -12*o**3 - 2*o**2 + o + 2. Suppose 1 = 3*y + 7. Let s be w(y). What is s rounded to the nearest 10?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -6*b**3 + 6*b**2 - 6*b. Suppose f - 5 = t - 4*t, 4*f + 4*t - 12 = 0. Let u be (-16)\/(-4)*1\/f. Let y(q) = -q**3 + q**2 - q. What is u*n(o) - 10*y(o)?\nAnswer: -2*o**3 + 2*o**2 - 2*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 244209939?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*r**3 + 3*r - 5*r**3 + 0*r**3 + 2*r**3.\nAnswer: -8*r**3 + 3*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1389 and 0.3?\nAnswer: 416.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 27\/2 of a kilogram?\nAnswer: 13500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) be the second derivative of w**5\/20 - 5*w**4\/12 + 7*w**3\/6 - 3*w**2\/2 + 77*w - 2. Let c be x(3). Factor c + 2\/5*a**2 + 2*a.\nAnswer: 2*a*(a + 5)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = 6*r. Let p be 2*((-12)\/8 - -4). Let f = p + -2. What are the prime factors of g(f)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 361236933?\nAnswer: 3, 40137437","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 200 and 176075000?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i + 2*i - 5*p = -44, -5*i + 5*p + 130 = 0. Let v = -30 + i. Let d be 0 + (-1 - (-8)\/14). Do d and v have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*m + 35 = -4*q, -5*q + 3*m + 13962 - 14002 = 0 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 4955 to the power of 1\/3, to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -44*a**2 + 55 - 20 - 19 - 78*a**2 - 17.\nAnswer: -122*a**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -d**3 + 2*d**2 - 3*d + 6. Let w be z(2). Solve w*g + g = -4*r - 2, -6 = 3*g - 3*r for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00003921116 rounded to five decimal places?\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1 + 14020224200?\nAnswer: 14020224144","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -48*x - 1202. Determine g(-25).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p*(p\/p**(-1\/3))\/p)\/(p**(1\/2)*p*p)*(p*p\/(p*p**(-3\/2)\/p)*p)**25 assuming p is positive.\nAnswer: p**(334\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 87945783 is divided by 1056?\nAnswer: 1047","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*p**3 + 2*p**3 + 2*p**3 + (-4*p + p + 5*p)*(-p**2 + 2 - 2) + (-p + 2*p + p)*(p**2 - 2*p**2 + 2*p**2).\nAnswer: -p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2205 divided by -21.\nAnswer: 105","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.2 (b) -2 (c) 42 (d) 47 (e) -58\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -268575 = 5*y - 73*y - 7*y. What are the prime factors of y?\nAnswer: 3581","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + 21\/(-3) - ((-896)\/301 - 4)?\nAnswer: -1\/43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1294548801 to the nearest integer?\nAnswer: 1090","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 10, -22, -130.\nAnswer: -130, -22, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -101 = -5*j - 31. Suppose j = 2*x - 52. List the prime factors of x.\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*d**3 - 13468*d + 7219*d + 6249*d.\nAnswer: -5*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00041000212 rounded to seven dps?\nAnswer: -0.00041","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 278 + -15. Suppose -6*k = r - 1847. What is the units digit of 2\/10 + k\/55?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1 - -13. Suppose -4*g - 17 = -7*g + b, -3*b = 2*g - 15. Let l be (-4)\/g - i\/(-21). Which is greater: l or -1\/5?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (-4*(-1*(sqrt(98)*3 - sqrt(98)) + (0 + sqrt(98) + sqrt(98) + sqrt(98) + -2 - sqrt(98)))*6*6)**2.\nAnswer: 82947","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k - 123 = 167. Let m = k - 20. Does 15 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 - 0 - (-7 + 9) - 5.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5 - 5 - 3)*(-988 - 1350 - 14141*p**2 + 14139*p**2 - p) to the form x*p**2 + a*p + q and give x.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-3)\/3)\/(7\/35).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v*v**(1\/2)*v**(-1)\/v)\/(v*v**1)**(-47) assuming v is positive.\nAnswer: v**(187\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qdnqqqhhdnrqdrq. What is prob of picking 2 q and 2 n?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8723133.\nAnswer: 3, 107693","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (-10)\/(-2)*(1\/(-3) + (-48)\/72)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = y**3 + 7*y**2 - 10*y - 1. Suppose 0 = -b - 6 - 2. What is the remainder when 73 is divided by z(b)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = y. Let w be x(0). Let n = -13 + 17. Solve w = 4*p + n - 0 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 132180*q**5 + 5*q**2 - 310*q - 10 wrt q?\nAnswer: 7930800*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = c**2 + 3*c - 3. Let r be j(0). Does 12 divide -9*1\/r - (-435 + 0)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 410*k**5 - 1374*k**2 wrt k.\nAnswer: 24600*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -816473, -816467, -816461, -816455, -816449, -816443?\nAnswer: -816437","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -2 + -7?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (440\/154)\/10*-112?\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 398 - 213. Let v = b + -179. Solve 0 = 5*t - 2*t - v for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -53535138779096+-0.8\nAnswer: -53535138779096.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) be the second derivative of g**4\/12 - 7*g**3\/6 - 131*g**2\/2 - 47*g. Is 4 a factor of i(-12)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-2)\/(3\/(66\/(-20))))\/((-150)\/(-750)). Solve -25*h + 84 = -v*h for h.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-9)\/(-2) - (0 - 6\/(-12)). Suppose -20 - h = -6*q. Suppose -2*f + 66 = q*c, -4*f = f + 5*c - 180. Calculate the highest common factor of 351 and f.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1104 = 227*n + 243*n - 608*n for n.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -101111000110 (base 2) to base 8\nAnswer: -5706","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*x - 0*x + 104. What is the units digit of x?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 130 and 39?\nAnswer: 390","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.4 + 20.6. Let l = m + -17. What is the second smallest value in -3\/7, -0.03, l?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*v - 40 - 35. What is the tens digit of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z - 3*o + 151 = 0, 0*z - o = 4*z + 295. Let m = 143\/2 + z. Which is the third biggest value? (a) 0.03 (b) m (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 148, 1\/12, -5, -4?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 12419 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2308.62934 - 0.47066. What is w rounded to the nearest one hundred?\nAnswer: -2300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -948 = -3*j + 3*p, -11*j + 3*p + 1323 = -2193. Calculate the greatest common divisor of j and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**1)**(-45)\/((s**6\/s)\/(s**(-4)*s))*s\/(s*s**4)*s*s**(-2\/21)\/s*(((s**(2\/3)*s*s)\/s)\/s)**(30\/13) assuming s is positive.\nAnswer: s**(-15167\/273)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*a + 2*a + 1 = q, 4*a + 5*q = -7 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 100609951 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 9995?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1211?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 7*((-200)\/(-28))\/5. Let u = 12 - g. Let a be 3 + (-1)\/u*0. Solve l = -a + 8 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8 + (-40 - (-100 - -40)).\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 337663603 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -176, -177, -180, -185, -192, -201, -212?\nAnswer: -225","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 less than -1284?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 165*-4.\nAnswer: -660","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3910 - -9917. Is u a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 2, v: 10}. What is prob of sequence vqqv?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find t, given that t**4\/3 - 15610*t**3\/3 + 5203*t**2 = 0.\nAnswer: 0, 1, 15609","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*k**2\/3 + 236*k - 11458\/3.\nAnswer: -2*(k - 337)*(k - 17)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = 17*r**4. Let m(x) = 16*x**4 - x**2. Let g(t) = -6*i(t) + 7*m(t). Find the third derivative of g(d) wrt d.\nAnswer: 240*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -o**3 + o**2 - o + 17305. Is m(0) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u - 7 = 17. Let p = u + 10. Sort -5, -1, p in decreasing order.\nAnswer: p, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -70515, -282120, -634791, -1128528, -1763331, -2539200?\n\"Answer: -70533*h**2 - 6*h + 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jjx when three letters picked without replacement from jjxxjxzj?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 648923445 to the power of 1\/3, to the nearest integer?\nAnswer: 866","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 84 - 79. Which is the third biggest value? (a) k (b) -0.2 (c) 2\/7 (d) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = n**2 - 2. Let d(f) = -3. Let y(s) = -3*d(s) + 4*w(s). Differentiate y(u) with respect to u.\nAnswer: 8*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -772 - 2759 - 2841 + 1379 - 4*u.\nAnswer: -4*u - 4993","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) -0.5 (b) 0 (c) -376893 (d) -3\/5 (e) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*z - 2*z + 4*p + 44, 73 = -0*z - 4*z - 5*p for z.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 114271.3*4\nAnswer: 457085.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = 296*x - 7. Let r(o) = -443*o + 11. What is 5*r(c) + 8*w(c)?\nAnswer: 153*c - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 18\/5 + 120\/300. Let a be 4*(-1)\/3*-3. Suppose a*w - 479 = g, -2*w + 245 = -n*g - 5. What are the prime factors of w?\nAnswer: 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + sqrt(245)*2 + sqrt(245).\nAnswer: -2 + 21*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1.1 - -2.2. Let o = f + -0.9. Let t = 0.06 + -5.06. What is the nearest to 2 in 0.4, o, t?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -25 (base 6) to base 14.\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(132)\/sqrt(3) - sqrt(44))*3)\/((sqrt(128)\/sqrt(4))\/sqrt(8)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 122681588 is divided by 10?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide -34592 by -4.\nAnswer: 8648","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = b**2 + 15*b - 11. Let x be -1*(3 + 14) - -2. Give r(x).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -2*r - 9. Let w(f) = -4*f. Determine w(t(v)).\nAnswer: 8*v + 36","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) be the second derivative of o**3\/6 + o**2\/2 - 25*o. Let c(i) = -2*i - 10. Let l(m) = -c(m) - 3*z(m). Let h = 16 + -11. Determine l(h).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -44 - -834\/19. Let v = 23\/2 + -45\/4. Let t = 1011 + -1015. Which is the closest to -1\/2? (a) v (b) q (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by -566\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2390577 or -2390579?\nAnswer: -2390579","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = 21*a**3 - 6*a. Let m(k) = 64*k**3 - 17*k. Determine 6*m(n) - 17*z(n).\nAnswer: 27*n**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 128.8247 rounded to 0 dps?\nAnswer: 129","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/2 in -3\/626, -2, -0.4, 0.094?\nAnswer: 0.094","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1338 + -1300. What is the greatest common divisor of s and 190?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 360 in -0.11, 4, 10\/3?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 95 (b) -2 (c) 3 (d) 3\/8 (e) 0.04 (f) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mytyutweuemewywwmwu. What is prob of picking 2 w?\nAnswer: 10\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 - -20 - 41) + 39.\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -169305, -338603, -507901, -677199, -846497?\nAnswer: -1015795","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*q + 5*p + 21, -4 = -q + 3*p + 7. Suppose -q*g - g = h - 44, 0 = -2*h - 8. Is g a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) be the third derivative of p**4\/6 - p**3\/3 - 2*p**2. Let x be w(2). Suppose x*j + 3*n = 2*j + 29, -3*j + 19 = 5*n. Round j to 0 dps.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w - 2*w + 6 = 0. Let b(i) = 9*i**3 - 2*i**2 + i. Let g be b(1). Let n be 29*1044\/841 + -34. Solve -g = w*t - n*t for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-2)\/8*1*-4. Let l be (0 + (-4)\/(-3))\/2. Let y = -25\/19 + 301\/171. What is the second smallest value in a, l, y?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 28406839 is divided by 20?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -90*b + 86*b + 2*z + 170, -26*b - 5*z = -1087 for b.\nAnswer: 42","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -141*q - 455*q - 256*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1611, 1629, 1659, 1695, 1731, 1761, 1779?\nAnswer: 1779","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 635771 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -369 + 380. Solve -u*j + 7*j = -12 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) be the first derivative of 3*l**4\/8 + 1403*l**3\/2 + 1478409*l**2\/4 + 1474203*l\/2 - 3325. Factor r(i).\nAnswer: 3*(i + 1)*(i + 701)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 683 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mmqz when four letters picked without replacement from bamqazqmqdqamzqamaqq.\nAnswer: 7\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13109 - 4967 = -4*z. Let h = z - 2596. What is the units digit of h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-3 - 6 - -7)\/4\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a - 5*a - 62 = 0. Let c = -60 - a. Solve -2*w = -5*u + w, -c*u + w = 0 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 2, -165, -1?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -100 (base 2) to base 6\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -77421.4881 to the nearest 100.\nAnswer: -77400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -230, 3, 58\/7, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-4)\/(-30))\/((-4)\/(-100)). Let t = -16\/5 + w. Let y = 0.7 - 1.7. Which is the biggest value? (a) y (b) -3 (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 867 and 870 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 209178, 209029, 208894, 208773, 208666, 208573?\n\"Answer: 7*b**2 - 170*b + 209341","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 20 + 1 + (29 + -10 - 30 - 118).\nAnswer: -108","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 332, 311, 276, 227?\nAnswer: 164","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -451 - -450. Let z be 261\/(-9)*(d - 2 - 2). What is the highest common factor of 5 and z?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:50 PM and 5:14 PM?\nAnswer: 144","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 64316+6428753564\nAnswer: 6428817880","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is (21\/84)\/(-1 + 186420\/186416) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*f - 18*f + 573 - 507 = 0 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -2 (b) 22\/3 (c) 10 (d) 125\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t\/(t*t**16\/t*t)*t**18*t**(-11\/5)*(t\/t**8)\/t)**(-50) assuming t is positive.\nAnswer: t**410","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 - 2 - 1)*(-w**4 + 4*w**4 - w**4 + (-2 - w**3 + 2)*(59*w - 24*w - 124*w)) as y*w**2 + r*w**4 + h*w + p + v*w**3 and give h.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -140*i**4 + 5*i**3 + 16109*i**2?\nAnswer: -3360*i + 30","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -21836638 by -542.\nAnswer: 40289","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b + y = 480 + 533, b = -y + 201. Suppose -9*d + 562 = -b. Suppose d = 3*h - 5*w, -3*w = 4*h - 0*h - 94. What is the units digit of h?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 53150?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 33*g - 10*g - 651 = 54*g for g.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -51998 - -52001. Let v = 0.2 + -0.3. Let j = -0.2 - v. Sort 0.3, l, j, 5 in ascending order.\nAnswer: j, 0.3, l, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 458287 = 34*z + 166295. Is 38 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 92043.88 nanometers?\nAnswer: 0.00000009204388","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 0.6 (b) 38 (c) 1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 55*j - 58*j + 15. Solve -5*k - 15 = 5*r, j*k - 3*r + r + 22 = 0 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -213, -874, -2457, -5430, -10261?\n\"Answer: -78*r**3 + 7*r**2 - 136*r - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*c + 13 = 20*c + 4*q, q + 2 = c for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) be the second derivative of w**3\/6 + 2*w**2 - w. Let q(y) be the third derivative of y**3\/6 + 12*y**2 - y. Give 4*q(c) - t(c).\nAnswer: -c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 298503.15 rounded to the nearest one hundred thousand?\nAnswer: 300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 102190048?\nAnswer: 2, 3193439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) be the first derivative of 2*p**3\/3 + p**2 + 6*p - 23. Let r(g) = 5*g**2 + 5*g + 17. Determine 11*b(j) - 4*r(j).\nAnswer: 2*j**2 + 2*j - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 110200 (base 3) in base 2?\nAnswer: 101010110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -332*l**2 - 21455*l**3 - 2*l + 21456*l**3 + 2*l.\nAnswer: l**3 - 332*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 172888*b + 0 + 3 + 212463*b - 3.\nAnswer: 385351*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 77 and 11.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (10\/(-15))\/(4\/(-42)). Let z be ((-6)\/(-15))\/(-5 + 7). Which is greater: y or z?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 32007638 to the power of 1\/10, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-2850)\/1330)\/(2\/(-14)). Let g(f) = f**2 - 16*f + 11. Calculate g(p).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13 + (-3 - 4) - 14.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 137, 277, 407, 521, 613?\nAnswer: 677","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is (0 - 107014\/(-4))*(52 - 38) 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 qtjqt. What is prob of sequence tj?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5*(sqrt(72) + 0))**2 - (sqrt(72)*1 + 0)) + 5.\nAnswer: -6*sqrt(2) + 1805","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 471.3495 to the nearest 100.\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -209*j**2 + 6227*j + 1285. Give c(30).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*y - 8 - 12. Is 890\/y*1\/(-2) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(17) - (-1 + sqrt(425))**2) + -5)*-5.\nAnswer: -55*sqrt(17) + 2155","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 430343 to the nearest integer?\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 47*s - 44*s + 5*j = -61, -2*s + 4*j = 4. Let p be 7\/(-28) - (-3 + 87\/s). Solve -p*w - 5 = -15*w for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o + 4 = o. Let j be (-2)\/(-9) - 1168\/(-36). Let x = 33 - j. Which is the closest to x? (a) o (b) -1\/9 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3804126.\nAnswer: 2, 3, 67, 9463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-10 - -2) + 2 + 1568\/294. What is the smallest value in 7\/3, 0.3, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 73167291 to the nearest integer?\nAnswer: 8554","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -6. Let q(k) = -k**2 - 7. Give 2*q(a) - 3*x(a).\nAnswer: -2*a**2 + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11101 - -10000001000100111011100?\nAnswer: 10000001000100110111111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 19270.05 decades in centuries?\nAnswer: 1927.005","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/4 in 1\/6, 2\/3, 30, 2\/5?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) 7 (b) 1\/4 (c) -3\/4 (d) 1 (e) -7114\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = -3*g + 2. Suppose -4*z + g = -37. Suppose -2*h = -3*o + z, 2 = -o + 2*o - h. What are the prime factors of o?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d\/d**(-4\/7)*d**2\/d)**9 assuming d is positive.\nAnswer: d**(162\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -131 + 134. Sort s, 5, 0.\nAnswer: 0, s, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 - (3 + -4) - -2.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = a - 218. Give p(-23).\nAnswer: -241","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 119 to the power of 1\/2, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (8\/(-35))\/((-10)\/(-25)). Let f(m) = m + 3. Let l be f(-5). Which is greater: w or l?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is c (base 13) in base 3?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 + 1 + 1)*(-187*l + 29*l**2 + 187*l) + (2*l - 6*l + 2*l)*(-l + 2*l + 3*l).\nAnswer: 166*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -8905, -13337, -17769?\n\"Answer: -4432*a - 4473","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 34680725 and 175.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express -10*p - p**2 + 10*p - 1 + 40*p**2 in the form n + h*p + t*p**2 and give n.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*m + 8*m - 20 + 2*m - 22*m + 3*m.\nAnswer: -2*m - 20","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -819 - -37 - (2 + (-12)\/(-3)). Let m = j - -839. What is the remainder when m is divided by 14?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-4)\/(-1) - (-358)\/(-89). Let t be (-83)\/(-89)*2\/6. Let k = y - t. Which is the third biggest value? (a) k (b) -5 (c) -1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -m**2 - 7*m + 1. Let d be x(-5). Suppose -4 = i - d. Let f = i + -4. Solve 2*c + 3 + f = 0 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 39 and 604825.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand o**2 - o**2 + o**2 + (-3 - 2*o + 3)*(3 - 3 - 2*o) - 4*o - 3*o**2 + 2*o - 4*o**2.\nAnswer: -2*o**2 - 2*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -64*s + 44*s + 19*s.\nAnswer: -s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7*w + 64*w - 1 - 18*w)*(8*w**2 - 3*w**2 - w**2).\nAnswer: 156*w**3 - 4*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = 13*k**3 + k**2 + k + 1. Let a be 9\/(-6)*(-22)\/(-33). Determine c(a).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 83\/38 and -25\/16.\nAnswer: 304","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 7\/(7\/(-12))*(-3)\/4 a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6998304 divided by 1749576\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-106)\/27 + -7 + 11)*-3. Let p = 70 - 701\/10. Which is the nearest to 0? (a) p (b) q (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bl when two letters picked without replacement from bsbclhec?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 times 171?\nAnswer: 855","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 159441 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -a**2 - 8*a + 8. Let i be g(-8). Suppose 36 = 2*q - 974. Suppose -5*c - 122 = -x, -3*x + i*x = 4*c + q. Is x composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 734 (base 16) to base 2.\nAnswer: 11100110100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -441430 by 110.\nAnswer: -4013","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence eele when four letters picked without replacement from eeeeeeeeeeeeeleeeel?\nAnswer: 5\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) be the third derivative of r**5\/15 - r**4\/3 - 19*r**3\/6 + 7*r**2. Let p(o) = o**2 + o. Let h(v) = g(v) - 3*p(v). Is h(-13) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 + -1 - -1 - (7 - 5)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 4857\/1967 or 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find v, given that 6*v**3 - 86*v**2\/5 - 12*v\/5 = 0.\nAnswer: -2\/15, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (67 + -71 - (-3 + 8)) + -2 + 21?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 5 + 12 + 0 + -11 + -2 + 12\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(252))**2 + -5 + 2.\nAnswer: 249","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve r + 5 = -3*i, -89*r = 2*i - 87*r + 6 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 1629*y - 768?\nAnswer: 1629","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.05 or -3\/5?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(sqrt(704) + 2*sqrt(704) + sqrt(704) + sqrt(704)))\/((sqrt(12)*-1)\/sqrt(3) - sqrt(4)*-1*3).\nAnswer: 10*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = 2*y**2 + 1. Let h be l(-1). Suppose -h*f - 18 = -0*f. Let t(v) = -v**2 - 8*v - 7. Give t(f).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -d**3 + 8*d**2 - 8*d + 3. Let m be (198\/(-55))\/(18\/(-30)). What is c(m)?\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 137\/708 and -109\/24?\nAnswer: 1416","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 100 divide 4698228?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1683\/40913 or -1?\nAnswer: -1683\/40913","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 3 + 2)*(0 - j + 0) + 5*j - 2*j - j - 5 + 5 + 3*j + 3304 - 3304 + 112*j.\nAnswer: 116*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -m**2 - m + 1. Let d(o) = 5*o**2 + 4*o - 3. Let s(v) = -d(v) - 4*n(v). Suppose -3*h + h = 2*f, 3 = f. Let i be s(h). Round i to the nearest integer.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.067 times -21.13\nAnswer: -1.41571","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.6 + 14.2. Let g = w + -14. What is the closest to g in 1, 0.3, -2?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28*k - 11 - 17 = 0 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -0.3 times -1077.1\nAnswer: 323.13","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -16*p + 4413. Is x(0) a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = 7*a + 3. Let j(n) = -18*n + 2*n + 12*n + n - 3*n - 2. Let b = 6 - 3. Give b*j(q) + 2*f(q).\nAnswer: -4*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-2)\/(r**(-4\/9)\/r))\/((r\/(r*r**(2\/27)))\/(r**(1\/5)*r)) assuming r is positive.\nAnswer: r**(97\/135)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express 219*s**3 - 160*s**3 - 3*s**2 + 4*s**2 - 511*s**3 - 369*s**3 in the form b*s + d*s**2 + x*s**3 + t and give d.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-14*g + g + 0*g)*(1 - 2 - 9)*(2 - 3*g**2 - 2).\nAnswer: -390*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 7438, 7459, 7480?\n\"Answer: 21*w + 7417","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = t**3 + 32*t**2 - 32*t + 100. Is o(-31) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -434221*j**4*x - 1064*j**4 - 9*j*x - 100323*x + 31 wrt j.\nAnswer: -5210652*j**2*x - 12768*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Are -69 and -13811\/200 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = u**2 - 5*u - 4. Let d = -1 - -7. Let n be x(d). Let z be (6\/4 - n) + 0. Is -1 <= z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) be the second derivative of 5 - 1\/2*r**2 + 8*r + 1\/6*r**3. Let p(n) = 18*n - 9. Determine -p(v) + 9*x(v).\nAnswer: -9*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 55249308, 110498605, 165747900, 220997193, 276246484, 331495773?\n\"Answer: -d**2 + 55249300*d + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -2*z + 2*s, 5*z - 10 = 2*s + 5. Suppose 0 = q - z*q + 4. Factor 0 + 1\/4*k**3 + 1\/4*k**4 - 1\/4*k - 1\/4*k**q.\nAnswer: k*(k - 1)*(k + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -y**3 + y**2 + y. Let j(m) = 6*m**3 - 2*m**2 + m. Let s(n) = 3*n**3 - 33*n**2 + 5*n - 56. Let i be s(11). Calculate i*j(q) - 2*c(q).\nAnswer: -4*q**3 - 3*q","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*u - 16*u + 92 = 0. Let j = u + 73. Let a(v) = 2*v**2 - 26*v - 57. Is a(j) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (2\/9)\/(4\/6). Let y = 4 - 3. Suppose y = -3*c + 4. What is the third smallest value in -0.1, c, w?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = v - 7. Let u(a) = -6. What is 5*l(x) - 6*u(x)?\nAnswer: 5*x + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = 28*u + 225. Determine o(-8).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:15 AM and 6:00 PM?\nAnswer: 525","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from napapnjpppppnahahns. What is prob of sequence sna?\nAnswer: 8\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3967471917?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2711.4 + 2711. Which is the third biggest value? (a) 13 (b) s (c) 3\/29\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = 94*c - 9. Let h be z(-1). Let l = h + 336. What are the prime factors of l?\nAnswer: 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (72*c**2 + 13*c**2 - 12*c**2)*(22522*c - 22522*c + 80 - c**3).\nAnswer: -73*c**5 + 5840*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1.1 - 2.9. Let c = -4 + 1. Let j = c - w. What is the smallest value in j, 5, 3?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 0, -30, -90, -186, -324, -510?\n\"Answer: -b**3 - 9*b**2 + 4*b + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -4\/3, 1\/5, -719, 0.3 in decreasing order.\nAnswer: 0.3, 1\/5, -4\/3, -719","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 97\/4? (a) 4\/3 (b) -5 (c) -2 (d) -6 (e) -0.0285\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -12 - -21. Solve 0 = -5*i - 11 - h for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -20 (base 14) to base 6\nAnswer: -44","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2, 26, 54, 82?\nAnswer: 110","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2.1 in 24, -798\/13, 2\/11?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 12.358438 + -2.45844175. Let c = d + -9.9. Round c to six decimal places.\nAnswer: -0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 203 and 196240\/971 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -1 - (36\/(-2))\/(-2). Let v be (-5)\/n + 1\/(-2). Let d(g) = -g**3 + 3*g**2 + 10*g + 2. Let o be d(-2). Solve -o*l + 4 = 0, v*l + 3 = m - l for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2106*f - 422*f + 6*f**2 - 424*f - 1260*f.\nAnswer: 6*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 30 = -6*c - 4*c for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 568 + -559. Which is smaller: p or -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from dddbbdbrdbddd. What is prob of picking 2 d, 1 r, and 1 b?\nAnswer: 112\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 526837?\nAnswer: 526837","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -47\/54550376 and 11\/20.\nAnswer: 272751880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 364 is divided by 63.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4193 divided by 144327.\nAnswer: -4193\/144327","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**(-4)\/j)\/j**0)\/(((j*j\/(j**(-5)*j))\/j)\/(j\/(j*j**(-9)*j))) assuming j is positive.\nAnswer: j**(-2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i + 28 = f, -2*f = 2*i - 22 - 26. What is the units digit of f?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1168550 and 2921375.\nAnswer: 5842750","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -914, 8\/3, -3\/2, 1, -4\/171, 4 in descending order.\nAnswer: 4, 8\/3, 1, -4\/171, -3\/2, -914","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 116231, 464929, 1046101, 1859747, 2905867, 4184461, 5695529?\nAnswer: 7439071","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 11 + 4007382\nAnswer: 4007393","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 153283 and 91?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 0.2 (b) 6 (c) -0.083\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2 - 4*q**3 + 2 + (q**3 + 0*q + 0*q)*(1 + 3 - 6) + q**3 - 4*q**3 + 4*q**3 + 0*q**2 + 0*q**2 + q**3 + 5*q**3 - 3*q**3 + q**3.\nAnswer: -q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 597 is divided by 291.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 19 - 14. What is the least common multiple of 18 and b?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(1539)*4 + -5)**2 + -1.\nAnswer: -720*sqrt(19) + 98520","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 302887796 by 4.\nAnswer: 75721949","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -9 (b) -0.1 (c) -3 (d) -1 (e) -1041\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 870832507 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -69*j**2 + 57*j + 17. What is y(1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -q**3 - 8*q**2 - 10*q - 3. Let s be m(-7). Let z = -36 - -54. Calculate the highest common factor of z and s.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l, 2 f, and 1 t when four letters picked without replacement from {f: 3, z: 1, l: 1, t: 1, u: 1}?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y\/y**(-4\/13)*y**6*y**(-2\/5)\/((y*y**(-2\/3))\/y))**(1\/6) assuming y is positive.\nAnswer: y**(1477\/1170)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yf when two letters picked without replacement from {f: 1, o: 2, a: 3, n: 3, y: 6}.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1801809467?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -74 (base 10) in base 9?\nAnswer: -82","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = 99*r - 65. List the prime factors of j(5).\nAnswer: 2, 5, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2.90418 * 2\nAnswer: 5.80836","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 12 - 8. Suppose -4*l - 2*z = -42, y*l + 4*z - 5*z = 27. What are the prime factors of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 63 + -62.9. Which is the closest to 0? (a) m (b) -4 (c) 1\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-4)\/14 + (-384)\/(-21). Let c(x) = 176*x + 1435. Let v be c(-8). Calculate the highest common divisor of i and v.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 521545 (base 10) to base 6.\nAnswer: 15102321","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 353*m + 95*m - 4950 = 15658. Calculate the remainder when 1879 is divided by m.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4153 - -76033919?\nAnswer: 76029766","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0001179572611 rounded to 7 dps?\nAnswer: -0.000118","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -216*y**2. Let z(x) = -4620*x**2. What is z(v(b))?\nAnswer: -215550720*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor -g**3\/5 + 37*g**2\/5 + 298*g\/5 + 88.\nAnswer: -(g - 44)*(g + 2)*(g + 5)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 2134 (base 6) in base 15?\nAnswer: 22a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -4*r**2 + r + 1. Let g be m(-1). Suppose 8*h - 4*z = 3*h + 5, 2*h = 3*z + 9. Let y = g - h. Put y, 2, 5 in ascending order.\nAnswer: y, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (5*(sqrt(11) + 1) - ((sqrt(66)\/sqrt(6))**2 + -3)) + ((-1*sqrt(121)*-5 - sqrt(121)) + sqrt(121))\/sqrt(11) + ((sqrt(33)*-2*-6)\/sqrt(3))**2.\nAnswer: 10*sqrt(11) + 1577","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -15\/23, 4, -1, -0.01 in descending order.\nAnswer: 4, -0.01, -15\/23, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) be the third derivative of h**4\/24 + 5*h**2. Let t(y) = 3*y**3 - y**2. Let o be t(1). What is v(o)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = d. Let n(z) = 6*z + 13. Give -2*n(g) + 14*v(g).\nAnswer: 2*g - 26","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 44.21 rounded to the nearest integer?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*s + 4*s - 0*s. Suppose -5*d + 5*n + 0*n + 2320 = s, 0 = 3*d + 5*n - 1368. What is the tens digit of d?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -5, 0, -23, -98, -249, -500, -875?\n\"Answer: -4*f**3 + 10*f**2 + 3*f - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -q**3 - 84*q**2 + 231*q + 1098. What is w(-86)?\nAnswer: -3976","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l*l**(6\/11))\/l)**(16\/5) assuming l is positive.\nAnswer: l**(96\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*y - 2747 = 1443. Calculate the remainder when y is divided by 60.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-10 + 10 + 5*v**3)*(-2*v - v + v + (0*v - v - v)*(-2 - 2 + 6)).\nAnswer: -30*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -81, 3, 1, -51, -2 in ascending order.\nAnswer: -81, -51, -2, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -195 - -257. Is v composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o = 5, -2*f - o = 2*o - 7. Solve -f*i - 4 - 3 = d, -1 = 2*d - 3*i for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*w + q = 2, 1626*q = w + 1622*q + 8 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h*h**(-1\/8))\/(h\/(h\/(h**(4\/11)*h)))*h**(2\/23)*h\/h**(-4))**(-45) assuming h is positive.\nAnswer: h**(-418815\/2024)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 455311950 to the nearest one million.\nAnswer: 455000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -2 + (3 - (5 - 14)) - (11 - (-8 - -60))\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -8429*w + 2671. Is a(-32) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*d + 3*d**3 + 0 - 3*d - 2 to the form w*d**3 + b*d + r*d**2 + z and give w.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -8374b - 888?\nAnswer: -84306","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*y + 2*a + 10, y - 1 + 2 = -2*a for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000000141 to 7 decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = 3*v + 16*b - 21*b, -1 = 2*v - 5*b. Let p(i) = -i**3 + 3*i**2 - 3*i + 5. Determine p(v).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 74152*p**4 - 145089 wrt p?\nAnswer: 296608*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve m - 4*m = -h - 13, -h = -5*m + 23 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -45524149 or -227620744\/5?\nAnswer: -45524149","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m = 3*z - 139, 3*z = 2*m - 0*z - 305. What is m rounded to the nearest 10?\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5 = -s + 5*s - 5*f, 5*s + 5*f + 40 = 0 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l + 4084 = 5*p, 6 = 15*l - 13*l. What are the prime factors of p?\nAnswer: 5, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j - v - 2*v - 23 = 0, 5*j + 3*v - 47 = 0. Let x(m) = -m**2 + 15*m. Is 50 a factor of x(j)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dd when two letters picked without replacement from {h: 6, d: 5, w: 4}?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve i + 22*l - 19*l = -17, -3*l - 32 = 4*i for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 35*q**2 + 15*q.\nAnswer: 5*q*(7*q + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w = -5*i + 21, -3*i = 4*w + 4 - 20. Let k be ((-82)\/40 - -2)\/(2\/i). Sort 0.3, 3, k in increasing order.\nAnswer: k, 0.3, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2 or 2\/3?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -121369\/210 - -4079\/7. Calculate the common denominator of 49\/15 and w.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 5? (a) -0.01 (b) -5 (c) 0.4 (d) 0.5 (e) 154\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 41864.4 - 41864. What is the nearest to 15\/4 in 56, 2\/3, t?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 101110001 (base 2) to base 3\nAnswer: 111200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s + 0*s = 300. What is s rounded to the nearest 100?\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 128436 = t + 5*i, 5*t - 3*i - 642320 = -0*i. Is t a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -459*n = -462*n + 27. Calculate the remainder when 37 is divided by n.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 7*p**5 + 30*p**4 - 33*p**4 + 4*p**5 + (-3*p**3 - 5*p**4 + 3*p**3)*(4*p + 2*p - 5*p) + (-3*p**2 + 4*p**2 - 3*p**2)*(19*p**3 + 46 - 46).\nAnswer: -32*p**5 - 3*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 83289859?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 12\/25 of a kilometer in centimeters?\nAnswer: 48000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3111483928.\nAnswer: 2, 7, 19, 113, 3697","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.01 - -0.1. Let t = n - 0.11. Which is the smallest value? (a) t (b) 2\/5 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -5.2 - -5.59. Let b = 18.39 - m. Let v = b - 13. What is the biggest value in -2, v, 2?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zi when two letters picked without replacement from tozih.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put 42, 4, 62107 in ascending order.\nAnswer: 4, 42, 62107","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is -526 != 550?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 161, 310, 459, 608, 757?\nAnswer: 906","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4567857232?\nAnswer: 2, 41, 163, 42719","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -5285, -23441, -54451, -98309, -155009, -224545, -306911, -402101?\n\"Answer: m**3 - 6433*m**2 + 1136*m + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 337783?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -313702529085.3 less than -3.5?\nAnswer: 313702529081.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor j**4\/9 - 554725*j**3\/9 + 554723*j**2\/3 - 1664167*j\/9 + 554722\/9.\nAnswer: (j - 554722)*(j - 1)**3\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 10327c9 (base 13) to base 14\nAnswer: 920506","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18106*y + 345*y**2 - 307*y**2 - 34 + 34 - 18106*y.\nAnswer: 38*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 10*b**2*t**4 - 1160*b**2 - 16*t**5 + 2*t**4 - 2*t**2 wrt t.\nAnswer: 240*b**2*t - 960*t**2 + 48*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -j**3 + 20*j**2 - 72*j - 49. Give o(15).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -3\/83611, -1, 1236?\nAnswer: 1236","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 1\/2328423640?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -24 - -35. Suppose 3*o = a + 4, -14*a = 4*o - 11*a - 27. Calculate the least common multiple of o and x.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 83765 and -147.\nAnswer: 83618","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f and 1 u when two letters picked without replacement from {f: 1, u: 10, w: 6}?\nAnswer: 5\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (11 - 28 - 12 - 62)*(0*o + 0*o - o**3) to y*o**3 + d + q*o**2 + s*o and give y.\nAnswer: 91","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 4\/(-3)*(-3)\/1. Let m(h) = -h + 3*h - r*h. Let a(b) = 208*b**2 + 5*b + 40. Let c(t) = 119*t**2 + 3*t + 24. Let f(y) = 3*a(y) - 5*c(y). What is m(f(x))?\nAnswer: -58*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17 = 5*i - 8. Suppose i*n - 16 = 24. Calculate the highest common factor of 32 and n.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -59*y. Let g(f) = 26*f + 20. What is g(s(w))?\nAnswer: -1534*w + 20","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor 287302500*u**4 + 5746185600*u**3 + 28732962016*u**2 + 13560320*u + 1600.\nAnswer: 4*(u + 10)**2*(8475*u + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 27613 is divided by 159.\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 8 - 5. Suppose 0 = 3*p + b - 23, 3*b + 24 = v*p - 15. Calculate the remainder when ((-119)\/(-238))\/(2\/104*1) is divided by p.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 157236 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(2178) + -4 - sqrt(2178)) + -4 + sqrt(4050))**2.\nAnswer: -720*sqrt(2) + 4114","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-16)\/80*2)\/(9\/5).\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -5490540 to the nearest 1000000.\nAnswer: -5000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 704 minutes before 5:50 PM?\nAnswer: 6:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 120\/(-72)*(1 + 2). Suppose -p = -5*h + 11, -p - 4*p + 3*h + 11 = 0. Let t(d) = -d**2 + 13*d - 15. Let y be t(12). Put y, u, p in ascending order.\nAnswer: u, y, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of (-9)\/1 + 1014\/13 and 9.\nAnswer: 207","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 646 + -3446. Round d to the nearest one thousand.\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-4)\/(-6) - (-94)\/(-6). Let o = -3 - 1. Calculate the common denominator of (610\/d)\/(o\/2) and -14\/11.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a = -2*b + 72, 2*a - 141 = -5*b - a. Suppose -8*w - b = -2*w. Put -3, 2, w in increasing order.\nAnswer: w, -3, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -57*t = -62*t - 25 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.4, -1\/2, 1\/4, 83, 0.3 in descending order.\nAnswer: 83, 0.4, 0.3, 1\/4, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -45 (b) -0.07 (c) 0.2 (d) 13\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2 - -1 - (-6 + 7). Solve -5*m + x + 19 = 0, -2*m + z*x - 10 = -4*m for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 (base 16) to base 11\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2569310 to the nearest integer?\nAnswer: 1603","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4*m**3 - m**3 + 0*m**3)*(-1163 + 706 - 995) to z*m**2 + h*m**3 + c*m + b and give h.\nAnswer: -4356","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2418 and 2455076?\nAnswer: 806","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = r**3 - 8*r**2 - 7*r - 9. What is g(9)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 2, e: 2, u: 7, s: 3, l: 4}. What is prob of picking 1 s and 1 e?\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -116\/5, -8\/5, -1, 0.01, -2\/19?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 9643599?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -29 + 19. Let g be (-828)\/10 - (-2)\/u. Let h = -49 - g. Does 12 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/3*(-24)\/(-8)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.01104010035 to five decimal places.\nAnswer: -0.01104","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jarjabf. What is prob of sequence jaa?\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (sqrt(77) + -3*sqrt(77) - sqrt(77))\/sqrt(11).\nAnswer: -3*sqrt(7) - 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -3330014 (base 7) in base 15?\nAnswer: -819c2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 913129460.\nAnswer: 2, 5, 6733, 6781","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*x - 15 = 0, -5*x - 16 = 5*a - 49 - 2 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e, 1 r, 1 f, and 1 i when four letters picked without replacement from raiiaafnenn?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 16207 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 515, -1, -9, 132 in descending order.\nAnswer: 515, 132, -1, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 divided by -326.\nAnswer: -3\/326","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -15155628 and 0.16458?\nAnswer: 15155628.16458","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2\/(-3*2\/(-12)). Let w be ((-6)\/z)\/(6\/(-60)). Suppose -65 = -5*c + w. What is the smallest common multiple of 2 and c?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -w**3 + 11*w**2 - 3*w - 118. Let a be i(9). Solve 0 = -38*y + 55*y - a for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 - 2 = 2*w. Suppose 5*g + w - 21 = 0. Suppose 0 + 0*v - 4*v**5 + 4\/3*v**2 + 26\/3*v**4 - 6*v**g = 0. Calculate v.\nAnswer: 0, 1\/2, 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.084 (b) -22 (c) 2 (d) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 11666133 to the nearest integer?\nAnswer: 3416","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -613, -601, -589, -577, -565?\n\"Answer: 12*j - 625","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = a**2 + 4*a - 49. Let p be l(-9). Let k(n) = -n + 1. Let i be k(p). Calculate the remainder when i\/(4 - 54\/14) + -3 is divided by 9.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-15)\/(-135)*(-54)\/(-60)\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -11838, -11890, -11932, -11958, -11962, -11938, -11880, -11782?\n\"Answer: c**3 - c**2 - 56*c - 11782","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j + 3181 = 2*b, -22*b + j - 7956 = -27*b. What is the greatest common factor of b and 172?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -7351 - -7403. What is the highest common factor of 767 and r?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -15*p + 5*p - 30 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -719135 divided by 4\nAnswer: -719135\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-10)\/6 - 8\/(-12). Let s be (155\/20)\/(1\/(-4)). Let w = s + 154\/5. Which is smaller: c or w?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = s - 4. Let v(a) = a - 222. Determine g(v(j)).\nAnswer: j - 226","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*g - 10, 2*g = 2*w + 3*w - 51. What is the remainder when 19 is divided by w?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ccgcgggo. Give prob of sequence go.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -99206 - -496032\/5. Let z = 9 + -17\/2. Find l such that -4\/5*l**3 + 4\/5*l - n + 9\/10*l**2 - z*l**4 = 0.\nAnswer: -2, -1, 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6841984?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -8*k*q**3*w*x + 190*k*q*w**2*x + k*q*x + 5*q**3*w**2 + 8*q**3*w*x + 3*w**2*x + 78*x wrt w?\nAnswer: 380*k*q*x + 10*q**3 + 6*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4879?\nAnswer: 7, 17, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 0 + 3 + (-2 - -2). Let d(o) = -2*o**2 - 3*o - 2. Let y(v) = -1 - 1 + 844*v + 0 - 840*v + 2*v**2 + 4. Suppose -w + 2*w - 2 = 0. What is j*d(l) + w*y(l)?\nAnswer: -2*l**2 - l - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -x**3 - 2*x**2 - 4*x - 20. Let n(j) = j**3 + 3*j**2 + 6*j + 20. What is 2*n(h) + 3*r(h)?\nAnswer: -h**3 - 20","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -254*f**2 + 43*f**2 + 235494*f - 235496*f.\nAnswer: -211*f**2 - 2*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = 5*c + 0*c + 2*c + 6. Let s(j) be the third derivative of -1\/3*j**4 + 0 - j**2 - 7\/6*j**3 + 0*j. Give -7*d(q) - 6*s(q).\nAnswer: -q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 23955984 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) be the second derivative of -13*f + 3\/100*f**5 - 4\/15*f**4 + 1\/10*f**3 + f**2 + 0. Find k, given that m(k) = 0.\nAnswer: -2\/3, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -44 - -124. Let m = 80 - p. Let v = 3.2 + -0.2. Which is the smallest value? (a) m (b) v (c) -10\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a - 28 = 10. Suppose 5*g - 1 = a. Suppose 0 = k, -g*i - 8*k = -4*k - 52. Is i a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 32.65 + -33. Round z to one decimal place.\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p + 2 = 3*l - 2*l, -3*p + 3*l = 6. Suppose 0 = -5*s - p*s + 30. Let h(m) = 2*m - 8. Let c be h(s). Solve c = -n + i, 4*n - i + 8 = -2 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 3 and 0.227.\nAnswer: 0.681","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 648 and 7479.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -h - 15. Let q be (-19 - 676\/26) + 19. Give x(q).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 221095767 + -1545010023\/7. Let x = f + -378658. Let u = -1388 + x. What is the common denominator of -51\/7 and u?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = 4*p**2 - 1. Let i(y) = -y**3 + 5*y**2 - 1. Let w(b) = 3*i(b) - 4*q(b). Let f be w(-1). Suppose -2*k = k - f. Which is smaller: k or 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-48)\/(-352)*(-4)\/3 - 2312\/3740?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 101 + 122. Let o = 220 - j. Let d(g) = -4*g - 2. Let z(f) = 7*f + 3. Let u(s) = 5*d(s) + 3*z(s). Let p(w) = w - 2. What is o*u(i) + 2*p(i)?\nAnswer: -i - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 70506 and 222?\nAnswer: 2608722","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 380 is divided by 133.\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(sqrt(20)\/sqrt(64) + (sqrt(35)*2)\/sqrt(7)).\nAnswer: -9*sqrt(5)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*sqrt(5445)*-2 + 3*(sqrt(5445) - (sqrt(5445) - -1*sqrt(5445))**2 - sqrt(5445)) - (1 + (-2 + sqrt(5445))**2)*-5.\nAnswer: -38090 - 462*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/(-2 - -5)*2?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-10 - -7 - -11) + (-6 - -7)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 706 - 358. Calculate the least common multiple of 5 and s.\nAnswer: 1740","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4*(-6)\/40)\/(90\/(-100)).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-8)\/10*(-50)\/(-5)*1.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/9 + 3 + 172\/(-36)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = 33*d**4 + 2*d**3 + 2*d**2 - 39. Let q(f) = -32*f**4 - 3*f**3 - 3*f**2 + 40. Let c(v) = 3*n(v) + 2*q(v). Differentiate c(h) wrt h.\nAnswer: 140*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g**3\/g**(2\/5)*g**(-1\/2)\/(g\/g**(-1)*g) assuming g is positive.\nAnswer: g**(-9\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven eighths of a micrometer in nanometers?\nAnswer: 1375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1\/3*i**3 + 4\/3*i**2 + i + 0.\nAnswer: i*(i + 1)*(i + 3)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -0.5 (b) 2 (c) 134 (d) -3 (e) 4\/7\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve m - 4*t - 41 = 0, -4*m + 55*t + 621 = 106 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 781726 to the nearest 1000.\nAnswer: 782000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 144631890?\nAnswer: 2, 3, 5, 13, 37, 257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 204322169387 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = 5*h + z - 52, -2*z - 41 = -5*h. Solve 5*b + h = 24 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o - 3*o = -15. Suppose o = -4*b + 2*g - 5*g, 1 = b - g. Suppose b = -4*t + 127 + 5. Calculate the lowest common multiple of t and 21.\nAnswer: 231","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 143 + -144. Let o be (u\/(-11))\/(4\/8 - 0). Which is the smallest value? (a) -0.07 (b) -0.3 (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -h**2 - 8*h - 3. Let c be k(-9). Find the common denominator of 4\/2 - (-94)\/28 and (134\/(-10))\/(c\/15).\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (3\/50)\/(66\/1298) and 29\/70?\nAnswer: 350","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = n**3 + n + 8. Let c be t(0). Suppose -u + c = 3*u. Suppose -u*b + 6*b = 8. Solve 4*d = b*d + 2 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) be the third derivative of 1\/30*c**6 + 0*c**4 + 15*c**2 + 0 - 2\/105*c**7 + 0*c**3 + 0*c**5 + 0*c. Let v(x) = 0. What is x?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 88 divide 1997501?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1309*q**3 + 26408*q**3 + 16840*q**3.\nAnswer: 41939*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.0368 and 0.06?\nAnswer: 0.0232","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 175, 198, 245, 322, 435, 590, 793, 1050?\n\"Answer: o**3 + 6*o**2 - 2*o + 170","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (103 - 103 - q - 35*q**2)*(1 + 3 + 0)*(-14 + 28 + 42) as f + j*q**2 + i*q and give j.\nAnswer: -7840","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 14528 a multiple of 62?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s + 4*d + 28050 - 9598 = 0, 2*s - d - 18461 = 0. Suppose -2804 = -12*i + s. Is i composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o - 3*u - 2280871 = 0, 0 = -2*o + 6*o + 3*u - 4561715. Suppose 3*y - o - 1270030 = 0. Let f = 363487 - y. Round f to the nearest 100000.\nAnswer: -400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1\/3 (b) 3 (c) -1 (d) 0.232\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + -3*5*(3 + sqrt(8)*1 + sqrt(2) + 1*sqrt(72) + sqrt(2)).\nAnswer: -150*sqrt(2) - 50","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q - 2*z = 16, z = -0*q - 4*q + 47. What are the prime factors of q?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 113.05 - 113. Let t = 0.6 + -0.85. Let d = r - t. Which is the third biggest value? (a) 0 (b) -2\/13 (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 75 is divided by 38.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (4 - -4) + (8 - 4) + -11 - -25\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 45 + 3*(66\/18 + -1). What is the greatest common factor of 4 and o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 16364 + -80141\/5. Let z = -335 + w. Find x such that 8\/5*x**2 - z*x + 0 = 0.\nAnswer: 0, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine a so that -6*a**3 + 2436676*a**2 + 9746728*a\/3 + 3248912\/3 = 0.\nAnswer: -2\/3, 406114","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -4\/5, 4, 2, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 2 + -2 + (-24)\/20*-5. Let h be 5*((-8)\/(-5))\/2. Solve -2*n = h*l + c, -5*n + l - 3 = -4*n for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -5\/2854 - -103480\/12843. What is the common denominator of -65\/6 and c?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-3)\/(-21) + (-102)\/(-21). Suppose -4393 = -r*d + 327. Let y = d + -490. Is y a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 277 minutes before 11:28 AM?\nAnswer: 6:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oqoo when four letters picked without replacement from {q: 3, o: 9}.\nAnswer: 7\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 33862, 33995, 34120, 34243, 34370, 34507, 34660, 34835?\nAnswer: 35038","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 plus -6407260813?\nAnswer: -6407260818","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 2374, 4757, 7140, 9523, 11906?\n\"Answer: 2383*o - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 26260213 (base 7) to base 6.\nAnswer: 123244124","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 38 minutes before 5:23 PM?\nAnswer: 4:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 10 and 749.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = c + y - 5, 4*c - 3 + 18 = 3*y. Solve 12 + c = -12*l for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = 47*o**3 + 4*o**2 - 3*o + 1. Let a be i(2). Let m = -94 + a. Is m a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 0 - -b2789b?\nAnswer: b2789b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 0.7258076 decades?\nAnswer: 0.07258076","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j = 4 + 5. Let u(y) = y + 3. Let g be u(j). Suppose -8*p + g*p = 92. What are the prime factors of p?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -u**3 - 20*u**2 - 18*u + 19. Let i be n(-19). Suppose -2*x + 3*x = i. Let q(s) = s**2 - 2*s + 62. What are the prime factors of q(x)?\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 1, q: 3, c: 5, t: 7}. What is prob of sequence ccct?\nAnswer: 1\/104","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -y + 1. Let r(l) = -9*l**2 + 15*l - 15. Let f(o) = r(o) + 15*z(o). Let a(h) = -2*h. What is f(a(x))?\nAnswer: -36*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:13 AM and 5:19 PM?\nAnswer: 546","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express i - 2*i**3 + 0*i + 0*i**3 - 3*i**3 + i**3 - 3*i**3 + (8*i**2 + 7*i**2 - 7*i**2)*(2*i - 6*i + 3*i) in the form s + m*i + l*i**2 + y*i**3 and give y.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.5 - -2.5. What is the closest to -1 in 2\/7, -0.3, c?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/86)\/(-1121 + 1120).\nAnswer: -1\/43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 5\/3 (b) -1.8 (c) 0.2 (d) -10\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 341444332 + 2?\nAnswer: 341444334","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u*u**1)**(9\/5)*(u*(u**(-2)*u)\/u)\/(u\/(u**(-1\/6)*u)))**(2\/3) assuming u is positive.\nAnswer: u**(73\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-4)\/8)\/(3 - (-14)\/(-4)). Let a be ((-28)\/(-42))\/(l\/3). Solve -3*t + 5*c - 26 = 0, 4 = -c + a*c for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 560 minutes before 3:11 PM?\nAnswer: 5:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1 - o + 1 + 8*o - 3*o - 4*o + 6 + (2 - 2*o - 2)*(-7 + 1 + 1).\nAnswer: 10*o + 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.342 - 0.058. Which is the nearest to 2\/9? (a) -3\/4 (b) w (c) 0.05\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 47599 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*r - 12*r - 28*r)*(3*r - 3*r + 3*r + (6 - 2 - 3)*(r - r + 2*r)).\nAnswer: -180*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -173 or -157?\nAnswer: -157","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.673 - 0.173. Which is the second biggest value? (a) -2\/5 (b) 5 (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2600)\/6435 + (-2)\/(-11).\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2329010 to the nearest integer?\nAnswer: 133","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 43\/3 and -17\/2064.\nAnswer: 2064","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y + 4*s - 1 + 2 = 0, 3*y + 2*s + 23 = 0. List the prime factors of -1 + 39 + y + 6.\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -40, 27, -2, -4, -38 in decreasing order.\nAnswer: 27, 3, -2, -4, -38, -40","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 1454?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j - 4*o + 17 + 11 = 0, -2*j = -2*o - 4. Suppose 44 = j*h + 28. Suppose -d + 143 = 2*y - 134, -262 = -2*y - h*d. What are the prime factors of y?\nAnswer: 3, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2347, 2351, 2357, 2365, 2375, 2387, 2401?\nAnswer: 2417","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-14 + (-2910)\/(-207))*4\/8.\nAnswer: 2\/69","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 102305 is divided by 7859.\nAnswer: 138","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g - y + 1 = 0, -4*y + 8*y - 25 = 3*g. Let d(u) be the first derivative of 13*u**3\/3 + 3*u**2 + 6*u - 1. Is d(g) a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*r**4 - 2*r**4 - 3*r**4 + (-2 + 2 + 1)*(2*r**4 + 0*r**4 - r**4) - 48 + 48 + 25*r**4 + (-5 + 2 + 15)*(0*r**2 + 0*r**2 + r**4).\nAnswer: 36*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express 0 + 2*c + 0 + (2 + c - 2)*(2 + 0 + 0) - 2 - c + 2 - 2*c + 5*c - 2*c - 2 + c + 2 in the form a + y*c and give y.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-6)\/(-9))\/(2\/12). Suppose -v + 13 = -m*q + 30, -q - 5*v - 1 = 0. Solve 3*c - 13 = -q for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -743\/3 greater than -247?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 8314026?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -4.155 + 2.155. Let p = -0.07 - -0.14. Let s = -2.93 - p. Which is the third biggest value? (a) s (b) -5 (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) be the second derivative of 0*n**4 - 1\/7*n**2 + 1\/35*n**5 + 0 + 1\/105*n**6 - 27*n - 2\/21*n**3. Factor v(j).\nAnswer: 2*(j - 1)*(j + 1)**3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -140 greater than or equal to -136?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/(-5)*2*(-6)\/9*-15.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + 49 = 25. Calculate the least common multiple of 33 and t.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) 2\/5 (b) 77 (c) -2 (d) 18 (e) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 31585 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 122487805 times -5?\nAnswer: -612439025","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:06 AM and 2:50 PM?\nAnswer: 584","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) be the first derivative of 0*s + 71\/2*s**4 + 0*s**2 - 64 + 113\/3*s**3. What is the third derivative of u(n) wrt n?\nAnswer: 852","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*w**2 - w**2 + 15*w**2 - 2*w**2 - w**2.\nAnswer: 2*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 188 - 244. Let m = 14 - 65. Let p = a - m. What is the second smallest value in 4, p, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 49b89 (base 15) in base 11?\nAnswer: 150a12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8*(-126)\/(-576) - (-324)\/(-240).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 88789 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z = t - 115, -115 = -t - 137*z + 130*z. Solve 4*b - 2*k + 129 = t, -b + 1 = k for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = d. Let j(y) = 4*y + 3. Let o(q) be the second derivative of 7*q**3\/6 + 5*q**2\/2 + 2*q. Let m(v) = -5*j(v) + 3*o(v). Determine m(x(n)).\nAnswer: n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2639194 is divided by 211?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 1*-4 + 6\/(-3)*(-226378)\/4 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 - 38734956.\nAnswer: -38734955","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -220 + 100202212?\nAnswer: 100201222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) be the second derivative of 0 + 155*x + 1\/20*x**5 - x**3 + 1\/2*x**2 + 5\/12*x**4. Determine d(-6).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2546646 (base 7) to base 8\nAnswer: 1207073","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(1\/3)\/(r*r**6))\/(r**(-1)\/r)**(-24) assuming r is positive.\nAnswer: r**(-164\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6\/(-30)*3\/(-1).\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 9*u - 38*u - 19 + 11*u + 12*u wrt u.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*j = 75 - 139 for j.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -556 + 558. Solve 3*g + 2*b - 4*b + 5 = 0, -5*b = -a*g - 7 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 42098629 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -38 + 115\/3. Let k = -0.292 - 0.008. Which is the third biggest value? (a) v (b) k (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((4*z + 2*z**2 - 4*z)*(-3*z + 4*z - 3*z) + z**3 - 2*z**3 - z**3)*(-3930456 + 3930456 - 2707*z).\nAnswer: 16242*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from aaaaaaaaaaaaaaiaaa. What is prob of sequence aa?\nAnswer: 8\/9","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is eight thirds of a day in hours?\nAnswer: 64","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10015 + 16216 + 31656 + 14750 = 1697*p for p.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1133731 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 + 3 = 4*g. Suppose -v = -g*v. Let j be (v - -20) + (2 - 5). Calculate the greatest common factor of 187 and j.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = 5*r - 3. Suppose -5*q = -0*q, -5*q = -r*d + 74. What are the prime factors of d?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0 + 0. What is the closest to w in -0.5, -1\/3, -5?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/2 of a litre in millilitres?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 2027 divide 44450083?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -1107*w - 6482. What are the prime factors of x(-18)?\nAnswer: 2, 3361","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -643 - -653. Calculate the greatest common factor of b and 1390.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n*n\/(n\/((n*n**(-3\/2))\/n)))\/n*n*n**6)**17 assuming n is positive.\nAnswer: n**(187\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 3749 to the power of 1\/3, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 270010, 540029, 810048, 1080067, 1350086, 1620105?\nAnswer: 1890124","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 0 (base 3) to base 8\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out -5943.878266 - 0.61.\nAnswer: -5944.488266","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 39? (a) 0 (b) 1 (c) -62\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26 = -2*j - 20. Suppose 0*m - 237 = -5*q + m, -q - j*m = -41. Solve -26*s - 21*s - 2*s**3 + q*s - 2*s**5 - 4*s**4 = 0 for s.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (13272000\/(-63))\/(2\/(-75)). Round d to the nearest one million.\nAnswer: 8000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4137314?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-42)\/(-27) - 1)\/(2982\/84 - 38).\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 25 and 935280?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -6416 + 6423. Solve -4*p + 17 = -a for p.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(3\/13)*h)\/h*h*h**(3\/4)*(h*h**(-1\/10))\/h**(8\/9) assuming h is positive.\nAnswer: h**(4661\/2340)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0.4, -2\/7, -189, 9, -0.1?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 85633 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -25 - -25. Let g be 2 + (6 + t)\/2. Solve 3*r - 5*z = -2, r - 3*r = -g*z - 2 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19020 a multiple of 634?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 2, i: 1, k: 1, p: 2, m: 2, h: 1}. What is prob of picking 2 a and 1 i?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q = -n - 2*q - 16, 3*q = n - 19. Suppose 42*m + 264*m**3 + 369*m**2 + 12 + 74*m**n + 40*m + 38*m - 314*m**4 = 0. What is m?\nAnswer: -2\/5, -1\/4, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -238962, -477947, -716960, -956001, -1195070, -1434167?\nAnswer: -1673292","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 63950 is divided by 145?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 123*x + 2476 + 34 = 50 for x.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 23 divide 598?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) be the third derivative of 155*x**6\/24 + 679*x**5\/30 + 1002*x**2. Find the third derivative of r(a) wrt a.\nAnswer: 4650","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 + 7486*l**3 + 7 - 13 - 7492*l**3 - 14.\nAnswer: -6*l**3 - 22","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = 173*r**2 - 3*r - 3. Let l = 10 - 8. What are the prime factors of w(l)?\nAnswer: 683","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1940 + -1823. Solve 128*j - t*j = -22 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = t**3 - 23*t**2 - 2*t + 51. Let h be s(23). Solve -5*d - 2*r - 19 = 0, 3*d - h*r - 12 = -42 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7489 to the power of 1\/3, to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -4752 (base 8) to base 6\nAnswer: -15430","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -11101 * -474\nAnswer: 5261874","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 539, 517, 467, 377, 235?\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -16, -44, -76, -112?\n\"Answer: -2*a**2 - 22*a + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 209 a factor of 2719352?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 11920789 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -16 from -4666.\nAnswer: -4650","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (2\/(-5))\/(168\/(-35))*2. What is the nearest to 0.1 in y, -5, 0.6?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*n + 202 = -3*z + 200, 5*n + 3 = z for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 20b - 25c?\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = l**2 + 10*l + 1. Let y(d) = 4*d**2 + 14893*d + 5. Determine -5*j(r) + y(r).\nAnswer: -r**2 + 14843*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -5, 24, 83, 178, 315, 500?\n\"Answer: s**3 + 9*s**2 - 5*s - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*y**2 + y**2 + 0*y**2 + (3*y - 3*y - 4*y)*(3*y + 1 - 1))*(-19*y - 52*y - 26*y) to the form g*y**2 + m*y**3 + z + a*y and give m.\nAnswer: 776","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*k - 65*k + 2464 = -29*k + 39*k for k.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -219223\/82 + 2673. What is the common denominator of j and 52\/205?\nAnswer: 410","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*p, -65 + 159 = 2*k + 2*p. Solve -k*n + 2 = -46*n for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-453)\/54 + 1 - 1 and (-215)\/(-5)*(-3)\/(-18).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = y - 59. Let s be a(0). Let q = 64 + s. Let d(i) = i**3 + 5*i**2 - 6*i + 2. Let l be d(-6). Solve q*g + 18 + l = 0 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = 5*y + 5. Let c(j) = -j - 1. Let w(x) = -6*c(x) - f(x). Let h be w(4). Suppose a + 3*a + 28 = 3*k, -k - h*a - 16 = 0. What is the units digit of k?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x = -2*w - 3870, 3*x + w - 986 = 1919. Let m = 1683 - x. Calculate the greatest common divisor of m and 65.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -7 + 9 + 1*-2. Suppose h = -5*l - 4*l + 36. Suppose -o = 2*p - 10, l*p = -3*o + 2*o + 8. Is 5 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1032 - 779. Is m less than 252?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -91*a + 97*a - 1998 = 0. What is the remainder when a is divided by 42?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -3 and -33.6.\nAnswer: 100.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h**2 - 189432*h + 2841255 = 0. What is h?\nAnswer: 15, 189417","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) be the second derivative of -2*u**3\/3 - 5*u. Let d(g) be the second derivative of 0 + 0*g**2 + 1\/12*g**4 - g + 0*g**3. Determine y(d(b)).\nAnswer: -4*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve c - 104*i + 103*i = 7, 3*c = -5*i + 5 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 28902, 32899, 36896, 40893, 44890, 48887?\n\"Answer: 3997*p + 24905","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1310192.19 and -0.1.\nAnswer: -131019.219","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -327, 5, -11, -4.\nAnswer: -327, -11, -4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(44) - (sqrt(44) - (sqrt(44) + sqrt(44) + 1)))*2 + 3 - (sqrt(44) + (sqrt(176) - sqrt(176)*-2) + (sqrt(396)*1)\/sqrt(9)))**2.\nAnswer: -80*sqrt(11) + 729","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (2\/(-5))\/(11\/(-5)). Let v = 284\/5225 + 14\/275. Which is the second smallest value? (a) v (b) 0.5 (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17070000 rounded to the nearest one million?\nAnswer: 17000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -9*p + 13*p + 15*p. Let s(a) = a. Determine s(x(o)).\nAnswer: 19*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -97*m + 85. Let l(i) = -93*i + 85. Let j(s) = 3*a(s) - 4*l(s). Is j(20) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -57*g + 53*g = 12, -3*g = -h + 14 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 10, d: 4}. Give prob of sequence mmmm.\nAnswer: 30\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1445 = -29*w + 34*w. Suppose w + 61 = 5*d. Suppose -y + 2*g + d = 0, 64 + 155 = 3*y - 3*g. What are the prime factors of y?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 44404421 (base 5) in base 6?\nAnswer: 12152451","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 13 + -49471?\nAnswer: -49458","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.4 and -567158?\nAnswer: 567158.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -4*f**2 + 106*f - 479. Let k be n(5). Sort 0, -3, -4, k, 4 in descending order.\nAnswer: 4, 0, -3, -4, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c**(-12)*c**(3\/4) assuming c is positive.\nAnswer: c**(-45\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 6 (b) 4 (c) -3\/2 (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -i**2 + 3. Let n be k(-3). What is the common denominator of ((-1)\/n)\/((-10)\/474) and -59\/20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 91 and -6.\nAnswer: -546","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 297b - 40bb?\nAnswer: -1540","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -x**2 - 8*x - 18. What is c(-9)?\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 w and 1 a when four letters picked without replacement from {a: 3, v: 4, c: 5, w: 4}.\nAnswer: 3\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (-135)\/(-12)*(-11200)\/(-1575)?\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -19594 - -19574. Sort -2, 5, 0, 1, t.\nAnswer: t, -2, 0, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 90 or 547\/6?\nAnswer: 90","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 292 minutes before 8:28 AM?\nAnswer: 3:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 1\/4 of a litre?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2627 - 2627. Let m = 0.4 - -1.6. Let u = -2 + m. Which is the closest to u? (a) 0.3 (b) g (c) -1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-12)\/(-4) - 0\/2. Suppose -3*r = -3*m - 6*r + 18, -3*m = -g*r + 12. Solve -5 - m = -2*h for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 0, 33, 112, 261, 504?\n\"Answer: 4*p**3 - p**2 + 8*p - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = 18*g**4 - 5*g**2 - 6*g + 137. Let h(p) = -p. Let c = -379 - -373. Let z(j) = c*h(j) + v(j). Differentiate z(y) with respect to y.\nAnswer: 72*y**3 - 10*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 26 - 31. Let r be ((-1)\/(-10))\/(t\/((-320)\/12)). What is c in -2\/5*c**2 + r + 0*c - 2\/15*c**3 = 0?\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1665 + -1501. Solve x = -159 + i for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -16*u**2*x**4 - 907*u**2*x**2 + 2*u*x**2 + 4*x**4 wrt x?\nAnswer: -384*u**2*x + 96*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -2*d**2 + 2*d - 3. Let m(c) be the second derivative of -c**4\/4 + c**3\/2 - 3*c**2 - 3*c. Let f(p) = -5*a(p) + 3*m(p). Is 27 a factor of f(-5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine v so that 9*v**4\/2 + 743109*v**3\/4 + 681159*v**2\/2 + 495381*v\/4 - 61923\/2 = 0.\nAnswer: -41282, -1, 1\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (2\/4)\/((-2)\/(-212)). Let r = -30 + w. Calculate the remainder when r is divided by (-39)\/(-5) + 1\/5.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*i**2 + 11*i + 4*i**2 - 107*i**2 + 95*i**2 - 2*i**2.\nAnswer: -i**2 + 11*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -1234986 take away 472?\nAnswer: -1235458","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in nineteen quarters of a minute?\nAnswer: 285","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -71 - -70. Suppose -z + 13 = -3*q - 0*z, -4*q + 4*z - 12 = 0. Let w be 6\/3*1\/q. Which is smaller: l or w?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15593688015 - -10741.\nAnswer: 15593698756","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -120 (base 9) in base 14?\nAnswer: -71","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:35 PM and 6:23 AM?\nAnswer: 528","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 8, 14, 46, 116, 236, 418?\nAnswer: 674","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 8*c - 3*c. Suppose -5*i + 3*a - 96000000 = c, a - 57600000 = 3*i - a. What is i rounded to the nearest one million?\nAnswer: -19000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/60 in -0.0192, 0.1, 4\/7, 0.08?\nAnswer: -0.0192","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a*a**3)**(1\/41) assuming a is positive.\nAnswer: a**(4\/41)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x and 1 k when two letters picked without replacement from vxvuukt.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/114? (a) 3 (b) -46 (c) -1 (d) 4 (e) -1\/7 (f) -3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.5 and 1.0062381?\nAnswer: 0.50311905","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 238 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -239 + 269. List the prime factors of 236\/9 - h\/135.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = 8 - t + 6*t - 11*t + 8*t**2 - 2. Let w(a) = 17*a**2 - 13*a + 13. Let l(r) = 6*w(r) - 13*y(r). Let m(x) = 59*x**2. Calculate m(l(b)).\nAnswer: 236*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*u - 1027 = -31867. Calculate the smallest common multiple of u and 14.\nAnswer: 10794","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) be the first derivative of g**4\/4 + g**3 - 6*g**2 + 4*g + 811. Let r(q) = -q - 2. Let k be r(3). Is l(k) a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 5 + -300033?\nAnswer: -300024","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d**4\/2 + 3*d**3\/2 - 15*d**2 - 6*d + 36 = 0. What is d?\nAnswer: -3, -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + -1*sqrt(7) + sqrt(7) - 2*(sqrt(7) + sqrt(63))**2.\nAnswer: -226","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -1537*f**2 - 2987*f + 5984. Give a(2).\nAnswer: -6138","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6*w + 0 + 8 + 5 - 5 + 39 to c*w + k and give c.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 1, i: 2, j: 2, x: 1}. Give prob of picking 1 i and 1 k.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 9640473 to the power of 1\/2, to the nearest integer?\nAnswer: 3105","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -19773*o**2*p - 2*o**2 + 4*o*p + o - 2*p + 87 wrt o.\nAnswer: -39546*p - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 34\/6 + (-3)\/(-9). Differentiate -17 - q*g**3 - g**3 + 3 + 2*g**3 wrt g.\nAnswer: -15*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -181 + 181. Solve -5*d + 2*o = -15, o = -s*d - 3*d + 20 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -u**2\/3 - 85*u = 0. What is u?\nAnswer: -255, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2\/(-9) - (301\/63 + -9). Sort -2, -28, j in decreasing order.\nAnswer: j, -2, -28","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (0 + 1)*(-1 - -6). Let a(b) = 9*b - 9. Let j(w) = -22*w + 22. Give s*j(v) + 12*a(v).\nAnswer: -2*v + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4905, -4950, -5009, -5088, -5193, -5330, -5505, -5724?\nAnswer: -5993","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-nine fifths of a microgram in nanograms?\nAnswer: 5800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = 15*j + 54. Give t(-3).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:41 PM and 2:25 AM?\nAnswer: 404","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*d + 8*d + 177 = -d + 3*h, 4*d + 11*h - 614 = 0 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -419 + 409 - 94*p**5 - 2*p**2 - 11*p**4 + 100*p**5 wrt p?\nAnswer: 360*p**2 - 264*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of k + 22*k + 71*k**2 - 27*k**2 wrt k.\nAnswer: 88","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*x - 7*x + 2 = 0. Solve 2*n + x*h = 6, 4*n - 6 = 2*n + 3*h for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 333, 334, 335, 336, 337?\nAnswer: 338","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -39353523*h + 203160983?\nAnswer: -39353523","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-6)\/27 + 56\/9. Solve -s = 3*i + 6 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:53 PM and 7:53 AM?\nAnswer: 660","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.03 and 105439.\nAnswer: -3163.17","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1.3 - -1. Let m = 16 - 16.4. Put m, r, -1\/2 in decreasing order.\nAnswer: r, m, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + ((5 + (sqrt(180) + 4 + -3 + sqrt(180) - ((sqrt(180) + 0 - sqrt(180)) + sqrt(180))*5))*5)**2.\nAnswer: -5400*sqrt(5) + 41405","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 24 + -13. Let w = g + -43\/4. Sort -3, 0.2, w.\nAnswer: -3, 0.2, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n + 3*m = 10, 0 = -4*n + 4*m + 17 + 43. Suppose -b = -3*w + n, 2*w + 3*b - 7*b = -6. Suppose 0*i + w*i = 20. What is the units digit of i?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -66*f - 38*f + 92*f - 37*f.\nAnswer: -49*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 35350 rounded to the nearest 10000?\nAnswer: 40000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3.94 + -0.06. Which is the closest to 0? (a) m (b) 10 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**10)**25 assuming g is positive.\nAnswer: g**250","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11 + 9 - 308259822*p + 308259822*p - 36*p**3 - 20.\nAnswer: -36*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = w**3 + 8*w**2 - 9*w + 1. Let o be h(-9). What is the units digit of o\/(1\/(-5)*-1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) be the first derivative of 8\/3*f**3 + 0*f - 9\/5*f**5 - 6 + 0*f**2 + 0*f**4. Find the third derivative of z(i) wrt i.\nAnswer: -216*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2850*c*q**3 - 102*q**3 + 6*q**2 wrt c.\nAnswer: -2850*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 2093196?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 54*j - 59*j + 4*s - 11 = 0, -2*j - 5*s + 22 = 0. Solve -l + j = -0*g - g, -g + 4 = 0 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 303 and 1\/1822 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 2, y: 1}. Give prob of picking 2 y and 1 b.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 18\/(-81) - (40\/(-18) - -1).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1355*n**3 - 2593*n**2 wrt n?\nAnswer: 8130","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1545 and 1906140.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -9277*u**5 - 13*u**3*x**3 + 150*u**2*x**3 - 82*u**2*x**2 - u*x**2 wrt u.\nAnswer: -556620*u**2 - 78*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 20060 divided by 16\nAnswer: 5015\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 469517 is divided by 1534?\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = 10*v**2 + 22*v + 2. Let x = -4 - -4. Let f(r) = -3*r**2 + x - 2*r**2 - 1 - 9*r + r**2. Determine -12*f(b) - 5*y(b).\nAnswer: -2*b**2 - 2*b + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1 + 5. Suppose t*s - 4 = 8. Which is smaller: 1 or s?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 divided by 3305?\nAnswer: 1\/661","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 0, -2\/1617, 0.4?\nAnswer: -2\/1617","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -122 + -11021?\nAnswer: -11220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = 2*h**3 - 15*h**2 - 7*h + 2. Let k be -2*((-14)\/3)\/(-7)*12\/(-2). Determine j(k).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j = -3*n + 2, -4*n - 7 + 3 = 2*j. Suppose 2*u + u = 2*w + 433, 2 = j*w. List the prime factors of u.\nAnswer: 5, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 31, -38, -8, -1, 3?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -19 (b) 2 (c) -8 (d) -1 (e) -5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 2176006254 to the power of 1\/8, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = 6*d + 8. Let s(t) = -4*t - 24. Let z(h) = -h - 8. Let l(j) = -6*s(j) + 17*z(j). What is -4*l(g) + 5*x(g)?\nAnswer: 2*g + 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + -1 + 2 - 50 - (-14 + (-37 - -55)).\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = 14*r - 7. Let y(s) = -5*s + 2. Let k(j) = 4*h(j) + 14*y(j). Let i(o) = 2*o + 3. Let a(w) = -3*w - 4. Let g(p) = 3*a(p) + 4*i(p). Give k(g(d)).\nAnswer: 14*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3040.\nAnswer: 2, 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 207\/119 - 13\/7. Let g = -324 - -323.8786. Let f = -3.1214 - g. What is the closest to -2\/7 in w, f, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*u - 5720 = -2*u. Suppose -g - u = -2*t + 4*g, 4*t + 5*g - 1445 = 0. Does 30 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 168 = -246*p + 248*p. What is the lowest common multiple of p and 28?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + -3 + 4 + sqrt(432)*1 + sqrt(432) + 3*sqrt(432) + 4 + 5 + 2)**2.\nAnswer: 2040*sqrt(3) + 11089","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 318\/(-371) - (-3072)\/3633. What is the nearest to -1 in f, -0.4, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*b - 10*b - 4 + 7*b + (2*b + b + 0*b)*(1452 - 944 - 807).\nAnswer: -895*b - 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) be the third derivative of -9*c**6\/160 + 177*c**5\/80 - 115*c**4\/32 + 19*c**3\/8 - 50*c**2. Let d(q) = 0. Calculate q.\nAnswer: 1\/3, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (12\/(-10))\/(8\/(-20)). Suppose -4*f + 6*f = 0. Suppose f = 2*w - r*w. Solve w = -p + 7 - 3 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 211032?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b - 4*u = 3*b - 12, 5*b - 15 = -2*u. Suppose 0 = b*a - 4*l + 61, -4*a - l - 94 = a. What are the prime factors of (-1)\/2*(-3 + a)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = 1143*h**2 + 5*h - 13. List the prime factors of x(2).\nAnswer: 3, 1523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -6*s**5\/7 + 1692*s**4 - 6770952*s**3\/7 + 286978140*s**2\/7 + 495123384942*s\/7.\nAnswer: -6*s*(s - 729)**3*(s + 213)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -489260 rounded to the nearest one thousand?\nAnswer: -489000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + -3 + 5 + -27 + (8 - -46)?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(156)*-2*-5 + sqrt(156) - sqrt(156))*1)\/(sqrt(60)\/(sqrt(20)\/sqrt(4))))**2.\nAnswer: 1300","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**(1\/3))**(-28)\/(i\/i**(-4)*i)**(-43))**(-1\/16) assuming i is positive.\nAnswer: i**(-373\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -727, -795, -1017, -1471, -2235?\nAnswer: -3387","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (23 - 8 - 8) + 0?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + (sqrt(30)\/sqrt(2) + sqrt(15))\/sqrt(3) + 2*sqrt(320) + (sqrt(875)\/sqrt(7) - sqrt(5)))**2.\nAnswer: -132*sqrt(5) + 2429","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**6\/(h**(-1\/8)*h))\/(h**2*h\/(h**(-5)*h)))**4 assuming h is positive.\nAnswer: h**(-15\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 150 is divided by 4\/(-30) - ((-18)\/3 - (-12915)\/(-675))?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2.58, -7\/4, -39 in descending order.\nAnswer: -7\/4, -2.58, -39","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q = 2*y - 14, -4*y + 0*q - q = -48. Let m(s) = s**3 - 13*s**2 - 4. Let z be m(y). Put z, -3, 2 in increasing order.\nAnswer: z, -3, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 64*w**3 - 1153*w**2 + 1153*w**2.\nAnswer: 64*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -288239 divided by -19\nAnswer: 288239\/19","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: Let l(u) be the second derivative of 65*u**3\/3 - 2*u. Let a be (8\/(-12))\/((-2)\/3). Let r be l(a). What is r rounded to the nearest one hundred?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 62805797 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-2)\/4)\/((-1)\/6). Find the third derivative of -u**3 + 0*u**p + u**2 + 5*u**3 wrt u.\nAnswer: 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1 times -1.04?\nAnswer: -0.104","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 1114 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 87912777*f*u + 6393*u - 585 wrt f?\nAnswer: 87912777*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1.08151 - -1.088. Round s to three decimal places.\nAnswer: 0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*o - 460 = 35*o for o.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1636115629?\nAnswer: 1636115629","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand 32*z**2 + 2 - 30*z**2 + 0 + (-z + z - 2*z)*(6*z - z + 8*z).\nAnswer: -24*z**2 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*c - 4*c = -56837. Is c prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5548)\/(-114) + -28 - (-1 + 17).\nAnswer: 14\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -5, -29, -3, -1 in decreasing order.\nAnswer: -1, -2, -3, -5, -29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -4.96718471 to the nearest integer.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 308 and 186564?\nAnswer: 2052204","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = 2*k**2 + 25*k + 198. What is the hundreds digit of d(25)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1.119227 millennia to years.\nAnswer: 1119.227","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -34*q - 172*q**2 + 34*q - 173*q**2 + 584*q**2 - 150*q**2 - 91*q**2.\nAnswer: -2*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.04? (a) -16 (b) -3 (c) 6 (d) 3\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 at most 2\/127?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express 600*x**3 + 55 + 3*x**2 + 593*x**3 + 2*x - 1196*x**3 as s*x**3 + u*x**2 + y + o*x and give u.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 4, o: 6, x: 1}. Give prob of sequence eexo.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = 22*j**2. Let c(d) = -1517*d + 26. Give c(o(m)).\nAnswer: -33374*m**2 + 26","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -7*(456\/(-48) + (-2)\/4). Suppose -t - u + 90 = 0. Does 2 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let z = -9 - -17. Suppose 5*f = -j + 246, -4*j - 34 = -f - z*j. What is the greatest common factor of 200 and f?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = 4*x**2 + 4*x. Let w be d(3). Suppose 5*k = 3*k + w. Calculate the highest common factor of k and 60.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -11463 + 34411\/3. Let n = 32653901\/246 + -132739. Calculate the common denominator of n and f.\nAnswer: 246","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) be the first derivative of -v**6\/3 - 5*v**5 - 29*v**4\/4 + 47*v**3\/3 + 31*v**2\/2 - 22*v + 551. Suppose l(d) = 0. Calculate d.\nAnswer: -11, -2, -1, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -g + 5*s + 111, 2*g + 4*s = 5*g - 355. Let n be 22\/g - 60\/(-33). Factor 2\/5 - 2\/5*d**n - 2\/5*d + 2\/5*d**3.\nAnswer: 2*(d - 1)**2*(d + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.303 in 2\/3, 0.4, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 283, 779, 1617, 2803, 4343, 6243, 8509, 11147?\n\"Answer: s**3 + 165*s**2 - 6*s + 123","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2.19 - 5.19. Which is the fourth biggest value? (a) 1\/8 (b) -5 (c) 4 (d) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/(42\/18*-3)?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-30)\/(-27) - (-154)\/(-90)?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 217, 899, 2043, 3649, 5717?\n\"Answer: 231*x**2 - 11*x - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 - 1 - 8*r + 6*r - 12283*r**2.\nAnswer: -12283*r**2 - 2*r + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) be the second derivative of q**4\/12 - q. Let b(j) = -3*j**2. Determine m(b(n)).\nAnswer: 9*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1435.99999833 - -1436. What is h rounded to six dps?\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 20 - -343. Let i be 21\/(2*(-3)\/20). Let r = i + d. Is r composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) be the first derivative of y**3\/6 - 2*y - 3. Let x(o) be the first derivative of f(o). Let j(l) = -4*l**2. Determine j(x(b)).\nAnswer: -4*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 - 2 - 6)*(-1431 - 1282 - 107 + (0 - 3 + 4)*(1 + 0 - 2) + 0 - 1 + 3)*(2 + w - 2) to k*w + m and give k.\nAnswer: 14095","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j - 3*j = -j. Which is the nearest to 2? (a) 2 (b) -3 (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5)\/(-3)*7\/35.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out 88660.388 + 10756.\nAnswer: 99416.388","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 145 and 265?\nAnswer: 7685","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:55 PM and 2:07 AM?\nAnswer: 612","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -2753758141 to the nearest one hundred thousand.\nAnswer: -2753800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 49*h**5 + 15*h**4 - 17*h - 264 wrt h?\nAnswer: 980*h**3 + 180*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000004573007 rounded to 6 decimal places?\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.07 (b) 2 (c) 0.02 (d) 4\/113\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u = -3 + 13. Let f(m) = 4*m**2 + 2*m + 1. What is the smallest common multiple of 11 and f(u)?\nAnswer: 143","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + 2*(-2*sqrt(847) + 2))**2 + (sqrt(252) + -5 - sqrt(84)\/(sqrt(84)\/sqrt(7)))*3.\nAnswer: -337*sqrt(7) + 13553","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = p**3 + 6*p**2 - 2*p - 3. Let j = -4 - 2. What are the prime factors of x(j)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand t**3 - 3*t**3 - t**3 - 3*t**3 - 3*t**3 + 5*t**3 + (2*t**3 + t**2 - t**2)*(1 - 6 + 4) - 5*t**3 - 7*t**3 + 19*t**3 + 2*t.\nAnswer: t**3 + 2*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:32 PM and 3:02 AM?\nAnswer: 690","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = 6*x - 55. What is p(9)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find c, given that 4*c**4 - 40*c**3 - 48*c**2 + 40*c + 44 = 0.\nAnswer: -1, 1, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*f - 7294 + 20699 = 0. Does 38 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a**3\/((a**(-7\/3)*a)\/a)*((a*a*a**(-2\/3)*a)\/a)**(-4\/5) assuming a is positive.\nAnswer: a**(64\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 25032042 and 17?\nAnswer: 25032025","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -320, -620, -920, -1220, -1520, -1820?\nAnswer: -2120","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11538*q - 11752*q - 6634 = 0 for q.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p - 22 = 5*p. Let n = p + 59. Calculate the lowest common multiple of (n\/(-9))\/((-1)\/3) and 18.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-1 - -4) + -9 + 8\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 1414 (base 5) to base 11\nAnswer: 1a3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 4, u: 3, b: 5}. Give prob of sequence bbbb.\nAnswer: 1\/99","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h\/h**(-4))\/((h\/(h*h*h*(h*h\/h**(-4))\/h*h))\/h))\/(h**0\/(h\/(h**1*h)))*((h*h**(-4))\/h*h\/(h**4\/h))\/(h**1)**(2\/5) assuming h is positive.\nAnswer: h**(33\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 400109 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 9269401 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Add -25676 and -0.3.\nAnswer: -25676.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 1469, 5543, 12345, 21875, 34133, 49119?\n\"Answer: 1364*d**2 - 18*d + 123","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = s, 4*g - 7*g + 6 = -2*s. Solve g*j = 2*z - 14, -3*j - 15 - 14 = -5*z for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) be the third derivative of -q**5\/15 - 19*q**4\/24 - 3*q**3\/2 - 23*q**2. Let v be z(-4). What is the units digit of (-1 + 1\/v)*(-282)\/4?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i and 1 z when two letters picked without replacement from vqzjjji.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 8\/(16\/6)*21. What is the greatest common factor of c and 105?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) be the first derivative of -p**5\/60 - p**4\/18 + 2*p**3\/9 - 9*p**2 - 16. Let d(h) be the second derivative of b(h). Solve d(w) = 0 for w.\nAnswer: -2, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2320*i**3*u**2 + 12*i**3 - 2*i**2*u + i*u**2 - 323 wrt u.\nAnswer: -4640*i**3 + 2*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -639*j = -644*j + 25 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -10 - -18. Let p = 22 + -27. Let o = h + p. What is the units digit of o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -y**2 - 22*y + 1. What is the units digit of h(-15)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -5.5 - -5.7. Let x(f) = -f**2 - 5*f - 2. Let j be x(-2). Let z be 4\/10 + (-56)\/90. Which is the nearest to i? (a) -4 (b) j (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 49*f + 106 = 27*f + 17*b - 16*b, -3*b = 3*f - 111 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = p**3 + 108*p**2 + 479*p + 6548. What is r(-104)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p + 5*c = -0*p - 19, 5*c = -3*p - 9. Let y(g) = 18*g**2 - g - 1. What are the prime factors of y(p)?\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find f, given that 5*f**4 - 33525*f**3 + 301455*f**2 - 904095*f + 903960 = 0.\nAnswer: 3, 6696","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 12, 5, 3, -36, -4 in descending order.\nAnswer: 12, 5, 3, -2, -4, -36","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -2658101, -2658102, -2658103, -2658104, -2658105?\n\"Answer: -o - 2658100","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-5)\/1 + (-16 - -22). List the prime factors of -19 + 16 + s + 115.\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-30)\/(-9))\/(4\/6). Let j be 2 - (-2)\/(-2) - 1. Solve j = 4*k - s*k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0.1 or -2647?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 82 + -121. Let p = 56 + c. Let a(b) = 9*b**2 + 23*b + 56. Let s be a(-3). Calculate the greatest common factor of s and p.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -168 - -166. Suppose r + 8 = -3*r, -r = 3*t - 40. Let v be 2\/(-8) + t\/(-8). Is o > v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1 take away -24553225?\nAnswer: 24553225.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2619 and 1053.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d = -5*d - 15, -5*d - 77 = -2*g. List the prime factors of g.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.1 * 1191271.\nAnswer: 119127.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 97\/22539624 and 91\/18783020.\nAnswer: 112698120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in fourty-six fifths of a meter?\nAnswer: 920","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 2, b: 6, r: 2, o: 3, c: 6}. What is prob of picking 1 b, 1 r, and 2 n?\nAnswer: 1\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 181.0638*-0.09\nAnswer: -16.295742","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -d**5*v**3 + 10112*d**3*v**2 - 32*d*v**3 + 38*v**3 wrt d?\nAnswer: -20*d**3*v**3 + 60672*d*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1200090 and 435?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 27 minutes before 10:04 AM?\nAnswer: 9:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 679318?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8 divided by 2758.\nAnswer: -4\/1379","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -2c + -23?\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n\/n**(-1\/10))\/(n**6\/n) assuming n is positive.\nAnswer: n**(-39\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:00 PM and 10:15 PM?\nAnswer: 135","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.09 + -0.09. Which is smaller: o or -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.2 + -810.\nAnswer: -810.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve k - 3 = -3*u, -4*u - 52 = -4*k + 12 - 4 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = 1233*x**2 + 1 - x**3 - 2457*x**2 + 1225*x**2. Let n(b) = -6*b**3 + 10*b**2 + 7. Give -21*d(u) + 3*n(u).\nAnswer: 3*u**3 + 9*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 94\/219 - 7\/73. Let r be 5\/9 + (-2)\/6. What is the nearest to w in -4, r, -2\/5?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 1299, 2596, 3893?\n\"Answer: 1297*b + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 - 62\/3)\/(44\/(-1914)*29)?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1596537 a multiple of 27?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (0 - -2)\/(-2)*-6. Suppose 0 = 3*a - 3*j, -4*j + 22 = 5*a + 4. Suppose -a*l = -6, -b + 2*l + 35 = f*l. Calculate the remainder when b is divided by 12.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/3 in 2\/27, -6, -0.28, -4.5?\nAnswer: -0.28","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 l when two letters picked without replacement from mlmmmlmlmmmmllmm?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10367404 divided by -91.\nAnswer: 10367404\/91","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 869\/7 - 124. Put 0.076, 3\/2, p in descending order.\nAnswer: 3\/2, p, 0.076","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = c + 8. Let n be l(-6). Let j = n - -6. Solve 2 = -2*m, -3*u + j = u - 4*m for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d\/(((d\/(d**(-2\/5)*d))\/d)\/d)*d)\/d*d)**36 assuming d is positive.\nAnswer: d**(648\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = 3*l**2. Let x be (214\/6 + (-1)\/3)*3. Suppose -d = x - 107. What is j(d)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c + 6*v + 27 = 0, 4*c = v - 2 + 11. Solve 0 = 16*o - c - 63 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -g**2 + 7*g + 50. Give z(7).\nAnswer: 50","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -437, -872, -1307, -1742, -2177?\nAnswer: -2612","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 9*h**5 - 37931*h**4 - 737558*h wrt h.\nAnswer: 180*h**3 - 455172*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1.77 and 0.2804?\nAnswer: 0.496308","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 299 - 304. Let p = -83 + 81. Sort l, p, -3\/7 in decreasing order.\nAnswer: -3\/7, p, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((1*sqrt(12))\/sqrt(6) + sqrt(18)\/(sqrt(18)\/sqrt(2)) + 2 - (sqrt(128)*-1*-4 + (-5*2*sqrt(128) - sqrt(128)) + sqrt(128))) + -4)**2.\nAnswer: -200*sqrt(2) + 5004","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 131*g**3*q**3*y + 3*g**3*q**2*y**3 - 27*g**3*q**2*y + 7*g**2*q**2*y**2 - 3*g*q*y**3 + 1698*q**3*y**3 - 19*q**2*y wrt q.\nAnswer: 786*g**3*y + 10188*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 849239 is divided by 228.\nAnswer: 167","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -51\/20 and 71\/1464.\nAnswer: 7320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 3, 74, -1\/3, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2659, -5151, -7643, -10135?\nAnswer: -12627","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1607*s**2 - 6355*s wrt s.\nAnswer: 3214","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-11 - (-200)\/20)*(-6 + 1). Let i = 44967787\/37401 + -46880\/39. Let n = i - -3\/137. Which is the nearest to 2? (a) s (b) n (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine i so that 2*i**4 - 812*i**3 - 818*i**2 + 1628*i = 0.\nAnswer: -2, 0, 1, 407","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 722 and 29868?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 13357 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: Simplify (((y*y*y*y\/((y*(y*y**(-5)\/y)\/y)\/y)*y)\/y)**(7\/5)*y**(-16)\/((y*y**(-17\/3))\/y*y))**(-22\/7) assuming y is positive.\nAnswer: y**(-176\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.055*0.06.\nAnswer: -0.0033","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -t**3 - 30*t**2 - 30*t - 24. Let d be c(-29). Solve d*a + 2*y + 29 = 0, -4*y + 16 + 1 = -5*a for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*i = -3*i + 3*v + 3, -i + 3*v = -7 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 39 is divided by 4 + (-78)\/(-18) + (-2)\/6.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5*(-8)\/100)\/((-1631)\/13980).\nAnswer: -24\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) be the third derivative of 3*k**6\/5 - 27*k**5\/10 - 10*k**2 + 2. Find the third derivative of q(t) wrt t.\nAnswer: 432","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 6 - 1\/((-2)\/(-8)). Suppose 2*a + 5*x - 47 = -11, -4*a + n*x + 24 = 0. Solve -3*q + a = q for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2989295*c - 6 + 4*c**2 + 1494656*c + 1494639*c.\nAnswer: 4*c**2 - 6","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: Solve -v = t - 17 + 20, -5*v + 10 = 0 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 123543080.\nAnswer: 2, 5, 17, 97, 1873","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -154*w**2 + 1493*w**2 + 1019*w**2 - 592*w**2 + 840*w**2.\nAnswer: 2606*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let -16*k**3 + 652*k**2 + 184*k - 820 = 0. What is k?\nAnswer: -5\/4, 1, 41","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:00 AM and 10:03 AM?\nAnswer: 123","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f\/(f\/(f**7\/f))*f**(1\/5))\/((f**(2\/11)\/f)\/f**(5\/2))*(f**(1\/9)*f**(-7)*f*f*f*f)\/(f**6*f**5) assuming f is positive.\nAnswer: f**(-4327\/990)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -208, -238, -276, -322, -376, -438, -508?\n\"Answer: -4*l**2 - 18*l - 186","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 35\/(-140)*24\/4.\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 690, 5425, 18282, 43323, 84610, 146205, 232170, 346567?\n\"Answer: 677*s**3 - s**2 - s + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h and 1 i when two letters picked without replacement from hfoirto.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -5 - -35. Let s be 32\/(-45) - 12\/z. Is s < 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -y - 4. Let m = -35 - -35. Let l be r(m). Let k(p) = p**3 + 4*p**2 - p + 1. Is 5 a factor of k(l)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 10.9700489 - 10.97. What is v rounded to five dps?\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -40 - -202\/5. Suppose i - 3*w = -31, -3*w + 17 = -4*i - 116. Let f = 271\/8 + i. What is the closest to q in f, 0, -1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -160*i**3*k**3 + 4*i**3*k - 60*i**2*k**2 wrt k?\nAnswer: -960*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -o**3 - 9*o**2 + 5*o + 3. Let d(v) = 3*v**3 + 18*v**2 - 9*v - 5. Let r(a) = -2*d(a) - 5*i(a). Determine r(8).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 25505347?\nAnswer: 7, 3643621","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 72850247 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = s**3 - 8*s**2 - s - 1. Let w be m(8). Let j = 11 + w. Suppose 0 = x + 3*f - 12, j*x + f = 5*x - 36. Is x a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x = -m + 2*x + 70, -2*x = -6. What are the prime factors of m?\nAnswer: 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1241380600 to the nearest one million.\nAnswer: 1241000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 4643654263 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*w = 4*z + 14, 3*w + 2 = 4*z - 2*w for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -2*(-3)\/12 + (-108692)\/(-97448)\nAnswer: 21\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = 2*c + 4. Let a be h(3). Suppose -2 = l - 3*r + 3, -a = -2*r. Let s = 23 - l. What is the units digit of s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -23 + 25. Suppose 7*s = l*s + 100. Solve -3 = -5*v + h + 2, -s = -4*h for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*b**3 - 360*b**2 - 8640*b - 69120.\nAnswer: -5*(b + 24)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-9)\/((-4 + 0)*(-6)\/32). Let h be ((-20)\/a)\/(1\/(-9)). Let t be 2\/((-18)\/h)*(6 - 3). What is the greatest common factor of 45 and t?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1160 a multiple of 96?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 7 - 10. Let i be (-2 + 12\/9)*v. Solve 5*o + 8 = -i for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*z + 147 = 99 for z.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4776?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = 3*v - 29. Suppose 5*t = 3*z + 42, -3*t + 0*t + 3*z + 30 = 0. Suppose -264 = -t*q - 5*q. Is 11 a factor of u(q)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 33 - 10 - 2*w)*(-w + 0*w + 2*w).\nAnswer: -2*w**2 + 18*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4*t - 5*t + 3*t)*(32 - 68 + 38 + 62*t) to the form w + q*t + h*t**2 and give q.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 318 (base 14) to base 9\nAnswer: 747","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -2*a. Let x(o) be the first derivative of -3*o**2\/2 - 27. Let y be 2\/4 - 5\/(-2). Determine y*x(l) - 4*c(l).\nAnswer: -l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-142)\/8 + (-3)\/24*2. Let c = a + 113. What is the second derivative of 103*s - 225*s - 17*s**4 + c*s wrt s?\nAnswer: -204*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:27 AM and 6:47 PM?\nAnswer: 560","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 256 is divided by 22.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -27*p**2 + 2*p + 512 wrt p.\nAnswer: -54*p + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -54 minus 80.985?\nAnswer: -134.985","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p + 3*u = -24 + 15, 4*p = -3*u - 9. Let n = 0 + -2. Sort n, 3, 5, p in ascending order.\nAnswer: n, p, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -9269 (base 11) in base 8?\nAnswer: -30010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 410 and 170.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by -573718?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) be the third derivative of -a**5\/30 - a**4\/2 - 5*a**3\/3 - 2*a**2 - 2*a. Factor v(l).\nAnswer: -2*(l + 1)*(l + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 20661 is divided by 6885.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) be the second derivative of -h**6\/10 + 11*h**4\/4 + 9*h**3 + 12*h**2 + 18*h. Determine y so that n(y) = 0.\nAnswer: -2, -1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*s**3 + 3*s**2 + 36*s.\nAnswer: -3*s*(s - 4)*(s + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1423.84 + -1524. What is m rounded to 0 dps?\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -4803 - -4922. Calculate the remainder when 2020 is divided by k.\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 4.9 and 11037026.\nAnswer: 11037030.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -1, 2, 1.2, -1.561?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 4, z: 2, b: 3}. Give prob of picking 1 b and 1 z.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*w - 3 = -5*m + 2*m, 0 = 5*m + 20 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 25969?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -4*w**2 - w. Let y = 11 - 9. Suppose -d = -n, -2*n + 3 = 3*d - y. Give m(d).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 3, s: 3}. Give prob of picking 2 s.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*a - 149 + 41 = 0. Suppose v = 5*j - a, -4*j - 5*v = j. What is the closest to -0.1 in j, 4, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 206, -1, 1, 9, 3, 88 in ascending order.\nAnswer: -1, 1, 2, 3, 9, 88, 206","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2098442 by 1049221.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = 120*z - 3553. What is n(29)?\nAnswer: -73","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1204112 + -783579. Is q a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -3 + 2 - 3*x + 5*x - 2*x**2 - 3. Let d be y(3). Let g = -16 - d. Solve g*h + 5 = 2*v - 3*h, h - 1 = 0 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1767440 to the nearest one hundred thousand.\nAnswer: 1800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -92 = 2*c + c + 4*b, c + 26 = b. Suppose 7*t = 6*t - 5. Let f = t - c. What is the remainder when f is divided by 8?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 216, 16, -324, -810, -1448, -2244, -3204, -4334?\nAnswer: -5640","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*v - 5 - 45. Suppose 136 = -v*c + 14*c. Does 8 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13363?\nAnswer: 7, 23, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*w - t - 22, 2*w - t + 13 = -w for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 111\/100 and (-2 + (-1603)\/70)\/(29 + 1).\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*l - 52 - 57 + 111 + 3*l.\nAnswer: l + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express 75*h - 66*h - 319*h in the form s + r*h and give r.\nAnswer: -310","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.009*0.33.\nAnswer: -0.00297","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = 9*j - 1. Suppose 3*w + 2*b = 4*w + 3, 2*b + 2 = 0. Suppose -p + 6 + 2 = 0. Let m(x) = 14*x - 2. Determine p*a(k) + w*m(k).\nAnswer: 2*k + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 134*p - 854*p - 1256*p + 357*p to the form d + l*p and give l.\nAnswer: -1619","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 50864\/(-13860) + 21\/15 + (-96)\/(-56).\nAnswer: -5\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13693572 to the power of 1\/4, to the nearest integer?\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -a**3 - 9*a**2 + 11*a + 10. Let j be t(-10). What are the prime factors of (-4)\/(-1) + (3 - j)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 38171 a multiple of 41?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 69*o + 473*o**2 - 474*o**2 - o**3 + 46*o - 38*o + 55*o = 0 for o.\nAnswer: -12, 0, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mqhthhhqtqt. What is prob of sequence tmhh?\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(288)\/(sqrt(18)\/sqrt(3)))\/sqrt(4) - 4*-6*((sqrt(12) + 0 - sqrt(3)) + sqrt(3)))**2.\nAnswer: 7500","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -10 - 9 - x**2 + 23 to k + z*x**2 + o*x and give z.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 78643 times 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u + 5 = -0*b - 2*b, -5*b - 3*u - 18 = 0. Let c(m) = 2*m + 6. Calculate c(b).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 144\/(-270)*(-222)\/1480?\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n and 1 f when two letters picked without replacement from {s: 1, f: 1, e: 2, n: 2}.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 143023693?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4\/5? (a) 407 (b) 10 (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -570*y + y**3 + 1744*y + 185 - 24*y**2 - 570*y - 568*y. Calculate m(22).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -c**3 - 5*c**3 + 5*c**3 + (-4*c**3 + c**3 + c**3)*(-8 + 4 + 17) - 14609 - 96*c**3 + 14609.\nAnswer: -123*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 76*a**2 - 45*a**3 - 42*a**2 - 34*a**2.\nAnswer: -45*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -39*y + 11*y + 425404 = 0. Is y a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2916 and 1948860?\nAnswer: 5846580","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 235538741 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -4 (b) 9 (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -12908788, -12908789, -12908790, -12908791, -12908792?\n\"Answer: -c - 12908787","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 41\/2 and -89\/94.\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = 62*i**2 - 1094*i + 1644. Calculate s(16).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (18 + -20 + 5)\/(9\/(-8)). Which is the closest to 18? (a) 0 (b) x (c) 2\/15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -6 + 7. Let r(o) = o**3 + 9*o**2 - o - 6. What is the remainder when r(-9) is divided by z?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3658270?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -i - 1. Let p(r) = -6*r - 2. Let a be 1\/(-2 + (-1 - -4)). Let u(o) = a*k(o) + p(o). What is the tens digit of u(-2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -31\/265 and -29\/55.\nAnswer: 2915","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6 + 8 - 16)*(s**2 + 181*s - 286*s + 161*s).\nAnswer: -14*s**2 - 784*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/13 in 12\/5, 4\/31, 5, 0.2?\nAnswer: 4\/31","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r*r**(-2\/9))**(-25)*(r**0\/r*r)**38*(r*r**(-2)*r**(-11))**(2\/73) assuming r is positive.\nAnswer: r**(-12991\/657)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*r**4 + 2*r + 3*r**2 - 2*r**2 - 12*r**4 + 14*r**4 + 22*r**3 to the form l*r**2 + f + n*r**3 + p*r + g*r**4 and give l.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -0.2674 times -3.1\nAnswer: 0.82894","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v = -v. Let r be (-12)\/2 + (-2 - (-6 - 3)). Let i be 16\/3 + (-1)\/3. Which is the closest to r? (a) i (b) v (c) 2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = 1458*i**2 + 1. Let p(b) = -102*b**2. What is l(p(f))?\nAnswer: 15169032*f**4 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) be the first derivative of -s**2\/2 - 11*s - 4. Let c be l(-5). Let b be 9\/c - (-57)\/18. Is b smaller than 3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -3*(-12)\/9*-2. Let b be (-198)\/(-12) - p - (-2)\/(-4). Suppose 103*f = 99*f + b. What is the remainder when 18 is divided by f?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 53886256 to the power of 1\/2, to the nearest integer?\nAnswer: 7341","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5 times -0.1449528?\nAnswer: -0.0724764","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from orfogr. What is prob of sequence rg?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6277 is divided by 394?\nAnswer: 367","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.58758324 rounded to one dp?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is (-6335)\/(-15) + -2*(-5)\/15 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 26 + -21. Let b(j) = -7*j + 9. Let h(v) = -v**3 + 8*v**2 - 13*v + 3. Let q be h(6). Let s be b(q). Solve -s + t = -5*k for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 108937 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: Solve 2*p**4 + 5*p**3\/2 - 47*p**2\/2 - 6*p = 0.\nAnswer: -4, -1\/4, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 360250833 to the nearest integer?\nAnswer: 18980","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3428?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 66704 (b) -0.5 (c) 0.6 (d) -4 (e) -12\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 128 - 106 - (-4 - -37)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -32, -4, 0, 4 in ascending order.\nAnswer: -32, -4, 0, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 7, b: 4, x: 5}. What is prob of picking 1 b and 2 t?\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_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 is the remainder when 13176 is divided by 2128?\nAnswer: 408","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11187 (base 10) to base 5.\nAnswer: -324222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -n**3 + 4*n**2 - 2*n + 2. Let a be m(3). Let d(g) = g**3 - 3*g**2 + 5*g - 9. List the prime factors of d(a).\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6 + 7 - 73*t - 1 - 23*t.\nAnswer: -96*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert -258 (base 11) to base 6.\nAnswer: -1225","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000000287602 rounded to 7 decimal places?\nAnswer: -0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3*f**2 + 4 + 21*f**5 + 322*f**3 - 322*f**3 wrt f?\nAnswer: 1260*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = b**3 - 24*b**2 - 16*b + 316. List the prime factors of p(29).\nAnswer: 4057","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/((-4)\/(-6) + 0\/27).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -27 - -23.4. Let t = o - -3.538. Let u = 0.061879 + t. Round u to five dps.\nAnswer: -0.00012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find b such that -2*b**3\/3 + 28688*b**2 + 86066*b\/3 = 0.\nAnswer: -1, 0, 43033","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-1104)\/4)\/(370\/4) - -3. Let h = u - -839\/740. What is the common denominator of h and 81\/166?\nAnswer: 1660","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*s = -19*s + 24. Suppose -3*m + s + 1 = 0. Solve 0 = m*x - 6*x - 9 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 692 - -3093. Is y 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? (a) -3\/91 (b) -3 (c) 0.11 (d) -9\/2 (e) 6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1 - -7. Let w(g) = -g**2 + 6*g + 10. Let r be w(6). Solve -q + s*q = -r for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-61)\/61)\/(((-3)\/(-18))\/1)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 2 + -1 + 33\/(-21). What is the nearest to -2 in -1\/3, p, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17633377 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 45 - 41. Let s = 7 + 2. Solve u = b*u + s for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6 - (15 + (4 - 4)) - (11 + -18 + 1)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = z**2 + 2*z - 2. Let b be d(-4). Let v(r) = -r - 6. Let l(w) = -5. Determine b*l(x) - 5*v(x).\nAnswer: 5*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4500, 4501, 4502?\nAnswer: 4503","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -14*n + 2. Let a be g(1). Let k be ((-42)\/a)\/(1\/10). Let u = 40 - k. Solve 4*b = 4*y + 8, -y - 10 = u*b - 2 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2504 a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1085 and 201035.\nAnswer: 155","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(480) - sqrt(480)*-2)*-2)\/(2*1*sqrt(10)).\nAnswer: -12*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1212 and 24?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 49746062 is divided by 329444.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 9112000 rounded to the nearest one million?\nAnswer: 9000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.464 + 0.991181.\nAnswer: 0.527181","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10 is divided by 7?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 27 divided by -11\nAnswer: -27\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 117 minutes after 8:39 PM?\nAnswer: 10:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -c**2 - 14*c - 9. Let t be (16 - 3)*1\/(-1). Let w be z(t). Solve 0 = w*o + 2*s - 6, -2*o - 8 = -4*o - 2*s for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -6*m - 81. Let j be v(-14). Suppose -7*b + 10 = -2*b. Suppose 2*t = x - j*t - 20, 0 = -b*t + 2. List the prime factors of x.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -25 - -5. Let x be (32\/40)\/((-2)\/u). What is the greatest common factor of 1 and x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -22*44\/(-8)*-1. Let k = 265 + f. What are the prime factors of k?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -21*f + 226. Let s be l(-22). Let a = s - 349. Sort 5, a, -2 in ascending order.\nAnswer: -2, 5, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n = 3*m + m + 8, -4*n - 2*m = -10. Let l(g) = -2*g + 2*g - n + 3*g - 2*g. Determine l(-3).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 24\/42 + (-119)\/294. Which is the fourth biggest value? (a) n (b) 4 (c) -0.2 (d) 1\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a century in years?\nAnswer: 20","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.098 + 0.902. Let k be 6\/((-4)\/2 + -3). Let u = 1.4 - -0.6. Which is the second biggest value? (a) p (b) k (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-138*o - 14*o**2 + 138*o)*(-3*o**2 + o**2 + 3*o**2) + (-1 + 3*o + 1)*(0*o**3 - 3*o**3 + 4*o**3).\nAnswer: -11*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 3, q: 1, p: 1, h: 3, k: 6}. What is prob of sequence ahqh?\nAnswer: 3\/4004","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a + 5*m + 612 = 0, -m - 426 + 18 = -2*a. Suppose -n = 3*n - a. Is n composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 divided by -11596\nAnswer: -1\/11596","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -l - 0. Let c be -1 + 78\/(l\/(-1)). Let n = -32 - c. Put 1, -2, n in increasing order.\nAnswer: -2, 1, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 44 or 50504\/1129?\nAnswer: 50504\/1129","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x and 1 o when two letters picked without replacement from xzoxx.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 125673897 to the power of 1\/3, to the nearest integer?\nAnswer: 501","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = 14*p**3 - 5*p**2 + 4*p + 1. Let f be j(3). Let r = f - -169. What are the prime factors of r?\nAnswer: 5, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 60 divided by -3959?\nAnswer: -60\/3959","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 383*c**2 - 2*c - 2 - 293*c**2 + 2*c to q + d*c + h*c**2 and give h.\nAnswer: 90","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(5) - sqrt(15)\/(-4*sqrt(3))) + (sqrt(150)\/sqrt(3))\/sqrt(10).\nAnswer: 9*sqrt(5)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 5404\/27387 + -2\/1611. What is the common denominator of -65\/3639 and s?\nAnswer: 61863","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s\/(s*s\/(s\/s**(-12)*s)))**(2\/77) assuming s is positive.\nAnswer: s**(26\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*l - 280 = -54*l for l.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 55\/1323 and 61\/591675.\nAnswer: 5325075","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -7 + 9. Suppose 0 = -2*k + 4*l - v*l + 324, 3*k = 2*l + 481. Is k a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -15 + 7. Let c be 3 + (8\/24 - a\/(-6)). Calculate the common denominator of 56\/11 and c\/1 + (-992)\/208.\nAnswer: 143","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*o - 82*z = -86*z + 16, -4*o - 5*z + 20 = 0 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -13 - -8. Let v = -232 + 233. Which is the closest to 0.1? (a) -10 (b) v (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 372 and 8?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1111 + 101111110000?\nAnswer: 101111111111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v = v + 18. Let s = 9 + v. Let b(x) = 3*x - 2*x + 2*x**2 - s*x. What is b(2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -4*c - 21. Let f(o) = 3*o + 22. Calculate 5*f(r) + 4*g(r).\nAnswer: -r + 26","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -15*z**2 + 11*z - 9. Let y(d) = 7*d**2 - 5*d + 4. Let i(v) = -6*x(v) - 13*y(v). Suppose i(c) = 0. Calculate c.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 709783745*h**6 + 1020509798*h**2 wrt h?\nAnswer: 85174049400*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*p + 17*p**2 + 4*p + 10*p**2 - 26*p**2.\nAnswer: p**2 + 12*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -r**2 + 7*r + 188. Calculate w(-27).\nAnswer: -730","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 8492 to the power of 1\/2, to the nearest integer?\nAnswer: 92","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 895 - 3. List the prime factors of b.\nAnswer: 2, 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2629\/7 + -375. Let m = -7 + 47\/7. What is the second biggest value in h, m, 3\/2?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*s - 243 + 261 = 0. Sort -6, 6, s in descending order.\nAnswer: 6, s, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6\/13, -0.1, 0 in ascending order.\nAnswer: -0.1, 0, 6\/13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 2.870645ms?\nAnswer: 2870.645","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -197 + 248. Suppose -2*u = 15*u - y. Solve 2*m - 5 = k + 3*m, u*k - 5 = m for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 24 - (-2)\/((-9944)\/275 - -36)?\nAnswer: 23\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -v**3 + 12*v**2 + 17*v - 16. Let w be f(13). Let h be (-240)\/w + (-4)\/(-6). Let a = 18 - h. Does 12 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = 2*g - 11. Let d be c(7). Suppose -j - d*u + 9 = 0, -j + 4*j = 5*u + 27. Calculate the highest common divisor of j and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13 - (-34 - -91) - -78?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 34242931 and 141.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000059977 rounded to 7 decimal places?\nAnswer: 0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 128*p*s**2 - 730*p + 10*s**2 - 4202 with respect to p.\nAnswer: 128*s**2 - 730","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = 483*j - 2. Is z(1) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3227*h**4 - 2*h**3 + 41*h**3 - h - 3225*h**4)*(-1 - 3 + 5).\nAnswer: 2*h**4 + 39*h**3 - h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 2290821039 a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-81)\/(-12))\/9)\/((-39)\/(-8))?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mr when two letters picked without replacement from sdsmrmrrrr?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: Let q = 12122 - 13150.7. Let p = -1073 - q. Round p to the nearest 10.\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 6.09679 * 375.\nAnswer: 2286.29625","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -z**3 - 15*z**2 - 13*z + 13. Suppose 3*d = 4*f - 50, 6*d + 3*f = 11*d + 76. Give w(d).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.018 (b) 2\/11 (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 651 divided by -9?\nAnswer: -217\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-20)\/(-6)*1)\/(4\/(-6)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -70829\/4 - -111697439\/6308. Find the common denominator of k and -87\/8.\nAnswer: 12616","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l + 5 = 5*n + 4*l, -4*n + 2*l - 2 = 0. Suppose 7 = x + n. Solve -4*v = -w + 11, x*w = v - 0*v - 21 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -16 + 26. Let p = d + -13. Let o = 6 + p. Is o != -2\/11?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -19.5 + 24.5. Which is the nearest to -0.075? (a) -5 (b) 0.2 (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) be the first derivative of 1759*y**5\/5 - 1166*y**3\/3 + 2066. What is the third derivative of x(s) wrt s?\nAnswer: 42216*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (18\/(-15))\/(-3)*(-245)\/(-882).\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3.4 + -3.2. Let u = -0.2431 - 0.1569. Sort 10, u, -3\/7, x in descending order.\nAnswer: 10, x, u, -3\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in f + 10*f + 4*f.\nAnswer: 15*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -49721 + 101928 = 17*g. What is the units digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w + 3*o + 70 = 0, -4*w + 86 = 46*o - 41*o. Solve w*j = -29*j + 336 for j.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 31, 32, 33?\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o\/o**(3\/5))\/o**4)**(1\/37) assuming o is positive.\nAnswer: o**(-18\/185)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.3 in 0.3, -6, -0.0114?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: ((1\/1)\/1)\/(12\/24)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -771.00000533 - -771. Round a to six dps.\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 125 and 1000.\nAnswer: 125","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 22, -1, -14 in descending order.\nAnswer: 22, -1, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand 17 + 25 + 276*l - 42 + 2*l + l - l - 1 + 1 + 2*l + (-3 + 3 + 1)*(-l + 4 - 4) + 0*l + 3*l - 2*l - 4 + 4 + l.\nAnswer: 281*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 21 + -11. Let t(h) = -2. Let f(o) = -o + 23. Let j(g) = -2*f(g) - 6*t(g). Calculate the lowest common multiple of j(20) and b.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 54 - 4c74?\nAnswer: -4c20","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v = -v - 21. Suppose 0 = 3*y - 4 + 10. Let h = y + v. Solve -2*g = -4*z, z + 4*z = -h for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 329 is divided by 88?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 405116?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 6 + -2. Let r = 2\/3 - 1. Which is the third biggest value? (a) -2 (b) r (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 + 0 + 1)*(-15 - 7*c**2 + 15)*(-34668*c + 34668*c + 158*c**2) to the form z*c + d*c**3 + k*c**2 + v + l*c**4 and give l.\nAnswer: 1106","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*j**3 + 40276*j**2 - 80556*j**2 + 40280*j**2.\nAnswer: 3*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = x - 3. Let c be u(6). Suppose -f - 5*n - c = -5*f, -5*f - 5*n = 30. Let l be 1 + f*(-2)\/(-2). Which is bigger: l or -3?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 36 divide 15040093?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 32675.\nAnswer: 5, 1307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2492720 is divided by 741.\nAnswer: 737","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fnxx when four letters picked without replacement from {f: 4, n: 1, x: 11, v: 1}?\nAnswer: 11\/1428","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 10 (b) 8\/5 (c) -4 (d) -389 (e) -0.08 (f) -1\/8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dgstssssgsdttddgg. What is prob of sequence tt?\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a - 46 = 3*u, 4*u - 2*a + 48 = -0*a. Let z(x) = -x**3 - 11*x**2 - 12*x - 2. Let c be z(u). Let j be ((-15)\/c)\/((-4)\/24). Solve 0*g + j = -g for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p - 3*l - 349 = 2*l, 4*p - 329 = l. Is p a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = v - 3. Let f(l) = -l - 9. Let z(q) = -2. Let y(r) = 2*f(r) - 9*z(r). What is c(y(k))?\nAnswer: -2*k - 3","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: Solve -4*g + 191 = -27*a, -2*a + 20 = g + 16 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/(-21))\/(10\/(-75)*-5)?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -343390 by 171695.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) be the second derivative of -g**4\/12 + g**3 + 17*g**2\/2 + 8409*g. Calculate n(5).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*u + 64 = 9*u for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = n**3 - 3*n + 4. Let k(b) = b - 1. Suppose -2*m = -s - 2, 0*m - m - s + 7 = 0. Determine m*k(z) + p(z).\nAnswer: z**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8b072 (base 12) to base 4.\nAnswer: 231022112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1958483, 1958482, 1958479, 1958474?\nAnswer: 1958467","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 1\/6 of a hour?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -169584 <= 190?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -10110000 (base 2) in base 16?\nAnswer: -b0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -11426*q + 9849 - 16560*q - 9849 as g*q + b and give g.\nAnswer: -27986","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 q when two letters picked without replacement from {q: 3, x: 9}.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -13\/45 and -145\/36.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j + 126 - 42 = p, -4*j = 3*p - 208. Calculate the highest common factor of 1952 and p.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 25 - -192?\nAnswer: 1b7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + 12 = -3*t - 4*o, -4*o - 12 = -5*t. Solve 4*s + 2*g + 28 = t, -10 = 5*s + g + 19 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*sqrt(208))**2*-2.\nAnswer: -3744","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 0 + 4 - (-24)\/(-6). Suppose 4*x = -3*h - 0*h + 13345, q = -5*x - 4*h + 16681. Is x composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = k**3 + 3*k**2 - k + 2. Let g be v(-3). Solve -g + 2 = m for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -179, -184, -189, -194?\n\"Answer: -5*u - 174","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 0 + (-8)\/8 + 293?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = 9*a**3 - 101*a**2 + 24*a - 155. Calculate s(11).\nAnswer: -133","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t - 3*t = m - 3199, m = -4*t + 3202. Does 39 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1037*s**2 - 1035*s**2 + 2074*s**2.\nAnswer: 2*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bmq when three letters picked without replacement from bgmmccbqmcmcqccmmm.\nAnswer: 7\/1224","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o**3\/13 + 6429606*o**2\/13 + 12859206*o\/13 + 6429602\/13 = 0. What is o?\nAnswer: -3214801, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*m - 12*m = 5*r + 2, -3 = -3*r - m. Suppose r*v - 10 = v. Solve -10*d + 5*d + v = 0 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 42, 137, 356, 753, 1382, 2297, 3552, 5201?\nAnswer: 7298","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 - (-5 - (-3 - -3) - -6).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + -2 + sqrt(8).\nAnswer: -5 + 2*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 1562?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -5, 5, -2, -28.6 in increasing order.\nAnswer: -28.6, -5, -2, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1440)\/1890)\/(152\/(-12768))?\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 74 a factor of 91056?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*w + 5496 - 5341 = -5*m, 5*w + 159 = -3*m for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*r = 36 + 4. Suppose 3*i - 11 = j + 5, -5*j + 5 = 2*i. Let b = i - 10. Put b, r, 5, -4 in descending order.\nAnswer: 5, r, -4, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*o**3\/5 + 136624*o**2 - 12297136*o\/5 + 10931072 = 0. What is o?\nAnswer: -170798, 8, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3753345?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z*z**(-2))**(-10\/13)*z**7\/(z\/(z\/((z*(((z*z\/(z*z**(1\/10))*z)\/z)\/z)\/z)\/z))) assuming z is positive.\nAnswer: z**(1153\/130)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6 + 10 + 1)*(-13 - 18 + 14)*(4*m**3 - 4*m**3 - 2*m**3).\nAnswer: 170*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert -110230003 (base 4) to base 16.\nAnswer: -14b03","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f - 383 = 559. Let o = f - 283. Suppose 0 = -7*l + 11*l - o. What are the prime factors of l?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -59.4987 - -8072962\nAnswer: 8072902.5013","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 108 is divided by 47?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (5 - -1)\/((35 - -105)\/35). Factor -y*d**2 + 15\/2*d + 0.\nAnswer: -3*d*(d - 5)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 83882005 divided by 5?\nAnswer: 16776401","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(700) + -1*sqrt(700)*-6 + 4)**2.\nAnswer: 560*sqrt(7) + 34316","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = -5*l, -5*l = -3*n - l + 31. Suppose 27 = 3*g + 3*r - 5*r, 2*g - n*r - 18 = 0. Is g composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -19629 (base 11) to base 16.\nAnswer: -6af1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 37\/5 of a litre in millilitres?\nAnswer: 7400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 48 and 18.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 167505 and 793195?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 54*t - 102582 = -109*t + 292856. Is t prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -22367922*t - 1 + 22366958*t + 1.\nAnswer: -964*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*a**2 - 4*a**2 - a**2 - 18 - 3*a**2 + 18 + (3 - 3 - a)*(4*a - a - 2*a) + (-8 + 12*a + 8)*(4*a - 7*a - 7*a) to g*a + d*a**2 + u and give d.\nAnswer: -126","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (245\/(-42))\/7 - -1. Let b = 77\/2 + -41. What is the fourth smallest value in 0.3, w, b, -1?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 55608 (base 10) to base 7.\nAnswer: 321060","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) be the first derivative of 2254*b**2 + 1014*b + 450. What is the derivative of a(o) wrt o?\nAnswer: 4508","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -45160133, -45160131, -45160129?\n\"Answer: 2*v - 45160135","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13522 is divided by 134.\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-2)\/(-6) + (-37)\/3. Let r = -2 - -1. Let h be -7*((f - r) + 0). What is the greatest common factor of h and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -1 - -2549?\nAnswer: 2548","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 112\/168*-3*9.\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -b**5 - 10*b + 4*b + 12*b**4 + 3*b**3 - 9*b**4 - 7*b**2.\nAnswer: -b*(b - 3)*(b - 2)*(b + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*v - 7*v = 12 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence aau when three letters picked without replacement from aaaaaaaaaaauaaaaauua.\nAnswer: 34\/285","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = f - 3. Let o(r) = -17*r + 14. Calculate -5*h(c) - o(c).\nAnswer: 12*c + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 54496390 and 114442419.\nAnswer: 1144424190","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v = -4*g + 332, -168 = -6*v + 5*v - g. Is v a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-5)\/(-3) - (-1)\/3. Let z = 1130 + -1128. What is the third derivative of -30*b**3 + 5*b**d - 8*b**3 + b**z + 7*b**3 wrt b?\nAnswer: -186","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (6\/(-10))\/(13\/(-195)). Let a(l) = l + 5. Let v be a(5). Let o = t - v. Put -2, -4, o in descending order.\nAnswer: o, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 301 (base 8) in base 16?\nAnswer: c1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1100010010110 - -1000100010111010?\nAnswer: 1010000101010000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 229 + -149. Does 8 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = 9*y - 13. Let l = 5 + 5. Let k be a(l). Calculate the greatest common factor of k and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -h**3 + 4*h**2 + h + 1. Let c(p) = -5670*p**3 + 27720*p**2 + 6930*p + 6930. Determine 2*c(m) - 13860*f(m).\nAnswer: 2520*m**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -11 + 60\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 15 and 22160.\nAnswer: 66480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((6*22\/99)\/(14\/(-3)))\/((-12667)\/(-3346)).\nAnswer: -4\/53","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -100021 + 122011?\nAnswer: 21220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -76 + 127. Suppose 9 = -6*q + v. Solve q*o - 3*o**3 + o - 4*o**4 + o**3 + 4*o**2 - 6*o**3 = 0 for o.\nAnswer: -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine h, given that 7*h**3\/6 - 10931323*h**2\/3 + 3123235*h\/6 = 0.\nAnswer: 0, 1\/7, 3123235","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*m - 11*x + 2*x - 1 = -22, 0 = -16*x + 32*x - 16 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 866 - 13*z**2 + 941 - 1809.\nAnswer: -13*z**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 29207 divided by -299.\nAnswer: -29207\/299","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -56 - (56 - (17 - 1) - 32).\nAnswer: -64","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 65358 is divided by 4300?\nAnswer: 858","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 63 a factor of 1260?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 3406551 and -0.7?\nAnswer: -2384585.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*y**3 + 2*y**4 + 0*y**3)*(2*y - 3*y - y) + (-2*y**3 - y**3 + y**3)*(3*y**2 + 0*y**2 - y**2) + 3 - 3*y**5 - 3.\nAnswer: -11*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z - 36 = 339. Let k = -65 - z. Suppose 1650 = k*i - 220. Is i a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**3\/y**(-1\/5))\/((y\/(y\/(y\/(y\/y**3))))\/y)**(1\/59) assuming y is positive.\nAnswer: y**(934\/295)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s + 4*z + 12 = 7*z, 2*s - 4*z = -18. Put s, -55, 5, 2\/11, -3\/5 in descending order.\nAnswer: 5, 2\/11, -3\/5, s, -55","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 848\/9*k + 2\/9*k**2 + 89888\/9.\nAnswer: 2*(k + 212)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3.089 - -0.089. Sort 14, q, 0, -2\/9.\nAnswer: q, -2\/9, 0, 14","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*d**2 - 252574*d - 56727900.\nAnswer: -2*(d + 225)*(d + 126062)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*h + 1 - 1)*(-h + 3*h**2 + h).\nAnswer: -18*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -2*l**2. Let s be 0\/(-3*4\/(-12)). Let t(i) be the second derivative of s*i**2 - 1\/6*i**4 + 0 + 2*i + 0*i**3. Determine h(t(v)).\nAnswer: -8*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c - 192 = 163. Let t = 83 + c. Is 28*(6915\/t)\/5 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00039174 rounded to six dps?\nAnswer: -0.000392","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*i + 13 = m, 7*i + 5*m - 17 = 4*i for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*z - 3*z + 2*z)*(-1 - z + 1)*(-46*z**2 - 22*z**3 + 46*z**2).\nAnswer: 66*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = 13*m**2 - 9*m + 15. Let d(f) = -4*f**2 + 3*f - 5. Let t(r) = -7*d(r) - 2*j(r). Does 11 divide t(4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 + 2 - ((0 - -15) + 0)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 0 + -2 + 3 - -1. Suppose -f*s + 2494 = 4*h, -h + 628 = s + 4*s. Let x = 313 - h. Round x to the nearest one hundred.\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 66057719?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -24\/11, 16, 1?\nAnswer: 16","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -5*t**3 - 2*t**2 - 2*t - 1. Let y be r(-1). Suppose p + y*p = 0. Let u be (1 - -12)*1 + p. Calculate the highest common factor of u and 26.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + -6*1*(1 + (0 + 0 + sqrt(68) - sqrt(68)))**2*4.\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 39 + -59. Let f be c\/(-70) + (-24)\/(-14). Suppose f*k + 132 = 5*k. Is 10 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -d**4 - 11*d**3 - 4*d**2 + 276*d + 720.\nAnswer: -(d - 5)*(d + 4)*(d + 6)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.002279 to three decimal places.\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = 5*j**3 - j**2 - 4*j - 2. Let n be q(-3). Let k = -92 - n. Is k a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) be the first derivative of -j**4\/4 - 4*j**3\/3 - j**2\/2 - 3*j + 1. Let n be s(-4). What is the smallest value in -0.2, n, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = w**3 + 7*w**2 - 6*w + 37. Is r(11) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -52 and 317522.\nAnswer: 317470","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-3)*l**0\/l)**(-6) assuming l is positive.\nAnswer: l**24","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((r**1*r*r)\/r*r)**21\/(r*r**(1\/6)*r*((r*r**(5\/4))\/r)\/r*r))\/((r**(2\/5))**(-32))**(-1\/18) assuming r is positive.\nAnswer: r**(10597\/180)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 122, 102, 78, 56, 42, 42, 62?\n\"Answer: a**3 - 8*a**2 - 3*a + 132","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s - 5*z - 152063 = 0, -7*z + 105231 + 46844 = 4*s. Is s prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b = -6 - 27. Suppose 239 = 2*t + b. Calculate the highest common divisor of 38 and t.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -25 times -1751\nAnswer: 43775","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = 3 + 7*l + 30*l**2 - 17*l**2 - 12*l**2. Let k(q) = -q - 1. What is 5*k(y) + v(y)?\nAnswer: y**2 + 2*y - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*j + j + 0*j)*(188 - 26*j - 188) as l + p*j**2 + c*j and give p.\nAnswer: 52","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:17 PM and 1:59 PM?\nAnswer: 42","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 38*z - 42*z + w + 19 = 0, -4*z + 2*w + 14 = 0 for z.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1394387 rounded to three decimal places?\nAnswer: 0.139","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 2268 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -106.7? (a) -132 (b) -15 (c) 3\/8 (d) 7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x - 3*x = 16, -4*a + 540 = -2*x. Suppose q - 51 = 3*c, 4*c = q + 2*q - a. Let o = q + 14. Is o a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 80 times 34610\nAnswer: 2768800","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2 - (-4 + 12)) + 0 - -3.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 52287.07 meters?\nAnswer: 52287070000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 937, -2961, -6861, -10763, -14667, -18573?\nAnswer: -22481","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -2017085 divided by 8\nAnswer: -2017085\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 134 a factor of 852822124?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let 120*s**4 + 579*s**3 + 150*s**2 - 912*s + 288 = 0. What is s?\nAnswer: -4, -2, 3\/8, 4\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2521 - -4985. What is the units digit of t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 208 and 520.\nAnswer: 1040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 468 minutes before 1:45 PM?\nAnswer: 5:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = 25*k**3 + 7*k**2 - 11*k + 3. Determine p(1).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4145 (base 7) to base 9.\nAnswer: 1885","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = i**3 + i**2 + 22*i + 5. Calculate u(0).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = l - 4. Let y be t(-2). Let m(x) = -x**2 - 8*x + 3. Suppose -2*w - 144 = -5*n, -2*w + w = 2. Calculate the remainder when n is divided by m(y).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -7762 - -7798. Let z(b) = 30*b. Let n be z(2). What is the greatest common factor of n and v?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -168*t. Let c(j) = 118492*j. Determine r(c(h)).\nAnswer: -19906656*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) be the first derivative of -3\/2*h**2 + 0*h + 15. Let m(u) = -14*u**2 + 23*u**2 + 7*u - 8*u**2. Calculate 5*k(q) + 2*m(q).\nAnswer: 2*q**2 - q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -136, -554, -1260, -2260, -3560, -5166?\nAnswer: -7084","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2053 + 204. List the prime factors of n.\nAnswer: 37, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -14434331 + 41?\nAnswer: -14434260","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/149 in -3\/5, -6\/299, 3, -5?\nAnswer: -6\/299","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = c + 5*y - 20, -4*y + 100 = 5*c - 0*y. Calculate the least common multiple of 18 and c.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n = 4*c + 1189, -7*n + 9*n + c - 2378 = 0. Does 30 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2 + -2. Suppose 33 = -f*w + 3*w. Is w prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3805, -3804, -3803, -3802, -3801, -3800?\nAnswer: -3799","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1\/(-11))\/(-8*19\/(-152)).\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 205604287.\nAnswer: 7, 29, 1012829","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -t - 3988007 = -3988015 for t.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -8841 or -8707?\nAnswer: -8707","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p*p**(-1\/3)\/p*p*p)**36)**41\/((p**(-2)*p)\/((p\/(p\/(p\/(p\/(p*(p**(-2\/17)*p)\/p*p)))*p)*p)\/p))**(3\/16) assuming p is positive.\nAnswer: p**(41826\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -7 in -4\/7, 4, -17, 10?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -24263, -48729, -73195, -97661, -122127?\n\"Answer: -24466*s + 203","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 8921439827?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*q - 5*y = 1570 - 1559, -4*q + 4*y = -20 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -50*v + 43*v - 21350000. Round v to the nearest one million.\nAnswer: -3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*k - 4*k + 56. Suppose 0 = a - 16 + k. Suppose 4*v + 20400000 = -a*v. Round v to the nearest one million.\nAnswer: -3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-13)\/(-52) - 38\/(-8). Factor -4*y**3 - 2\/3*y**a - 8\/3*y**4 - 2\/3*y - 8\/3*y**2 + 0.\nAnswer: -2*y*(y + 1)**4\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (x - x - x**2)*(2 + 38*x - 596*x + 0) as p*x + v*x**2 + l + z*x**3 and give z.\nAnswer: 558","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Determine q, given that 0*q + 0 - 2\/13*q**3 + 0*q**2 + 4\/13*q**4 - 2\/13*q**5 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4 - 3) + 5 + -5.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -880.5457 rounded to the nearest one thousand?\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4\/42*(1470\/189 - 7)?\nAnswer: 2\/27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = 2*w**2 - 3*w + 4. Give k(-3).\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.117 + -0.183. What is the third smallest value in 6, n, 0, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((10\/(-25))\/(32\/120))\/(-98*12\/(-16))?\nAnswer: -1\/49","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -14*v**3 - 2*v - 1. Let r be c(-1). Let i be (-50)\/(65\/(-468) + (-1)\/(-9)). Suppose -11*s = 150 - i. Calculate the greatest common factor of s and r.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -51 + (1 + 0)*2. Let j = 51 + o. What is the remainder when 2 - -1 - 2*-1 is divided by j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g + 6 + 15 = -2*t, -t = -5*g + 42. Calculate the smallest common multiple of g and 96.\nAnswer: 288","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 244*v - 114 = 187*v. Suppose 2*s + 34 = 98. Suppose l - v - s = 0. What is the tens digit of l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = 7*o**3 + 69*o**2 - 5*o - 5. Let s(q) = -10*q**3 - 103*q**2 + 7*q + 7. Calculate 5*s(t) + 7*z(t).\nAnswer: -t**3 - 32*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Are 1 and -2\/641 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express (-24 + 26722*h + 64 - 26723*h)*(-6 + 32 - 5) as l*h + z and give l.\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (2\/(-2))\/((-4)\/100). Suppose -x = -4*c - 9. Suppose c*o - 9 = 35. Is o prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3)\/(172\/(-24)*9).\nAnswer: 2\/43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -179 (base 10) to base 9.\nAnswer: -218","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 790 = -155*m - 19*m + 16*m. Let z = 0.08 - -0.22. Which is the closest to 1\/4? (a) z (b) m (c) -6\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-4)\/(-5))\/(8 - (-8892)\/(-1110)). Let f = 84 + q. What is the greatest common divisor of 70 and f?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 508663 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 25, 34, 41, 46, 49?\nAnswer: 50","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*b + 0*b + 5*b**2 - 2*b.\nAnswer: 5*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yddudeehdeu. What is prob of sequence duy?\nAnswer: 4\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 317 a factor of 655913469?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1737 + -1684.46. Round f to the nearest integer.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3314 divided by 4853.\nAnswer: -3314\/4853","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(18)\/(sqrt(1089)*-2 + sqrt(9)).\nAnswer: -sqrt(2)\/21","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -2101133231 (base 4) in base 14?\nAnswer: -11727b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 5 - 1)*(-4 - 3*s + 4) + ((-2 + 1 - 1)*(-1 + 5 - 2) + 2 + 2 - 5 + 0 + 2 - 1)*(-10*s - 49*s + 135*s).\nAnswer: -301*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 870.\nAnswer: 2, 3, 5, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from dqdqdqqddddqdddddq. What is prob of picking 2 d and 1 q?\nAnswer: 33\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -1376 - -0.12\nAnswer: -1375.88","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1420 = -t + 5*t. Is t composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) be the first derivative of -5*m**3\/3 - 30*m**2 + 225*m + 484. Factor a(p).\nAnswer: -5*(p - 3)*(p + 15)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 3*-4*(-11)\/4. Let w be 88\/n + 4\/(-6). Let s(v) = 16*v - 6*v**w - v**2 - 16*v. Let z(g) = 2*g**2. Determine s(z(l)).\nAnswer: -28*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p = p - 3*h - 267, 4*p - 3*h + 363 = 0. Let i = -58 - p. Does 15 divide i + -1 + (3 - 1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 7\/2 of a decade?\nAnswer: 420","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -196 + 199. Suppose -6*i + 3618 = u*i. List the prime factors of i.\nAnswer: 2, 3, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = f**2 - 6*f + 6. Calculate t(7).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.1 + -0.6. Suppose -6*t - 63 = 81. Let l be t\/(-15) + (-18)\/(-45). Which is the third smallest value? (a) y (b) l (c) -7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) be the second derivative of -f**5\/20 - f**4\/4 + f**3\/6 - f**2 + 2*f. Let m be c(-3). Let q(z) = -14*z - 3. Is q(m) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = 11*y - 14. What is the remainder when u(7) is divided by 11?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*m - 8*t + 13*t + 1 = 0, -5*t = -m + 13 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 21 + 231. Is 36 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = h**2 - 2*h + 4. What is u(2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (((-30)\/4)\/(-5))\/((-34)\/16*-6)\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + (6 + (-12 - -1) - -7) + -1?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2\/745 or 11?\nAnswer: 2\/745","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/10 of a kilometer in meters?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -4409 - -22048\/5. What is the nearest to l in -2, -4, 2\/39?\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -x**3 - 9*x**2 - 7*x + 11. Let w be n(-8). Suppose -3*o + 74 = y + 3*y, -79 = -w*o - 5*y. Suppose g + g = o. What is g rounded to the nearest 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i - 1220*r + 1221*r = 120880001, -3*i + 2*r = 90660002. What is i rounded to the nearest 1000000?\nAnswer: -30000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -4*f**2. Let x(y) = -1. Let q(m) = -2*m + 4. Let k(n) = -q(n) - 4*x(n). Calculate w(k(b)).\nAnswer: -16*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -105, -138, -207, -318, -477, -690, -963?\nAnswer: -1302","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 5 (b) 2\/7 (c) 10\/7 (d) -4 (e) 0 (f) 0.03\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:10 AM and 10:27 AM?\nAnswer: 77","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 16\/5? (a) -0.5 (b) -2\/5 (c) 1.5 (d) -0.213\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -9 + 20. Let y = x + -7. Let j = 2\/73 - 156\/365. Which is the nearest to j? (a) -0.4 (b) y (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -80.4 + 0.4. Let s = -80.00000043 - i. What is s rounded to seven dps?\nAnswer: -0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(68) + -1)*4 - sqrt(68)) + -5)**2*-5 + 4*5*(-2 + (sqrt(68) - sqrt(68)*3)**2).\nAnswer: 1935 + 540*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 257, 1079, 2473, 4439, 6977, 10087, 13769?\nAnswer: 18023","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p\/(p*p**5*p))**(5\/2)\/((p**(-10\/7)*p)\/(p**(-16)*p*p)) assuming p is positive.\nAnswer: p**(-200\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or 1.18?\nAnswer: 1.18","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5*h - 4*h - 3*h)*(219*h + 60*h**2 - 219*h) + (3 - 3 - 2*h**2)*(2*h + 3*h - 3*h) to z*h + i*h**3 + l*h**2 + q and give z.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -99197 - 57233. Round s to the nearest 1000.\nAnswer: -156000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d + 4 + 1 = 0, -2*y + 2*d - 6 = 0. Sort y, 0, -19 in ascending order.\nAnswer: -19, 0, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2393609526.\nAnswer: 2, 3, 7, 11, 246713","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -6115*d**4 - d**3 + 14*d**2 - 10*d + 15.\nAnswer: -146760*d - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 15190 + -42266. What is the units digit of i\/(-21) + 32\/(-24)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 107265.\nAnswer: 3, 5, 7151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 782544 to the power of 1\/9, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -5*(-37)\/23 - (-842 + 850). What is the closest to d in -1, 1\/3, 1\/18?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9780960?\nAnswer: 2, 3, 5, 7, 41, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express 6*o**2 - o - 30*o**2 - o in the form p*o**2 + q + b*o and give b.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -125\/8326472 and -85\/9840376.\nAnswer: 108244136","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*o - 40 - 399 - 44 + 483.\nAnswer: -6*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-10)\/18*325902\/(-18730).\nAnswer: 29\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pptprgtfp. Give prob of sequence fp.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -22*l - 7. Suppose -22*b - 408 - 186 = 0. Let a be h(b). Is a bigger than 588?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*l - 6*l = i - 0*i - 21, 3*i = 0 for l.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -95181.83527 to the nearest 1000.\nAnswer: -95000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m + 6 = -3*r + 3, 3*r = 9. Let h = -1 - m. Determine j so that 2\/5*j**5 + 2\/5 - 4\/5*j**h + 2\/5*j + 2\/5*j**4 - 4\/5*j**3 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 7011848*k**3 - 4795029*k**2.\nAnswer: 42071088","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 254\/7 + -36. Factor -2\/7*u**3 + 0 - 4\/7*u**2 - i*u.\nAnswer: -2*u*(u + 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13 - 5 = -6*t for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 75, 0.4, 16, 5, 1808?\nAnswer: 16","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*w + 6*w - 5*w + (-2*w + w - 3*w)*(-2 - 1 + 5) - 4*w + 4*w - 4*w)*(29*w**4 - 16*w**4 - 11*w**4).\nAnswer: -30*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-8)\/3 - (-4)\/6. Let u(p) = 3*p**2 + 3*p - 4. Let f be u(x). Factor -11*k**f + 102*k**2 - 32*k**3 - 4*k**3 - 192*k + 53*k**2 + 3*k**4.\nAnswer: 3*k*(k - 4)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 26 + (0 - -49 - (575 + -578)).\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -239.9 plus -0.1?\nAnswer: -240","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = 4*x - 104. Let u be y(23). Let n be 12\/(-5)*20\/u. Solve 0 = -z - 2*k - 3, 2*z + n*k = 6*z for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 767846149 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000566 rounded to 7 dps?\nAnswer: 0.0000057","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -29*p + 67. What is c(4)?\nAnswer: -49","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1012143 + 1?\nAnswer: -1012142","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve w**2\/10 + 5896*w\/5 - 11793\/10 = 0.\nAnswer: -11793, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -131 + 4?\nAnswer: -124","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put together 1625 and 0.2.\nAnswer: 1625.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -2\/5 (b) 0.3 (c) 0.4 (d) 7 (e) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -2692 - 0?\nAnswer: -2692","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -118*t = -115*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2892*x**2 - 1535*x**2 + 59*x**2 - 5*x + 5*x + 33.\nAnswer: -4368*x**2 + 33","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000002286 rounded to seven decimal places?\nAnswer: 0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.6479 rounded to one dp?\nAnswer: -2.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -171 - -4?\nAnswer: -16c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put -18, 844, -30, 0 in descending order.\nAnswer: 844, 0, -18, -30","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*p + 16, p = 3*k - 195 - 104. What is the remainder when k is divided by 26?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*y - 12*y + 8*y - 5*y + 25*y - 8*y.\nAnswer: -3*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) be the third derivative of 2*y**7\/105 - y**6\/5 + y**5\/5 + 5*y**4\/3 + 7*y**2 + 33*y. Factor q(i).\nAnswer: 4*i*(i - 5)*(i - 2)*(i + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = p**2 - 14*p + 1. Let q be ((-4)\/22)\/1 + 1424\/88. Calculate j(q).\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 84874.\nAnswer: 2, 42437","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -4 + 183?\nAnswer: 17a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (29*f + 23*f - 122*f - 4*f - 133*f)*(5*f**2 - 6*f**2 - 9*f**2).\nAnswer: 2070*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 87320 and 888?\nAnswer: 296","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*w + 2*k - 134, -5*w + 111 = -2*w + 5*k. List the prime factors of w.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10\/9 of a hour in seconds?\nAnswer: 4000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 659716.8 millennia to months.\nAnswer: 7916601600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 53770 is divided by 334.\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lk when two letters picked without replacement from klklfffflflkfllff.\nAnswer: 9\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nnnstzs. Give prob of sequence nn.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*v**4 - 150717*v**3 - 150711*v**2 + 150717*v + 150714 = 0 for v.\nAnswer: -50238, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -0.3 (b) -1 (c) 0 (d) 4 (e) 26 (f) -0.01\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*m = -m + 4*g + 46, -m + g - 8*g - 74 = 2*m for m.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 33910?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1340390832?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 0.5, -5, 585949, -52, 1\/4?\nAnswer: -52","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.1 + 0.05. Let j = d + -0.01. Let x = -0.060065 - j. What is x rounded to 5 decimal places?\nAnswer: -0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-11)\/110*-52 - ((-64)\/(-20) - 3)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence atte when four letters picked without replacement from {e: 1, t: 4, a: 1, n: 7}.\nAnswer: 1\/1430","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -6\/11, -15\/2, 0.3?\nAnswer: -15\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2358, 4716, 7074?\nAnswer: 9432","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -3*o**3 - 83*o**2 + 28*o + 11. Let k be l(-28). Let m be -1*(-123 - 0) + -2. Calculate the greatest common factor of m and k.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y - 5 = 11. Let k be -85*9\/((-90)\/(-4)). Let b = k - -54. Solve -s - y*s = -b for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2 - -1 - (-4 + 1). Suppose t + 5*x = -9 - 1, 0 = -t + 3*x + m. Put -5, t, -6 in descending order.\nAnswer: t, -5, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*f**4 - 19746*f**3 + 2796459*f**2 + 23399424*f + 35454996 = 0. What is f?\nAnswer: -6, -2, 153, 6437","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -5*(1 - (-2 + 2)). Let i(o) be the first derivative of -4*o + 3\/2*o**2 - 1\/4*o**4 + 92 - 5\/3*o**3. Give i(g).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -5*a**2. Let t = 79 + -79. Let j(z) = 3044*z**2 + 0 - 3046*z**2 + t. Calculate j(v(b)).\nAnswer: -50*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(5000)*1*4)\/((sqrt(640) - (sqrt(640) - 4*sqrt(640))) + sqrt(640) + sqrt(90)*-1 + sqrt(90)).\nAnswer: sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 5061260011 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 38*j - 23*j + 46*j = 532225. List the prime factors of j.\nAnswer: 5, 349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 5 + -3. Let y be s\/12 + 5\/(-30). Suppose y*q = -q. Solve q = -0*n + 5*n - 25 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -a**2 + 11*a - 31. Let f be u(7). Let z be (9\/(-3))\/f*3. Solve -5 = q + d, 0 = -6*q + z*q - 5*d - 15 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (40\/60)\/((-2)\/(-12)*4). Let o be 1 - (-6 - (t + -4)). Solve 0 = 8*j - o*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 27076 (base 9) to base 13\nAnswer: 8433","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.7 - 3.3. Let t = 9 - 8.96. Let m = -0.44 + t. Put u, m, 5 in ascending order.\nAnswer: u, m, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1474\/3 - (-4)\/36*6 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-2)\/4*-2 - -2. Let g(z) = -z**3 + 3*z**2 + 3*z + 3. List the prime factors of g(r).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(-1*sqrt(11) - sqrt(11)) - (2 + sqrt(176)))**2.\nAnswer: -32*sqrt(11) + 708","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 616321 to the nearest integer?\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 71912 is divided by 306.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = 11*n**3 - 4*n**2 + 1. Let m(c) = -c**3 - c**2. Calculate -4*m(y) + p(y).\nAnswer: 15*y**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 2, b: 6, a: 1, l: 4, n: 2, d: 3}. Give prob of sequence ond.\nAnswer: 1\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence idh when three letters picked without replacement from hdi.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*d - b - 3 - 3, -5*d + 3*b = 2. Let r be (4 - 4) + d + 1. Suppose v + r*v = 84. What is the remainder when v is divided by 8?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.04 + 0.16. Suppose -3*j + 6 = -q - 4, -3*q + 2*j - 16 = 0. Sort -0.1, o, q in descending order.\nAnswer: o, -0.1, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -129*r - 62*r - 119*r + 20*r + 79*r + 2 - 72*r.\nAnswer: -283*r + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(6) - sqrt(270)\/sqrt(5))\/(sqrt(32) - -3*sqrt(32)).\nAnswer: -sqrt(3)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in fifteen quarters of a kilogram?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 2459529, 4918993, 7378457, 9837921?\n\"Answer: 2459464*k + 65","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*l - 170 = a - 185, 20 = -7*a + 4*l for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -110200001211121 (base 3) to base 8\nAnswer: -31536175","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 0\/(8\/(-12)*-3). Suppose y = 2*q - 6*q + 8. Let n be 4\/(-18) + 22\/18. Is q != n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -38\/585 and -93\/130.\nAnswer: 1170","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -fa6c - 0?\nAnswer: -fa6c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*t**3 - 2*t**3 + 4*t - 4*t**3 - 7*t**2 - 4*t**2 + t**3 to d*t**2 + j*t + q*t**3 + b and give j.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 86, 325, 724, 1283?\n\"Answer: 80*x**2 - x + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -30, -16, -2, 12, 26, 40?\n\"Answer: 14*m - 44","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in nine tenths of a second?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*z = -4, 0 = y + 16*z - 15*z for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 67 minutes after 11:27 PM?\nAnswer: 12:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 6574\/(-266) + 2\/(-7). Let w(o) = -o + 1. Let f be w(-3). Suppose -f = y + 20. Which is greater: c or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z + 10 + 5 = 0. Let x(w) = w**2 + 5*w + 3. Let c be x(z). Solve c*j - 3*o - 2*o + 12 = 0, 0 = 3*j - o for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i*i**(-9\/2)*i\/i**(-3\/5))\/(i**1\/(i*i**(-5))) assuming i is positive.\nAnswer: i**(-69\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1077 is divided by 98.\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) be the first derivative of f**2 + 6*f + 37. Let y(u) = u**2 - u + 3. Let c be y(0). Suppose -c*t = -0 + 15. Determine x(t).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 265772.7km in nanometers?\nAnswer: 265772700000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -32ba6 - 6?\nAnswer: -32bb0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -14.93342 rounded to two dps?\nAnswer: -14.93","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*t - 1512 = 7161. Is t a multiple of 37?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) be the third derivative of -p**6\/1080 + p**5\/36 - 13*p**4\/108 + 345*p**2. Solve b(z) = 0.\nAnswer: 0, 2, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2426378755?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 98875054486 + 0.013?\nAnswer: 98875054486.013","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*b**2 - 2*b**2 - b**2)*(-17*b + 16*b - 6*b**2 + 0*b**2) to the form a*b**4 + r*b**2 + f + x*b + k*b**3 and give k.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor 108*n**4\/5 - 354*n**3\/5 + 246*n**2\/5.\nAnswer: 6*n**2*(n - 1)*(18*n - 41)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -28, -25, 4, 71, 188, 367?\n\"Answer: 2*w**3 + w**2 - 14*w - 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11\/(-33)*2*2\/((-28)\/9).\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 474 - 1113. What are the prime factors of u\/(-36)*(-144)\/(-3)?\nAnswer: 2, 3, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = 7*r**2 + 50*r + 123. Let a(c) = -c**2 + 1. Let s(o) = 2*a(o) + g(o). Factor s(k).\nAnswer: 5*(k + 5)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = 34*c + 35. Let b(d) = -11*d - 12. What is -7*b(h) - 2*u(h)?\nAnswer: 9*h + 14","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2138926?\nAnswer: 2, 1069463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 5*d - 1 + 107*d**5 + 1001*d**2 - 1001*d**2 - d**4 wrt d.\nAnswer: 2140*d**3 - 12*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -121 - -176. Calculate the highest common divisor of 451 and m.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 1375973, 1375974, 1375987, 1376018, 1376073, 1376158?\n\"Answer: m**3 - 6*m + 1375978","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -164, -183, -228, -311, -444, -639, -908?\nAnswer: -1263","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 101790 and 7290.\nAnswer: 2748330","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -y**2 + 9*y + 1. Let k be p(9). Suppose 0 = 4*t - h + 35, -h - 10 = 12*t - 11*t. Let g = k - t. Is g a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine q, given that 3*q**2 - 13410*q + 14985675 = 0.\nAnswer: 2235","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -53*g**4 - 5*g**2 - 942 wrt g.\nAnswer: -212*g**3 - 10*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g and 1 h when two letters picked without replacement from {s: 1, z: 1, g: 2, r: 1, h: 1, x: 1}.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: (15\/55 - (-14941)\/(-737))\/(-38)\nAnswer: 10\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 478627 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -17 - -12. Let c = 47.1 + -117. Let t = c + 70. What is the biggest value in -3, t, u?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -551042 + 44726\nAnswer: -506316","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 7670 or 7669?\nAnswer: 7669","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k + 4 = 1. Suppose 2*z = 45 - 7. Suppose -k = 4*l - z. Is l a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 841 and -102435.\nAnswer: -86147835","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 74798973 from -103.\nAnswer: -74799076","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) be the third derivative of 1907*j**9\/504 + 172*j**5\/15 - 437*j**2 - 2*j. Find the third derivative of o(c) wrt c.\nAnswer: 228840*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 477 - 467. Calculate the greatest common factor of y and 12.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1049 by -179.\nAnswer: -1049\/179","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = 2*l**2 + 3*l - 4. Let g be i(-5). Suppose 5*c + 0*f - g = -f, -5*c - 5*f + 15 = 0. Let h = c - 3. What is the units digit of h?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -49508*p - 6*p**3 + 49508*p.\nAnswer: -6*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -14, 6, 42, 94, 162, 246?\nAnswer: 346","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 408 minutes before 4:51 PM?\nAnswer: 10:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 524480218 + -524479931.999379. Let y = -0.365 - -286.365. Let h = g - y. Round h to four decimal places.\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 35123 and 72512?\nAnswer: 2247872","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 4004.525 take away -1?\nAnswer: 4005.525","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 16632630 and 136170?\nAnswer: 1530","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 d and 1 v when four letters picked without replacement from vvnvsvyddnvdsbd.\nAnswer: 4\/273","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o + 8 = 5*t, 0 = 4*t - 6*t - 3*o + 6. Suppose -2*k + 4*k = t. Let y be (k + (-1)\/(-4))*4. Which is bigger: y or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -22\/65 + 7\/13. Let p = -0.43 - -0.13. Let z be -4 + (360\/(-25))\/(-3). Which is the second biggest value? (a) p (b) z (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1403989.45 rounded to the nearest 100000?\nAnswer: 1400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9 + 6\/(-3) - 11?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 59? (a) 0.2 (b) 6\/3175 (c) -223\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = 2*h**2 + 4*h + 2. Suppose 3*y - 202 + 4 = -63*y. Let p(z) = -3*z**2 - 7*z - 3. Suppose 5*f - 10 + 25 = 0, t = -f + 2. Determine t*c(u) + y*p(u).\nAnswer: u**2 - u + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 15 + 498*l**3 - 118*l**3 - 291 wrt l.\nAnswer: 1140*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w - y - 12 + 36 = 0, w - 10 = 5*y. Suppose -3*c + 2*q + 9811 = 0, 4*c + 2*q - w*q - 13081 = 0. Is c a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (30 - 7)*(-66)\/(-253)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uuu when three letters picked without replacement from uuu.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4, 6, 10, 16, 24?\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3368265 and 165.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000011508 rounded to seven dps?\nAnswer: -0.0000115","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -235.66 - -236.06. Let y = -0.3 - -0.2. Put 11.4, f, y in ascending order.\nAnswer: y, f, 11.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hsf when three letters picked without replacement from {f: 4, l: 4, s: 1, h: 1}.\nAnswer: 1\/180","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = 138*u + 66. Let y = -431 - -435. Does 5 divide s(y)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3 in -1\/5, 10\/57, 1\/7?\nAnswer: 10\/57","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -32*r**2 + 16*r - 2.\nAnswer: -2*(4*r - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 358 a factor of 20586909?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -j + 10. Let o be y(5). Suppose f + 0*f = 3*c + o, -4*c + 20 = 4*f. Solve -k + c*k = x, 5 = x for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1\/(-4 + 394\/98).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 443 and 94906105.\nAnswer: 443","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*n + 2*n + 2 = 0 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(sqrt(1100) + 2 - sqrt(1100)) + sqrt(1100) - (4 + sqrt(1100) + 2).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -t**3 + t**2 + t + 33. Let x be 4\/(-26) + (-14)\/(-91). Does 5 divide b(x)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3774441 at least as big as 3774407?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 135 divided by 45?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 3, 68, -4 in decreasing order.\nAnswer: 68, 3, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q + 6 = 31. Suppose -q*i + 8*i = 54. Calculate the lowest common multiple of 20 and i.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -48 + 48. Suppose -2*o + 6 = 4*m - x*m, 3*m - 9 = -3*o. Suppose -8 = a - o*r, 0 = -5*a - 4*r + 14 + 22. Solve 3*d - a = 3*q + 2*q, 4*d = -8 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = 2*q + 7. Let t(n) = 2*n + 6. Let c(a) = a**2 + a + 5. Let h be c(0). Let b(k) = -k**2 - 14*k - 19. Let g be b(-13). Give g*t(p) + h*l(p).\nAnswer: -2*p - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*k**3 - 2907*k**2 - 102411*k + 105315.\nAnswer: 3*(k - 1003)*(k - 1)*(k + 35)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-2 - (2 + 2708))\/(-1). Let x be (-2)\/(-10) - u\/60. What is the units digit of (-2)\/5 - 2178\/x?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1450516143759 + -61.\nAnswer: -1450516143820","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -2, -0.3, 5, 6?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((0 + -4 + 2 + sqrt(2299)*-2)*2 + -4)**2.\nAnswer: 704*sqrt(19) + 36848","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 31403 + -10?\nAnswer: 31343","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -53 + 110. Let h = b - 56.31. Let w = h - 0.6838. Round w to three decimal places.\nAnswer: 0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*n + 4*n - 4. Let f(g) be the first derivative of -1 - 1\/2*g**n - g. Differentiate f(d) wrt d.\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 57 and 4864.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 160 a factor of 12640?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 179, 178, 175, 170, 163, 154?\n\"Answer: -p**2 + 2*p + 178","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n = c - 6*c - 70, 0 = 3*n + 9. Let u(w) = -2*w + 2. Is u(c) even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.2, -0.26, -2, -5\/4, 286 in descending order.\nAnswer: 286, -0.2, -0.26, -5\/4, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 4\/7 (b) -13.99 (c) 2 (d) 2\/35 (e) 0 (f) 0.3 (g) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -529, -772, -1027, -1294, -1573, -1864, -2167?\nAnswer: -2482","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 35208 a multiple of 376?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -165*v**4 - v**3 + 2727*v**2 - 9020134*v wrt v?\nAnswer: -1980*v**2 - 6*v + 5454","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 + 2)*(7*f - 2*f - 2*f)*(3 - 6 + 1)*(5 - 4 - 2)*(6 + 3 + 43).\nAnswer: 624*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s and 2 o when three letters picked without replacement from {n: 4, u: 1, h: 1, o: 2, s: 2}?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*v**3 - 7*v**4 - 3*v**3 + 0*v**2 + v**4 + 0*v**2 + (4*v**3 - 4*v**3 - 2*v**3)*(-3 + 3 - 2*v) in the form f*v**4 + z*v + k + m*v**3 + s*v**2 and give k.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence po when two letters picked without replacement from pjjjjjppoojjop.\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1 + 1. Let i = -141 + 157. Suppose 0 = 9*h - 2 - i. Solve -c - g + 2 = -2*c, h*c - g + 2 = z for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 24 and 90248?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 9668?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 131 + -128.16. Let h = -2.476 + -0.024. Let n = k + h. Round n to 1 decimal place.\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:48 AM and 8:56 AM?\nAnswer: 488","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*u**5 - 3*u**5 + 24*u**5)*(-5 + 4 - 3).\nAnswer: -76*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:10 AM and 3:44 PM?\nAnswer: 454","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = 12 - 4 + 10*s - 7. Determine d(1).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 304 minutes after 10:59 AM?\nAnswer: 4:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 82 - 79. Differentiate -65*b**h - 650*b - 651*b + 64 + 1299*b wrt b.\nAnswer: -195*b**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 17 + -14. Suppose z*n + 25 = -5. Let p = -8 - n. Solve 4*w - p*x = 28, w - 13 = -0*w + 2*x for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (1336\/(-33))\/4*876\/8. Let n = z + 1109. Find the common denominator of n and -54\/5.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 751?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r = -4*r + 15. Suppose 2*s = z + 3 - 36, 89 = r*z + 4*s. Is z prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*((sqrt(1872) + 1)*3 + sqrt(1872) + 2*(sqrt(1872) + -1)**2)*-3 + 3.\nAnswer: -67479","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -18*y**2 + 58*y - 4. Determine k(3).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (204\/105060*721)\/(1\/(-40)).\nAnswer: -56","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 191105 a multiple of 37?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g + 8 - 38 = 0. Let d be (-7)\/12 + 5\/g. Which is greater: d or 0.8?\nAnswer: 0.8","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3679, 3631, 3583, 3535, 3487?\nAnswer: 3439","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 13, y: 6}. What is prob of picking 4 y?\nAnswer: 5\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c*c*c**(-14\/9))\/c**(-13))\/(c**21\/c*c\/(c\/(c\/c**(-20)*c)*c)) assuming c is positive.\nAnswer: c**(-248\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express 505*p + 101*p + 7*p**2 + 270*p - 62*p in the form q*p + h + b*p**2 and give b.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2360908941?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = d**3 + 5*d**2 - 3*d + 4. Let h be s(-5). Let n(j) = j**2 + 12*j - 5. Let m be n(-12). Sort 3, -3, h, m in decreasing order.\nAnswer: h, 3, -3, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -4*s**2 - 52*s + 264. Give y(-17).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -12.015*2\nAnswer: -24.03","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 102171 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(500) + -2*sqrt(500) + sqrt(320)*2)\/(((sqrt(3840) - sqrt(60))\/sqrt(5) + sqrt(12) + sqrt(12) + sqrt(12))\/sqrt(3)).\nAnswer: 3*sqrt(5)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) be the first derivative of -u**2\/2 - 21. What is o(0)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:50 AM and 6:45 PM?\nAnswer: 595","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 13040803 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -1901 - 1935?\nAnswer: -3736","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + -6*sqrt(2057)*4 + sqrt(2057) + 4)**2.\nAnswer: 506*sqrt(17) + 1088154","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 15, 54, 119, 210, 327, 470, 639?\nAnswer: 834","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.3 - 4.3. Let w(h) = -14*h - 7. Let s be w(-5). Let m = s - 64. Is m not equal to l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 14156897 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -52*q**2 + 1. Let y(z) = -5*z - 4. Let s(n) = 4*n + 3. Let g(w) = 4*s(w) + 3*y(w). What is b(g(m))?\nAnswer: -52*m**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/337 in -0.02, -0.5, 2, 3, -2\/11?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 7, p: 7}. What is prob of picking 2 p?\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -39*u**2 - 478*u**2 - 336*u**2 - 49*u**2 + 24*u**2 - 320*u**4 wrt u.\nAnswer: -7680*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uutu when four letters picked without replacement from uafnnnnnnnuutathu.\nAnswer: 1\/1190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**43)**(-1\/2)\/(y**(-16\/11)\/y*((y\/(y\/(y**(-10)\/y)))\/y)\/y) assuming y is positive.\nAnswer: y**(-133\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 160\/(-120) + (-116)\/(-60).\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 4\/(-6) + (-880)\/99*6. Let f be 36\/k*27\/6. Let u(q) = -3*q - 3. Calculate u(f).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -14*r**2 - 2246*r**3 + 14*r**2 + 44*r + 2238*r**3 in the form s*r**2 + m + d*r + i*r**3 and give d.\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide -164313127 by -14937557.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*c**3 + 186340*c**2 + 2172675628*c + 58526478828.\nAnswer: 4*(c + 27)*(c + 23279)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q\/q**5*q**(-5\/2)*q)\/(q*q*q**(-2\/11))**(24\/11) assuming q is positive.\nAnswer: q**(-2291\/242)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j = 0, -a + 16 = -2*j + 18. Sort -45, a, 3 in decreasing order.\nAnswer: 3, a, -45","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1 + 5. Let t(u) be the first derivative of 17*u**3 + u**5 + 13*u**3 - 135*u - 17 + 3*u**4 + 7*u**w. Factor t(v).\nAnswer: 5*(v - 1)*(v + 3)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 517 divide 22009207?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c + 10*a = 5*a - 111, 0 = 5*c + 5*a + 240. Let u = c - -84. Calculate the remainder when u is divided by ((-2)\/(-6))\/((-3)\/(-207)).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3146?\nAnswer: 2, 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 477 and 522 - (96\/42)\/(18\/(-63))?\nAnswer: 4770","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0.12 (b) -1\/5 (c) 2 (d) 159826 (e) 2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v + 2*q - 3*q + 92 = 0, -q = -5. Let g(d) = -d**2 - 9*d + 29. Let z be g(6). Let i = v - z. What is i rounded to the nearest 10?\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 33983 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 - (-127 + 232 - (4 - -27))?\nAnswer: -70","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -g**2 + 9*g - 10. Let p be s(8). Which is the biggest value? (a) 5\/3 (b) 0.01 (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = 2*v**3 + 2*v**2 - 3*v. Let d(x) = -x**3 - x**2 + 2*x. Suppose 2*n - 4*n = 4. Let a(i) = n*m(i) - 3*d(i). Factor a(l).\nAnswer: -l**2*(l + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 7957\/4386 + 5\/129. Find the common denominator of -97\/24 and u.\nAnswer: 408","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*2*sqrt(150)*5)\/(sqrt(48) + sqrt(240)\/sqrt(5) + (sqrt(243) + -1*sqrt(243) + sqrt(243) - sqrt(243))).\nAnswer: -25*sqrt(2)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 662*h + 1343*h - 76680 = -849*h - 341*h for h.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 2\/(-8) + (-11)\/4. Let k(p) = -6*p + 1. Let v be k(1). Let q = v - x. Sort -4, q, 0 in increasing order.\nAnswer: -4, q, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -69, -131, -235, -381, -569?\n\"Answer: -21*z**2 + z - 49","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2278036 + -0.098426.\nAnswer: -2278036.098426","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*u - 281 = 4*t - 369, -3*t + 58 = u for t.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0 (b) 2 (c) 14\/5 (d) 261\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -23.53 times 0.4?\nAnswer: -9.412","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -8 in 0, -2\/881, 1\/5, -3.7, -3?\nAnswer: -3.7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 6 - 2\/(4 - 3). Let g be ((-5)\/x)\/((-3)\/12). Solve -2*d - g = -d for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -23 take away 42120.77?\nAnswer: -42143.77","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = 2*m**2 - 2*m + 39. Does 49 divide d(18)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 2, 259023, -0.3 in increasing order.\nAnswer: -1, -0.3, 2, 259023","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor -8*f**4 + 2*f**2 - 4*f + 4*f**5 - 8*f**2 + 14*f**2.\nAnswer: 4*f*(f - 1)**3*(f + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -160*v - 73. Let f be m(13). Let u = -886 - f. What are the prime factors of u?\nAnswer: 7, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5\/6, 9, 1\/7, -8515.5, -4 in decreasing order.\nAnswer: 9, 1\/7, -5\/6, -4, -8515.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 135165?\nAnswer: 3, 5, 9011","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3 + 7. Suppose -3*p + 3*o = o - y, -2*p = o + 5. Solve v = -p + 2 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4285877 (base 9) to base 10.\nAnswer: 2300713","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -121 - -0.013?\nAnswer: -120.987","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -122 or -3738?\nAnswer: -3738","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 2, -526, 0.3?\nAnswer: -526","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -7\/47 - 41\/987. Let h = k - 1\/7. What is the nearest to 2 in h, 2.8, -3?\nAnswer: 2.8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b + q + 34 = 0, b - 2*b + 10 = -4*q. Let g = -4 - b. Let i(a) = 2 + 2*a**g - 2. Let n(c) = c. Give n(i(v)).\nAnswer: 2*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -70, -137, -204, -271?\nAnswer: -338","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*o**3 - 1022010*o**2 + 2044035*o - 1022020 = 0.\nAnswer: -204404, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*p = -2, -2*j = -4*j - p - 1 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 13.25 + -10.3. Let y = 1.52 - u. Round y to one decimal place.\nAnswer: -1.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6529951*0.072.\nAnswer: -470156.472","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 4\/7, -1, -27\/2326 in decreasing order.\nAnswer: 5, 4\/7, -27\/2326, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((w\/(w*w*((w\/w**(-8))\/w)\/w))\/w)\/w)\/w*w*w**(-2\/11)*((w\/w**(5\/8)*w)\/w)\/w*w\/(w**(-15)\/w)*w)**(18\/5) assuming w is positive.\nAnswer: w**(5697\/220)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Determine d, given that -d**5\/4 - 113*d**4 - 1766*d**3 - 9640*d**2 - 20964*d - 15696 = 0.\nAnswer: -436, -6, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1300*b + 15307 + 31551 = 10458 for b.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -9.67 and 90585?\nAnswer: 90594.67","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/4? (a) 4 (b) -4 (c) -1682\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 416611?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -1. Let v(u) = -11*u. Let w(b) = 4*m(b) + 2*v(b). Let k be w(-2). Suppose k = c - 47. Is c a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a - 2*o = -0*o + 10, 5 = 5*o. Suppose -t - 2 + 0 = 2*i, 5*i = -4*t + 7. Let m = t - a. Solve -g = -m*g - 1 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.146255*78.8.\nAnswer: 11.524894","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 43 - 27. Suppose 0 = -3*n - 0*g - g + 13, -g - 8 = -4*n. Let d be 36 + -4*n\/((-3)\/(-1)). What is the greatest common factor of d and s?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) be the first derivative of -4*t**3\/3 + 1. Let u(n) = -3*n**2. Give u(a(j)).\nAnswer: -48*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5610?\nAnswer: 2, 3, 5, 11, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = 15 - 8*r**2 + 452*r + 2*r**3 - 5*r**3 - 466*r - 5*r**3. Is g(-8) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 14 or 13?\nAnswer: 14","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11 is divided by 6?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 564 (base 11) to base 10\nAnswer: 675","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t - 2*x = -3*x + 55869, -2*x = 3*t - 55869. Is t a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) be the first derivative of -k**3\/3 + 25*k**2\/2 + 37*k - 851. Determine m(26).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -2*t + u, t + 5*u + 7 = 19. Let o(y) = -4*y. Let d(c) = 5*c. Let v(p) = 5*d(p) + 4*o(p). What is the units digit of v(t)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7615167?\nAnswer: 3, 7, 17, 83, 257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 21884209 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + -1 + (-108)\/(-4131)*72?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2069*v - 29414*v - 586*v - 4892*v)*(-2 + 0 + 1)*(0*v + 4*v - 2*v).\nAnswer: 73922*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 7837, 7803, 7773, 7747, 7725, 7707, 7693?\n\"Answer: 2*r**2 - 40*r + 7875","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = -s + 15. Does 5 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -72, -106, -210, -426, -796, -1362, -2166, -3250?\nAnswer: -4656","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 4 - (-1 - (4 - 0)) and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 15805?\nAnswer: 5, 29, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bqvoqonvvoqqvqoqn. What is prob of sequence bn?\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 1084965 to the nearest 100000.\nAnswer: 1100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 31459 and 815.\nAnswer: 163","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 3, l: 3, r: 3, i: 2, b: 2}. What is prob of sequence ii?\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -9 + (19 - (-2 - -7)) - (2 - -1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(2\/7))**(-25)\/(h*h*h**3*h*(h*h*h**(-3\/7))\/h) assuming h is positive.\nAnswer: h**(-96\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -537835 divided by -107567.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -m = -2*z + 22, 0 = 24*z - 12*z - m - 112 for z.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -30*d + 60*d - 575 = -29*y + 25*d, -5*y + 99 = 5*d - 4*d for y.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Determine f so that 4*f**4 + 58312*f**3 + 218042308*f**2 + 40266068736*f + 1907315675136 = 0.\nAnswer: -7193, -96","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -15 - -31. Suppose l*h + 18 = 19*h. What is the units digit of h?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -245 - -461. What is the common denominator of -71\/4 and 9\/(f\/100) - 6?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -101001010101101 (base 2) to base 11\nAnswer: -149a1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(816)\/sqrt(3) + (sqrt(153) + 1 - sqrt(153)) + -4 + 1.\nAnswer: -2 + 4*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2 + 2121?\nAnswer: 2112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-5 + 5)*(-2)\/6. Suppose z = -3*w + 203 + 91. Is w a multiple of 29?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u = 3*d - 35, -2*u - 50 = -4*d - 8. Let a = -37 - -42. Suppose 4*z - a = d. Is z even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0 + -4. Let p = 5 + z. Sort p, 2\/9, 0.2 in increasing order.\nAnswer: 0.2, 2\/9, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -11*r + 2*r**3 + 45*r**2 + 4*r**3 - 48*r**2. Suppose 4 + 194 = 18*y. Let j(w) = 2*w**3 - w**2 - 4*w. Give y*j(g) - 4*u(g).\nAnswer: -2*g**3 + g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*u = -o - 32, 51*u - 28*u - 24*u - 4*o = 185 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 73121069573 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-z**4 - 2*z**4 + 2*z**4)*(0 - 3 + 7) + (z**3 - z + z)*(4 - 4 + 3*z) to the form h*z**4 + d*z + u*z**2 + x + l*z**3 and give h.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.01 - 20.99. Let s = -12 - g. Let u = 8.8 - s. Sort u, -5, -1\/3 in descending order.\nAnswer: u, -1\/3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2 + -5. Let m = f - -2. Sort m, 2, 0.3 in increasing order.\nAnswer: m, 0.3, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -62 - -312\/5. Let i be (-5 - -1)\/((-18)\/(-2)). Which is the nearest to o? (a) 0.2 (b) i (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (100\/(-6))\/(-2) + 1 + -3 + -6\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (-6 - (-18 + 1)) + -3\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 210\/9 - (-6)\/9. Suppose -3*q + 29 + g = 4*k, -5*k = 5*q - 90. Suppose 2*i = -v + 19, 3*i - 18 - q = -2*v. Is 8 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 534279.5 centuries?\nAnswer: 53427.95","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -53 - -103. Suppose h + 5*d = 22 + f, 252 = 5*h - 2*d. Let u be (-8)\/h + (-343200004)\/(-26). What is u rounded to the nearest one million?\nAnswer: 13000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -4*h**2. Suppose -2*a = 2*a - 12. Let u(c) = -2*c**2 - 2*c**2 + a*c**2. Calculate z(u(m)).\nAnswer: -4*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1037*g**2*w - 93132*g**2 - 4817694*g*w + 15*g wrt g?\nAnswer: 2074*w - 186264","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -8*l + 43*l - 210 for l.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 8990, 13235, 17480, 21725?\n\"Answer: 4245*d + 4745","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 36804 * 4\nAnswer: 147216","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 36\/24 + 18\/(-4) + 4459. Let h be (-10)\/(-45) + y\/36. Let v = -121 + h. Which is greater: v or 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of o**5 + 7527565*o**4 + 32135437*o**2 + 1.\nAnswer: 60*o**2 + 180661560*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2305*i**3 - 322050*i**2 - 11203500*i + 3185000 = 0 for i.\nAnswer: -70, 130\/461","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -3*g**2 + 91*g + 38. Give f(32).\nAnswer: -122","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*s**2 + 10 - 11 - 5*s**2 + (2*s + s - 5*s)*(4*s - 3*s + 0*s) as q*s**2 + r*s + k and give k.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:42 PM and 4:23 AM?\nAnswer: 401","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -27 + 29. Let w(m) = 2*m. Let r be w(s). What are the prime factors of 2\/(r + (-42)\/11)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.05835 + -216.94165. What is the biggest value in 0.07, -3, -3\/7, a?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4*299\/1404*27\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -36693 - -3\nAnswer: -36690","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put 1606, -17, 4 in increasing order.\nAnswer: -17, 4, 1606","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 18830 and 90.\nAnswer: 169470","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = 3*y**2 - 110*y + 1115. What is x(27)?\nAnswer: 332","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) be the second derivative of z**6\/30 + 2*z**5\/5 + 7*z**4\/4 + 11*z**3\/3 + 4*z**2 + z - 118. What is h in f(h) = 0?\nAnswer: -4, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14824201667 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (27\/(-5))\/((-179)\/895). Solve s*a + 22 = 32*a - u, 4*a + 3*u - 29 = 0 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = f**3 + 8*f**2 + 6*f + 15. Let a be i(-7). What is the second derivative of a*h**3 + 20*h + 17*h**3 + 15*h - 1 + 3 + 0 wrt h?\nAnswer: 234*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:26 PM and 10:02 PM?\nAnswer: 156","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -306253 = 2*a + 113747. Round a to the nearest 100000.\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 117\/780*30\/(-45)?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*t + 1 - 19. Suppose 10*m = t*m + 3, -3*l + 2*m + 108 = 0. Does 7 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 208350782?\nAnswer: 2, 983, 105977","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -44\/3103 and -13*45\/(-18)*1*2\/(-4).\nAnswer: 12412","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -56*d = d + 456 for d.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 356 is divided by 320.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 434 (base 7) in base 14?\nAnswer: 11b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 4\/(-5) - 192\/(-40)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 111737758751 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/(-8))\/((-891)\/648).\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u + 62 = z, 0 = -u + 3*z + 2*z - 6. Is u prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 l when three letters picked without replacement from {l: 10}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*a - 2*a - 2*a - 4 + a + 4 - 3*a + 0*a + 4*a + (-2 + 0 + 0)*(-3*a + a + 4*a) - 20 + 44*a + 18 + 15*a.\nAnswer: 56*a - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 314261 is divided by 372?\nAnswer: 293","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide 15908 by 2669.\nAnswer: 15908\/2669","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) be the third derivative of 189*p**4\/2 - 2515*p**3\/2 - 6075*p**2. Differentiate m(k) wrt k.\nAnswer: 2268","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 5*c*l**2*u**2 - c*l**2*u - 1013957*c*u**2 - 11*c - 21*l**2*u + 6*l**2 + l*u - 3*u wrt u?\nAnswer: 10*c*l**2 - 2027914*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 21805?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (22\/(-6))\/(2\/(-6)). Let f(w) = 0*w + w - s + 0*w. Determine f(0).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3550.8 + -3550. Which is smaller: d or -417?\nAnswer: -417","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*a, -4*i - 5*a = -a. Let d be (-85 + (i - 4))*-8. Let j be (d*3)\/((-24)\/100000). What is j rounded to the nearest one million?\nAnswer: -9000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*c - 9*c + 0*c in the form i + g*c and give g.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nx when two letters picked without replacement from {m: 3, n: 2, c: 1, x: 1, w: 1}?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 26*u - 23*u = -2*j + 6, -u + 76 = 13*j. Sort 0, j, -84, -4, -1 in decreasing order.\nAnswer: j, 0, -1, -4, -84","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.18 and -182.3.\nAnswer: 32.814","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 14 + -14.06. Sort r, -2, 0 in decreasing order.\nAnswer: 0, r, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -23 - (-20306)\/(-884)*-1.\nAnswer: -1\/34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 89*q - 69*q + 100 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 815, 3159, 7061, 12521, 19539, 28115, 38249?\nAnswer: 49941","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lufbllh. Give prob of sequence bu.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.37 - -0.07. Let j = 0.07 - 5.07. Let q = j + 5. What is the closest to q in s, 2, 0.5?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 divided by -49.\nAnswer: -6\/49","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (5 - (3 + 6)) + 17. Let r(y) = -l*y - 2150 + y**2 - 2*y**2 + 2146. Give r(-12).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence erle when four letters picked without replacement from {l: 10, h: 1, i: 1, e: 5, u: 1, r: 1}?\nAnswer: 25\/11628","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1337107*n**2 - 6 + 1 + 1338049*n**2)*(1 + 0 + 1)*(4*n - 1 - 4*n - n) to y*n**2 + v*n**3 + t*n + s and give v.\nAnswer: -1884","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2817, 5629, 8441?\nAnswer: 11253","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 328093379?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 1213147 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1*(-111 + 0\/(-5)). Let n = u - -51. Let c = n - -62. Does 2 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*g - 2*r = 2, -2*r - 3 = -g - 1 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t*t\/t**5*t\/(t*t**(1\/7)))**39 assuming t is positive.\nAnswer: t**(-858\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 252142?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2260896227?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -34 + 39. What is the smallest value in -0.4, 0.5, l?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vvtb when four letters picked without replacement from tdtvvtb?\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is ten ninths of a week in minutes?\nAnswer: 11200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-4)\/(-12) - 18\/(-27) - (0 + -29). Solve -28*h = -v*h + 8 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 23870879 to the nearest integer?\nAnswer: 288","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express (47 + 58 - 74)*(0*n + 2*n - n) in the form j + o*n and give o.\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*x = 1706 + 4678. Does 28 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 141, 916, 2317, 4344, 6997, 10276?\nAnswer: 14181","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve v + 296 - 316 = 5*o, o + 15 = -2*v for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*f = f - 2*k + 10, -2*f + k - 5 = 0 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from itatbmavmttb. What is prob of sequence bimb?\nAnswer: 1\/2970","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*p = 6*p + 5*t - 15, 4*p + 5*t = 15 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 895187497 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 - (12 + -7 + -13)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -9 + -7?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2429130*o**5*q - o**2*q + 13*o**2 + 4531 wrt o.\nAnswer: 145747800*o**2*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*h - 5*p + 20 - 5, 7*h = -5*p + 65 for h.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 = 11*f - 36. Solve -4*g + 3*q - 6 = 14, g + f*q - 6 = 0 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) be the first derivative of -67*w**5\/5 - 2*w**3\/3 - 15*w**2\/2 + w + 47. Find the second derivative of s(u) wrt u.\nAnswer: -804*u**2 - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 1, -42, -215, 0 in ascending order.\nAnswer: -215, -42, -5, 0, 1","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: Is 112304 a multiple of 37?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w*w*w**(2\/49)*w**(-32)*(w**(-4)\/w)\/((w*w**14)\/w))**(2\/45) assuming w is positive.\nAnswer: w**(-4798\/2205)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -4 (base 10) to base 4\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -4\/5 in -19, -5\/2, -121?\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 52292015 and 820.\nAnswer: 205","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f + q + 1 = 0, -3*f - 4*q = -8*f + 4. Solve j + f = -2 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-6160)\/(-2200) + (0 - (-2)\/10). Let g(j) = -j**2 - j - 1. Give g(n).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -1158 and 9 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 74888 is divided by 74798?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z, 1 m, and 1 a when three letters picked without replacement from {m: 3, i: 3, z: 2, a: 1, x: 2, e: 7}.\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1.0821 + 3.0821. What is the nearest to 61 in -1, u, 0.3, 1\/4?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 101341 - -3042?\nAnswer: 104433","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 70? (a) 1\/109 (b) -40 (c) -0.5 (d) 34\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z + 2*y - 22 = -0*y, 3*y - 3 = 3*z. Suppose -z*v = -2*v + 58. Let q = 91 - 120. Is v at most as big as q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 1, e: 5, c: 1, q: 4, h: 5, d: 1}. What is prob of sequence efqq?\nAnswer: 1\/952","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 1348 - 253803?\nAnswer: -252466","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2664 - 2658. Solve 5*v - n = -w, -26*w + v - 10 = -24*w for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 49834560 and 36800?\nAnswer: 249172800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d and 1 s when two letters picked without replacement from {s: 6, d: 10, o: 2}?\nAnswer: 20\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(sqrt(80) + 2)*2)**2 + (sqrt(60)\/sqrt(96) + sqrt(10))\/(sqrt(18)*-1).\nAnswer: 6907*sqrt(5)\/12 + 3024","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.06, -3\/2, -1, -4 in decreasing order.\nAnswer: -0.06, -1, -3\/2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 16? (a) -0.5 (b) -0.8 (c) 6\/29 (d) -1\/3 (e) -0.4 (f) -0.06\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/3 in -2, 0.22, 1\/5, -3\/5?\nAnswer: 0.22","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 80155?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3732 + 5412. Round v to the nearest 100.\nAnswer: 1700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*s = -6*s - 15. Let g(x) = -7 + 3*x - x - 2. Let i be g(s). Solve i = -2*q - 1 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -6525 or -6526?\nAnswer: -6525","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 35 minutes after 11:55 PM?\nAnswer: 12:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q + 40 = s, -2*q + 4*s + 4 = -46. Does 7 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bwwbbbwwwwwwbw. What is prob of sequence bb?\nAnswer: 10\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 4 + -8 + 4 - (-28)\/7. Which is the closest to -0.5? (a) -0.1 (b) 0.15 (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 60236769.\nAnswer: 3, 103, 151, 1291","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -46*f**2 + 4*f + 10. Let w(x) = 42*x**2 - 4*x - 7. Give 2*t(m) + 3*w(m).\nAnswer: 34*m**2 - 4*m - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 184812*i**5 - 7*i**3 + 2*i**2 + 6*i + 118645 wrt i?\nAnswer: 11088720*i**2 - 42","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 100337?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -17 + 2*h**4 - 75 - 1 + 3*h**2 + h**3 to the form c*h**4 + w*h + x + f*h**2 + g*h**3 and give w.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 16 + -12. Let n be (-44)\/55 - s*(-12)\/10. What is the highest common factor of 16 and n?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w\/w**9*w\/(w**(-8\/3)*w)*w)\/(w**(-1\/13))**(1\/17) assuming w is positive.\nAnswer: w**(-2870\/663)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -8*(1 + -4)\/(-7 - (-3788)\/540). Is 1620 less than or equal to r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -3*a**2 - 90*a + 640. Give j(7).\nAnswer: -137","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -12122121000 (base 3) in base 2?\nAnswer: -11011001010001000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ssshshshhs. What is prob of sequence hhs?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = h**3 + 20*h**2 + 18*h - 12. Let a be x(-19). Let f(j) = 2*j**2 + 13*j - 69. Is f(a) a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 1 + -53?\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -2 - (-3)\/(6\/8). Suppose 0 = -4*d - 2*d + 30. Suppose -d*t + 3*r + 2*r + 5 = 0, 4*t - r - 10 = 0. Solve -t*c = -c + f for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = y**3 - 23*y**2 + 61*y - 32. Let d be k(20). Is -1\/4 bigger than d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.02, 3\/2, -0.04?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 5 - (23 + 3 + -32 + (6 - 0))\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 23\/280872 and 149\/36?\nAnswer: 280872","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 3299.398 nanometers?\nAnswer: 0.003299398","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 144662 is divided by 236.\nAnswer: 230","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 63 divided by 25.\nAnswer: 63\/25","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2 (base 12) to base 11.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 681?\nAnswer: 3, 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -52*c - 21 - c**2 - 57*c - 60*c + 170*c. Determine l(0).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (0 - -2) + -6 + (-4 - -7)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 7\/6 of a century?\nAnswer: 1400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 14754392857 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*n + 9 - 1. Let z = 10 + -11. Sort z, n, -4 in decreasing order.\nAnswer: n, z, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence iji when three letters picked without replacement from iijiiiiijij.\nAnswer: 28\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (2 - 17)*(-99)\/5?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 4 + 200409*t - 299*t**2 - 200409*t as x*t + p + s*t**2 and give p.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 16*t**5 - 149*t**4 - 122*t**2 - 5*t - 1?\nAnswer: 960*t**2 - 3576*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3044983, -12179924, -27404833, -48719716, -76124579, -109619428, -149204269?\nAnswer: -194879108","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = z + 3. Let k be b(0). Suppose k*t - 2 = 2*t. Let 0 + 1\/4*a**3 - 1\/4*a**t + 0*a = 0. What is a?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -c**3 + 6*c**2 + 13*c + 29. Let r be a(8). Solve 0 = r*p + 2*l - 7, -2*p + 4*l - 2 = -0*p for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 7, f: 4, x: 3}. What is prob of sequence axaf?\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 5 - 8. Let q = a + 2.9. Suppose 10 = -2*t + 32, 3*c = -11*t + 6*t + 73. What is the closest to 1\/4 in c, q, 4?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = g + 2. Let p = -26 - -23. What is the remainder when (p + (-20)\/12)*-6 is divided by h(3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(42)\/(sqrt(6) - sqrt(6)*3) + sqrt(14)\/sqrt(50))**2.\nAnswer: 63\/100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (4716\/(-168))\/(1\/(-2) - 0). Let c = 9839\/175 - z. Let d = 3 + -2.9. Which is bigger: c or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 1, j: 1, d: 1, b: 1, x: 2, y: 1}. Give prob of picking 1 y and 1 b.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 177 is divided by 37?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 29.270572 to two decimal places.\nAnswer: 29.27","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -113013 (base 4) in base 12?\nAnswer: -a33","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x - 28 = -236. Let z be (-1)\/4 + (-117)\/x. What is the nearest to -1 in z, -5, -1\/5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3)\/(-30)*((-875)\/(-14))\/(-25).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, 0, 1, -3 in ascending order.\nAnswer: -3, 0, 1, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.271 - -7.311. Let a = l + -7. Let m = a - 0.0400045. Round m to 6 dps.\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 396\/55*15\/6. What is the greatest common divisor of h and 26?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (sqrt(22) + 1*sqrt(2662))\/(sqrt(4)\/(sqrt(6)\/sqrt(3))).\nAnswer: 4 + 12*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9*-0.0443.\nAnswer: -0.3987","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 17*i**2 - 13*i**2 - 2*i + i - 3 to the form s + g*i**2 + c*i and give c.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 13243220 - 1?\nAnswer: 13243214","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p = 2*a + 4, 2*a = 4*a + 6. Let d be (5\/2 - p)*0. Solve d*o = -4*o - 8 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*k = 8*k + 10 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = s**3 + 40*s**2 + 37*s - 9. Is 3 a factor of i(-39)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 15, l: 5}. What is prob of sequence illl?\nAnswer: 5\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 18 and 11841.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -w**3 + 5*w**2 - 2*w + 4. Let j(b) = -310*b**2 + 5*b + 6. Let r be j(-1). Let p = -304 - r. Give n(p).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 28\/120 + 5\/(-75)*-9?\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 41\/55 + -357\/110. What is the nearest to -20 in -3\/7, 1, d, -1\/7?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f**3 + 4*f**2 - 22*f - 24 = 0. Calculate f.\nAnswer: -4, -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*b = 11*b - 1867. Is b prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(14)\/sqrt(7) + -1 + 4 + (sqrt(6) - (sqrt(6) - sqrt(216)))\/sqrt(3))**2.\nAnswer: 24*sqrt(2) + 41","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 212642514 (base 7) to base 15\nAnswer: 11acda6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 41 minutes before 10:09 PM?\nAnswer: 9:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1204260*n**4 + 13*n**3 + 45850174*n**2 wrt n?\nAnswer: -28902240*n + 78","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 338884694?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 2955187545 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -2*i - 4. Let x be m(-3). What is the common denominator of (30\/(-28))\/(1\/x) and 39\/8?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3700*n**4 - 1745*n**3 - 2115*n**2 + 20*n + 140 = 0. What is n?\nAnswer: -2\/5, -14\/37, 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 6 - 1*(3 + -1). Suppose 57 = 5*s - 2*t + 3*t, 2*s - 12 = -b*t. Calculate the remainder when 35 is divided by s.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -17 + 65. Suppose -f = 2*k - 5*k. Suppose 0 = -4*u + 20, 0 = -2*g + 5*g - 4*u - k. What is the tens digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -20 (base 3) to base 4.\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 184891430?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) be the second derivative of -w**5\/20 - 2*w**4\/3 - 4*w**3\/3 - w**2 + 2*w. Let v be u(-7). Which is the nearest to 1\/4? (a) v (b) 0.5 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s + j - 3434 = 0, 2*s + 2*j - 1372 = -0*s. Let z = s + -500. What is the remainder when z is divided by 38?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -n**2 + 21*n - 7. What is l(21)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*v**4 - 4*v**4 + 5*v**4)*(-27*v - 38*v - 12*v) + (3*v**4 - v**4 - 3*v**4)*(0*v + 5*v - 3*v).\nAnswer: 152*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -7*w + 31. Let b be f(10). Let g = 42 + b. Solve -3*v - 5*o = 20, -g*v - o = 1 + 3 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 19636638 and 12201?\nAnswer: 1743","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r - 143 = 5*a, 3*r - 144 = 5*a - 33. Suppose 3*d - d = r. What is the units digit of d?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2236973 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**(-3\/2)*d*d)**(-19\/3)\/(((d**(-29\/3)\/d)\/d)\/d*((d*d**(-30))\/d)\/d))**(-2\/61) assuming d is positive.\nAnswer: d**(-81\/61)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 63 = 58*l - 53. Suppose 199 = -l*s + 203. Solve -3*o = -2*q + s, 7 = 3*q + 2*o + 4 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i = -3*w - 15, 0 = -5*i + 3*w - 8 - 4. Let z(f) = f**2 - 2*f + 1. Let n be z(2). Let r(m) = -2*m - 1. Let a(c) = -c. Calculate i*a(g) + n*r(g).\nAnswer: g - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -6 or 15?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:27 AM and 10:37 AM?\nAnswer: 430","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -1665326 (base 12) in base 2?\nAnswer: -10001100110000110001110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 86 + -89.35. Let n = 0.75 - h. Let j = 4 - n. Do -0.2 and j have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 151978282 to the power of 1\/2, to the nearest integer?\nAnswer: 12328","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0 + 0.4. Let w be (2\/6)\/(4\/(-9)). Which is the second biggest value? (a) r (b) 3\/5 (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3\/8, 0, -0.0016, 7, -3\/2 in increasing order.\nAnswer: -3\/2, -3\/8, -0.0016, 0, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 f when two letters picked without replacement from ftfftfffffftbffttf.\nAnswer: 22\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -764a00 (base 11) to base 2\nAnswer: -100101010010001101001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 23289?\nAnswer: 3, 7, 1109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b + 6 - 2 = -4*z, 5*b + 20 = -5*z. Let i = b - -5. Solve 0*d**2 - 7*d**i - d - 2 - 2*d + 12*d**2 = 0 for d.\nAnswer: -2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2257 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 0.14197*0.0762\nAnswer: 0.010818114","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (0 + -1 - -1)\/(-1). Let k(m) = -2 + 27*m + 22*m**2 + v - 28*m. Let g be k(-2). Calculate the greatest common divisor of g and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 65\/(-7) - -9 - 36\/(-77). Suppose y + 2 = 4. Which is the nearest to 1? (a) 0.3 (b) y (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zaaajaz. Give prob of picking 2 a.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -p + 18. Let u(f) = f - 9. Let z(k) = 3*j(k) + 5*u(k). Let w be z(-4). What is the greatest common divisor of 1 and w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 114, 144824, 0.1, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 103 minutes before 6:43 PM?\nAnswer: 5:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 - (4 + (3 - 6)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = 2*r - 13. Determine v(17).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -16*h + 17*h + 4. Let t(g) = -21*g + 28. Is 14 a factor of t(h)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*-1*(((sqrt(600)*1)\/sqrt(6))\/(sqrt(14)\/(sqrt(28)\/sqrt(4)*1 + sqrt(7))))**2.\nAnswer: -200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 128 is divided by 26?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 6197208504 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r = -43 - 11. Let n be (2 - 10\/4)*r. Determine q, given that -n + 28*q + 0*q + 17*q**2 + 19*q**2 + 19 = 0.\nAnswer: -1, 2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9466375?\nAnswer: 5, 75731","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Do -119056 and -119057 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -222 - -225. Suppose -5*s + 1385 = -5*o, 4*o = b*o + 5. Does 47 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seven halves of a kilogram in grams?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 2 - (2 - (105 - 1)). Suppose 0 = 101*x - n*x + 402. Is x a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0697243566 to 4 decimal places.\nAnswer: 0.0697","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 255?\nAnswer: 3, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 79270?\nAnswer: 2, 5, 7927","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1976 = -44*q + 40*q. Suppose 0 = -5*z + 66 + q. Let d = 321 - z. What is the tens digit of d?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -73 - -847. What are the prime factors of k?\nAnswer: 2, 3, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = 0*t**2 + 1 - 6*t**2 + 5*t**2 + 1. Let y be s(2). Sort -4, y, -20.\nAnswer: -20, -4, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/3 in -266, 8, 11?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -9 + i**2 + 9. Let r(q) = -6*q**2 + 6*q - 6. Let z(a) = r(a) + 5*x(a). Suppose m - 4*b = -15, 0*m + 2*m + 5*b - 35 = 0. Calculate z(m).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 8893449 to the nearest integer?\nAnswer: 2982","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 16 - 11. Suppose 4*n - j*h = 33, -n + 4*h - h + 10 = 0. What is the units digit of n?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 7598 - 4866939790.\nAnswer: -4866932192","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q\/((q*q**(-1\/6))\/q))\/((q**(-3\/5)\/q)\/q))**(-9\/7)\/(q\/q**(4\/9)*q**(1\/2)*q*((((q\/q**(-1\/3))\/q)\/q)\/q)**(-37)) assuming q is positive.\nAnswer: q**(-21598\/315)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 1686247 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b + 4*n = 26555, 4*n + 5201 = -4*b - 16007. Let s = b + 9898. Is s composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -2*i**2 + 6*i - 6. Let c = -299 - -188. Let m be 148\/c*9\/(-4). What is n(m)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) -3\/11 (b) 0.4 (c) 31 (d) 0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 499961291 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.2 + -0.1. Let y(d) = d**2 + 4*d + 5. Let s be y(-2). Put s, r, -0.14 in ascending order.\nAnswer: r, -0.14, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*a - 23 + 32 = 0. Suppose -s - a = -r, 3*r - 10 = -2*s + 3. Solve -8 = -s*c + 4*w, -4*c - 3*w + 4 = 21 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -c**2 + 82. Let p be r(0). Let z = -684 + 843. Let j = z - p. What is the tens digit of j?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v + 540 = 18*v. What is the units digit of v?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000463096 rounded to 6 dps?\nAnswer: 0.000463","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-6)\/(-4) - 1)*0\/27. Suppose -2*p = -2*t - 2, c = -4*t + t - 4*p + 25. Solve 2*u = t*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -3 or -221\/62?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15*d - 24*d - 343*d - 102*d.\nAnswer: -484*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find l such that -4*l**5 - 1688*l**4\/5 - 33512*l**3\/5 + 121024*l**2\/5 + 1347964*l\/5 + 103544 = 0.\nAnswer: -43, -5, -2\/5, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -375454, -750916, -1126380, -1501846?\n\"Answer: -k**2 - 375459*k + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -112304444 (base 5) to base 15.\nAnswer: -a119e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 204 or 195?\nAnswer: 195","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -17 in 560\/9, 6, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round 126121220 to the nearest 10000.\nAnswer: 126120000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 175*m + 103*m = -233*m - 1022 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:22 PM and 2:29 AM?\nAnswer: 667","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8\/2*(-1)\/(-4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = h + 4. Let m be y(-1). Suppose 0 = m*z + s + 3*s - 436, -1 = -s. Is 36 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 64997114, 64997112, 64997110, 64997108, 64997106, 64997104?\n\"Answer: -2*y + 64997116","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -27, -52, -117, -246, -463, -792, -1257?\n\"Answer: -4*m**3 + 4*m**2 - 9*m - 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 780*d**2 - 807*d**2 + 73*d**5 - 21*d**5 wrt d.\nAnswer: 3120*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-16)\/(-12)*1\/(-60). Is -1 bigger than g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 74.784227 and 1.\nAnswer: 74.784227","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -5, -1, 5 in decreasing order.\nAnswer: 5, 2, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -q**3 - q**2 - 1. Let j(b) = 8*b**3 + 10*b**2 + 12. Let l = 13 - 3. Determine l*c(s) + j(s).\nAnswer: -2*s**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) be the first derivative of -3 + 1\/2*p**2 - 7*p. Calculate f(5).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = h + 24. Let r be y(-20). Suppose -376 = 3*c - 5*c + 3*j, 0 = -r*c + 4*j + 748. Let b = 317 - c. What is the hundreds digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1.5 + 0.42. Let r = w + 0.08. Let f = -1 - r. Put 0.06, 2\/5, f in increasing order.\nAnswer: f, 0.06, 2\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = 2361*w + 531222. Determine k(-225).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 16325\/1581 - -4\/527. Let a(m) = 29*m - 4. Let f be a(-1). Let j = 42 + f. Which is smaller: j or p?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (1\/(-2))\/((-10)\/(-120)). Let s(k) = -6*k - 13. Let h be s(w). Differentiate h*v - 23*v - 10 - v**4 wrt v.\nAnswer: -4*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = 3*b**3 + 68*b**2 - 177*b + 65. Calculate r(-25).\nAnswer: 115","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 573437253 to the power of 1\/7, to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -402023 + 25302?\nAnswer: -332321","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -24, -1.6, 4, -0.1, 73 in descending order.\nAnswer: 73, 4, -0.1, -1.6, -4, -24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 + (-6 - (0 + -11)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k**4\/9 + 8*k**3 + 308*k**2\/9 - 32*k - 144 = 0. What is k?\nAnswer: -9, -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 512 is divided by 103.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = z**2 + 2*z. Let y be g(-2). Suppose -c = -2*b + 15, -c + 0*c = b. Solve m - 6*m - b = y for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -y + 44. Let r(b) = -6*b + 242. Let x(w) = 11*a(w) - 2*r(w). Suppose -6*c + 10 = -c. Let o(z) = 7*z**2 + 2*z**2 + 6*z**c. Calculate o(x(f)).\nAnswer: 15*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 45198, 90396, 135594, 180792, 225990, 271188?\n\"Answer: 45198*z","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 294 - 192. What is the units digit of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 76061934?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor p**4\/4 + 709*p**3\/4 - p**2\/4 - 709*p\/4.\nAnswer: p*(p - 1)*(p + 1)*(p + 709)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((i**22*i)\/i)\/(i\/(i\/i**21)))**(3\/14) assuming i is positive.\nAnswer: i**(3\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-225)\/(-6)*1386\/(-693))\/(-2)*(-8)\/(-5).\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 5546454, 5546448, 5546442?\nAnswer: 5546436","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 79550 a multiple of 246?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*s**5 + 20*s**4 - 48*s**3 + 4*s**2 + 46*s - 24.\nAnswer: 2*(s - 1)**3*(s + 1)*(s + 12)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 6, 1\/2, 0.04, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 4.83 - 1.83. Sort -0.83, h, 4, -4 in ascending order.\nAnswer: -4, -0.83, h, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -1885*j + 7613. Let b be f(4). Solve -4 = 11*z + b for z.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (((-41)\/1148*14)\/((-1)\/(-48)))\/38\nAnswer: -12\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 2 - 808e?\nAnswer: -808c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1233445 and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 17 + -17.31. Let d = y + -0.19. Which is the third smallest value? (a) 2 (b) d (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15131266 a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 45730, 90357, 134984, 179611, 224238?\nAnswer: 268865","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -30*l**2 - 491*l**3 + 3*l**3 + 50*l**2 - 54 - 20*l**2 wrt l?\nAnswer: -1464*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/2 in -2, 0, 4\/5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find j such that 4*j**2\/9 + 104*j\/9 - 116\/3 = 0.\nAnswer: -29, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -153960 to the nearest 1000.\nAnswer: -154000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(252) - (sqrt(252) + (sqrt(252) - sqrt(252)*-2)*4))\/sqrt(6))\/((sqrt(6) - -5*sqrt(72)\/sqrt(12) - sqrt(6))*3) + 0.\nAnswer: -4*sqrt(7)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = 46*c**2 + 2*c + 2. Let m(p) = -p**2 - p - 1. Let s(w) = l(w) + m(w). Let n be s(-1). Is 14 a factor of n + 6 + (1 - 5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0080423 to 3 dps.\nAnswer: 0.008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -837381300 to the nearest one million.\nAnswer: -837000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1*-4 + 0\/6. Let f be 5\/4 - 3\/h. Factor -3 + 5 + 2*n**f + 2 + 6*n.\nAnswer: 2*(n + 1)*(n + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) be the third derivative of g**7\/105 + 1219*g**6\/120 + 1845*g**3\/2 - 6*g**2 - 173. What is the first derivative of f(p) wrt p?\nAnswer: 8*p**3 + 3657*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y - 14*k + 28 = 0, 0 = -4*y + 11*k - 12*k + 2. Let h(g) = 2*g - 135. What is h(y)?\nAnswer: -135","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = 13*a + 243. Let f be r(-19). Sort 0.3, 1.2, f, 0.4 in ascending order.\nAnswer: f, 0.3, 0.4, 1.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -5\/7 (b) 3 (c) 5\/7 (d) 0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d = -29 + 11. Let t(y) = 4*y + 8. Let m be t(d). Calculate the greatest common factor of m and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -61*f. Let c(i) be the first derivative of -2*i**3\/3 - 69. Determine c(s(h)).\nAnswer: -7442*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 3, -730, 259, -5, -3 in descending order.\nAnswer: 259, 3, 1, -3, -5, -730","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1946?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 89\/2277093 and -85\/525483.\nAnswer: 6831279","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -175307, -1402513, -4733509, -11220191, -21914455, -37868197?\n\"Answer: -175316*l**3 + l**2 + 3*l + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: Differentiate -41645*a*m**2 + 33295068*a + 2*m**4 - 34*m**2 with respect to m.\nAnswer: -83290*a*m + 8*m**3 - 68*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -25.4 + 25. What is the third smallest value in 4, p, 1\/3?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 0 + 12 + 3 + 4. Let k = 32 + m. What are the prime factors of k?\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2456394\/25 or -98257?\nAnswer: -2456394\/25","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n**(-1)\/(n**(1\/10)*n*n)*n**(2\/5)\/n**(-3\/2) assuming n is positive.\nAnswer: n**(-6\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2844 and 225.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*f + 6*f - 4*f)*(-21 + 18 - 39)*(-1 + 5 - 1) + (f + 0*f - 2*f)*(3 - 1 - 4).\nAnswer: 254*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -7.78 * 0.2\nAnswer: -1.556","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + (-104)\/(-247)*-5?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -172915 divided by -5?\nAnswer: 34583","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 46 + -45.8. Which is the second biggest value? (a) 0.5 (b) -0.01 (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10812251 to the power of 1\/5, to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (252\/14 + -15)\/(1\/180).\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*f + 8 = 12 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1*1659\/42)\/((-67)\/(-134)).\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -f + 6. Let i be m(-5). Suppose -5*s - 35 = -10, 3*w = -4*s - i. Find the first derivative of -w + 1 - 2*y**4 + 1 wrt y.\nAnswer: -8*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -2*x**2 - 131*x + 405. Calculate p(3).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-577034)\/4540 - (1\/2 + (48\/(-40))\/2).\nAnswer: -127","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -9\/176 and 31\/144?\nAnswer: 1584","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*v + o - 41, -3*v = -6*v + o + 31. Suppose -8 + v = 2*w. What is the second derivative of 14*u - 20*u**2 + 9*u**w + 11*u**2 + 3*u**5 wrt u?\nAnswer: 60*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -17\/27 + -1\/27. Let x be (5 + -1)\/((-4)\/2). Let n = x - -6. What is the biggest value in 2\/7, n, d?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 100 (base 2) to base 8.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*f + 4*b + 45 - 29 = 0, 3*b + 12 = 4*f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1.942732628742 - -9.8.\nAnswer: 7.857267371258","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1132*s - 551*s - 550*s.\nAnswer: 31*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 89 + -12. Let f = 120 - v. Is f prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.7736 and 0.34862811.\nAnswer: -0.42497189","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 66*z = -206*z - 154*z - 17040 for z.\nAnswer: -40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 - (0 - (4 + (-5 - 4)))?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 218 a factor of 54278?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o = 2*o - 2. Suppose -h - 4*r = 4, o = 5*h + 2*r + 4. Solve -3*a + h*a = -9 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 + (-68 - (-11 - 12)) - -12?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 70.6 - 66.9. Let l = 0.16 + -3.76. Let v = n + l. Sort 2, v, -0.3 in decreasing order.\nAnswer: 2, v, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -86 divided by -5?\nAnswer: 86\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.003403991 to four dps.\nAnswer: 0.0034","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3989633 - 15617633. What is z rounded to the nearest 100000?\nAnswer: -11600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -10 + 18. Let w be (u - 10)\/(12\/15). Sort w, 2, 0.3 in decreasing order.\nAnswer: 2, 0.3, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (j + j - 4*j)*(j**2 + 0*j**2 + j**2) - 2*j**3 + 3*j**3 + 0*j**3 - 98*j**3 + 0*j + 108*j**3 + 1 - 2*j.\nAnswer: 7*j**3 - 2*j + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 29 + -51. Let m = 43 - x. What is the units digit of m?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d**3 + 64*d**2 + 448*d = 0. Calculate d.\nAnswer: -56, -8, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -592 (base 12) to base 11\nAnswer: -695","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -3\/4298 not equal to -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = 3*d**2 + 49*d - 284. Give r(11).\nAnswer: 618","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 107\/3, 4, -0.5, 2 in increasing order.\nAnswer: -0.5, 2, 4, 107\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*g - 2*g + 0*g in the form a*g + z and give a.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 12\/6 - (-6)\/(-2). Let m be n + 2 + (10 - -1). Let b = m - -2. Does 6 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 899 - 30589\/34. Let i = -3\/17 - o. Factor 1\/2 - 1\/2*g**2 - 1\/2*g**3 + i*g.\nAnswer: -(g - 1)*(g + 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 47 and -3785.29.\nAnswer: -3738.29","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -125 + 129. Suppose 0 = -3*l - z - 5, -4*l + 2*z + p = 6*z. Is 4\/((-5)\/(-5)) - (-244 + l) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -354 + 13453\/38. Let d = -67\/342 - i. Let j = 0.7 - 1. Which is the closest to d? (a) -1 (b) 4 (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -x**3 - 5*x**3 + x + 680324*x**2 - 680089*x**2 as u*x + q*x**2 + k*x**3 + r and give u.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 266 minutes after 6:12 PM?\nAnswer: 10:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 5\/(15\/12)*-1. Let j = -59.7 + 60. What is the biggest value in d, 1\/10, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = 3*p**2 - 9*p - 64. Determine a(-8).\nAnswer: 200","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 16215429 + -9256849. Let f = j - 6958588.999998. Let t = f - -9. What is t rounded to 5 decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i + 4*d - 1 = 0, 2*i + 4*d - 28 + 30 = 0. Let b(x) = -7*x**2 - 26*x - 6. Calculate b(i).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -4, 0.003, 1, -2\/21, -5?\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*l - w = 3, -4*w - 15 = -4*l - 19 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = 21*n**2 + 8*n + 40. Give z(-4).\nAnswer: 344","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-9)\/((-162)\/30)*(-2058)\/(-245).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*j**4 - 2*j**4 + 6*j**4 + (-j**4 - j**4 + 0*j**4)*(5 + 0 - 4) + j**2 - 2 + 5*j**3 - j**4 + 6*j**3 - 9*j**3.\nAnswer: j**4 + 2*j**3 + j**2 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = c**3 + 7. Let h be 25\/(20\/4) + -5. Let v be i(h). Suppose -36 = -v*k - 8. What is the units digit of k?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o - 2*o = -8. Let d(s) = -15*s + 10*s**3 - 8*s**o - 2*s**2 - 11*s**3 - 20. Calculate the remainder when d(-9) is divided by 19.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -14 + 0*q + 14 - 33*q**2 - 2*q as k*q + i*q**2 + g and give i.\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3015 - 3012. Solve 3*b + 5*v = -19, 2*v - 1 = z*b - 2*v for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*(sqrt(117) - sqrt(117)*2) - sqrt(117) - sqrt(117))*-5*3)\/(-6*sqrt(36)\/(sqrt(4) + sqrt(4) + sqrt(4)*2 + sqrt(4))*6).\nAnswer: 25*sqrt(13)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 591957 to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.2 - 73.\nAnswer: -73.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*i + 2 = -4*u, -468*i + 472*i = 5*u - 30 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = 3*h - 22. Suppose -h*u = -183 - 173. Suppose 0 = -5*b + 81 + u. List the prime factors of b.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 5\/82 and 43\/5?\nAnswer: 410","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -35, -68, -99, -128, -155?\n\"Answer: i**2 - 36*i","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-100)\/10 - 17) + -19.\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2044 + 6131 - 2044 + 2955*u**2 - 2043.\nAnswer: 2955*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-84)\/168)\/((-1)\/(-4)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:12 PM and 12:01 AM?\nAnswer: 709","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1495727 to the nearest integer?\nAnswer: 114","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = 33 - 274*m - 7 + 562*m - 292*m. Give c(10).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 4\/(-12) + 872\/(-12). Let s = -69 - c. Solve 10 + 2 = s*m for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -23 - -21. Which is the second biggest value? (a) f (b) -3 (c) 23\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -q**2 - 21*q - 11. Let b(n) = -n**2 - 24*n - 12. Let z(x) = -5*b(x) + 6*v(x). Give z(-3).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1330 to the power of 1\/2, to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = j**3 - 18*j**2 - 19*j + 11. Let s be c(19). Suppose -15 = s*p - 12*p. Is p a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 2\/53 and -20964\/19 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = 20*z + 182. Let y be g(-9). Solve -3*l + 5 = -2*b, -3*b - 6*l + y*l = 16 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d + 80 = 29. Let y = 26 + d. Calculate the greatest common factor of y and 45.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j**(-12)*j\/((j\/j**20)\/j) assuming j is positive.\nAnswer: j**9","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -81 divided by 4.\nAnswer: -81\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 98 a factor of 123088?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = 4*x - 18. Suppose -2*a + 3*a - 4*f - 5 = 0, -1 = -2*a - f. Differentiate a + 4 + x*c + 3*c wrt c.\nAnswer: 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 148 and 2928?\nAnswer: 108336","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 1, l: 2, e: 1}. What is prob of picking 1 e and 1 l?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -105997, -205123, -304247, -403369?\n\"Answer: s**2 - 99129*s - 6869","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**(2\/31)\/(w**(-30)\/w) assuming w is positive.\nAnswer: w**(963\/31)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-6)\/(4 - 5) + -1. Suppose -581 = -2*v - p*v. Let s = v - -151. Does 26 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -11598, -11721, -11844, -11967, -12090?\n\"Answer: -123*a - 11475","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*o**3\/3 - 20*o**2 - 8*o\/3 + 80 = 0.\nAnswer: -2, 2, 30","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = 32*s + 91. Is x(27) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 16\/(-20)*15\/6. Let q be j\/11 - (-20)\/110. Let o = 2 - q. Solve -o*p - 2*p = -12 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 463590 and 33?\nAnswer: 5099490","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v - 3*t = 11, 1 = 4*v + 2*t - 1. Find the second derivative of -4*j**2 - j - 3*j**v + 3*j**2 wrt j.\nAnswer: -8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 6*((-4)\/3 + 2). Suppose 0*j - s*j + 4 = 0. Suppose -2*n + 3*n - j = 0. What is the units digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.0171 greater than 0.17?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 196 divided by 2\nAnswer: 98","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = n - 10. Let t = 20 + -9. Let v be w(t). Calculate the lowest common multiple of 5 and 0 + 9 + 2 - v.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -73377, -293757, -661069, -1175319, -1836513, -2644657, -3599757?\nAnswer: -4701819","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 196846377?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*l**2\/4 - 1355*l - 184305\/4.\nAnswer: 5*(l - 1117)*(l + 33)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 less than or equal to 35\/16?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.1 or 165.862?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -7*x + 8 - 6 - 16. Let l be n(-6). What is the greatest common divisor of l and 224?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor g**2\/2 + 17*g\/2 - 19.\nAnswer: (g - 2)*(g + 19)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s - 3 = -u, u + 0*u - 3 = -3*s. Suppose 3*h - 9 = -u. Suppose -6 = y - h*y. List the prime factors of y.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13.4 - 96.\nAnswer: -82.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -5 or -140\/39?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r + 85 = 3*f, 0 = -f + r - 0*r + 31. Suppose -y + f = 12. Is 12 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -197479 - -326574. Is a prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in 59\/4, 5, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -9 and 9558.\nAnswer: -86022","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1258, -2515, -3770, -5023, -6274, -7523?\nAnswer: -8770","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 0.1+-19849691\nAnswer: -19849690.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (2\/(-4))\/((-16)\/4704) is divided by 20\/(-8)*(-12 - -2)?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange r - 5*r + 4*r + 37*r**3 + (-31*r**2 - 2*r**3 + 31*r**2)*(1 - 4 + 5) to p*r**3 + u + j*r + c*r**2 and give c.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -56.4, -3, 2\/21, 65?\nAnswer: 65","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -12 (base 4) to base 10.\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 30 a factor of 242815478?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (2\/(-1))\/((-8)\/12). Suppose 0 = a - j*q - 27, 12 - 38 = -a + 2*q. Suppose 4*g - a = 2*g. What is the smallest common multiple of g and 8?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 2, q: 3, p: 3, g: 12}. What is prob of sequence qo?\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2 + (80\/(-9))\/4. Let y = -11 + 16. What is the third biggest value in t, 4, y?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -u + 5. Let r be (-5)\/3*3*-1. Let w be o(r). Suppose -q - 2*q = w. Put 5, -3, q in increasing order.\nAnswer: -3, q, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert a3 (base 13) to base 3.\nAnswer: 11221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -10 - -7. Let j(l) = 7*l + 4. Let y(r) = 7*r + 3. Let d(t) = v*j(t) + 4*y(t). Let z(n) = 238 - 238 + 2*n. What is d(z(s))?\nAnswer: 14*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 66706*z**3 - 2267 - 2266 + 6798 - 66705*z**3 - 2265.\nAnswer: z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2.492 + 2.092. Sort 5, -0.04, -0.2, s, -5.\nAnswer: -5, s, -0.2, -0.04, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.0095 - -5.2385. Let m = k - -0.852. Which is smaller: m or -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = i**2 - 3*i + 3. What is the remainder when x(3) is divided by (2\/4)\/(1\/2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) be the first derivative of 3*c**2\/2 - 2*c - 5. Calculate the remainder when 38 is divided by o(5).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4105 to the power of 1\/9, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r = -2*i + 11 - 1, 2*r = -8. Suppose 3*g - 8474 = 9751. Let q be (20\/15)\/(i\/g). Round q to the nearest one thousand.\nAnswer: -8000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*p = -3*p - 28 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*x + 0*x + 13*x)*(12 + 25 - 23).\nAnswer: 238*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1237 + 9813\/8. Find the common denominator of u and -75\/14.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3\/5, 441\/29, 2\/9 in descending order.\nAnswer: 441\/29, 2\/9, -3\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 10*j**5 - 2*j**3 - 3870*j**2 - 149469*j?\nAnswer: 200*j**3 - 12*j - 7740","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 23, 4, -1 in ascending order.\nAnswer: -1, 4, 23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = t**3 - 16*t**2 - 18*t - 275. Give v(17).\nAnswer: -292","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve j + 40 - 43 = 0 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -18725927 - -18725833.99933. Let w = 93 + a. What is w rounded to 4 dps?\nAnswer: -0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o = -8 + 2. Let z = -2 - o. Let q = 8 - 8. Solve i - z - 4 = q for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -45410 + 1?\nAnswer: -45405","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p - 1 = 5*u - 3, 2*u - 2 = 0. Let i be p*-4 + 5 + -23. Let a = 122 + i. What is the highest common divisor of a and 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 165 and 10560.\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-2\/11))**(-16)\/(((r\/(r\/r**3))\/r)\/((r\/(r\/(r**31*r*r)))\/r)) assuming r is positive.\nAnswer: r**(362\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -w**2 + w + 1. Let t be 17 + -10 + 1 + 1. Let n(v) = -2*v + 11*v - 1205*v**3 + 18 - 18*v**2 + 1196*v**3 + t*v. Calculate 18*a(b) - n(b).\nAnswer: 9*b**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1040 + 1047. Let b(k) = -k + 2. Let p be b(-6). Let l = p - j. Which is bigger: 7 or l?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -4 - 1401221121?\nAnswer: -1401221125","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3 times 466?\nAnswer: -139.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -0.161 * -0.05689\nAnswer: 0.00915929","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 16 - 12. Suppose 0 = -r - 0*r - 2*y + 10, -b*r + 5*y + 14 = 0. Suppose -r*a + 13 + 5 = 0. Solve 2*u = -3*h - 11, -a = 4*u + 4*h + 17 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from dhuuhhzdz. Give prob of sequence uuz.\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q + q = 3*h - 3, 2*h = -2. Suppose -48 = -3*j + 3*n, -2*j + 65 = 3*j - q*n. What is the greatest common factor of j and 121?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 - 8 = -2*z. Let j(f) = 1 + 2 + 3*f**2 + 6*f - 2*f**2. Is j(z) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 104789 is divided by 1269?\nAnswer: 731","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -3 + 43. Suppose 6*d - 2 = 2*v + 3*d, -4*v - 5*d = -c. Solve 0 = -u + v for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.3 (b) -2\/9 (c) -1.9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 272612 and 2448?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = q**2 + 6*q. Let n be r(-6). Suppose n = g + 4*p - 2, -g = g + 2*p - 10. Suppose -g*s + 50 = -s. List the prime factors of s.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1852099.25852 + 1.678?\nAnswer: -1852097.58052","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -6*j*k**3*y**2 - 5*j*k + 3*k**3*y**2 + 2*k**2*y**2 - 3*k**2 - 3*k*y**2 wrt k.\nAnswer: -36*j*y**2 + 18*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -4 (b) -138 (c) -1\/5 (d) -24 (e) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 136.31115ms to minutes.\nAnswer: 0.0022718525","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -185 - -185.5. Suppose 5*f + 166 = 5*b + f, -3*b + 107 = 5*f. Let i = -104\/3 + b. What is the closest to i in 0.3, w, 4?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h - 134 = -4*t, 5*h - 204 = 2*t + t. Suppose -6 = k + 3*j, -4*k = -3*j + 27 + h. Is (310\/k)\/((-4)\/42) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence prc when three letters picked without replacement from {r: 1, c: 3, p: 2, b: 1}.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -733, -3141, -9669, -22387, -43365, -74673, -118381?\nAnswer: -176559","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2455.\nAnswer: 5, 491","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*l = 5*l + 1115. Is l a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 424 minutes after 7:01 AM?\nAnswer: 2:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -40 + -5ad?\nAnswer: -5ed","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -3156 - -3?\nAnswer: -3153","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*sqrt(300)\/(sqrt(10) - sqrt(160)))\/(sqrt(10) - (sqrt(1210) + (sqrt(1210)*2 - sqrt(1210))) - sqrt(10) - sqrt(30)\/(sqrt(6)\/sqrt(2))).\nAnswer: -sqrt(3)\/23","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = 10413759*s + 17 - 837832*s - 92 + 770088*s. Let h be k(5). Round h to the nearest one million.\nAnswer: 52000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10223?\nAnswer: 10223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.1 + 0.2. Let q = 38.17 + -38. Let g = q - -0.03. Which is the biggest value? (a) g (b) -1 (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -44737640 - 19*p - 40*p + 44737640.\nAnswer: -59*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -9? (a) -6 (b) 0.1 (c) -11 (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 76\/8353 or -1?\nAnswer: 76\/8353","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 50 + -41 - (4 - 1). Sort t, -4, 1, 0 in increasing order.\nAnswer: -4, 0, 1, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -94 + 149. Let u be (b\/(-15))\/((-2)\/6). Which is greater: 12 or u?\nAnswer: 12","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2084 + -2066.3. Sort 0, -2\/7, -3, q in decreasing order.\nAnswer: q, 0, -2\/7, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*y + 2*f + 16 = 0, 2*f = 560792*y - 560791*y - 13 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((504\/30)\/(-21))\/(2\/(-20)).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 504114 - -1?\nAnswer: 504115","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -19\/900 and 191\/4069260.\nAnswer: 20346300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: ((-23)\/414)\/((-6)\/(-135))*4\/(-330)\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (((-64)\/30)\/4)\/((-24)\/(-36))\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 296 minutes before 5:47 PM?\nAnswer: 12:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1740157 - 21*t - 1740157.\nAnswer: -21*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -f**5 + 102*f**4 + 2825*f**3 - 362286*f**2 - 370240*f + 729600 = 0 for f.\nAnswer: -57, -2, 1, 80","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b - b = 0. Suppose -3*i = -b*i - 3. Suppose 7*z = -4*y + 6*z - 19, y - 3*z - 5 = 0. Put y, i, -3 in decreasing order.\nAnswer: i, -3, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4.89 + -0.122?\nAnswer: -5.012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -176513 from -18416.\nAnswer: 158097","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jjbjbbbjbb. Give prob of sequence jj.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4050, 4062, 4082, 4110?\nAnswer: 4146","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -35, -8788, 14, 3 in increasing order.\nAnswer: -8788, -35, 3, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -155 + 156. Let j be 60\/4*2\/42. Is j less than or equal to v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*h + 3*h**2 - 14*h + h**2 as c + a*h + j*h**2 and give j.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = 3 + r**2 - 1 - 2*r + 0*r**2. Let p be q(2). Suppose 2*a + 76 = 2*o, 0 = 2*a - a + p. Does 18 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 11 by 102.\nAnswer: 11\/102","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0 + 35. Which is greater: v or 33?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = u**3 + 2*u - 17. Let h be z(4). Let b(a) = 19*a**2 + 11*a**2 - h*a**2. Let y(c) = -c. Calculate y(b(m)).\nAnswer: 25*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u and 1 x when two letters picked without replacement from xxzzzzxuxxzxzzxu?\nAnswer: 7\/60","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -3013.49071 to the nearest 100.\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = w**2 - 14*w - 10. Let t be p(15). Let m(a) = -a**3 + 5*a**2 - 2*a + 5. What is m(t)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26036767 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) be the first derivative of -q**4\/2 - 10*q**3\/3 - 5*q**2 - 6*q - 1. Let y be s(-4). Differentiate -14*d**y + 5 - d**2 + 3*d**2 with respect to d.\nAnswer: -24*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -2 and 3\/221 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9563.943 hours to nanoseconds.\nAnswer: 34430194800000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -761 (base 8) to base 13\nAnswer: -2c3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (12\/12)\/((-39)\/(-13))?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -11*o + 2*o + 3*o + 7*o. Find r such that o*r + 0 + 2\/17*r**4 + 4\/17*r**3 + 2\/17*r**2 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 5 + -11. Let j = p + 6. What is the nearest to 0 in 0.1, j, -5?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j - 59 = 85. Let y be (-16)\/j - 3111\/(-27). Suppose 0 = x + 4*x + y. What is x rounded to the nearest ten?\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 + (1 - -4 - 11)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z = -2*z + 52. Suppose 0 = 3*j - u + z, j + 4 = -j + 3*u. Suppose 5*d = d - 2*s - 16, -2*d + 5*s - 8 = 0. Sort d, j, 5.\nAnswer: j, d, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.3, -5, 0.4, 0.1, -39 in descending order.\nAnswer: 0.4, 0.1, -0.3, -5, -39","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 o and 1 u when four letters picked without replacement from {l: 1, u: 3, o: 3}.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -30*r**2 - 168*r + 70. Let x(b) = -17*b**2 - 94*b + 40. Let z(g) = 9*h(g) - 16*x(g). Give z(3).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 639 and 0.75?\nAnswer: 479.25","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -161681\/16376 + -4\/2047. Let b = 1363\/6 + -228. Find the common denominator of b and i.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -126*d + 15122 - 4688 = -143*d - 124*d for d.\nAnswer: -74","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find c such that -2*c**4 + 1515791*c**3\/3 + 252632*c**2\/3 = 0.\nAnswer: -1\/6, 0, 252632","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -5*d**5 + 5*d**5 - d**5 + 6*d + 3*d**5 wrt d.\nAnswer: 40*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -b. Let g(o) = 1 + o - 3*o + 3*o - 5*o. Let u(s) = s**3 + 7*s**2 - 6*s + 10. Let c be (-1)\/4 - 62\/8. Let x be u(c). Calculate x*k(q) + g(q).\nAnswer: 2*q + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2.4 + -0.4. Let p = 231.8 + -232. Which is the closest to -1\/2? (a) 0.3 (b) x (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 151 divided by -1\nAnswer: -151","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r + 2*s = 2*r + 8, -20 = -5*r + s. Let h be 1*-11*(-4)\/r. Let d(m) = m + 2 + 9 - h + 1 - 3*m**2. What is d(-1)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 31914 is divided by 1229.\nAnswer: 1189","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:30 PM and 2:41 PM?\nAnswer: 11","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -259, -330, -401, -472, -543?\n\"Answer: -71*v - 188","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ikikikqgkgq. Give prob of sequence kggk.\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (-1*sqrt(384))\/(sqrt(12)*2).\nAnswer: -2*sqrt(2) - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (2\/3)\/(7*2\/294). Suppose -2*q + 8 = -0*q. Find the second derivative of -3*p - 12*p**5 + z*p**5 + q*p wrt p.\nAnswer: 40*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -521 - -25?\nAnswer: -4da","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 4087 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(2 + sqrt(567) + 4 - 2*(sqrt(567) + 0))**2.\nAnswer: -3015 + 540*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-22)\/187 + 1118\/(-34).\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*x - 2 = -2*l - 4, -3 = 3*l - 2*x for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -50*n**2 - 54*n**2 - 54*n**2 + 159*n**2. Let d(z) = -165*z**2 + 1. What is g(d(q))?\nAnswer: 27225*q**4 - 330*q**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 4*x + 2*v, v = -6*x + 3*x. Let l = x - -5. Calculate the smallest common multiple of 10 and l.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 11297 + -1242643\/110. Calculate the common denominator of 8\/5 and j.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -0.12, 5\/17, -616\/23 in ascending order.\nAnswer: -616\/23, -4, -0.12, 5\/17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) be the second derivative of -17*f**4\/12 - 5*f**3\/6 + 4*f**2 + 44*f. Let h be m(3). Let o = 58 - h. Is 14 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -aac9 (base 15) to base 4\nAnswer: -20311131","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) be the first derivative of -63*s**4\/4 - s**3 + 3*s**2 + 2. Determine j so that p(j) = 0.\nAnswer: -1\/3, 0, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -2000*k**2 - 22002*k - 29. Give t(-11).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.17 - 0.33. Which is the third smallest value? (a) z (b) -4\/5 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-37)\/(-3) - (-133)\/(-57). Calculate the highest common factor of j and 40.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -13, -32, -51, -70?\n\"Answer: -19*m + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r = 4*a - 15, -4*a = 2*r - 6 - 4. Suppose 3*g = -5*j + 29, j + 4*j = r. Suppose -8*f + 7*f + g = 0. Calculate the lowest common multiple of f and 36.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1580920642?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21 = -3*i + 48. Suppose -23*m + 387 = 387. Suppose 14*h = 26*h - 216. Solve -3*b + 5*z + i = -b, -2*b - 4*z - h = m for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*v = -20*p + 15*p - 8, -5*p - 16*v = 25*v - 164 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 167*a - 6 = 168*a, -4*a = w + 29. Sort 0.2, 31, w, -2.\nAnswer: w, -2, 0.2, 31","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -349, -256, -163, -70, 23, 116?\n\"Answer: 93*y - 442","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/8, 2.0895, 3 in decreasing order.\nAnswer: 3, 2.0895, 1\/8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 21\/2 of a litre?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0008793213 rounded to six dps?\nAnswer: 0.000879","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-56)\/40)\/(2\/(-10)). Suppose -4*z = -r*z - 6. What is the units digit of 2 + -1 + (29 - z)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 945 a multiple of 35?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -2 - 6\/(2 + -4). Let f(g) = 18*g**2 - 12*g - 15. Let x(a) = -a**2 + a + 1. Let n(t) = v*f(t) + 15*x(t). Suppose n(c) = 0. What is c?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*m + 654*m + 24526*m**2 - 24527*m**2 in the form x + s*m**2 + g*m and give g.\nAnswer: 657","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-20)\/(-3))\/(6\/18). Suppose -2*o = 3*o - l. Let d = 0 + o. Which is the biggest value? (a) 5 (b) d (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 286 + -286. Suppose 5*z + 3*s - 29 = k, 0 = -11*z + 14*z - 4*s. Suppose -14\/11*i**2 - 4\/11*i + 14\/11*i**z + 4\/11*i**3 + 0 = 0. What is i?\nAnswer: -1, -2\/7, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0 + -0.1. Let n be (-6)\/9 - 248\/(-279). Which is smaller: n or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = m**3 + 2*m**2 - 7*m + 4. Let l be p(-4). Suppose l*h = h. Solve 3*r - 5*r + 5*g + 10 = h, 5*r - 25 = g for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -38\/1969 and 89\/16?\nAnswer: 31504","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = 2*a. Let l(b) = 50814*b**2. Give m(l(r)).\nAnswer: 101628*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p*p*p*p**(-6)*p*p*p\/(p\/(p**(-1)\/p*p)*p)*(p*p*p\/(p*p\/(p*p**(-2\/3))*p))**4)**35 assuming p is positive.\nAnswer: p**(-175\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 24995?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 56 is divided by 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f*f**(7\/4))\/((f\/(f**(6\/7)\/f))\/f))\/(f**(2\/17)*f*f**(-25)) assuming f is positive.\nAnswer: f**(12609\/476)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -1646438*a - 1. Let j be s(-5). Let x(l) = 132337*l**2 + 150*l - 11. Let p be x(-10). Let o = p - j. Round o to the nearest 1000000.\nAnswer: 5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 36 is divided by ((-20)\/(-3))\/((8\/3)\/4).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -n**2 + 17*n - 54. Let g be x(11). Suppose -f = f + 4. What are the prime factors of (13\/f)\/(1*(-3)\/g)?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2*((-1)\/3)\/(9*16\/(-792)).\nAnswer: 11\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0901079 rounded to 3 dps?\nAnswer: 0.09","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = o**2 - 14*o + 6. Suppose -2*y - 5*r + 0 = -3, 0 = 2*r + 10. Calculate n(y).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 6300000 to the nearest 1000000.\nAnswer: 6000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.069 - -0.118. Let o = 0.024 - 0.011. Let n = o + r. Which is the second biggest value? (a) -0.24 (b) n (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9\/12*(-6)\/(-36)?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 5.136491 microseconds?\nAnswer: 0.005136491","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -29664168 divided by 1.\nAnswer: -29664168","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 3380 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -113\/36270 and 83\/4680.\nAnswer: 145080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Work out 5 * -2495.76.\nAnswer: -12478.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.3 and 13598.\nAnswer: 13597.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2 or 3729857\/2?\nAnswer: 3729857\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = 4693*z**2 - 229*z + 11. Is q(9) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 6904462, 13808935, 20713408?\nAnswer: 27617881","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x - 3*i + 2 - 4 = 0, -x + 4*i + 2 = 0. Suppose -6 = -6*t + 84. Solve -5*h + 13 = 5*j - x, 0 = -5*j + t for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*b - 72 = -63 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-2)\/(-13) + (-4 - 96\/(-26)). What is the smallest value in 5, 0, 1, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xxxnnxknnaxxxax. Give prob of sequence kan.\nAnswer: 4\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i - q - 296 = 0, -4 = -q - 5. Suppose -23*j + 462 = 7*j - 138. What is the remainder when i is divided by j?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 12\/95 + -10\/19. Suppose 8*d - 14*d + 24 = 0. Which is the smallest value? (a) d (b) -1\/5 (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence meee when four letters picked without replacement from yhymhhhheyheheehhhh.\nAnswer: 1\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -68 - -124. Let w be 7\/z - (-105)\/(-8). Let c = 16 + w. Solve 0 = c*n + 12, -4*n + 2*n - 13 = -5*k for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.77644751 * 0.1.\nAnswer: -0.077644751","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*y + 2*y - 14 = 0. Calculate the remainder when y is divided by 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 132.782 + -133. What is t rounded to two dps?\nAnswer: -0.22","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (11 + 11 - 4)*(-3*g**2 - 2*g**2 + 3*g**2) to q*g**2 + c*g + b and give q.\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Are -133 and -133 equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q = -5*b + 9, q + q + 3 = -5*b. Let d be 26\/6*(-6)\/4. Let o = -6 - d. Is o less than q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 713 - -221?\nAnswer: 1134","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -16*j**3 + 4*j**2 + 3*j - 4. Let h(n) = n**3 - n**2 - 2*n + 1. Let f(r) = 4*h(r) + v(r). Find the second derivative of f(t) wrt t.\nAnswer: -72*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (r - r - r**2)*(-2 + 3 - 3) + (-4 + 4 + 2*r)*(152 + 31*r - 301 + 148).\nAnswer: 64*r**2 - 2*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*m + m + m)*(3 - 3 - m) - m + m + m**2 + (-3*m + m + 0*m)*(-2 + 2*m + 2) - 6*m**2 + 0*m**2 - 2*m**2.\nAnswer: -13*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -5, 53, 1\/3, 0.5?\nAnswer: 53","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -62*d + 3961. What is r(45)?\nAnswer: 1171","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xxxx when four letters picked without replacement from jjjjjxjxjxxxj.\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*x = -x + 644. Let n = -80 + x. Solve -2*c - n = -5*c for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1586 is divided by 753.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 964903 to the nearest integer?\nAnswer: 99","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -75.5 + 75. Let l = -1 + -15. Let y be l\/(-48) - 7\/12. Which is the nearest to y? (a) r (b) 0.3 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jjiijjjj. What is prob of sequence jiji?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -2*f + 5. Let q(m) = m - 1. Let a(x) = 6*q(x) + 2*z(x). What is the remainder when 22 is divided by a(4)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is j in -2*j**4\/5 + 27112*j**3 + 3390418*j**2\/5 - 2278248*j = 0?\nAnswer: -28, 0, 3, 67805","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1646*w - 20 + 817*w + 826*w)*(3 - 2 - 10)*(0 - 2 - 4)*(2 - 6 + 2).\nAnswer: 324*w + 2160","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 + 1 + -2 + 1 - (-5 + 3).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = 1592*w**2 - w + 2. Let a be h(1). Let k(d) = -1592*d - a*d + 3187*d. Suppose 5*m = n - 11, 0 = -n - 0 + 1. Give k(m).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 96, 168, 242, 318, 396, 476?\nAnswer: 558","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -i**3 - 7*i**2 - 2. Determine h(-7).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1489 plus 9244?\nAnswer: 10733","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) be the first derivative of w**3\/3 + w**2 + w - 2. Let u be g(-3). Suppose -2*d = 4*c + 2*d - 32, 0 = 2*c - u*d - 10. List the prime factors of c.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -79, 0.5, 0.015.\nAnswer: -79, 0.015, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 6.45 + -23.33. Let f = -0.12 + d. Let v = f + 16.9997. What is v rounded to 3 dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5 - (-41)\/6) + 2\/12?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 1, f: 5, i: 5, n: 4}. Give prob of picking 1 i and 3 n.\nAnswer: 4\/273","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6 + -11 + 5 + 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 3.4 * 0.019\nAnswer: 0.0646","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -158*p + 90 = -167*p for p.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 5, -0.5, -1, 0.2, -2\/7?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (3 - 2)*-1 - -2. Let t = 2 - k. Is t > 2\/21?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2016 and 210.\nAnswer: 10080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 12261 to the nearest integer?\nAnswer: 111","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 130343.75 rounded to the nearest 100?\nAnswer: 130300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 71623260 and 300?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 20*(-28)\/2520*63.\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 179186174 is divided by 189.\nAnswer: 188","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -18 - -13. Let r(u) = -u - 1. Let b(l) = 5*l - 1. Let g(o) = b(o) + 6*r(o). Calculate g(d).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) be the third derivative of -y**4\/3 - 3*y**2 + 77. Let d(c) = 52*c**2. Calculate g(d(w)).\nAnswer: -416*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -11, -5, 3140, 4.\nAnswer: -11, -5, 4, 3140","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -w**3 - 9*w**2 - 9*w - 12. Calculate f(-8).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 111960 is divided by 319?\nAnswer: 310","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2312 and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ccccuuucuuccccucnu. What is prob of sequence un?\nAnswer: 7\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -27 - -8.7. Let k = f + 19.3. Sort k, -2\/7, 0.9.\nAnswer: -2\/7, 0.9, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -58 - 19 = -a. Suppose 0 = -5*y - 20, 2*y - a - 4 = -t. Is t prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -108*v - 294*v = -2010 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -73 + 74.2. Which is the third biggest value? (a) w (b) 4 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 92*m = -26*m - 295*m - 25606 for m.\nAnswer: -62","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put -6.3, -2, -2\/50877 in ascending order.\nAnswer: -6.3, -2, -2\/50877","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/3 in -0.05, -1\/2, -1\/9, -0.38, -1?\nAnswer: -0.38","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = 7524*j + 45495. What is x(-6)?\nAnswer: 351","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is bb5 + 4a51?\nAnswer: 5936","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 51, 112, 183, 264?\nAnswer: 355","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/9? (a) 2\/3 (b) 0.06 (c) 35 (d) -1\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-18)\/(-15)*(30\/(-24))\/(52\/(-91))?\nAnswer: 21\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -136950 by 45650.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 216199878?\nAnswer: 2, 3, 239, 150767","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -325816, -325855, -325894?\nAnswer: -325933","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 14, 58, 122, 200, 286?\n\"Answer: -c**3 + 16*c**2 + 3*c - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 9.718 to 1 decimal place.\nAnswer: 9.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.003717934 to six decimal places.\nAnswer: -0.003718","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6 - -5) + (2 - (0 - 3))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (-36)\/(-495)*(1 - (-42)\/(-12))\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*s - 2*o - 34 = 0, -1381*s + 24 = -1382*s - 4*o for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*t - 3*m = 8, 5*t - 2*m + 6*m - 36 = 0 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = 2*u**3 - 5*u**2 + 5*u + 4. What is d(4)?\nAnswer: 72","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -15*w - 9. Let l be f(-1). What is the derivative of -5*d - l*d + 26*d - 96 + 22*d wrt d?\nAnswer: 37","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 47 + -45. Suppose 0 = a*g - 5*p - 334, 5*g - 858 = p - 0*p. What are the prime factors of g?\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4616, -9, 46 in descending order.\nAnswer: 46, -9, -4616","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 150 + 12\/(-30) + 22\/5 + -1 is divided by 49.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-3)\/(-3 - 3)*4. Sort y, 4, -2 in ascending order.\nAnswer: -2, y, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -49*r - 43*y + 2 = 40*r - 88*r, 3*y - 16 = -8*r for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -16876*p**3 - 3*p**2 - 3*p - 2. Let g = -13 - -16. Suppose u + 6 = -u, -4*u = g*t + 18. Let q be l(t). Round q to the nearest ten thousand.\nAnswer: 140000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7119?\nAnswer: 3, 7, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k*k**(1\/2)*k)\/((k**4*k)\/k))\/(k*k**(-2\/7))**(-19\/3)*(k**(-1\/8)*k**(-2\/9))\/((k**(-6)\/k*k)\/k**(-6)) assuming k is positive.\nAnswer: k**(1349\/504)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = 5*q**3 - q**2 + 6. Let t = 13 - 7. Let o(h) = 4*h**3 + 5. Let x(k) = t*o(k) - 5*u(k). What is the third derivative of x(c) wrt c?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1695.39 rounded to the nearest 100?\nAnswer: 1700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 78 a factor of 695?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x, 1 t, and 1 s when three letters picked without replacement from {s: 4, t: 2, x: 1}.\nAnswer: 8\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = 29*v**2 + 6*v + 4. What are the prime factors of c(-2)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) be the third derivative of f**4\/8 - 17*f**3\/6 + 2*f**2 - 10*f. Calculate q(11).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -b + 5*b + 5*g - 60, -2*b + 4 = -4*g. List the prime factors of b.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -167\/26862 and 16\/40293.\nAnswer: 80586","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 783 and 21.\nAnswer: 5481","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -223*r**2 - 214*r**2 + 657*r**2 - 80 + 533 - 217*r**2 + 4*r wrt r?\nAnswer: 6*r + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-14)\/21)\/(224\/(-432)*9).\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 6094, 6858, 7622, 8386, 9150, 9914?\n\"Answer: 764*a + 5330","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.15? (a) -1 (b) 1 (c) -4 (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -23\/36 + -1\/4. Let n(v) = 7*v + 119. Let x be n(-17). Which is smaller: o or x?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -1695461, 12, -1 in increasing order.\nAnswer: -1695461, -1, 3, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -12*v + 33 - 36 - 5*v. Let c be u(1). Let h = -38 + 34. Sort -3, c, h in decreasing order.\nAnswer: -3, h, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2 or -71064.08?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 2111335.2 to the nearest 100000.\nAnswer: 2100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 + (-3 - -5) - 2 - 6?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 21437*c**2 - 10726*c**2 - 10703*c**2.\nAnswer: 8*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1575 + -34.\nAnswer: 1541","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -18*j**2*z**3 + 5*j**2*z - 2*j*z**4 - 18*z wrt z.\nAnswer: -108*j**2*z - 24*j*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -462361 (base 7) to base 6.\nAnswer: -1433554","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) be the second derivative of -z**3\/2 - z**2 + 2*z. Let o be b(-2). Suppose -o*p + 92 = -44. Solve 5*c - p + 9 = 0 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -426 - -638. Let l = b - -21. List the prime factors of l.\nAnswer: 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -2*t**3 - 148*t**2 + 16*t + 252. Let j(m) = -m**3 - 74*m**2 + 7*m + 116. Calculate -6*b(g) + 13*j(g).\nAnswer: -g**3 - 74*g**2 - 5*g - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 693 is divided by 422.\nAnswer: 271","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 3\/((-12)\/(-1268)) + 14\/(-7). Suppose -5*w + 1600 = o. What is the remainder when w is divided by 20?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -b (base 12) to base 14\nAnswer: -b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 247 divide 120493516?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -32*x - 254. Let z(s) = 15*s + 121. Determine -2*w(j) - 5*z(j).\nAnswer: -11*j - 97","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:51 AM and 9:15 PM?\nAnswer: 564","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = 5*o**2 + 374*o - 1631. Give l(-78).\nAnswer: -383","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -449, -981, -1861, -3083, -4641, -6529?\nAnswer: -8741","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2.9124 + -2.8124. Put 2\/3, 0.6, -1\/7, s, 1 in descending order.\nAnswer: 1, 2\/3, 0.6, s, -1\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*v - 3*v + 4*v)*(0 - v**2 + 0) + (10*v - 4*v + 5*v)*(-2*v**2 + v**2 + 0*v**2) to r + b*v + n*v**2 + l*v**3 and give r.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -20.7 - -531\nAnswer: 510.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = 2*v. Let d(w) = -w**2 - 4*w + 6. Let t be d(-5). Let n(z) = t + z**2 - 1. What is n(k(b))?\nAnswer: 4*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2470)\/(-585) + (-6)\/27?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (-2 - 0 - -5) + (66 - 24 - 55) + 64\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = 16*w**2 - 12*w - 35. Let y be t(-9). Let a = 2741\/2 - y. Factor a*h**2 - h - 1\/2*h**3 + 0.\nAnswer: -h*(h - 2)*(h - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 2\/11 (b) -3 (c) 5 (d) -23\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = q - o + 2535 - 2529, -4*q - 20 = -3*o for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 116 and 1653.\nAnswer: 6612","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 117064564 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -l**2 + 6*l - 6. Let m be s(4). Suppose m*p + 2*h - 30 = 0, -3*p + 3*h = -16 - 5. List the prime factors of p.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -1, 49.\nAnswer: -1, 3, 49","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.4 + -0.2. Let r = 2.01 - 3.42. Let w = 1.48 + r. Which is smaller: z or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-b - 2*b**3 + b**2 - b**2)*(8987*b + 39 - 94 + 55) in the form r*b + g*b**3 + z + l*b**2 + v*b**4 and give l.\nAnswer: -8987","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g + 17 = -4*p, 4*p = 3 - 23. Let h(v) = -4 + 4*v + g - 9*v. What is the units digit of h(-3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*h - 19 - 5. Solve 18 = -2*q - h*u, -5*u + 4*u - 2 = -2*q for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -154 + 270. Suppose -169 - a = -5*o. Is 19 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 50 minutes before 6:57 AM?\nAnswer: 6:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = 1891*j - 1. Let m(w) = -7*w. What is -f(u) - 9*m(u)?\nAnswer: -1828*u + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = 7*q - 33. Let u be v(11). Let p be 12 + -19 + 1004\/u. Which is greater: p or 15?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 67326 times -123\nAnswer: -8281098","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3*j**5 - 24238*j**4 - 2*j + 46119 wrt j?\nAnswer: -60*j**3 - 290856*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 31*g**3 + 6143 - 6143 + 65*g**3.\nAnswer: 96*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -0.111 times -4\nAnswer: 0.444","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 881081 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2794 + 3300 = 23*h for h.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -9540556*x**3 - 7657535 with respect to x.\nAnswer: -28621668*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -73 = -2*s + 3*v, -5*v + 202 - 1 = 4*s. Suppose -2*o + 4*j = -15 - 17, o - s = -5*j. Is o a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -264 - -507. Let t = w - 242.999998895. What is t rounded to 7 dps?\nAnswer: 0.0000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 5613.508 and 0.1.\nAnswer: 561.3508","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -206359671 - 11*c + 206359671.\nAnswer: -11*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 31 + -15. Suppose -10 = -5*r, 4*r + 26 = 5*z - h. Does 4 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in -0.1, 3, -1, -1643, 1\/10, -0.2, -0.3?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-1)\/(-3))\/(52\/(-24)). Let h = -0.17996 + 0.27996. Sort z, -4, -2\/3, h in increasing order.\nAnswer: -4, -2\/3, z, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = 2*g**2 + 20*g + 88. What is the remainder when c(-11) is divided by (((-1)\/2)\/((-11)\/(-6402)))\/(-3)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -229*o**2 + 9*o - 10. Let a(w) = -w**2 - 3*w - 6. Let g = -14 - -10. Let n be a(g). Let b be k(n). What is b rounded to the nearest ten thousand?\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l + 5*p + 10 = 0, -3*l + 2*p + 6 = 4*p. Let c be 1\/2 - 3\/l. Let a be 19 + (-3)\/c + -2. Solve 4*d + a = -d for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -265, -577, -931, -1315, -1717, -2125?\nAnswer: -2527","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 49*z + 43*z - 99*z.\nAnswer: -7*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -38.3 + 35. Let g = 3.1 + i. Let f = 0 + g. What is the second smallest value in f, -0.4, -2\/13?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(165)\/(sqrt(15)\/sqrt(3)))\/(sqrt(12)\/sqrt(4)*-2) - (sqrt(77) + -4*(sqrt(77) + 2*sqrt(77)))\/(3*sqrt(14)\/sqrt(2)).\nAnswer: 19*sqrt(11)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 4613675*t**3 + 2*t**2 - 2*t - 13164648 wrt t.\nAnswer: 27682050","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 181*j**2 - 49*j**2 - 335*j**2 - 34*j**3 - 485*j**2 - 1 - 77*j**2.\nAnswer: -34*j**3 - 765*j**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-441)\/36 - (-15 + 2).\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = 297412*i**2 - i. Let a(j) = -79*j. Calculate o(a(t)).\nAnswer: 1856148292*t**2 + 79*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -6 - -9. Suppose 4*c = 12, -s*c = 2*m + 2*c - 21. Suppose o + 4*o - 210 = -5*p, 108 = 3*o - m*p. Calculate the highest common factor of 26 and o.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1890 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 16032824.\nAnswer: 2, 29, 2383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4375 + 2163 = 261*c + 7706 for c.\nAnswer: -38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = i**2 + 2*i. Let k(d) = -4*d**2 - 9*d. Let x(c) = -2*k(c) - 9*y(c). Determine x(1).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 30*d - 65*d + 245 = 0 for d.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-12)\/(18 + 42) + (-16)\/(-5). Let z = 3 - -12. Suppose -i = -6*s + z. Solve 0 = 4*r + 3*u - 6*u + 28, u = -s*r - 8 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 115 is divided by 17?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 117\/5 - 114\/5. Which is the smallest value? (a) 3.4 (b) 4 (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = 6*b**2 - 8*b - 2. Let c(l) = l**2. What is -3*c(f) + j(f)?\nAnswer: 3*f**2 - 8*f - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.04 - -4.96. Let a = f - 5.2. Let c = 187\/3 + -563\/9. Put a, c, -1\/6 in decreasing order.\nAnswer: -1\/6, a, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -i + 13 = 2*z - 6*i, -z - 3*i + 1 = 0 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = r - 1. Let x be 1\/3*-1*3. Let t(m) = -m**2 + 9*m + 4. Let d(a) = x*t(a) + 2*v(a). What are the prime factors of d(8)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*j + 11 = -5*z, 31*j - 6 = 29*j + 3*z for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2375223?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -1, 47 in descending order.\nAnswer: 47, 1, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 209 is divided by 71.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = 47*k - 3037. Give a(67).\nAnswer: 112","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w - 7682 = -5*n, -324*n + 2*w - 4608 = -327*n. What is the smallest common multiple of 1120 and n?\nAnswer: 12320","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -819 at most as big as -819?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 7 and 3437?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 2 - 1)*(3*b**4 + 3*b**4 - b**4)*(-4*b + 4*b - 4*b).\nAnswer: 40*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find y such that -5*y**3 + 7205*y**2 - 832615*y + 5476975 = 0.\nAnswer: 7, 119, 1315","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = 3*i - 5*c, 5*i - 2*c - 20 = -3*c. Suppose 16*s - 2*s**3 - 16*s**2 + 372*s**5 - 10*s**3 - 376*s**5 + 16*s**i = 0. Calculate s.\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -p**3 + 6*p**2 - p - 2. What is the tens digit of l(5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) be the third derivative of -g**5\/60 - g**4\/24 + g**3\/2 + 3*g**2. Determine d(0).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1\/(2 + 689\/(-345)).\nAnswer: 3, 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k = -5*m + 130, 3*m = -19*k + 14*k + 56. Suppose -m*q + 23*q = -8. Solve -q*w - 41 = -45 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = 4*x**3 - 7*x**2 - 4*x + 4. What is the tens digit of m(5)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z + f = 0, -3*z + 0*z + 5*f = 40. Let n(t) = -t - 3. Let d(w) = -w - 2. Determine z*d(p) + 3*n(p).\nAnswer: 2*p + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide 61680080 by 19.\nAnswer: 3246320","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2252 + -8969\/4. Is f less than -2\/17?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 10 + -10.016. Let z = 0.016 - x. What is z rounded to three dps?\nAnswer: 0.032","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 1, o: 3}. Give prob of picking 2 o.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -3432487, -3432528, -3432587, -3432658, -3432735?\n\"Answer: w**3 - 15*w**2 - 3*w - 3432470","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 v when two letters picked without replacement from vevveeevevevev.\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -334 and 1106.\nAnswer: -369404","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 72852277 a multiple of 30?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -g**2 - 4*g + 5. Let o(a) = -3*a + 3. Let q be o(-4). Let d be ((-4)\/2)\/(6\/q). Give m(d).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-3)\/((-9)\/3)*0)\/(6\/3)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 904\/72 + 20\/45. Suppose 6*j + 434 = z*j. Calculate the greatest common factor of 279 and j.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -5*x**2 - 1103*x - 3548. Calculate l(-214).\nAnswer: 3514","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 37772, 75070, 111454, 146468, 179656, 210562, 238730, 263704?\n\"Answer: -76*k**3 - k**2 + 37833*k + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 6\/14 - 51\/21. Let o be x\/(-4) - (-3)\/2. Suppose -o*c - 82 = -4*y, 0*c - 63 = -3*y + 3*c. What is the units digit of y?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 11051*l + 11284*l + 5288*l - 10848*l + 9752*l as v + m*l and give m.\nAnswer: 26527","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -n + 4*y = -3 - 10 + 4, 2 = -2*y for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 3960 and 43560?\nAnswer: 43560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -26758, -215016, -726004, -1721086, -3361626, -5808988?\n\"Answer: -26894*g**3 - g**2 + 3*g + 134","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 12*y**5 - 63*y**4 + 6770*y**2 + 244547*y - 26 wrt y?\nAnswer: 240*y**3 - 756*y**2 + 13540","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8705209 is divided by 2574?\nAnswer: 2515","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1006*y + 5826*y - 181214 = 554910 - 70964 for y.\nAnswer: 138","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -0.5 * -210598.8\nAnswer: 105299.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = l**2 - 2*l - 3. Let n be h(-6). Let g be (2\/10)\/(n\/50). Let f = 3 - 1. Which is the smallest value? (a) 5 (b) g (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.9 + -1. Let x be 37\/(-28) - 20\/(-35). Which is the biggest value? (a) x (b) 0.5 (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = 2415*u + 96597. What is m(-40)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d and 1 w when two letters picked without replacement from {w: 1, d: 17}.\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 727 at most 14?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 101 minutes after 7:42 PM?\nAnswer: 9:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -2\/729 (b) 219 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = 349*y - 145. Let h(f) = 117*f - 49. Let w(x) = 11*h(x) - 4*j(x). Differentiate w(n) wrt n.\nAnswer: -109","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -11000 (base 4) to base 6\nAnswer: -1252","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*x + 12, 17*n - 20*n + x = -9. Solve -3*w = n*w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = g**3 + 2*g**2 - 144. Let s be o(0). Let y be (-4)\/18 - 5072\/s. Calculate the greatest common factor of 7 and y.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -103\/2376 and 85\/4112592.\nAnswer: 37013328","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5405*z - 3267*z - 214*z + 693*z + 711*z.\nAnswer: -7482*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -123526.1 to the nearest 100.\nAnswer: -123500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 925*o + 13096 = -15309 - 3045 for o.\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 - 1199*h - 5 + 7.\nAnswer: -1199*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 4646.7 and 1.703?\nAnswer: 7913.3301","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a**3 + 18*a**2 - 40*a + 24 = 0. Calculate a.\nAnswer: 1, 2, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*c, 4*y + 0*c - 2*c = 72. Let b be (y\/12)\/(9\/84). Let f be (-2 + 0)\/(-1) + 1. Solve -f*t - 30 = g + 4*g, 3*g + t = -b for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 16 + ((-30)\/(-10) - (4 + 4)). Let w be 6\/2 - 7 - -6. Let k(n) = 4*n - 5*n + 6*n - 11 + 7*n - n**w. What is k(s)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -268 - -271. Suppose -189 = -i - 5*f + 21, 5*i = p*f + 966. Is 6 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 71885*v = 72452*v + 15876 for v.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put -22, 6, 37 in ascending order.\nAnswer: -22, 6, 37","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -89*w = -32*w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 396288.3 seconds to nanoseconds.\nAnswer: 396288300000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 1\/((-2)\/(-4)) - -2. Let k(n) = n**3 - 3*n**2 - 3*n. Let v be k(s). Find the second derivative of -2*d - 2*d**2 + d**2 + v*d wrt d.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3202501 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = j - 8. Suppose -4*u = 4*b - 24, 2*b + 1 = -7. Let c be d(u). Find the second derivative of 6*y + 2*y**2 + c*y**2 - 2*y**2 - 7*y**2 wrt y.\nAnswer: -10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-12)\/21)\/(36\/(-42)). Solve 0 - k*r**3 + 0*r + 0*r**2 + 2\/3*r**4 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7672?\nAnswer: 2, 7, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 79568, 79660, 79752, 79844, 79936, 80028?\nAnswer: 80120","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:16 PM and 11:39 PM?\nAnswer: 443","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 23375557 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = n**3 + 6*n**2 + 4*n - 4. Let b be i(-2). Suppose b*g - q = 587, -4*g - 2*q + 624 = 34. Is g a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u + 5*r + 17253 = 0, -u + r + 134 + 5617 = 0. What is the greatest common divisor of 355 and u?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + sqrt(10)\/sqrt(2) + sqrt(40)\/sqrt(128) + 2 + 5 + -4)**2.\nAnswer: 125\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 283 - 283.2. Let u be (-2)\/8 - (-10)\/24. Which is the third smallest value? (a) u (b) -2 (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (12\/20)\/((-1)\/(-5)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) be the second derivative of x**4\/4 + 9*x**3\/2 - 15*x**2 + 249*x + 2. Solve w(h) = 0.\nAnswer: -10, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 1, i: 2, b: 10, z: 1, q: 2}. What is prob of sequence yiz?\nAnswer: 1\/1680","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 201785 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 78467?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in thirteen eighths of a tonne?\nAnswer: 1625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r = -5*v - 25, -5*r - 6*v - 20 = -2*v. Suppose 5*s = 2*i - 24, r + 4 = -s. Is (34\/5)\/((-4)\/(-40)*i) a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let u = -626 - -633. Which is the nearest to 0? (a) -1\/4 (b) 0.05 (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 23, -2, 13 in descending order.\nAnswer: 23, 13, 2, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 386, 2550, 8446, 19940, 38898, 67186, 106670, 159216?\nAnswer: 226690","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 28306044?\nAnswer: 2, 3, 13, 20161","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 2\/25461 and 74\/1790757.\nAnswer: 5372271","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 42*a + 57836 = -3002*a for a.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-4)\/10 - (-2 + 1896\/60))\/((-330)\/(-90))?\nAnswer: -90\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 38, 78, 138, 212, 294, 378, 458, 528?\n\"Answer: -i**3 + 16*i**2 - i + 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*r - 873 + 360. What is the highest common factor of 19 and r?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 0.8, 5, -6\/19, -2\/15?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*m**3 + 3396*m**2 - 3396*m**2.\nAnswer: -2*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 27217 and 136?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 706 divided by 3?\nAnswer: 706\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Product of 14733.983 and -2.\nAnswer: -29467.966","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: Sort -17, -8.6, -0.2, -0.5, 5, 4.\nAnswer: -17, -8.6, -0.5, -0.2, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 1, a: 1, n: 1, c: 4, k: 2}. Give prob of picking 1 n and 1 a.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.12 (b) -1 (c) -1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = 20*j**2 + 14*j. Suppose 0 = 3*r + 3*k - 6, -3*r + 5*k = 3*k + 19. Let q(l) = 4*l**2 + 3*l. What is r*f(d) + 14*q(d)?\nAnswer: -4*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1242590?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2236 + p**2 - 1082 + 8*p**3 - 9*p**3 - 29*p**3 - 1155.\nAnswer: -30*p**3 + p**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 15 + -19. What is the nearest to -1 in -2\/7, b, 0.3?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-seven fifths of a kilogram in grams?\nAnswer: 5400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k - z - 216 = 0, -2*z = -0*k - 4*k + 168. Let b = k - 22. Suppose 0 = 4*u - 2*u - 24. What is the remainder when b is divided by u?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2 - 12 - 4*p**4 - 22*p**4 - 9 with respect to p.\nAnswer: -104*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -297952372, -297952369, -297952366, -297952363?\n\"Answer: 3*d - 297952375","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*m + m + 117. Let k = m + -19. What is the tens digit of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + 2 + ((sqrt(2)*-2*-4)**2 - sqrt(8)*-5).\nAnswer: 10*sqrt(2) + 128","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -127*p + 133*p - 18 = 0 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3*(111\/(-9) + 12).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -9 + 18. Let s = k - 9. Which is the second smallest value? (a) s (b) -16 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 83437 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 308, 0, 3, -1.8, 9\/2, 12?\nAnswer: 9\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -1021010200 (base 3) in base 7?\nAnswer: -132360","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 375680?\nAnswer: 2, 5, 587","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -6039 plus 10.2?\nAnswer: -6028.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put -175917, 3, 4 in increasing order.\nAnswer: -175917, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*z = 5*z - 70. Let m = 2 - 2. Suppose m*v - 2*b = v + 2, 0 = -z*v + 5*b - 10. Which is smaller: -1 or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:52 AM and 12:19 PM?\nAnswer: 507","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*t**4 - 4*t**5 + 0*t**4 + (-61 + 63*t + 61)*(8*t**4 - t**4 + t**4).\nAnswer: 500*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1143*p + 1135*p = 160 for p.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -101.3 + 152.704. What is k rounded to the nearest 10?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-2)\/3 - (-232)\/(-12). Let j be (1 + 2)\/((-12)\/(-20)). Suppose -j*v = 14*v. Sort h, -5\/4, v in ascending order.\nAnswer: h, -5\/4, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v - b + 3*b = 21, 2*v + 2*b = 16. Determine x, given that -4*x**2 - 9*x**2 + 59*x + v*x**3 - 84*x - 7*x**2 = 0.\nAnswer: -1, 0, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1264799 is divided by 102?\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 2, u: 2}. Give prob of picking 1 u and 2 o.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -99*x - 198. Let o(r) = -2*r - 2. Let s(c) = -396*o(c) + 4*w(c). Let a(k) = 3*k**2. What is a(s(i))?\nAnswer: 470448*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) be the third derivative of -p**4\/24 - p**3\/6 + 23*p**2. What is j(-2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -90*w + 2230 = 70. Solve 3*i + w = -5*d, -6 = 3*d - 4*i + 3*i for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v = -v + 20. Suppose -q - 2*m - 6 = -4*m, v*m - 15 = -5*q. Suppose 2*s = -0*n + 3*n + 1, q = -5*n + 4*s - 1. Which is smaller: 0 or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*y + 6*y + 3 = 0. Let h(l) = l**3 + 8*l**2 + 8*l + 6. Let a be h(-5). Let f = 204\/5 - a. What is the nearest to 0 in 0.3, y, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 157131, 317731, 478331?\n\"Answer: 160600*z - 3469","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (3 - 16\/6)\/1*-6. Is 19 a factor of -2*(-411*(-2)\/6)\/u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = 15*m - 29. What is the units digit of m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 377224\/4353 - -12\/1451. Let c = -89 + w. What is the common denominator of 6\/11 and c?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 137885 <= 137894?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + -2 + 12\/4 + (-176)\/84?\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -169064*l + 3888421. Determine z(23).\nAnswer: -51","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13855 is divided by 2728?\nAnswer: 215","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 37047549 to the nearest integer?\nAnswer: 6087","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = 6*s**3 + 2*s**2 - 8*s - 8. Let l(h) = 4*h**3 + h**2 - 5*h - 5. Determine 8*l(n) - 5*w(n).\nAnswer: 2*n**3 - 2*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 9978, 12665, 15362, 18075, 20810, 23573, 26370?\n\"Answer: v**3 - v**2 + 2683*v + 7295","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6 - (135 + (-145 - -29) + (1 - 55))?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -84*j + 1131232 = -29*j - 1030818. Is j a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h + r + 419 = 3*r, -5*r = -4*h + 597. Which is smaller: h or 139?\nAnswer: 139","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*l**2 - 8*l**2 - 29634*l**3 + 29720*l**3.\nAnswer: 86*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) be the third derivative of -u**5\/60 + 3*u**2. Let g(j) = -6*j**2 + 2*j - 2. Calculate g(r) - 4*s(r).\nAnswer: -2*r**2 + 2*r - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -10003, -1811, 6383, 14579, 22777, 30977, 39179?\nAnswer: 47383","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-20)\/14)\/((-84320)\/20832)?\nAnswer: 6\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pep when three letters picked without replacement from kkpkepekkkpkkkkkk.\nAnswer: 1\/340","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:10 PM and 3:50 AM?\nAnswer: 520","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 59258707?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 20655 to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 622451.\nAnswer: 37, 16823","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oogo when four letters picked without replacement from {o: 3, g: 3}.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 153, 506, 1065, 1830?\nAnswer: 2801","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 34561*l - 37173*l = 222020 for l.\nAnswer: -85","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 151280 and 120590?\nAnswer: 310","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 56 + -56. Suppose 7*f + a*f - 1540 = 0. What is the units digit of f?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -9*p + 6. Let b(c) = -2*c + 1. Calculate 11*b(y) - 2*j(y).\nAnswer: -4*y - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 - 210*s - 2081*s + 1.\nAnswer: -2291*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is seven quarters of a milligram in micrograms?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -922*x**3 + 10*x + 1. Let r(p) = p**3 + 5*p. What is -b(g) + 2*r(g)?\nAnswer: 924*g**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (10 - -19) + (-13 - -18) + 0.\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.04777 - 3.5977913298?\nAnswer: -3.5500213298","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 25.51 - 25.31. Which is the closest to 170? (a) 5 (b) n (c) 1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(sqrt(57)\/sqrt(3) - sqrt(19)) + 2*(1 + sqrt(19)))**2.\nAnswer: 8*sqrt(19) + 80","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ggxuixo. Give prob of sequence xoxu.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) be the third derivative of r**4\/12 - 2*r**2. Let m(y) be the second derivative of 4*y + 0*y**2 + 0 - 5\/6*y**3. Determine m(q(b)).\nAnswer: -10*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-4*q - 8 + 8)*(3 - 3 + 1) - q + 0*q + 2*q)*(-261 + 74*q**3 + 261).\nAnswer: -222*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4 + 0*j**4 - 4*j + 2*j**4 + 2*j**2 - j**4 + 0*j to k*j**2 + a*j**4 + m*j + v*j**3 + o and give o.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4b36 (base 14) to base 13.\nAnswer: 5ccb","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gtgr when four letters picked without replacement from ggjggtjrrgrgrg.\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -38 or -3091\/84?\nAnswer: -3091\/84","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 181572929 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -222, -221, -220, -219, -218, -217?\nAnswer: -216","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -44219, -43768, -43301, -42812, -42295, -41744, -41153?\nAnswer: -40516","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = 3*b**2 - 3*b + 31. Is q(-32) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 15 and -10838270?\nAnswer: -162574050","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 4 - -12a665?\nAnswer: 12a669","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = 0*s - 3*s + s. Suppose -r + 2 = -1. Suppose 5 = -r*g + 2. Give f(g).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u and 1 i when two letters picked without replacement from eueuefiefeiieeue.\nAnswer: 3\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -10689*a. Let v(h) = -136*h**2. Calculate t(v(g)).\nAnswer: 1453704*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.29992626 to one decimal place.\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 2 - 1500547?\nAnswer: -1500545","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -21*n**2 - 12*n - 19. Let y be k(-2). Let v = -73 - y. Calculate the greatest common factor of 24 and v.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.344414 days in milliseconds?\nAnswer: 375357369.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -5*s**3 + s + 1. Let n be q(-1). Let k = -1 + n. Let y = 4 - k. Solve y = 2*u + 5*c - 7 - 4, u = 5*c - 2 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1215458?\nAnswer: 2, 23, 26423","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -72 + -55 + 112 - (30 + 32).\nAnswer: -77","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -37*a - 68. What is the remainder when y(-4) is divided by 9?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-2)\/3 + (-4)\/(-3). Let j = 12\/5 - 2. What is the nearest to 2\/7 in 1, j, w?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 85043*d**5 + 2*d**2 - 43151?\nAnswer: 5102580*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -34125 + 57982. Is r composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1032 less than 17?\nAnswer: -1015","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*y + 47 - 8 = -2*a + 15, 55*y - 157*y - 420 = 2*a for a.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -6*t. Suppose -2*m = -66 + 72. Let u(d) = d**2 + 4*d. Let w(k) = m*u(k) - 2*b(k). Let v(z) = -59*z + 1. What is v(w(g))?\nAnswer: 177*g**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = m**2 - 8*m + 4. Let q be u(8). What is the units digit of (-2)\/3*(-72)\/q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 363863, 727712, 1091561?\n\"Answer: 363849*v + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -0.3+522543\nAnswer: 522542.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 103299680 and 121?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -4\/11, -2, 39?\nAnswer: -4\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 323\/(7\/(1 - 8)). Let w = a - -326. Solve 0 = -0*m - w*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -u**3 + 8*u**2 - 18*u + 53. What is the remainder when 28 is divided by v(6)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = 18*z - 77. Let x be i(5). Suppose -x*o + 9*o = -8. Solve 3 = -r - o for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -558931821 and -1.83?\nAnswer: 558931819.17","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 7039 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a + 3*a = 3*t + 5, -7 = -3*a + 4*t. Let u(s) = -s + 1. Let z be u(a). Which is bigger: -2\/5 or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 19*f**2*h**3 - 2*f**2 + 46*f*h + 3*f - 11*h**3 - 3*h**2 + 130*h wrt f?\nAnswer: 38*f*h**3 - 4*f + 46*h + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.258 plus 10673.4677?\nAnswer: 10673.2097","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 37474759?\nAnswer: 7, 701, 1091","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0 + -2. Let m(a) = -1 - 4 + a + 8. Let d(b) = 3*b + 10. Determine u*d(f) + 7*m(f).\nAnswer: f + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 b when two letters picked without replacement from {c: 1, v: 4, b: 3, a: 1, e: 10}.\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor -40\/7*m - 22\/21*m**3 + 0 + 16\/3*m**2 - 2\/21*m**4.\nAnswer: -2*m*(m - 2)**2*(m + 15)\/21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) be the third derivative of u**4\/12 + 11*u**3\/3 + 31*u**2. Let k be p(-11). Solve 25 = -5*m, d + k*m - 2*m = 12 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 560 minutes before 2:00 AM?\nAnswer: 4:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v - 20 = -c - 4, -2*c = -v - 22. Let k be ((-9)\/12)\/(21\/c). Let m = k + 5\/28. What is the nearest to 0.1 in m, 1\/3, 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**(1\/4))**(1\/31))**(-3\/10) assuming z is positive.\nAnswer: z**(-3\/1240)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*a = -3*f - 2, -a - 1 = -0*a + f for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ron when three letters picked without replacement from ctnoocnruuctnt?\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 - l + 0 + (2 + 0 - 4)*(3 + l - 3))*(3*l - 3*l - 2*l)*(-5*l**2 - l**2 + l**2) as x*l**4 + m + q*l**2 + j*l + i*l**3 and give x.\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(77)*-2*3)\/(sqrt(11) - (sqrt(44)*-2 + sqrt(11) + sqrt(11))))**2 + (-5*(sqrt(175) + (sqrt(175) - (4 + sqrt(175) + 4))))**2.\nAnswer: -2000*sqrt(7) + 6003","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 9163110 divided by -15\nAnswer: -610874","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -89\/10 and -77\/160?\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 50082.89m?\nAnswer: 5008289","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -87349*h**2 - 57*h - 298. Let v be y(-7). Round v to the nearest one million.\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(sqrt(80) + -6*(sqrt(80) + 3 + sqrt(80) - sqrt(80))))**2 + (sqrt(80) + 2 + sqrt(80))**2*-1*3.\nAnswer: 6384*sqrt(5) + 19944","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1093 = 4*t + 3*m - 1802, 5*t - m - 3633 = 0. Is 3 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mym when three letters picked without replacement from {q: 1, m: 3, y: 1, d: 1, j: 1}?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 33385 and 6820?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 743734?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) be the first derivative of -v**4\/4 - 4*v**3\/3 - 5*v**2\/2 - 2*v + 126. Solve o(q) = 0 for q.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/5, -0.4, 7, -0.71529 in descending order.\nAnswer: 7, 2\/5, -0.4, -0.71529","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*n - 3*n + n)*(2 + 1 - 1) + (0 + 1 + 4)*(3*n + 2*n - 3*n) - 2*n - 1 + 1.\nAnswer: 10*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -50*l + 58*l - 3344. Calculate the lowest common multiple of l and 8.\nAnswer: 1672","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = -5*i + 8. Let q = -323 - -326. Calculate the smallest common multiple of (-6)\/q*(-26 - 12) and i.\nAnswer: 228","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*f - 4 = 9*f for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 4151268 or 24907615\/6?\nAnswer: 24907615\/6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 1107268 a multiple of 38?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*q**3 + 45*q**2 + q**3 - 1 - 8*q**2 - 2*q**4 - 2*q + 0 to the form p*q**3 + c*q + l*q**2 + t*q**4 + d and give d.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*y - j + 56 = 61, 5*y + j = -11 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = k**2 + 3*k + 2. Let g be j(-3). Suppose v + 214 = s - 50, -s = g*v - 252. Suppose -f - 4*f + s = 0. Does 11 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2887792 is divided by 233.\nAnswer: 223","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 858 divide 14410110?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = q**2 + 5*q - 5. Let a be c(-6). Suppose -w - 13 = a. Let m = w - -26. List the prime factors of m.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*v**3 - 2 + 1 + 2*v**4 - 2 in the form z + d*v**4 + h*v**3 + b*v**2 + t*v and give h.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 772*b + 34*b - 1281*b - 1742*b.\nAnswer: -2217*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((u*(u\/(u*u*u**(2\/9)))\/u*u*u)\/u*u)**(-27)*u\/u**(6\/5)*u*u\/u**(-1\/3))**(3\/32))**23 assuming u is positive.\nAnswer: u**(-6509\/160)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qdd when three letters picked without replacement from qdddddddddddddddddd?\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 5704 and 32370913?\nAnswer: 713","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = 19*b**3 + 3*b**2 - 3*b - 1. Let x(h) = -96*h**3 - 16*h**2 + 16*h + 6. Determine 16*l(a) + 3*x(a).\nAnswer: 16*a**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p*p**(-6\/5)\/p)\/p)\/(p\/p**(-4\/15)) assuming p is positive.\nAnswer: p**(-52\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:18 AM and 12:08 PM?\nAnswer: 410","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 40167847?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 85 and 204.\nAnswer: 1020","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-2)\/(-7) - (-66)\/14. Suppose -4*m = -0*m. Solve -5*g + 20 = m, q*w + 2*g + 2*g = 36 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 76 and 152.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 46034215?\nAnswer: 5, 17, 541579","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 244\/182 - 1 - ((-6)\/(-10))\/(7483\/(-5345)).\nAnswer: 10\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 61, 201, 337, 427, 429, 301?\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -z**2 + 44. Let a = -9 - -11. Suppose -2*d - 1 = -2*k - 3*d, -a*k = -5*d + 5. What is the remainder when t(k) is divided by 23?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = w - 29. Let l be v(24). Let n be 684\/(-108) - (-2 + l). Put 0.1, n, -2.6 in decreasing order.\nAnswer: n, 0.1, -2.6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-3)\/5)\/(69\/(-690)).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (1 - 0) + 6 + -5\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v - 2*r + 65 = -5*r, -4*r = -4*v + 140. Let q be (-30)\/(-2 - 1) - 0. Suppose q*a - v = 5*a. Is 6 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3 + 2. Suppose 2*n - 8 = -4*i, 0 = 3*i - 2*i + 4*n + m. What is the units digit of i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 390329?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-2\/83)*u**(3\/2)*(u**(-4)\/u)**(-25))**26 assuming u is positive.\nAnswer: u**(272935\/83)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 5 (b) -1 (c) -11 (d) 1.9 (e) -0.0723\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -18.54 - -18.74. Let q(c) = -1 + c + 0*c - 2*c. Let v be q(-6). What is the nearest to 3\/2 in v, 3, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -6*2\/9*(-15)\/10. Solve 7*a = f*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*a - 5*h + 7, -2055*a = -2057*a - 5*h + 13 for a.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1.7 - -1.2. Let a = 2.4503 - -0.5497. Sort a, y, -0.04, -1\/3 in decreasing order.\nAnswer: a, -0.04, -1\/3, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2222?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.2? (a) -10 (b) 0.5 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.504 in -3\/5, -2\/5, 1, 5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 1 - ((-10)\/2 + 1). Let x be ((-2)\/(-6))\/((-7)\/(-14)). Sort s, x, 1 in ascending order.\nAnswer: x, 1, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 96095 is divided by 9189.\nAnswer: 4205","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 12\/(-66)*33\/(-9)?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-26)\/(-2717)*11 + (-52)\/133. Which is the nearest to q? (a) 2\/15 (b) 2 (c) 3 (d) 9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 14814 and 54?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*o = -228 + 1104. Suppose 2*p - 4*g = 192, -3*p + o + 87 = 5*g. List the prime factors of p.\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.4 in 9, -40, 169?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2.088 + 0.912. Which is the closest to 0.1? (a) 0.19 (b) 1\/3 (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 853210717 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*z + 14 + 2*z - 9 + 7*z - 5*z + 3*z + (-3 + 0 + 2)*(-3*z + 5*z - z) + 0 + 0 + 2*z as s + d*z and give s.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 1449493 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -88*m = -98 + 626 for m.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) be the first derivative of -3*z**5\/25 - 7*z**4\/20 - z**3\/3 - z**2\/10 - 14. Suppose h(x) = 0. Calculate x.\nAnswer: -1, -1\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -152*b = -156*b + 12. Solve 0*s + 4*l = 2*s - 14, b*s - 15 = 4*l for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = 2*z**3 - 9*z**2 - 40*z + 9. What is t(7)?\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (0\/(-1))\/2*1. Find the second derivative of -10*i**5 + 7*i + i - 12*i**5 + o*i wrt i.\nAnswer: -440*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) be the second derivative of m**6\/45 - m**5\/15 - 13*m**4\/18 + 14*m**3\/9 + 8*m**2 + 176*m. Suppose y(z) = 0. What is z?\nAnswer: -3, -1, 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4377 = -q + 2*u - 4386, -q - 29 = -22*u for q.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -0.3, 4, 7\/6 in descending order.\nAnswer: 4, 2, 7\/6, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.013765608 to 2 dps.\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Are 14386 and 14386 unequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2 + ((-16)\/2 - -14). Which is greater: y or 5?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*s = 32*q + 74, 2*q = 40*s - 35*s + 21 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 41\/420292916 and 35\/4030708.\nAnswer: 4623222076","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1 (base 13) to base 14.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -2*l**2 + 17*l - 13. Determine u(7).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -2000.8836619992 less than -0.4?\nAnswer: 2000.4836619992","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(-2 + (sqrt(750) + -5*sqrt(750))\/sqrt(6)).\nAnswer: -100*sqrt(5) - 10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 7594 + -7534.256. Round m to the nearest integer.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14 is divided by 2.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = l + 3. Let i be y(3). Suppose 3*j - i = 30. Suppose 3*m = 9 + j. List the prime factors of m.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2686700 is divided by 1280?\nAnswer: 1260","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 52*y + 96 = -36*y - 432 for y.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -22589653*b*w**2*z**2 + b*w*z**2 + 2*b*z - 2*b + 6*w**2*z**2 + 2*w*z**2 + 150*w - 1013*z wrt w?\nAnswer: -45179306*b*z**2 + 12*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 844 a factor of 13854260?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a - 32 + 8 = 0. Let f be 1 - 5\/a - (-33)\/22. Find o such that -5 - 10\/3*o + f*o**2 = 0.\nAnswer: -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = 3 + 6*h**2 + 4*h**2 + 5*h - 9*h**2. What is n(-5)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5321 is divided by 1740.\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 624 a multiple of 48?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -4*q. Let c(m) = 13*m - 4. Let i(o) = -66*o + 21. Let z(s) = 21*c(s) + 4*i(s). Let y be (-12)\/(-30)*-5 - (-7 - -3). Determine y*z(u) + 5*n(u).\nAnswer: -2*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Add together -214609 and 3.\nAnswer: -214606","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 109309 and 17894.\nAnswer: 5028214","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 5 - 106\/2*-1. Suppose 53*o - 60 = m*o. Let x be o\/3 - 4590003\/(-3) - -3. Round x to the nearest 1000000.\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 3 + -154909?\nAnswer: -154906","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = 4*l - 64*l**2 - 4*l - 114*l**2. Let b(u) be the second derivative of u**3\/2 + 877*u. Determine w(b(k)).\nAnswer: -1602*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 78132 is divided by 7807?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*k + k + 6034 + 13*k.\nAnswer: 12*k + 6034","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.79231 - 1.06437. Let n = -1.86 - f. Round n to three decimal places.\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -v**3 - 12*v**2 + v - 5. Let g be x(-12). Let o = g - -13. Let w = 5 - o. What is the units digit of w?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -d206 (base 16) to base 4\nAnswer: -31020012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -3 + 2. Calculate the common denominator of (-2 + 148\/(-6))*(-3)\/18 and f\/4 - 34\/8.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(44) + -2 + -1)*-2 + (-3*(sqrt(396) + (sqrt(396) - -2*sqrt(396)) + sqrt(396)) - sqrt(396)))**2.\nAnswer: -1200*sqrt(11) + 110036","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -19 + -12. Let k = 45 + b. Let m(f) = 4*f - k*f - 12*f + 3*f. Let i(j) = 2*j**2. Calculate m(i(t)).\nAnswer: -38*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (g**4 + 0*g + 0*g)*(-3*g - g + 2*g) + 12 - 15*g**5 - 12 - 73 + 68 - 8*g**5 + 2*g**5.\nAnswer: -23*g**5 - 5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -39 (base 15) to base 5\nAnswer: -204","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = 2*q**2. Let n(k) be the second derivative of k**6\/180 - k**3\/6 - 5*k. Let b(u) be the second derivative of n(u). What is b(f(x))?\nAnswer: 8*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -655344, -655093, -654844, -654597, -654352, -654109, -653868?\nAnswer: -653629","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -933*m + 13036. Determine w(14).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 34 a factor of 3910816?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) be the first derivative of -2*w**3\/3 + 3*w**2 - 4*w - 3. Find l, given that p(l) = 0.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 48191, 385639, 1301557, 3085175, 6025723, 10412431, 16534529?\nAnswer: 24681247","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 252 + -814679090?\nAnswer: -814678838","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -3199, -13570, -31111, -55822, -87703, -126754?\n\"Answer: -3585*u**2 + 384*u + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) be the third derivative of 9*t**5\/20 + 5*t**4\/24 - t**3\/2 + 58*t**2 - 38*t. Let d(m) = -m. Determine h(d(b)).\nAnswer: 27*b**2 - 5*b - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*k + 3*k - k)*(1 - 10 + 19)*(0 - 2 + 3) in the form w + y*k and give y.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 4 and 6560.\nAnswer: 6560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = p**3 - p**2 + p. Let n(f) = -3*f**2 + 4*f - 2. Calculate -3*c(d) + n(d).\nAnswer: -3*d**3 + d - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -6.3 + 7. Let d = 0.5 - t. Is -2\/13 not equal to d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 24 and 24?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 656 + -519. Is c a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.02? (a) -3 (b) -83 (c) -0.2 (d) -1\/15\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w + 45 = -30. Is ((-93)\/w)\/(3\/(-15)) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 94*o - 101*o + 371 = 0. Suppose 0 = -32*s + o + 139. Let i be (9\/(-6))\/((-3)\/8). Solve s = -i*c - 6 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1220892 and 1506.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 116625 and 2825.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -15799 + 35782. What is the thousands digit of g?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1 + 1. Suppose -k*q + 5 = -5*q - 4*y, 15 = 4*q + y. Suppose 4*h + 4*o = -0*h + 112, 94 = 3*h + q*o. What is the units digit of h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -7287, -7257, -7265, -7323, -7443, -7637, -7917?\n\"Answer: -2*q**3 - 7*q**2 + 65*q - 7343","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) be the first derivative of -h**6\/27 + 22*h**5\/45 - 3*h**4\/2 + 50*h**3\/27 - 8*h**2\/9 + 23. Factor t(i).\nAnswer: -2*i*(i - 8)*(i - 1)**3\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kbqbubkb. What is prob of picking 1 u, 1 q, and 2 k?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (9 - 714\/68)*2*-1. Solve -4*q = -5*m + 35, -i*m + 15 = -6 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1033 + 22312?\nAnswer: 30011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (14 - -1) + -3 + 3. Suppose 3*z + r = 6*z. Solve 3*j = -0*m - 3*m + 9, 25 = z*m for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*s**2 + 1863814*s - 1863816.\nAnswer: 2*(s - 1)*(s + 931908)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ri when two letters picked without replacement from {i: 2, r: 3}.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-nine halves of a litre in millilitres?\nAnswer: 14500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -28\/37 + 1324\/185. Calculate the common denominator of -83\/2 and c.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 0, 37, 104, 207, 352, 545, 792?\nAnswer: 1099","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a = 3*a - 4*q - 132, 2*q - 124 = -3*a. Suppose 5*i - a = 3*i + 5*y, -i - 5*y = 11. Calculate the highest common divisor of i and 27.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = w - 6. Let q be p(6). Suppose -4 = -0*y - 2*y, 2*n + 2*y + 230 = q. Let k = -38 - n. Is k prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) be the second derivative of -112*s**5\/5 - 5*s**4\/6 + 7*s**3\/2 + 90*s - 4. What is the third derivative of y(i) wrt i?\nAnswer: -2688","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -290\/7, -0.3 in descending order.\nAnswer: -0.3, -1, -290\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 43600861*j**2*l**3 + 21*j**2*l**2 + 8659*j**2 + 3 wrt l.\nAnswer: 261605166*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u = -5*t + 43, u + 0*u - 40 = -2*t. Suppose u - 152 = -3*x. List the prime factors of x.\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3 - -5. Let f be 2\/g + (-623)\/28. Let x = f + 44. Calculate the highest common divisor of x and 66.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 2860, -17, -2\/69?\nAnswer: -2\/69","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 1*-4\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -936 - -1431. Is 9 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = 14211*n. Let z(m) = 2*m**2. What is v(z(o))?\nAnswer: 28422*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -295.02 + 4.02. Let a = -341.2 - v. Let s = a - -45. Round s to 0 dps.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.001008 rounded to five dps?\nAnswer: -0.00101","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -3*16\/1224*(9\/6)\/1\nAnswer: -1\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 368806268?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -31439, -62925, -94413, -125903?\nAnswer: -157395","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -127*r + 56. Let o(l) = -25*l**2. Give x(o(g)).\nAnswer: 3175*g**2 + 56","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:17 AM and 9:38 AM?\nAnswer: 321","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-8\/9)*j\/((j*j**(1\/3))\/j))\/(j\/j**(2\/5))**(5\/9) assuming j is positive.\nAnswer: j**(-5\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = 9*a**2 - 2*a + 1. Let q be (1 + 1\/(-2))\/(41\/82). Calculate the smallest common multiple of j(q) and 10.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 712, 1538, 2364?\n\"Answer: 826*y - 114","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = 2*g - 2. Let b be p(3). Let k = b + -2. Solve -20 = 7*x - k*x for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -5 (b) 2 (c) -0.5 (d) 71\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1*(14 + 72\/(-6)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -808*b**2 + 401*b**2 - 452*b**2 + 2*b**2 - b**2 - 2*b**2 + (-6*b + 4*b + 0*b)*(-3 + 4*b + 3) to w + j*b**2 + i*b and give j.\nAnswer: -868","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = 9*s**3. Let d be q(1). Suppose 3*i + d = -6. Is i < -4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.062? (a) 0.4 (b) 3 (c) -2\/21 (d) -0.018\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 994, 1138, 1280, 1420?\nAnswer: 1558","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 378057 rounded to the nearest 1000?\nAnswer: 378000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -170 - 103 - 192 = -27*k + 48 for k.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 733389611 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*f = -8*f + 4*f + 14*q - 57, 4*q = 2*f + 18 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 14047 - ((-1342)\/(-198) + 8\/36)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1613 divided by -2642.\nAnswer: -1613\/2642","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 914000209?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 779 a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = 2*y**2 + 2*y - 1. Let h be q(-2). Suppose -v + 2*d - 18 = -3*d, 12 = h*d. Suppose -s = v*r - 11 - 60, -s - 4*r + 75 = 0. Is s prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -294141 or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-4306)\/(-20) - ((-3477)\/(-190) - 18) is divided by 196.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 96462878401 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert -23526 (base 10) to base 13.\nAnswer: -a929","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -5*k**2 - 298*k + 4792. Give q(15).\nAnswer: -803","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.2, 2, -2, 626, 5?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.104 - 0.3.\nAnswer: -0.196","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = b**3 + b. Let h(u) = u**2 - 8*u + 13. Let a be h(5). Let o be a\/(-1)*25\/(-30)*3. Let g(x) = 4*x**3 + 2*x**2 + 4*x. What is o*k(n) + g(n)?\nAnswer: -n**3 + 2*n**2 - n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 150150 and 30?\nAnswer: 150150","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -297*h = 2121 + 2100 + 3798 for h.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3*(-9)\/(-72))\/((1989\/272)\/(-39)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -110101120 (base 4) to base 8.\nAnswer: -242130","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3840, -7791, -11944, -16305, -20880, -25675, -30696, -35949?\nAnswer: -41440","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: What is (3\/33*-1)\/(((-42)\/(-6))\/(-21))?\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-6242)\/60 + 1\/3. Let f be ((-43)\/5)\/(7\/(-91)). Let y = f + w. What is the common denominator of 117\/10 and y?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s = 5*s - 1, 2*y = -5*s + 15. Suppose -12 = y*h - 2*h. Is h\/18 - (-2621)\/9 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -7 (b) -298002 (c) -2\/9 (d) 4\/3 (e) -3 (f) 3\/8\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = 67*j - 8. Let o(i) = 67*i - 7. What is -5*f(t) + 6*o(t)?\nAnswer: 67*t - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1010 - 10?\nAnswer: -1020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 2\/15 (b) -3 (c) -227 (d) 6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -273 - -277 - ((-360)\/(-35))\/3?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 34300 to the nearest 1000.\nAnswer: 34000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3157\/46905 - 2\/3127. Let q(x) be the first derivative of -1 - 1\/2*x**4 - x**3 + 0*x + 0*x**2 - j*x**5. Factor q(r).\nAnswer: -r**2*(r + 3)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5178 = 27*t - 21*t. What are the prime factors of t?\nAnswer: 863","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 9, 3, 4, -3, 22, -142 in descending order.\nAnswer: 22, 9, 4, 3, -3, -142","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -5 + (-1)\/1 + 126. What is the highest common divisor of g and 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -250193464 or -250193463?\nAnswer: -250193463","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*w**4 - 50*w**3 - 12*w**2 + 32*w = 0. What is w?\nAnswer: -8, -1, 0, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -4, 248945, 4, 10.\nAnswer: -4, -3, 4, 10, 248945","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 4 + 2*w)*(5*w**3 + w**3 - 4*w**3) - 46*w**2 + 46*w**2 - 2*w**4 + 19.\nAnswer: 2*w**4 + 19","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11 - 5 = 4*u for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.521, -21, 6\/5, -1, -6 in increasing order.\nAnswer: -21, -6, -1, 0.521, 6\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 21832?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 57327511 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vmh when three letters picked without replacement from iimvhm.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1.4 + -0.4. Let l = -2 + k. Do l and -4 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4 + (2 - 8) + -15 + 21 - 6\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -2*q + 12. Let l be b(4). Suppose l*i - 270 = -i. Suppose -15*h - 4*h = -361. Calculate the remainder when i is divided by h.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -55\/5136 and -52\/9963.\nAnswer: 17056656","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sd when two letters picked without replacement from ssddsddsddsdsssssdd?\nAnswer: 5\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = w**3 - 11*w - 9. What is the tens digit of l(7)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*k + 0*k - 5*k + (-1 + 3 - 1)*(3 - 3 - k))*(2*k - 2*k + k) + 5*k**2 - k**2 - 5*k**2.\nAnswer: -4*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -4761, -4776, -4823, -4914, -5061, -5276?\n\"Answer: -2*c**3 - 4*c**2 + 11*c - 4766","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 9513?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(49)\/sqrt(63))**2 - ((sqrt(70)*1)\/sqrt(10) - sqrt(7)).\nAnswer: 7\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13*x**2 + 4*x**2 + 1395 - 6*x**2 - 7376.\nAnswer: -15*x**2 - 5981","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) be the third derivative of 13*i**7\/30 + 37*i**5\/60 - 2*i**2 + i. What is the third derivative of z(n) wrt n?\nAnswer: 2184*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wwf when three letters picked without replacement from {f: 2, w: 7}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 4, d: 3, u: 1, v: 7, n: 1}. Give prob of picking 1 v and 1 d.\nAnswer: 7\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*q = 13*q - 553. Let t = -75 - q. Suppose -l = -t*r - 3 + 4, 0 = 4*l + 5*r - 80. Does 4 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1751 a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Are -9843 and -9841 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-4588407)\/(-54) - -35 - (-1 + 21\/6)?\nAnswer: 167, 509","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (120\/25)\/(3 + 1065\/(-350)). Let i be 0 + a\/(-21) + (-2)\/6. Solve -i*q = q - 24 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3 + -4 + -1)*2\/(0 - -12)?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -47 (base 8) to base 3\nAnswer: -1110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -2501849 divided by -4?\nAnswer: 2501849\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*m - 72*m + 388 + 896 = 26*m for m.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 110220102 - -201210?\nAnswer: 111122012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 114103395 a multiple of 3584?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 2125?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Product of -635 and -0.0511.\nAnswer: 32.4485","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/3 of a hour in seconds?\nAnswer: 9600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -53\/2215143 and -61\/630.\nAnswer: 22151430","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2254*d**2 - d**3 - 4*d**3 - 11*d**3 - 2254*d**2.\nAnswer: -16*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 6786\/(-1450)*370\/222?\nAnswer: -39\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -57 - -92. Let m = 35597 + -35459. Calculate the remainder when m is divided by z.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 65 is divided by 15.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 14*c - 26*c + 48 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = 711*x + 13498. Determine l(-19).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (1 - 1) + -2 + 4 - 0\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 570\/17 + -7621\/170. Let j be (4 + -3)\/(1250\/(-3863)). Let f = j + -6\/625. What is the common denominator of f and a?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j = 3*k - 45, -k + 15 = -j - 4*j. What is the remainder when k is divided by 9?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -317 - -316. Let v be (-1 - (-68)\/56)*(-6)\/9. Which is the closest to r? (a) -2\/11 (b) -4\/3 (c) 14 (d) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 minutes before 7:15 PM?\nAnswer: 7:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -101, -202, -303, -404?\nAnswer: -505","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1 + 0. Suppose -2*p + 41 = 125. Let o be p\/(-48)*1\/7. Which is the second smallest value? (a) o (b) j (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -2*x**3 - 6*x**2 - 6*x + 4. Let t(d) = -3*d**3 - 7*d**2 - 7*d + 5. Let y(w) = 5*g(w) - 4*t(w). Let z be y(3). Let c = 189 - z. Is c composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 4516 divide 1101672269?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 s, 1 i, and 1 x when four letters picked without replacement from xxsxssxpisixxxxppsxx.\nAnswer: 40\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3 - -3 - (3843\/(-3) - -4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -26 and 21.7097?\nAnswer: -564.4522","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21 = 5*l - 3*i, -7*i + 33 - 4 = -5*l for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(612) - (sqrt(612) + -3) - sqrt(612)) + 4)*5)**2.\nAnswer: -2100*sqrt(17) + 16525","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -49 - -60. Let a(q) = -6*q + d*q - 2*q**2 + 29*q + 24. Let p be a(17). Solve u = -1, 0 = 4*v - 4*u - 0 - p for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -38, 0, -111, -57, 5, -5, -2 in increasing order.\nAnswer: -111, -57, -38, -5, -2, 0, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + (-3*sqrt(133))\/sqrt(7) - (-5 + sqrt(475) + -2 + sqrt(475) + sqrt(475)))*-3.\nAnswer: -36 + 54*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-30)\/(-40) - 82\/(-8). Suppose -4 = -3*m + n, -o = -4*m - 2*n + 11. Suppose -2*k = m*g - 2*g - 140, 3*k - 210 = -2*g. Does 10 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s**3 + 1888*s**2 - 203444*s + 2316912 = 0. What is s?\nAnswer: -564, 13, 79","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand 8*l - 79 - 9*l**2 - 19 + 91 + (0 - 1 + 3)*(-4*l + 4*l - l**2).\nAnswer: -11*l**2 + 8*l - 7","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (p - 5*p + 3*p)*(0 + 0 + 3)*(-2*p + 5*p + 6*p) + (0 + 3 - 5)*(-1 + 1 - 2*p**2) - 5*p**2 + 2 - 2 to the form d + t*p**2 + m*p and give t.\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 4 - 6. Let n be (1 - (-52 + 3))*(-8)\/(-36). Let s = -106\/9 + n. What is the second biggest value in s, -3, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 198 a factor of 107514?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 111, -1, -4 in descending order.\nAnswer: 111, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 67 divide 1308587?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (c**2 + 2*c**4 - c**2)*(0 + 2 + 2)*(1 + 2 - 1) to the form y*c + l + w*c**3 + k*c**4 + u*c**2 and give k.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2, -3, -0.2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express -t**2 - 17*t**3 + 29*t**3 - 13*t**3 + 19*t**4 - 2*t in the form l*t**4 + r*t**2 + m*t + w*t**3 + u and give w.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:33 AM and 10:00 AM?\nAnswer: 387","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.1, -0.8, 2\/11, 4.1?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (11*v**3 - 14*v**3 - 11*v**3)*(-3 + 30*v**2 + 13*v - 10*v - 5*v).\nAnswer: -420*v**5 + 28*v**4 + 42*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.00121 + 0.0058. What is t rounded to three dps?\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 292 minutes before 6:03 PM?\nAnswer: 1:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -2*m + 6. Suppose -5*x = -w + 3850004, -8*x + m*w = -3*x + 3850001. Let h be -3 + (3 - (x - -1)). Round h to the nearest 100000.\nAnswer: 800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -29*o. Let i(b) = -59*b + 81. What is the remainder when i(-1) is divided by a(-1)?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1448 divided by -12?\nAnswer: -362\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3.001 - 0.259. Let p = y - 0.14. Let l = p - 0.6. Put -1\/6, l, -2 in decreasing order.\nAnswer: -1\/6, -2, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 65899.5 millilitres?\nAnswer: 65.8995","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -n**3 - 18*n**2 - 21*n - 58. Let p be h(-17). Let x(l) = l**3 - 9*l**2 - 12*l + 11. Give x(p).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 44726?\nAnswer: 2, 11, 19, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 532 minutes after 9:04 AM?\nAnswer: 5:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 + (1 - 9) - 0.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 52953 (base 12) in base 8?\nAnswer: 323717","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 4\/14 - 23\/322*-24 - 254632. Round y to the nearest 100000.\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 115709 is divided by 251.\nAnswer: 249","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in one tenth of a microgram?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 3893577361 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-9)\/6)\/((-519)\/(-3806)) + (-5)\/((-10)\/44)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 28, 24, 26, 40, 72, 128, 214?\nAnswer: 336","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4)\/(-30) + 14*(-4)\/(-480)?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*v + 2*f + 38, v - 2 = -f - 0. Let c(o) = o**2 - 7*o - 4. Let s be c(v). Let r be (4*s)\/((-3)\/45750). Round r to the nearest 100000.\nAnswer: 600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-4)\/(8\/(-4)*2\/4). Suppose -3*u - 2 = -i*t, t - 2*t - 2 = -2*u. Solve -4 = u*v - 6 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 2, s: 5, n: 1, r: 3, t: 1}. Give prob of picking 1 n and 1 s.\nAnswer: 5\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 8711.504 millimeters?\nAnswer: 8711504","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -2 - -2*(-66)\/(-1). Let x = -260 - -176. Let l = f + x. Is l a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*r - 3*r - 3*r)*(2*r - r - 2*r) - 4*r**2 + 5*r**2 + 0*r**2 - 7 - 8*r**2 + 16 - 2 + (-3 - 2*r + 3)*(10*r + 3*r - 2*r).\nAnswer: -27*r**2 + 7","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2207941*q**4 - 9*q**3 + 33049146*q + 1 wrt q?\nAnswer: 26495292*q**2 - 54*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 7527 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -87 + 97. Suppose -3*r = -m - z, 3*m - r = -4*r + 18. Solve -m*d - d - 15 = 0 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 45935823 and 14865.\nAnswer: 2973","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -6, 0.1, 43, -2, 0.827?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(sqrt(114) - sqrt(114)*1))\/(6*sqrt(486)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 317 minutes after 9:17 PM?\nAnswer: 2:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.19 from 434.9.\nAnswer: 435.09","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 782 - 507. Let s = d + 464. Is s a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -184*y**2 + 10*y - 536*y**2 - 10*y. Let n be a(-5). What is n rounded to the nearest ten thousand?\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**0)**38*q**(-2)*q*q\/q**(-3))\/((q**(1\/2))**(2\/161)*q*q**(-4)*q**(-3)*q) assuming q is positive.\nAnswer: q**(1287\/161)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.03 in 4, -2\/7, 2, -201?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 22 and 5933158.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9 = -17*a + 8*a for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = 7*w + 14. Suppose 5*t + y - 127 = 0, 3 = -0*y - y. What is the tens digit of s(t)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 276 and 1955?\nAnswer: 23460","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -f**2 + 11*f + 35. Let v = 47 - 36. Let r be c(v). Suppose a = -6*a + r. Calculate the remainder when 12 is divided by a.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-840)\/(-112)*((-276)\/5)\/(-3). Let y = 183 - w. What is the greatest common divisor of y and 720?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -109 + o + 5*o**2 + 109 in the form m*o**2 + z*o + s and give m.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -72 divided by -2.\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*b - 30 = -5*p, -11*b - 3 = -7*b - 5*p for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 29 - 42 - (-7 + (-5 - 15))?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -113230100200 (base 4) to base 15\nAnswer: -82a297","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-7)\/(-70)*4)\/((-4)\/(-10)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 + 8 - 3 - 4.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 482, 693, 976, 1313, 1686, 2077?\n\"Answer: -3*q**3 + 54*q**2 + 70*q + 361","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 32031845144.732434 + -32309111029.732. Let n = f - -277266130. Let y = n - 245. What is y rounded to five dps?\nAnswer: 0.00043","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-36)\/243 - 75\/((-891000)\/40640)?\nAnswer: 36\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 112840151 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -5.97 (b) -0.21 (c) 253\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 24824 and 32?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 0.4, -6, 2\/3 in decreasing order.\nAnswer: 4, 2\/3, 0.4, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 666 is divided by 218?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -25, -89, -261, -595, -1145, -1965, -3109, -4631?\nAnswer: -6585","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -35474*n**2 - 3730.\nAnswer: -70948*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = 10027*s**2 - 296. Let d(c) = -170*c**2 + 5. Calculate 296*d(w) + 5*r(w).\nAnswer: -185*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -76351, -152687, -229009, -305311, -381587, -457831, -534037, -610199?\nAnswer: -686311","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 842912222?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 127 a factor of 82804?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 54\/5 of a litre?\nAnswer: 10800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 313 a factor of 284671?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 860888 to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -3*r - 5. Let q(z) = -1 + 4 - 3 - 2*z - 4. Give 3*p(a) - 4*q(a).\nAnswer: -a + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = 3*q**2 + 3*q - 4. Let f be k(2). Solve 0 = -x + 2*x + 4*d + 8, 2*d - f = 4*x for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 1619, 66446, -3, 0.\nAnswer: -3, -1, 0, 1619, 66446","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from poeuuoennump. Give prob of sequence np.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.4 and -239883.223691.\nAnswer: -239883.623691","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide (40\/25)\/(2\/10500*10)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 22429 and 10879.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8\/141, -10, -1, 2, -97, 1 in descending order.\nAnswer: 2, 1, 8\/141, -1, -10, -97","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 22022, 22023, 22024, 22025?\n\"Answer: t + 22021","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-16)\/6 - 1 - -3. Let h = 33.2 - 33.4. Which is the biggest value? (a) m (b) -0.3 (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -2*q**3 - 2*q**2 + 4*q. Let v(z) = -2*z**3 - 2*z**2 + 3*z. Let a = 6 + -10. Let m(h) = -6*h - 1. Let i be m(-1). Determine a*g(j) + i*v(j).\nAnswer: -2*j**3 - 2*j**2 - j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000000084 to 7 decimal places.\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 42917, 99918, 156919, 213920, 270921?\nAnswer: 327922","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1.9239 - 0.0821. Let j = k - -0.006. Which is the closest to -3? (a) -5 (b) j (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 3\/4*(-4 + 8). Suppose k*m + 2 = -10. Put 5, 6, m in ascending order.\nAnswer: m, 5, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -5*i + 5. Suppose -3*z - 13 = -i*p, 5*p - 4 - 6 = 3*z. What is the second smallest value in -2\/7, 1\/6, p?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 18.6 - 19.609. Let m = s - -0.009. What is the closest to 14.2 in m, -0.1, -5?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = r**3 - r. Let x be j(1). Solve 5*y = -k + 5, -5*k = -2*y - x*k + 2 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 118b28 + -3?\nAnswer: 118b25","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-1 - -2 - 0) + 5. Let y(g) = 7*g**2 + 6*g + g**3 - 7 - 6 + r. What is the smallest common multiple of 7 and y(-5)?\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find d, given that -d**2\/4 - 282*d + 1129\/4 = 0.\nAnswer: -1129, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*n - 3*v - 23, -4*n + 14 = -2*v - 8. Let u be 1 + (3 - -3*4). Suppose n*a - 4*t = -0*a + 36, -4*t - u = 0. Is a a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1667 - 276. What is the highest common factor of 13 and d?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6463\/(-2175) + (-50)\/(1265 + -15) - -3?\nAnswer: -1\/87","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express (5*u**2 - 5*u**2 - 7*u**2)*(11 + 12 - 5) in the form z*u + w + j*u**2 and give j.\nAnswer: -126","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 3138*w + 3*w**2 + 1 - 5005*w + 1872*w.\nAnswer: 3*w**2 + 5*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*-6*1*((sqrt(567) - (sqrt(567) - (sqrt(567) - (sqrt(567) + 1))*1))**2 + (sqrt(567)*-2*1)**2).\nAnswer: -54456","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 4319304 a multiple of 264?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 144 minutes before 6:05 PM?\nAnswer: 3:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 3, c: 3}. Give prob of sequence occc.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -123842801+-0.11\nAnswer: -123842801.11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-7)\/(56\/(-12)))\/((-204)\/16)?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r = -g + 5, g + g + 5*r - 10 = 0. Suppose -g*y - c - 28 = 2*c, -2*y = -c + 20. Let m(x) = -53*x - 33. Is m(y) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w + 184 = h, -406 = -3*h + 4*w + 139. Let i = h - 181. Solve 0 = b - 2, i*b + 7 = 4*m - 1 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9752351 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -114*r + 79*r = -175. Solve 0 = -w - 3*a + 5*a + 10, -5*a + r = 5*w for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -151834*w + 19011 - 19011 + 152335*w.\nAnswer: 501*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = 4 - 14*z**2 + 0 + 0*z**2 + 12*z**2 - 7*z. Let v(y) = y**2 + 6*y - 3. Calculate -3*s(j) - 4*v(j).\nAnswer: 2*j**2 - 3*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*y + 4 = 2*l, -32*l + 36*l - 4*y = 8 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4 - (8 - 7)) + 2 - (-14 + 2).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -643.89 - -640. Let i = 0.11 - h. Let f = -4.2 + 4.1. Which is the closest to 0? (a) -1\/2 (b) f (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 + 2 + 2*r)*(-2*r + 5*r + 5*r) - r**2 + 2*r**2 + r**2 + 30 - 30 - 2*r + 3*r**2 as a + t*r + w*r**2 and give t.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -2*a**3 - 4*a**2 + 46*a + 3. Give f(4).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -11522, -11534, -11558, -11600, -11666, -11762?\nAnswer: -11894","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d**4\/4 + 105*d**3\/4 - 5313*d**2\/4 + 35535*d\/4 + 20475\/2 = 0. What is d?\nAnswer: -65, -1, 10, 21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*v - 431 = -5*m - 421, -2*v + 4*m = -10 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 114 + 23432?\nAnswer: 23550","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 136 - 362 = -15*i - 661. Which is the smallest value? (a) 2\/9 (b) 11.2 (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -283.901008003 + -0.5.\nAnswer: -284.401008003","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -45 + -35 + 41 - -36\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y + 15 = 4*s, 1 + 0 = -y. Suppose -7 = s*r + 8. Let k = r + 20. What are the prime factors of k?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(sqrt(539) - -5*(2*sqrt(539) - sqrt(539)))**2.\nAnswer: -77616","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express -131*v + 9*v**2 - 2 - v**2 + 148*v - 6*v**2 - v**3 - 1 as s*v**2 + x*v**3 + m + z*v and give s.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2016 by -288.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(sqrt(450) - -3*sqrt(450)*-4))\/(-3*(sqrt(72)\/sqrt(2) - sqrt(36) - sqrt(36))*1).\nAnswer: -110*sqrt(2)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -56\/507 and 50.\nAnswer: 507","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is j in -50*j**4 + 490*j**3 - 1368*j**2 + 872*j - 160 = 0?\nAnswer: 2\/5, 4, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p = f - 1152, -5*p + 175 + 1290 = -5*f. Is p a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1832?\nAnswer: 2, 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1878286*t**4 + 1393*t - 168?\nAnswer: 22539432*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -k**2 - 227*k - 11478. Calculate z(-151).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 102100 to the nearest integer?\nAnswer: 320","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = t**3 - 84*t**2 + 265*t - 11. What are the prime factors of u(86)?\nAnswer: 37571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*i**3\/9 - 34*i**2\/9 + 28*i\/9 + 64\/9 = 0. Calculate i.\nAnswer: -1, 2, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p = 2*p - 9. Suppose 0 = -4*z - 12, p*i - z - 31 = -i. Suppose 5*q - 2*g - 69 = -4*g, -i = -q + 3*g. List the prime factors of q.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4213, 4215, 4217, 4219, 4221, 4223?\nAnswer: 4225","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = h**2 - 6*h - 112. Determine x(14).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 2 - 4)*(-4 + 2 + 1)*(-18*n - 110 + 110)*(-442*n + 880*n - 436*n + 1).\nAnswer: -72*n**2 - 36*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 1, q: 1, r: 1, h: 1, l: 1}. What is prob of picking 1 r, 1 h, and 1 y?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -19, -33, -41, -37, -15?\n\"Answer: n**3 - 3*n**2 - 12*n - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f = -3*f - 1. Suppose 3*l - 36 = -l. What is the remainder when l is divided by ((-1)\/3)\/(f\/(-15))?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -4*h - 15. Let b be s(-5). Suppose 2*n + b*v - 247 = 0, n + 2*n = 2*v + 361. What are the prime factors of n?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 10 - s - 10 + (-7*s + 2*s + s)*(1 + 1 - 3)*(-1 - 3 + 2) + s + s - 4*s.\nAnswer: -11*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 319\/130 - 69\/26. What is the smallest value in -2\/11, -3, 1, 5, g?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-14268)\/(-615)*35\/(-28)?\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 s when two letters picked without replacement from {g: 1, s: 3}.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 44776 - 44776 - 51*d.\nAnswer: -51*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (-97 - -88) + (9 - -1) + 53?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = v + 12. Calculate the remainder when 33 is divided by h(-5).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-23)\/(-46))\/(2\/12).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -8390 - -23?\nAnswer: -8367","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 2 (base 16) to base 13\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 2\/((-4)\/(-3))*-10. Let x be (b\/(-20))\/((-2)\/(-8)). Solve 0*t = -3*t + x for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 668 is divided by 169.\nAnswer: 161","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 227\/5 (b) -0.4 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 58480 divided by 34?\nAnswer: 1720","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j**5\/2 - 789*j**4 - 282465*j**3\/2 - 9085689*j**2 - 84487536*j + 339111360 = 0. What is j?\nAnswer: -178, -168, -15, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 404*w + 1848 = 481*w. Which is the nearest to -0.1? (a) 4 (b) w (c) 0.08 (d) 4\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -22\/25 + 229\/175. Let z = 2.95 + -3. Let q = 2.05 + z. What is the biggest value in f, q, 0.4?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*o = -2*o, 0*o + 2*o = 5*f + 5 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 4456 in 5, -3, -0.03, 4, -1\/6?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*b = -7*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 493 minutes before 1:38 AM?\nAnswer: 5:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -c. Let n(p) = -p**2 + 14*p + 25. Let o(x) = 2*a(x) - n(x). Let f be o(17). Let k be (-12)\/f*10\/5. Solve -2*g + 18 = k*u, g = -0*g - 5*u + 23 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*b + 53*b**3 - 3*b**3 - 7*b.\nAnswer: 50*b**3 - 4*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2124467685 to the nearest integer?\nAnswer: 1286","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w + m - 32 = 0, 0 = -5*w + 3*m + 2*m + 50. Let r be (-1*10\/2)\/1. Let c be (-2)\/r + (-6)\/15. Solve -3*k + w + 8 = c for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 5\/8 of a millimeter?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 102, 189, 262, 315, 342?\n\"Answer: -i**3 - i**2 + 97*i + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4319 is divided by 196.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*k**4 + 461*k**3 - 463*k**3 + k**4 + k**4 - 2*k to m*k**4 + u + i*k**3 + a*k + w*k**2 and give i.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (0 + -1)\/(2\/(-28)). Suppose -y - y = -h. Solve 5*q = -5, 0 = -4*l - q - 2*q - y for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2\/19, -21, 0.01, -8.4?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2\/5091 - -23764\/15273. Sort 3, a, -4.\nAnswer: -4, a, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) be the first derivative of -u**4\/14 - 2*u**3\/3 - 2*u**2\/7 + 80*u\/7 - 500. Factor x(y).\nAnswer: -2*(y - 2)*(y + 4)*(y + 5)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 27\/(-4)*(-29952)\/216.\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) be the third derivative of v**5\/60 + v**4\/4 + v**2. Let t be y(-6). Suppose t = -4*g + 15 + 9. What are the prime factors of g?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -22081, -23326, -25401, -28312, -32065, -36666, -42121?\nAnswer: -48436","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 9*s + 64 - 181. Calculate the greatest common divisor of 104 and s.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -569 + 1732. Suppose 2*w = -2*w + 3*r + 1151, 4*w + r = i. What is the tens digit of (-2)\/(3 - w\/95)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-10 - 2 - 8)*(-10*d - 19 + 19).\nAnswer: 200*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = r**3 - 12*r**2 - r - 9. Let n be z(12). Let g = n + 40. Solve g - 7 = 4*t for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 37 and 1332.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4149*w - 4008 - 4005 - 4011 + 12024.\nAnswer: 4149*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 81375780 or 81375774?\nAnswer: 81375774","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o - 26 = 275*l - 277*l, o - 82 = -5*l. Calculate the remainder when 442 is divided by l.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = 5477058*n. Let y(l) = -97*l. Give i(y(x)).\nAnswer: -531274626*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*b + 41*b**2 + 7*b - 16*b**2 - 14*b**2.\nAnswer: 11*b**2 + 10*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 220050 to the power of 1\/10, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 4548 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5777 is divided by 1443?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 2070.648 nanometers in centimeters?\nAnswer: 0.0002070648","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 9.92319 seconds?\nAnswer: 9923190","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 18482856169 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 6060 a multiple of 30?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -2225579*k + 2225574. What is d(1)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -23 - -24. Let k be (-231)\/4*(a - (8 + -3)). What is the highest common divisor of 21 and k?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 902*i**2*v - 32*i**2 - i - 14 wrt v.\nAnswer: 902*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-15)\/(-3)*-1)\/(-1). Suppose -f - n*m + 8 = 0, 4*m - m = 5*f - 180. Calculate the remainder when f is divided by 17.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1964 divided by 5\nAnswer: -1964\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -a**2 + 8*a + 12*a + 15*a - 4*a + 84. Let q be s(32). Calculate the highest common factor of q and 364.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 4, 2, -16, 0, 5287 in ascending order.\nAnswer: -16, 0, 2, 4, 5, 5287","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 32ba740 (base 12) in base 9?\nAnswer: 20226633","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 + 2*f**2 - 3*f**2 + 3*f**2 + 2.\nAnswer: 2*f**2 + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = 2*h**3 - 6*h**2 - 12*h - 7. Let v(j) = j**3 - 5*j**2 - 10*j - 6. What is 6*v(u) - 5*x(u)?\nAnswer: -4*u**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y and 2 m when three letters picked without replacement from mmmmmmymmyymmmm.\nAnswer: 198\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 3\/8 (b) -12.32 (c) -588\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*j - 53 - 127 = 0. Suppose -7*s + 3471 - j = 0. What are the prime factors of s?\nAnswer: 17, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 279\/5 + -3064\/55. Suppose 2*j = h + 4*h, h - j = 0. Do h and w have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = 13*n - 8*n - 2*n. Let v(s) = -107*s - 1. Give v(m(r)).\nAnswer: -321*r - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -9 + (-10 - -36 - 10)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 861 divided by -1\nAnswer: -861","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) be the third derivative of -12*j**2 + 0*j + 0*j**3 - 3\/4*j**4 - 1\/5*j**5 + 0. What is the second derivative of o(k) wrt k?\nAnswer: -24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) be the first derivative of -r**2 - 5*r + 9364. Let y be (-2 - (1 + -2))*0. Suppose -i = y, 4*o = 3*i - 5 - 19. Calculate j(o).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 5*a - 46. Suppose -a*j = -6*j - 12. Sort j, 1, 13, 2 in increasing order.\nAnswer: 1, 2, j, 13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1288 smaller than -1285?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) be the second derivative of -g**4\/12 - 7*g**3\/6 - 3*g**2 + g. Let y be i(-6). Let j = y - 0. What is j rounded to the nearest 100000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -3145\/2, 0.1 in ascending order.\nAnswer: -3145\/2, -3, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 3946141631 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/7, 3, -1\/2, -8\/3 in descending order.\nAnswer: 3, -2\/7, -1\/2, -8\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.6? (a) 3 (b) -4 (c) -0.3 (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = 9*w**3 + 7*w**2 + 10*w + 43. Is n(9) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -2*i**2 - 52*i + 6. Let k(q) = 18*q - 8. Let r be k(-1). Let g be l(r). Solve -g + 1 = -5*c for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -i**3 - 5*i**2 + 8*i - 2. Let v be o(-7). Let s = v - 159\/4. Which is the closest to -0.2? (a) 2\/7 (b) -0.2 (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -b**3 - 11*b**2 + 2*b + 23. Calculate r(-11).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-14 - -12) + -4*16\/(-30). Let l(v) be the first derivative of 0*v**2 + 6 + m*v**3 - 2\/5*v. Factor l(r).\nAnswer: 2*(r - 1)*(r + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nnaatassahtjjsnsana. What is prob of sequence js?\nAnswer: 4\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-1572)\/660 - ((-1260)\/154 - -8) and 58\/18 + (-3)\/(-2).\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 63 is divided by 27.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -m**3 + 2*m**2 + 3*m - 2. Let x be v(3). Let j be ((-14)\/21)\/(x\/30). Let b = -132 + 222. What is the highest common factor of j and b?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*l**2 - 11281505 + 11281506 + 73*l**2.\nAnswer: 70*l**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -10286 divided by -2?\nAnswer: 5143","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from loi. Give prob of sequence oi.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 3*t - 7 + 5)*(0*t + t + 2*t)*(3 + 2 - 4 + 1 + 0 + 0 + (-4 + 0 + 5)*(3 + 1 - 2) - 3 + 2 + 3).\nAnswer: 54*t**2 + 18*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -b**3 + 4*b**2 - 2*b. Let h be c(3). Suppose -h*y - 4*u = -17, u = 3*y - 10 + 3. Let p(a) = -y - 3 + 0 + a**3 - 4*a**2 - 2*a. Calculate p(5).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -n**2 - n - 3. Let d(y) = -6*y**2 + 7*y - 2. Let b(z) = d(z) - 4*u(z). Let t be b(6). Solve -4 = -3*k + 2*g, 4*k - 4*g + 0*g = t for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 24 and 3576?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 12479, 12487, 12499, 12515?\n\"Answer: 2*n**2 + 2*n + 12475","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 265861207 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 207762*p**2 - 8*p**3 - 207760*p**2 + 10*p - 7*p - 11*p + 5*p**4 - 17*p to o*p**2 + s*p + u + j*p**4 + i*p**3 and give j.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 6522 (base 7) in base 8?\nAnswer: 4417","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f = 2*x - 25, -2*x - 2*f + 34 = 8. Let s(h) = h**3 + 7*h**2 + 6*h + 26. Let c be s(-9). What is the common denominator of 111\/22 and c\/8 - (x - 11)?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4*13\/((-286)\/(-55))\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 6197776583 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -x**3 - 5*x**2 + x + 20. Let f be t(-4). Suppose 5*r + 10 = 0, -3*h = r - f*r - 7. What is the remainder when 45 is divided by h?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 342 + ((-12)\/(-9))\/4*-3. Let f = p + -352. Let n = 2.01 - 0.01. Which is the nearest to f? (a) -2\/9 (b) n (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 21 + 5615?\nAnswer: 5636","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 y when two letters picked without replacement from {y: 2, k: 3, u: 6, i: 2}?\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -d**2 + 18*d + 12. Let s be l(10). Let p = s - 63. Let n = p - 23. What is the second smallest value in n, -1\/4, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.4 greater than or equal to 49818861?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*c**4\/5 + c**3\/5 - 26*c**2\/5 - 4*c + 24\/5.\nAnswer: (c - 3)*(c + 2)**2*(3*c - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor -108\/5*u - 2\/5*u**3 - 16 - 6*u**2.\nAnswer: -2*(u + 1)*(u + 4)*(u + 10)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.02 - -0.16. Let u = -24.18 + n. Let v = u - -24.0000056. Round v to 6 dps.\nAnswer: 0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -13*(-14)\/91*1\/7*1?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor z**2\/5 - 144*z\/5 - 8977\/5.\nAnswer: (z - 191)*(z + 47)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 52 - 53.7. Put 3, 0.3, g in increasing order.\nAnswer: g, 0.3, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-36)\/21 + 6\/(-21). What is the common denominator of (-109)\/(-10) - (q + 2) and 63\/2?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -o**2\/7 - 4*o + 645\/7.\nAnswer: -(o - 15)*(o + 43)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 220020 (base 7) to base 5.\nAnswer: 2212210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b, 1 x, and 2 j when four letters picked without replacement from {j: 8, b: 5, u: 2, x: 4}.\nAnswer: 140\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) be the third derivative of 203*j**5\/20 + 361*j**4\/24 + 536*j**2. Find the second derivative of h(z) wrt z.\nAnswer: 1218","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (6 + 11 - 7)*(-2 - 2*w + 2) in the form a + t*w and give t.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -f + 3. What is the units digit of i(-5)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 102221221 + -110121?\nAnswer: 102111100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-328*h + 160*h + 412 + 169*h)*(0 + 5 - 2)*(5*h - 5*h + 4*h).\nAnswer: 12*h**2 + 4944*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 61\/53331 and 1\/20229.\nAnswer: 586641","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 86629 to the nearest integer?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.98 and 1550795?\nAnswer: -1519779.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/10 of a gram in milligrams?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) be the third derivative of 0*a + 1\/12*a**4 + 5\/6*a**3 + 20*a**2 + 0. Let s be r(0). Solve 12 = -s*f - 8 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine j so that -5*j**5 + 4320*j**4 - 704980*j**3 + 31951050*j**2 + 36942345*j - 196118010 = 0.\nAnswer: -3, 2, 99, 667","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -4\/389 + 3148\/3501. Let t = l - 10\/9. What is the nearest to 1 in 1, t, -2\/17?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -1238166*k + 10. Let j(z) = -2*z. Give j(i(s)).\nAnswer: 2476332*s - 20","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 9, c: 5}. Give prob of sequence ccc.\nAnswer: 5\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -1243837656 divided by -103653138\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(-5 + (-5*-2*3*2*sqrt(832))**2).\nAnswer: 17971170","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -s - 2*s - 2*l - 1, -l - 6 = -4*s. Let b be -3 + s + 64\/12. Which is smaller: 4 or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -6*s - 7. Let t be b(-3). Let j = -7 + t. Solve -j*n = -3*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 272327821 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1012 and 19530082?\nAnswer: 39060164","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -166 + 3746?\nAnswer: 35a0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 146 - -296. Calculate the greatest common divisor of 527 and b.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -2 + 7784e5?\nAnswer: 7784e3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 11016?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 9, d: 10}. Give prob of picking 2 c.\nAnswer: 4\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 3533060?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:15 PM and 6:31 AM?\nAnswer: 556","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 69191 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/3 in 0.2, -15, -1\/10, 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = b - 1. Let g be x(4). Let m be 0\/(5 - g - 1). Sort 2, -5, m in increasing order.\nAnswer: -5, m, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-1668)\/(-18) - (-5)\/(-3). Let o = 19 + -6. Calculate the greatest common divisor of b and o.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 41\/10 - (-410)\/(-4100)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 44 - -57. Let z = -173 + 261. Let p = c - z. Put 2\/9, 2, p, 0 in descending order.\nAnswer: p, 2, 2\/9, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 3 - 2646831?\nAnswer: -2646829","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2387601 to the nearest integer?\nAnswer: 1545","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(272) - ((-1*(sqrt(272) + sqrt(272) + 2 + sqrt(272)))**2 - sqrt(272)) - (-4 + (sqrt(272) - sqrt(272)*-2))**2) + ((4*(sqrt(272) + -1) + 3)*-4)**2.\nAnswer: -456*sqrt(17) + 64732","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -9474*i - 9474*i + 18942*i. Let t(z) = -3*z + z + z. Determine c(t(k)).\nAnswer: 6*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 12 - 10. Factor -93 + 4*d**c + 93 - 12*d.\nAnswer: 4*d*(d - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 332510 (base 10) to base 2.\nAnswer: 1010001001011011110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -33 and -1.7.\nAnswer: 56.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*l**3 - 25*l**2 + 320*l + 700 = 0. What is l?\nAnswer: -10, -2, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 59320473\/69502 + -993\/2242. Let z = 853 - c. Which is smaller: z or 1?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1610247, -1610251, -1610257, -1610265, -1610275, -1610287?\nAnswer: -1610301","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*b**3 - 85*b**2 - 2480*b + 2560.\nAnswer: 5*(b - 32)*(b - 1)*(b + 16)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 106 is divided by 28.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r - 2 = -3*c, r - 2*c + 3*c = 0. Let v be (25 + -2)\/(r\/2). Let h = -12 + v. Is h a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3 = 3*b + b - o, 5*o = 4*b + 1 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -5, 8, -0.4.\nAnswer: -5, -3, -0.4, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -25\/54 + 1231\/54. What is the common denominator of q and 4\/(-4) - 58\/(-5)?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (1\/(-6))\/(7\/70)\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/(-5) + 5 + -6?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 1, -5479 in decreasing order.\nAnswer: 1, -2, -5479","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -4 - (-1 + 0 + -3 - -2)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -30 = -5*n + 4*c, 0 = 2*n - 5*c - 10 - 19 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -8763*m**3 - 2*m**2 - 162*m - 32 wrt m?\nAnswer: -52578","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lljj when four letters picked without replacement from {c: 4, l: 9, j: 3}?\nAnswer: 9\/910","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 770328?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -27.465 - -0.265. Let q = 42346264979 + -42346265006.200000139. Let r = i - q. Round r to seven dps.\nAnswer: 0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*i = -3*i - 32. Let l be i\/1 + 16\/6*6. Let g be 6\/l - 50*(-3)\/42. Sort 3, g, 1, 0 in ascending order.\nAnswer: 0, 1, 3, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**6\/((u*(u\/(u**(-5)*u*u)*u)\/u)\/u))\/(u**(4\/7)*u**(-7)) assuming u is positive.\nAnswer: u**(59\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 5 - 1. Let a be 75\/(-20)*x\/(-12). What is the nearest to 2\/5 in 4, -0.03, a?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**3\/g)\/(g**(2\/11)\/g))\/(g**(-6)*g*g**(-2\/9)\/g) assuming g is positive.\nAnswer: g**(895\/99)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -6885 and -0.183.\nAnswer: 1259.955","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*z**3 + 0*z**3 + z**3)*(-3*z**2 + 3*z**2 + 2*z**2) + (0*z - z - z)*(-3 + 2 + 2)*(4*z**4 + z**4 - 7*z**4).\nAnswer: 6*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 9, u: 4, o: 3, h: 2, s: 1}. What is prob of picking 1 h and 1 o?\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -93 - -95. Suppose -4*q + i*q + 418 = 0. Is q composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (14 + 6 - 7)*(-2*n + 3 - 3) - n - 3 + 3 to the form b + k*n and give k.\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**(2\/25)\/(t**7\/t))\/(t*t\/(t\/(t*((t*t**(-1\/10))\/t*t)\/t))*t*t**(-4)))**(-2\/3) assuming t is positive.\nAnswer: t**(241\/75)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sum -305.41 and -12.\nAnswer: -317.41","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -16*g. Suppose 5*a + 25 = -v, 4*a + 8 = -4*v - 12. Let y(q) be the first derivative of -2 + v*q**2 + 0 - 3*q**2 + 4*q**2. Give y(o(u)).\nAnswer: -32*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide 291685333 by 4.\nAnswer: 291685333\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when ((-4)\/(-6))\/((-1)\/(-54)) is divided by 13.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -23991178512 - -38.\nAnswer: -23991178474","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1.73462 and -2.71.\nAnswer: 4.7008202","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2071770*p**4 - 11*p**2 + 63967 wrt p.\nAnswer: 49722480*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/6*(-17)\/(-51)?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-5)\/3)\/5*-6. Let z = 4 + n. What is the units digit of z?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -4.74 in -5, 0.06, -0.4?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -25 (base 9) to base 10\nAnswer: -23","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:11 AM and 11:23 AM?\nAnswer: 492","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/5 of a litre in millilitres?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1\/6 (b) 2\/7 (c) -0.5 (d) -27116 (e) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5 - 285*n + 58*n - 4.\nAnswer: -227*n + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -7 - -4 - (0 - 4 - (6 - 4))\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -23\/470 and -97\/6204.\nAnswer: 31020","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 3\/4 + 735\/(-20). Let o = h + 40. Is o\/12*-3*-174 a multiple of 29?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1 and -84.\nAnswer: -84","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1 minus -0.0609?\nAnswer: -0.0391","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 17994 and 3169943?\nAnswer: 19019658","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*a + 3 = 3*x + 4, a - 4*x = -10 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 214?\nAnswer: 2, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ocgr when four letters picked without replacement from {o: 3, g: 1, c: 9, r: 1}.\nAnswer: 9\/8008","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -79*i**3 + 42*i - 137*i - 384*i - 68*i.\nAnswer: -79*i**3 - 547*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -5*q - 9*q**2 + 65*q**3 - 8*q + 9*q wrt q?\nAnswer: 390","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 0\/(-2)*2\/4. Suppose y = c - 0*c. Suppose c = 3*f - 102 - 12. Is f a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve v + 2 = 0, -11*v + 10*v = z + z + 4 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = 8*u**3 - 12*u**2 + 214*u + 6. What is x(9)?\nAnswer: 6792","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w + 75 - 55 = 0. Solve q - 2*f = 3, -w*q - 5*f + 24 = -f for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 23059783 to the nearest one hundred thousand.\nAnswer: 23100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*g**6 - 440764*g**3 - 963454*g**2.\nAnswer: 240*g**3 - 2644584","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + ((sqrt(2) - (-1 + sqrt(2))) + -4 - sqrt(2)) + sqrt(288).\nAnswer: -3 + 11*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 80\/15 - (5 + 1). Which is the second smallest value? (a) m (b) -1\/3 (c) 1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5413*r + 4268*r - 9754*r - 4 - 2605*r + 3.\nAnswer: -13504*r - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -15 in 6, -5\/7, 3, 11\/6?\nAnswer: -5\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 83038?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence grgb when four letters picked without replacement from lgrggabllbrgrgag?\nAnswer: 3\/728","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3\/(-2))\/(3\/2).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -11*t - 32. What is p(-4)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.2 - 0.4. Let y = 14.3 - 14.6. What is the closest to 1\/4 in 5, y, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 167 - 164. Find the common denominator of -83\/4 and (-566)\/336 + 6\/y.\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(33) - sqrt(132)\/sqrt(4)*-4)\/(5*sqrt(22)\/sqrt(2)) - 1*(-5*(sqrt(192) + 2 + 1*sqrt(192)))**2.\nAnswer: -19300 - 1599*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -3*l - 3*l + 5*l + 4*l. Let w(s) be the third derivative of -s**5\/10 + s**2. What is w(j(q))?\nAnswer: -54*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 2576000 a multiple of 896?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 16753 is divided by 1673.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert -12323 (base 4) to base 9.\nAnswer: -542","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*x + 3*x + 15 = 0. Suppose y - 1 = 4*u - 9, 6 = x*u + 2*y. Suppose u*d = d - 13. Do 1\/4 and d have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -257 - -361. Calculate the remainder when 518 is divided by s.\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 96 + 12. Suppose -24 = 4*d - w. Calculate the remainder when 82 is divided by d.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1700 and 408?\nAnswer: 10200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 4, f: 12, m: 3, e: 1}. What is prob of sequence hmm?\nAnswer: 1\/285","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -357 = -2*i + 127. What is the greatest common factor of 22 and i?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 15.84 + -15.64. Let q = 10.8 - 14. Which is bigger: g or q?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 73 = -6*w - 83. Let o be (-9918)\/(-247) + 4\/w. Calculate the greatest common divisor of 10 and o.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 63 and 2576304?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -2*j - 17. Let u be m(-17). Suppose -u*q + 15*q = -24. Calculate the remainder when 19 is divided by q.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) be the third derivative of 0 + 0*z + 6*z**2 + 0*z**6 + 0*z**3 + 7\/60*z**5 - 1\/35*z**7 + 0*z**4. What is the third derivative of x(r) wrt r?\nAnswer: -144*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6\/(-10))\/((-91776)\/2480 + 22 + 15).\nAnswer: 93","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 0, 1, -270 in descending order.\nAnswer: 4, 1, 0, -270","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11 + 17*n**2 + 30*n**2 - 46*n**2.\nAnswer: n**2 + 11","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 652 - 651. Which is the closest to 1? (a) 0.1 (b) -0.2 (c) q (d) -0.15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*b - 446 - 444 = -5*n - 891, -5*b = 2*n + 40 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 2 and -1690999?\nAnswer: -3381998","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3043*b**2*m**2 - 120*b**2*m - b**2 + b wrt m.\nAnswer: 6086*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = 0 + 0 + 31*p - 26*p. Let g(t) be the second derivative of 0*t**2 - 1\/6*t**3 + 7*t + 0. What is g(b(o))?\nAnswer: -5*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -52605, -52609, -52615, -52623?\n\"Answer: -p**2 - p - 52603","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) be the first derivative of -49*l**4\/3 + 308*l**3\/9 - 64*l**2\/3 + 16*l\/3 + 167. Find g, given that h(g) = 0.\nAnswer: 2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = 3*m. Let b be 2\/(-6) + 21\/9. Let f(q) = 3*q - b*q + q. Give f(p(z)).\nAnswer: 6*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -79\/100 and -53\/317406?\nAnswer: 15870300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 7733.069 rounded to the nearest one hundred?\nAnswer: 7700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mm when two letters picked without replacement from mtyffeyffeeieif.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert -21304300 (base 5) to base 7.\nAnswer: -1355050","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = 41*o - 5. Let l(h) = -h. Let c(k) = -22*k + 2. Let p(n) = c(n) - 2*l(n). Let d(u) = 7*p(u) + 3*t(u). Give d(1).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 14*v**2 - 25*v**2 - 10*v**2 + (3*v + 0*v - v)*(-v - v + 3*v) - 86*v + 86*v + 5*v**2 in the form g + p*v**2 + z*v and give p.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 113071, -2\/13, -2\/3 in increasing order.\nAnswer: -2\/3, -2\/13, 113071","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 604118*d*s**4 - 6*d*s**3 - 17573*d*s**2 - 135*s**2 wrt s?\nAnswer: 14498832*d*s - 36*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 842, 10, -5, 1, -147 in descending order.\nAnswer: 842, 10, 3, 1, -5, -147","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (641 - 378) + -177 + 2 + -1 + 1?\nAnswer: 88","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (53*x**5 + 7873*x**2 - 2*x**3 - 7873*x**2 + 2*x**3)*(-28 - 24 + 6)*(-3 + 5 - 3).\nAnswer: 2438*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 907223301 a multiple of 1121?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3)\/(-648)*18*9.\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -260*i**2 - 235*i**2 - i - 52*i**2 + 56*i**2 + 80*i**2.\nAnswer: -411*i**2 - i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) be the first derivative of j**6\/30 + 5*j**4\/6 + 5*j**3\/3 + 4. Let w(c) be the third derivative of y(c). What is the first derivative of w(x) wrt x?\nAnswer: 24*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 170 minutes after 8:22 AM?\nAnswer: 11:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -1896 divided by 2\nAnswer: -948","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e, 1 i, and 1 x when three letters picked without replacement from {t: 1, i: 3, o: 1, x: 2, b: 1, e: 3}.\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence enw when three letters picked without replacement from eleewaenleaewnewe.\nAnswer: 1\/85","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 17231 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -62 + -1ab?\nAnswer: -22d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -42 - -708\/17. Which is bigger: 0 or b?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -2*b**2 + b + 2. Let o(t) = -9 + 8 - 70*t + 68*t - 1 + 3*t**2. What is -4*d(v) - 3*o(v)?\nAnswer: -v**2 + 2*v - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -12065 + 18089. Calculate the remainder when d is divided by 45.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 1800*m**4 + 1522 wrt m?\nAnswer: 7200*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 186 minutes after 8:21 PM?\nAnswer: 11:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 390 and 191334.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express ((0 + 2 - 1)*(-d - 3*d + 3*d) + 2 + 3*d - 2)*(2 - 5 + 1) in the form c + p*d and give p.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((x**5)**(-11))**(10\/3))**44 assuming x is positive.\nAnswer: x**(-24200\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-14)\/(-44)*(-308)\/(-539). What is the closest to -0.01 in -4, 0.2, 4\/9, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -w**2 - w. Calculate n(-3).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 67931482?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 11, l: 9}. Give prob of picking 4 q.\nAnswer: 22\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 minus 0.58452?\nAnswer: -4.58452","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3*(-5 + (-3 + 2 + sqrt(192) - sqrt(192)) + sqrt(192) + 3) + 5)**2 + -2)*4.\nAnswer: -768*sqrt(3) + 6968","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 397 divide 854968?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = m**3 + 5*m**2 - 9*m - 17. Let s(d) = -d**3 - 55*d**2 + 182*d + 3871. Let g be s(-57). Calculate u(g).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 346957 - -1386222?\nAnswer: 1733179","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = 38*q**3 + 2*q**2 - 2*q + 2. Let u be l(2). Suppose -7*i - 3*i = -u. What are the prime factors of i?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2.7 - 2.3. Let x = 0 - -0.1. Let o = x - -0.2. Sort o, j, 5 in ascending order.\nAnswer: j, o, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 43542?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (0 - 18\/(-5)) + 282\/(-470). Let k(l) be the third derivative of 0 + l**2 + 0*l + 2\/3*l**i - 1\/15*l**5 - 1\/6*l**4 + 1\/30*l**6. Factor k(t).\nAnswer: 4*(t - 1)**2*(t + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 896 + -686.5. Let t = 127.85 - 3.25. Let h = t - a. What is h rounded to the nearest ten?\nAnswer: -80","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 11 - 6. Suppose 0*q = q + 3*u + 1, t*q + u - 9 = 0. What is the smallest common multiple of q and 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = z. Let i(q) = q**2 + 2*q - 24. Let g be i(-6). Let p(u) be the second derivative of g*u**2 - u - 1\/6*u**4 + 0 + 0*u**3. What is k(p(y))?\nAnswer: -2*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = a + 6. Suppose -4 = -2*n + 8. Let x be c(n). Is 12 bigger than x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-16*c**2 - 140 + 140)*(948 + 188*c - 1957*c**2 - 190*c + 1956*c**2) to the form f + z*c**4 + t*c + j*c**2 + a*c**3 and give j.\nAnswer: -15168","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -106*y = -110*y + 4*s - 20, -5*y = -2*s + 25. Let i(g) = g**3 + 5*g**2 - 7*g - 25. What is i(y)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k = -7*k - 3*p + 66, -74 = -5*k + 4*p. Let b = -18 + k. Suppose 2*m = -5*h + 1771, -h + b*m - 4*m = -365. Is h a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -321, -100, 121, 342, 563, 784?\nAnswer: 1005","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 2 - (-3 + 6) - -3. Suppose 3*r = 4*k - 70, -3*r = -c*k - 0*k + 38. Round k to the nearest 10.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 344544586*f - 424756464?\nAnswer: 344544586","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 39 divided by -34\nAnswer: -39\/34","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 7 (b) 2620 (c) -4\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1764\/(-1302))\/(-21) - (4468\/62 - 2).\nAnswer: -70","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Determine z so that -z**2 - 194*z - 9409 = 0.\nAnswer: -97","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*m**2 + 164*m - 93438.\nAnswer: 2*(m - 179)*(m + 261)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 17271628 to the nearest one hundred thousand.\nAnswer: 17300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:13 PM and 1:21 AM?\nAnswer: 428","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = 2*n - 15. Let z(k) = 2*k - 1. What is -w(r) + 2*z(r)?\nAnswer: 2*r + 13","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 + h)*((-3*h + h + 3*h)*(h**3 - h**3 - 3*h**3) - 3*h**4 + 5*h - 5*h).\nAnswer: -6*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + -4*5*(sqrt(98) - (1 + sqrt(98)) - sqrt(98)) + -3 + (-5*-5*(sqrt(98) + 0 + sqrt(98))*-2)**2.\nAnswer: 140*sqrt(2) + 980021","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide 494?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.030286 to four decimal places.\nAnswer: 0.0303","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-18)\/(-315) + (-2)\/10?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y = -3*b + 13, 11*b + 52 = 15*b - 2*y. What is the remainder when 13 is divided by b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000009256787 rounded to seven dps?\nAnswer: -0.0000093","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-2)\/(-7) - (-341)\/7. Let x(i) = 2*i**2 - i + 3. Calculate the remainder when x(4) is divided by (-14)\/l + (-79)\/(-7).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1309279 and 108758.\nAnswer: 34041254","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**7\/(g\/(g**(5\/2)\/g)*g)*g**(4\/7)*g**(4\/5))\/((g*g*g*g**(-2)*g*g*g)\/g**(3\/4)*g**(1\/2)\/(g*g**(2\/5))) assuming g is positive.\nAnswer: g**(773\/140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put 18, 5, 6, -3, 0, -4 in decreasing order.\nAnswer: 18, 6, 5, 0, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 501 minutes before 1:52 AM?\nAnswer: 5:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a + 15 = 19. Suppose -a*x - 85 = x. Let w = 38 + x. Is 20 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 - -44.5.\nAnswer: 49.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40 = -0*o + 4*o. Let l(u) be the second derivative of 7*u**3\/6 + 8*u**2 + 162*u. Is 11 a factor of l(o)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from iyyiyyyi. What is prob of sequence iyy?\nAnswer: 5\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -5732 - -5731. Let t = 0.2 + -0.2. Let k = t - 1. What is the nearest to w in 5, -3, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -29, -25, -21, -17, -13?\n\"Answer: 4*k - 33","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 3, l: 7, y: 2}. Give prob of sequence vlvy.\nAnswer: 7\/990","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 37107 and 1004283?\nAnswer: 1197","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2450*m = 2444*m + 129714. Is m composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i - 3*w = 0, 2*w = -2*i + w + 4. Suppose -i*n + 20 = 2*n. Solve 7*t - 3*t = n for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.15 and -221.\nAnswer: -33.15","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: ((-6)\/15*(-5)\/1)\/8\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6 + 11 - -9) + -9?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -5*h**3 + 59*h**2 - 392*h - 449. Let y(b) = -3*b**3 + b**2 - 2*b + 1. Let n(i) = l(i) - y(i). Factor n(r).\nAnswer: -2*(r - 15)**2*(r + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -103.2 - -104.2. Which is the nearest to -2? (a) 3 (b) -1 (c) -2\/15 (d) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-5*w - 10*w + 31*w)*(9 - 9 - w**3) to z + n*w**3 + h*w**2 + v*w**4 + a*w and give z.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put together 1037003066068 and 0.0113.\nAnswer: 1037003066068.0113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put 10, -2\/5, 12\/11, 58, 0.245, -2 in decreasing order.\nAnswer: 58, 10, 12\/11, 0.245, -2\/5, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 172*c**4 + 677*c**2 wrt c.\nAnswer: 4128*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i + 1 = -3. Let p(m) = -66*m - 27. Let o(w) = -5*w - 2. Give i*p(z) - 27*o(z).\nAnswer: 3*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -19, 1\/6, -2\/13, 235 in ascending order.\nAnswer: -19, -3, -2\/13, 1\/6, 235","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 45519679 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence eeez when four letters picked without replacement from {e: 3, z: 1, n: 1}.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3451541714 to the nearest integer?\nAnswer: 1511","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 14575?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*d + 8*d = 5*p + 5, -1 = -4*d + p. Suppose -4*m - b + 1548 = 0, -m + d*m - b = -384. What is the units digit of m?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 12, v: 3}. Give prob of picking 1 v and 2 a.\nAnswer: 198\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f - 38*s = -41*s - 13788, 0 = 3*f - 3*s - 20688. Is 92 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (1290\/(-120))\/((-1)\/40). Let p = u - 218. List the prime factors of p.\nAnswer: 2, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 29085 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: Evaluate (-112)\/(-168) + ((-14)\/(-119) - 46\/102).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 48213 - 32300. Is i composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 11 - 4. Let q = -2511 + 2522. What is the smallest common multiple of c and q?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -2 and -39.\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15*a - 15*a - 8*a**3.\nAnswer: -8*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((l**(-1\/24)*l)\/(((l\/l**11)\/l)\/l))**23)**41 assuming l is positive.\nAnswer: l**(293273\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 32, -3, 2, 0.1, 5, 2444, -13.\nAnswer: -13, -3, 0.1, 2, 5, 32, 2444","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.3, -1502, 1 in ascending order.\nAnswer: -1502, 0.3, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1778, 2970, 7720, 12472, 17226, 21982, 26740?\nAnswer: 31500","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 206974884 a multiple of 588?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j = 27 - 49. Suppose 70 = -j*t + 202. Solve x = 4*c + t, 4*x - 4*c + c = 9 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = 3*g**2 - 24*g - 4. Let v(q) = 469*q**2 - 231*q**2 - 13*q - 234*q**2 - 5 - 11*q. Calculate 5*h(z) - 4*v(z).\nAnswer: -z**2 - 24*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1268 and 0.3.\nAnswer: 380.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -225, -221, -217, -213?\n\"Answer: 4*t - 229","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 52969794?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 19, -5272, 36, 3 in ascending order.\nAnswer: -5272, 3, 5, 19, 36","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 173050 and 18.\nAnswer: 1557450","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (78\/(-60) - 5)*14*1. Let h = -88 - b. What is the nearest to 0.1 in 4\/5, h, -0.5?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(297)\/sqrt(81) + sqrt(33))\/(sqrt(132)\/sqrt(3)))**2 + 1 + 2 + 4 + 5.\nAnswer: 40\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v and 2 o when three letters picked without replacement from vpopgovovopvopp.\nAnswer: 8\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = 38*o**2. Let h(s) = 874*s**2. Calculate -5*h(k) + 114*u(k).\nAnswer: -38*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 695, 2231, 4789, 8369, 12971?\n\"Answer: 511*n**2 + 3*n + 181","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -8933, -8935, -8937?\n\"Answer: -2*k - 8931","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (12\/(-12))\/(1\/(-6)). Suppose 0 = -4*u + 2*v + 14, -2*u + 3*v + 2*v - 5 = 0. Which is bigger: u or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k**2 - 1384*k - 119716 = 0. What is k?\nAnswer: -173","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 94, 87, 80?\n\"Answer: -7*c + 101","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.2 (b) -1\/579 (c) -9314 (d) 0.4 (e) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 10100101101010 (base 2) in base 13?\nAnswer: 4a97","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -2*l - 10. Let n be f(-8). Let a = n - -10. Suppose -369 = -4*o - 49. Calculate the highest common factor of o and a.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = 6*q**2 - 121*q - 101. Let f be v(21). Let h(n) be the second derivative of 0 + 1\/18*n**f + 2\/9*n**3 - 8\/3*n**2 + 7*n. Let h(a) = 0. Calculate a.\nAnswer: -4, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*j**2\/3 + 4418794*j\/3 + 8837596\/3 = 0.\nAnswer: -2, 2209399","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -102.82 in 3, 2, -1\/2, 6, -0.4?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 0*(9\/(-6))\/(-3). Suppose n = 2*u + 2 + 4. Let c be 6\/9 - 1\/u. Is c greater than or equal to 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = 4*i - 2. Let u(j) be the second derivative of j**6\/360 - 3*j**3 - 35*j. Let b(p) be the second derivative of u(p). What is b(r(h))?\nAnswer: 16*h**2 - 16*h + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 25835607583 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 53 = 5*s + 2*d + d, 52 = 5*s + 2*d. Let y(k) = -k + 17. What is the lowest common multiple of s and y(7)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3 (base 7) to base 9.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(5) - (sqrt(5) + (sqrt(100)\/sqrt(5))**2)) + 5.\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (8598 - 8608) + 20 + -1 + 1 + 1.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = 4*o**3 + o. Let r be j(1). Suppose -2*u - 12 = u - 3*f, r*u - 4 = -f. What is the remainder when 26 is divided by 14\/(1 + 1 + u)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 e when four letters picked without replacement from {m: 3, e: 1, w: 5}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -323 (base 5) to base 6\nAnswer: -224","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) be the first derivative of -l**3\/3 - 9. Let q = 117 - 105. Let u(i) = -q*i**2 + 8*i**2 + 16*i**2. Determine m(u(a)).\nAnswer: -144*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**1*s\/(s\/((s\/(s**7\/s)*s)\/s)))\/(s**(-6)\/s**(-2\/9)) assuming s is positive.\nAnswer: s**(16\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 18133 times -1.9?\nAnswer: -34452.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = 3*q**2 + 8 - 2*q**3 - 11*q**2 - 2*q + 3*q**3. Let m be k(8). Let s(b) = -6*b - 8. Let t be s(m). What is the greatest common divisor of t and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1204.\nAnswer: 2, 7, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 140 and 21?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1989460 a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 6127*h**2 + 3489*h wrt h?\nAnswer: 12254","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 348 and 494829.\nAnswer: 57400164","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p - g = 3*p + 17, -3*g - 9 = -2*p. Let s be (30\/(-8) - p) + 186\/24. Factor 1 + 17*d**4 - 4*d**3 - 1 - s*d**4 - 6*d**5.\nAnswer: -2*d**3*(d - 1)*(3*d - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 22*q - 159 - 61. Solve 0 = -5*j + q*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -4393701, -8787403, -13181105?\n\"Answer: -4393702*f + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -14983295*t**3 - 549*t**2 + 16*t + 76 wrt t?\nAnswer: -89899770","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = m**3 + 8*m**2 + 2*m + 4. Let j(z) = 184*z + 2752. Let n be j(-15). Give h(n).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23837161 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 2, 6, 10, 14?\n\"Answer: 4*h - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -4? (a) 0.3 (b) 2\/3 (c) 0.8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 6962 and 174?\nAnswer: 605694","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -33189a (base 15) to base 6\nAnswer: -124110344","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 6, i: 6, z: 3, n: 1, d: 2}. Give prob of picking 3 i and 1 d.\nAnswer: 2\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 4*v - k - 12, k = 0. Let z = v + 6. Suppose z + 0 = n. What is the units digit of n?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 26.9187 - 0.0187. Let p = -27 + i. Which is the smallest value? (a) 3 (b) p (c) -5 (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.7 less than -1052?\nAnswer: -1053.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = r**3 - 7*r**2 + 11*r + 5. What is l(5)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q + 5*q - 2*a = 16, a - 31 = -5*q. Is 9\/2 equal to q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -999 divided by -3?\nAnswer: 333","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 0 - 4)*(-7*l - l**2 - 3*l + 5*l).\nAnswer: 6*l**2 + 30*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -f**2 + 11*f + 10. Let o be v(11). Let j = o + -6. What is the smallest common multiple of 14 and j?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.1, 297, 22\/7, -451.\nAnswer: -451, 0.1, 22\/7, 297","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/(-10))\/(24\/10)*(-3044)\/761?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z**(-5)*z*z\/(z\/(z*z*z**(-2\/15)*z))*(z*z*z\/z**(6\/7)*z)\/(z*z*z**(-5))*((z*z\/((z*z\/(z**(-5)*z))\/z*z))\/(z\/(z\/(z**(-2)*z))))**(-3\/7) assuming z is positive.\nAnswer: z**(661\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 22.396326 months in centuries?\nAnswer: 0.018663605","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 4 + -8. Let h(c) = -c**2 + c + 52. Let l be h(0). Let t be 2\/l*-2*2. What is the second biggest value in -1\/2, w, t?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -r**3 - 22*r**2 - 108*r - 27. Determine s(-15).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l**(16\/9)\/(l*(l\/(((l*l**19\/l)\/l)\/l))\/l*l*l) assuming l is positive.\nAnswer: l**(142\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -148, -150, -152, -154, -156?\nAnswer: -158","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -31869, 3959, 5 in descending order.\nAnswer: 3959, 5, -31869","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.47 times -0.118?\nAnswer: -0.05546","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 128554 and 2774?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*d**2 + 2*d**2 - 4*d**2)*(0*d**2 - 2*d**2 + d**2) - 5 + 5 + 2*d**4.\nAnswer: -2*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((f**(-1\/3)*f)\/(f\/f**7))\/(f**(1\/7)\/f**(6\/11)))**(2\/19) assuming f is positive.\nAnswer: f**(3266\/4389)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*r + 38 = -4*o, 3238*r - 3243*r = -0*o - 2*o - 28 + 5 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*f**5 + 62908*f**4 + 279*f**3 + 58271277*f**2 + 1?\nAnswer: -120*f**2 + 1509792*f + 1674","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*o = o + 42. Factor -1\/2*m**o + m - 1\/2.\nAnswer: -(m - 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-47 - -35) + (0 - (1 + -7)) - -39.\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8*5\/5*765\/(-340).\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -104 - -306bc?\nAnswer: 305b8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) be the second derivative of -w**5\/4 + 35*w**4\/12 - 40*w**3\/3 + 30*w**2 + 544*w. Factor m(x).\nAnswer: -5*(x - 3)*(x - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -v. Let o be x(-3). Let k = -3 + 5. Let p = o - k. What is the units digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -2\/7, 3.7, -130, 639?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -1 + 12\/6 + -2. Which is greater: -2\/229 or g?\nAnswer: -2\/229","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 47 or -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 37 divide 1281159063?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -818\/5 - -163. Let h be ((-4)\/(-428))\/(40\/(-575)). Let r = -1\/107 - h. Which is the smallest value? (a) -0.2 (b) n (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -7 - -6. Let n be (-6 - 60) + (-1 - r\/1). Do n and -65 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 4023150 and 1950?\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 8987 to the nearest integer?\nAnswer: 95","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 100087 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide 966?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -v**2 - 9*v - 8. Let y be t(-8). Suppose s - 2*s = y. Let p(u) = u**2 + 6*u + 0*u - 7*u. Determine p(s).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from tcppppphp. Give prob of picking 1 t and 2 p.\nAnswer: 5\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 13068?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is ((240\/224)\/(-15))\/(510\/120)?\nAnswer: -2\/119","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 819, 1646, 2487, 3348, 4235, 5154, 6111?\n\"Answer: l**3 + l**2 + 817*l","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -635*y**2 + 3636*y**2 + 887*y - 2797*y wrt y?\nAnswer: 6002","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 13010130122 (base 4) to base 13\nAnswer: 4cb698","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 6066252*k**4 - 3140528*k**2 wrt k?\nAnswer: 145590048*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 39 is divided by 25.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-1)\/(-2) + -1)*-2. Let d(x) = 21*x**3 + 18*x**2 + 18. Let h = -11 + 24. Let n(i) = h*i - 9*i - i**3 - 4*i - 1 - i**2. Calculate p*d(q) + 18*n(q).\nAnswer: 3*q**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -r**3 + 5*r**2 - 5*r + 6. Let x(h) be the third derivative of h**4\/24 - 7*h**3\/6 - h**2. What is the remainder when x(12) is divided by u(4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -0.0737, 2\/23, 2\/45, -0.3 in descending order.\nAnswer: 2\/23, 2\/45, -0.0737, -0.3, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 1001111 (base 2) to base 16\nAnswer: 4f","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zazczzzzzzzzaaacazzz. Give prob of picking 1 c and 1 z.\nAnswer: 13\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/3 > -431424?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -135 + (-218 - -341) + 2 + (-2 + -65 - 2)?\nAnswer: -79","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-2)\/8 + 168226\/(-504). Let o = l - -2537\/9. Let v = o - -52. Sort v, -1\/5, -2\/7 in descending order.\nAnswer: v, -1\/5, -2\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 * 2225348\nAnswer: 6676044","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -i**2 - 2*i - 4. Let n = -5 + 2. Calculate j(n).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 328229 != -932?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 533 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 35*o**2*x**2 - o**2*x + 3*o**2 + 2*o*x**2 - 21*o*x wrt x.\nAnswer: 70*o**2 + 4*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) be the third derivative of -p**5\/15 + 177*p**2. Let h be (-2)\/(-13) - (-10)\/(-65). Let x(m) = m + h*m - 3*m. What is x(i(z))?\nAnswer: 8*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 4, v: 4, z: 8}. What is prob of picking 3 q and 1 z?\nAnswer: 8\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i and 1 c when two letters picked without replacement from yyicysyl?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put -282, -53, 1 in descending order.\nAnswer: 1, -53, -282","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: (-2310)\/(-429)*(-1398)\/1631\nAnswer: -60\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3323300212 (base 4) to base 6.\nAnswer: -34034034","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -q, -1446 = -9*c + 4*c - 4*q. Is c a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1492 is divided by 11.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 182184.29 rounded to the nearest ten thousand?\nAnswer: 180000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 3386057 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -4*s**4 + 108*s**2?\nAnswer: -96*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -21240 - -30866. What are the prime factors of c?\nAnswer: 2, 4813","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 39 = -4*x - 5*n, -23*x - 4*n - 7 = -22*x for x.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -511*b**2*f**3 - 34*b*f**3 - 3*b*f**2 + f wrt b?\nAnswer: -1022*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zaaz when four letters picked without replacement from zzaa.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 7571 and 16833723.\nAnswer: 1127859441","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**(2\/37)*w**(-12\/5) assuming w is positive.\nAnswer: w**(-434\/185)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -821*p**4 - 741*p**4 + 1283*p**2 + 1662*p**4 wrt p.\nAnswer: 2400*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -4*l. Let x(y) = -2*y + 8. Let f(u) = 1. Let v(n) = -n - 4. Let c be v(-5). Let d(s) = c*x(s) - 8*f(s). What is j(d(p))?\nAnswer: 8*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 552 at most 2763\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -t**2 + t**2 - 2*t**2. Let v(u) = -u + 8. Let q(z) = -6*z - 16. Let a(p) = q(p) + 2*v(p). Determine b(a(m)).\nAnswer: -128*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -101*x = -33*x + 861 - 45 for x.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1202, 1183, 1138, 1055, 922, 727, 458?\nAnswer: 103","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l - 6 = -2*g - 2, -3*l - 8 = -4*g. Suppose 669 = -l*s + 3*s. Suppose 3*k = 2*k + s. Is k prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8 + -13618.\nAnswer: -13610","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is k in -4*k**3 + 13704344*k**2 + 4*k - 13704344 = 0?\nAnswer: -1, 1, 3426086","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -2*x**2 + 40*x + 1698. Calculate b(-27).\nAnswer: -840","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:42 AM and 5:27 PM?\nAnswer: 705","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 e and 1 j when three letters picked without replacement from {e: 7, j: 5}?\nAnswer: 21\/44","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.9 take away -194?\nAnswer: 199.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 103164 to the power of 1\/5, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 divided by 742826.\nAnswer: 1\/742826","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*z + 15*z = 6 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0003792629 rounded to five dps?\nAnswer: 0.00038","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m and 1 c when two letters picked without replacement from {m: 4, c: 3, i: 6, g: 1}.\nAnswer: 12\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide 69 by 1217883.\nAnswer: 23\/405961","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 26963?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -z**3 - 7*z**2 - 9*z + 7. Suppose -q - 2*q - 21 = 0. Let j be o(q). Suppose -4*p + 2*p + j = 0. Is p a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -158676 - 13964 - 10816 = -3296*u - 1072*u for u.\nAnswer: 42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 2, v: 1, m: 3, j: 1}. What is prob of sequence omjo?\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -1.05 - -262.645\nAnswer: 261.595","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(1\/4))**(-4\/13)*(v\/((v*v**(-1))\/v))**(-2\/49) assuming v is positive.\nAnswer: v**(-101\/637)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 4376 and 56?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 11, 3, -1\/4, 10, -5?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-250 - 80 + 150)*(-3*r + 4*r + 0*r - 3)*(4*r + 2*r - 3*r).\nAnswer: -540*r**2 + 1620*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 3748745?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 701.42022 to the nearest 100.\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*f - 264 = 21*f. Let z = 170 + f. Let n = z + -98. What is the least common multiple of n and 27?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:02 AM and 11:57 AM?\nAnswer: 175","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = s**2 + 6*s + 8. Let p be d(-5). Suppose 3*f + j = -2*f, -23 = -p*f + 4*j. Let m be (2\/12)\/((-2)\/(-16)). Which is bigger: m or f?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -99*m - 69. Let t be c(-5). Let o = t - 423. Let r(v) = -v**2 + 5*v - 3. Let u be r(3). Solve -3*z + 4*l + 4 = -4*z, -4*z + o*l = -u for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2249 even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g + 0*q - 5*q - 4 = 0, -3*g - 3*q + 3 = 0. Suppose -5*t + 6 = -g*t. Suppose -2*r = 3*x + t*r - 221, -r + 339 = 5*x. Is x a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -2113 - -2?\nAnswer: -2111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-106)\/(-300) - 3\/9. Let v = -8\/2311 - -88018\/57775. Let h = j - v. Which is bigger: -1 or h?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = s**2 + 12*s + 3. What is y(-12)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1\/5 + 16\/20 + 1. Suppose -3*g + 8 = -y, 2*g = -0*g - q*y. What is the lowest common multiple of 2 and g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 15016988 in -0.1, 3, 0.2?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 2524218 a multiple of 163?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (319\/286)\/(-29)*4\/2.\nAnswer: -1\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -t + 52260 - 52260.\nAnswer: -t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 47 + 260?\nAnswer: 307","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -t - 9. Let c be p(-7). List the prime factors of (24\/(-3))\/c - -41.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3276035 a multiple of 963?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor -32\/11 + 14\/11*t**2 - 2\/11*t**3 + 20\/11*t.\nAnswer: -2*(t - 8)*(t - 1)*(t + 2)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -4*m**2. Let l(c) be the first derivative of 123 - 42 - 56 + c**2 - 10*c**2. Give l(b(s)).\nAnswer: 72*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 92 (base 14) to base 6.\nAnswer: 332","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 45\/2 of a litre in millilitres?\nAnswer: 22500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2 + -6. Let y(v) = v**2 - 6*v - 2. Let z be y(6). Which is the second biggest value? (a) l (b) 3\/8 (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -167238*x**4 - 922*x**2 - 85*x + 1.\nAnswer: -4013712*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = 49*c + 365. Let w be t(-7). Let s(i) = -i + 12. Let a be s(10). Suppose -2*d + 4*l = w, -4*d - 8 = -a*l + 6. Is d >= -5\/13?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 2 - 2)*(-3 + 2 - 1)*(-4 + 6 - 5)*(-3 + 2 + 2)*(2*w - 8*w - 4*w).\nAnswer: 240*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -292*v = -758 - 2454 for v.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -4*(1 - 18\/8). Let c be (7 + (-160)\/24)*(2 - 2). Factor -3\/4*b**q + c + 0*b - 5\/4*b**4 + 0*b**2 - 1\/2*b**3.\nAnswer: -b**3*(b + 1)*(3*b + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/27 of a week in seconds?\nAnswer: 22400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 11264 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000023352403 to 7 decimal places.\nAnswer: 0.0000234","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 - (-1 - (3 - (6 + 0))).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1228595 rounded to two dps?\nAnswer: -0.12","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -13 (b) 32 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-45)\/3)\/((-10 - 1) + 14). Let t = 5 + -4.94. What is the fourth smallest value in q, 0, t, -5\/3?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*m + 3*m - 4. Find the common denominator of -109\/6 and m\/(-5) - (-99)\/(-10).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -m**3 + 7*m**2 - 5*m - 3. What is z(4)?\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -13601 + 6?\nAnswer: -13584","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -3*3*(-1)\/3. Suppose f*g - 5 = 7. Suppose -299 = -g*u - 3779. What is u rounded to the nearest 100?\nAnswer: -900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -59*g + 56*g - 2*z - 5 = 0, -z - 2 = 2*g for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 62352 is divided by 854.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -235*k + 64 wrt k?\nAnswer: -235","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = 5*a**2 - 715*a + 975. Let r(w) = 4*w**2 - 721*w + 976. Let v(m) = 7*r(m) - 6*x(m). Differentiate v(f) with respect to f.\nAnswer: -4*f - 757","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -44777269 divided by -2333\nAnswer: 19193","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8 = -11*c + 69 for c.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -116*c + 1873. What is the remainder when 542 is divided by h(16)?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 5\/89 + 301\/979. Calculate the common denominator of g and -27\/4.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -489 divided by 3.\nAnswer: -163","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 389661, 779171, 1168679, 1558185, 1947689, 2337191?\n\"Answer: -v**2 + 389513*v + 149","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 95 + -64. List the prime factors of s.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 110.643362 to the nearest ten.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g = 0, 2*g = -8*j + 3*j + 10. Let k = 1 - 0.5. Let v = 5 - 9. What is the closest to j in k, -0.4, v?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 83.3491 grams in micrograms?\nAnswer: 83349100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) be the third derivative of p**5\/60 + p**4\/12 + 39*p**2. Let o(j) = j**2 + 1. Let m(r) = -h(r) + 2*o(r). What is m(4)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*g - 3*i - 7, 0 = 3*i - 0*i + 12. Sort 11, g, -3, 1 in descending order.\nAnswer: 11, 1, g, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -9*h**2 + 34*h - 100. Let z(q) = 19*q**2 - 74*q + 208. Give -13*o(p) - 6*z(p).\nAnswer: 3*p**2 + 2*p + 52","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 17*(-14)\/(-119)*2.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -376, -742, -1106, -1468, -1828?\nAnswer: -2186","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: Two letters picked without replacement from {c: 1, v: 8, q: 2, k: 9}. What is prob of picking 2 k?\nAnswer: 18\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 9 - 18 + 16*k + 21 + 21 wrt k?\nAnswer: 16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -20, -0.7, 55, -2\/7?\nAnswer: -20","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.4 + -1.6. Let w be ((-306)\/476)\/((-12)\/(-14)). What is the biggest value in t, w, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (35105\/(-1848))\/17 - -1 and -67\/3.\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 2, r: 2, i: 1, l: 1, h: 1, q: 1}. What is prob of sequence hr?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y + 14 = 39. Suppose a + 3 - y = 0. Let x(t) = 3*t + 1. Let w(v) = -6*v - 2. Let f(n) = 6*w(n) + 13*x(n). What is f(a)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 352861508.\nAnswer: 2, 139, 634643","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 577.\nAnswer: 577","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -7\/5, -102791, 1\/9, 0.15?\nAnswer: 0.15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 447 or 445?\nAnswer: 445","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 22, 417, -5, -4.\nAnswer: -5, -4, 0, 22, 417","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -v**3 - 11*v**2 - 12*v - 19. Let o be w(-8). Let x = o - -176. What is the units digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -112*o - 8 + 3 + 2 + 1.\nAnswer: -112*o - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6\/(-9) - (-4)\/6.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -1241506468, -1241506465, -1241506462, -1241506459?\n\"Answer: 3*p - 1241506471","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*i + 3*i - 2*i)*((-3*i + 2*i + 0*i)*(-5*i + 3*i + 4*i) + 3*i**2 - 2*i**2 - 3*i**2 + 0*i**2 - 2*i**2 + i**2 + 2272 - 2272 + 125*i**2).\nAnswer: 120*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 1\/(-4)*(24\/10)\/(687\/(-2290))\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = h**2 - 5*h - 7. Determine k(6).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j*j*j*j**(-6)\/j)\/j**(2\/9) assuming j is positive.\nAnswer: j**(-38\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -d**3 - 4*d**2 + 4*d - 1. Calculate w(-5).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = z**3 + 244*z**2 + 968*z + 41. Calculate o(-4).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Total of -5 and 381996.771998.\nAnswer: 381991.771998","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 383432030?\nAnswer: 2, 5, 79, 569, 853","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*j = -5*j + 3348. Let h = -39 + j. Let y = 22 - -7. Calculate the remainder when h is divided by y.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -98*v**2 - 2 + 14*v + 44*v**2 - v**3 + 54*v**2 in the form q*v**2 + i + d*v**3 + p*v and give p.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -93713\/6 - -15984. Let w = p - 364. Which is greater: 0 or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -w**2 - 6*w + 9. Let y be c(-7). Solve -14 = 3*t + y*k, 4*t = -t - 3*k - 22 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**(-3\/17))**(-6\/17))**(-18) assuming i is positive.\nAnswer: i**(-324\/289)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 bigger than 1\/4645746569?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-4)\/(-18) + (-8)\/(-18). Suppose -z + 135 + 100 = -4*j, -j - 54 = -5*z. Let i = 61 + j. Are i and p unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*y + 17000 = 79*y. Calculate the smallest common multiple of y and 140.\nAnswer: 1400","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 457372.6mg to kilograms.\nAnswer: 0.4573726","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2278 and 1474.\nAnswer: 25058","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.151 + -26073.\nAnswer: -26072.849","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x**4\/5 + 1184*x**3\/5 + 206204*x**2\/5 + 9167712*x\/5 + 119908098\/5 = 0. Calculate x.\nAnswer: -267, -29","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -6*j**2 - 33*j*o**3 - 1684*o**3 + 1 wrt j?\nAnswer: -12*j - 33*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Add -105337890646 and -2.6.\nAnswer: -105337890648.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = 2*s**2 + s - 3. Suppose 630 = -4*p + 7*p. Suppose -u - 6*u + p = 0. What is the smallest common multiple of v(-2) and u?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -675 + 18223\/27. What is the third smallest value in 2, q, -7?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 51\/80 and -101\/1559802.\nAnswer: 62392080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*a = -26*r + 29*r + 4, -5*r = 5*a for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = f**3 - 10*f**2 - 38*f - 17. Calculate r(13).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n, 1 e, and 2 h when four letters picked without replacement from {h: 1, l: 4, n: 5, e: 9, f: 1}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 80340.01 millilitres in litres?\nAnswer: 80.34001","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t + w = 121 + 78, -2*t + 79 = w. Let k be ((-2)\/(-4))\/(2\/8). Suppose -t = -k*r + 40. Calculate the remainder when r is divided by 14.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34 + 21 = -11*y. Put y, -4, -3, -12 in ascending order.\nAnswer: -12, y, -4, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 5\/3121 + -277829\/37452. Let j be (-11339)\/(-3) - (-30)\/(-45). Let d = j - 26508\/7. Find the common denominator of d and m.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = 12*c - 4. Let u be (-2)\/6*(-198)\/22. What is h(u)?\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1116\/(-14) + (-74)\/259. Is -639\/8 less than f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ppj when three letters picked without replacement from {p: 4, j: 7, z: 5}?\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 6803 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7 - (1 - (4 - 11 - -4)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 235*f**4 + 234*f**4 - 4*f**3 + f + 10 - 462*f**4 as b*f**3 + u*f + j*f**4 + w + l*f**2 and give j.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 28*t**3 + 5*t**3 + 2 - 2.\nAnswer: 33*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 414 + 120. Let h = v + 194. Is h a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 3739398*a**4*c + 818387*c wrt a?\nAnswer: 14957592*a**3*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 144, 380, 662, 984, 1340, 1724, 2130?\n\"Answer: -j**3 + 29*j**2 + 156*j - 40","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 3984402993 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1564.98 - -2209.31. What is d rounded to the nearest integer?\nAnswer: 644","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w = 4*c - 3054, c + 0*w = -3*w + 761. Is c\/6 - 2\/(-3) a multiple of 32?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 1109, 1023, 43, -1831, -4599?\n\"Answer: -447*r**2 + 1255*r + 301","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) be the third derivative of f**9\/3024 + f**8\/1344 - f**7\/504 - f**6\/144 + f**4\/3 - 24*f**2. Let g(t) be the second derivative of c(t). Factor g(y).\nAnswer: 5*y*(y - 1)*(y + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -13, -3\/5, -2\/15, 2\/7, 1\/5, 5.1?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**1\/s*s)**44*(s*s**(1\/2)\/s)\/(s\/(s*s**3)))\/(s*((((s**(-2)\/s)\/s)\/s)\/s)\/s*s**3*s*s)**41 assuming s is positive.\nAnswer: s**(177\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (1\/2)\/((-3)\/(-6)). Let u(z) be the third derivative of -z**4\/24 - z**3\/6 + 2*z**2. Let s(y) = 9*y + 12. Determine d*s(t) + 12*u(t).\nAnswer: -3*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = 7*j**2 - 57*j + 5. Let h be t(8). What is the remainder when (15 + 3)*h\/(-2) is divided by 2\/(-6) + 116\/6?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -3, 9 in increasing order.\nAnswer: -3, -2, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 w when two letters picked without replacement from {f: 7, w: 2}.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in -161, 0.004, -1\/8, 8\/3?\nAnswer: 8\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 1558663 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = 13*y**2 + 3*y + 2. Let u be w(3). Let j = -73 + u. What is the tens digit of j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 28225325553 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -a**3 - a**2 - a + 11. Let p be o(0). Let n = 13 - p. Solve 5*c = 15, -3*s + 3*c - n*c = 0 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -38*c + 517016 = -222047 + 13567. What are the prime factors of c?\nAnswer: 2, 3, 37, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 101656 + -30140. What is the units digit of o?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 g when three letters picked without replacement from {g: 3, p: 2, e: 5, z: 2}.\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 109173*t + 97550 with respect to t.\nAnswer: 109173","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m and 1 d when two letters picked without replacement from {d: 6, s: 4, m: 2}.\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -88 + 155. List the prime factors of w.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 23, 0.61932, -0.4 in descending order.\nAnswer: 23, 0.61932, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1672 and 152?\nAnswer: 1672","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -15*y - 132. Calculate the least common multiple of 45 and d(-13).\nAnswer: 315","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*((sqrt(320) + sqrt(20) + sqrt(20) + -5)**2 + -3)*3 + -4.\nAnswer: -1440*sqrt(5) + 8900","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 7.1 - 10. Let p = -7064.5 + 7064. What is the nearest to -1 in p, 1\/3, b?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5943 - 5943 + 71*c + 148*c + (-2 + 2 + c)*(3 - 1 - 1) to the form l + q*c and give q.\nAnswer: 220","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 28\/3 at least 45.5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -34*c - 206. Let d(r) = -11*r - 65. Determine 7*d(n) - 2*q(n).\nAnswer: -9*n - 43","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) 2 (b) -11 (c) 4 (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 572633 and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 198 = -s - s. Is 16\/6*s\/(-12) a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 12, s: 7}. What is prob of sequence vsv?\nAnswer: 154\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:55 AM and 3:18 PM?\nAnswer: 203","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*r - 5*r - r + 11*r + 31*r**2 - 295*r**2.\nAnswer: -264*r**2 + 2*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -45, -38, -31?\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s + 6*s - 2*h + 124 = 0, -3*s + 3*h = 96. Let i be (1 + (-72)\/40)\/(2\/s). Suppose -4*f + i = -4*q, -5*f = 6*q - 2*q - 33. Solve -q*y - 2*y = 20 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find m, given that 2*m**2\/9 - 206*m\/9 + 68\/3 = 0.\nAnswer: 1, 102","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) be the third derivative of -v**5\/15 - v**4\/8 - v**3\/2 + 30*v**2. Determine t(-2).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-4)\/(5\/(5\/(-2))). Let m be (4\/6)\/(2\/(-48)). Let z be m\/(-10) + j\/5. Put -4, z, -0.2 in increasing order.\nAnswer: -4, -0.2, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -6164 or -6162?\nAnswer: -6164","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = o**2 - 10*o - 5. Let p = 4003 - 3987. Calculate q(p).\nAnswer: 91","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*p - 16 = -5*m, -91*m + 86*m = 3*p - 34 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 10, -0.06, -1\/74, 4\/7, -3?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -1147 (base 14) to base 9\nAnswer: -4106","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2463*x = -2478*x + 133545. What is the remainder when x is divided by 159?\nAnswer: 158","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 4\/5 in 0.3, 5, -3.83, -9.2?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2 or 37032\/25915?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 62\/5 and -1\/15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -750 + 548 = -60*y + 2138. Let k = -22 + 42. Calculate the remainder when y is divided by k.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -5 + 6. Let f = 257 + -257. What is the third smallest value in d, 3\/4, 6, f?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7*l + 8*l + 7*l + 9*l)*(-1 - 4 + 4).\nAnswer: -17*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -711032 (base 8) in base 4?\nAnswer: -321020122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 5 - 1e74bb?\nAnswer: -1e74b6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t + 12 = 3*b, 5*b = 8 + 2. Let u be (t + -3 + 5)\/2. Let c(n) = -5 + 6*n - n**u + 2 + 1. Give c(4).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -697*c + 190 wrt c.\nAnswer: -697","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Product of -386 and -121.1371.\nAnswer: 46758.9206","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -178, -177, -176, -175?\n\"Answer: c - 179","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-32)\/5)\/(42*89\/18690).\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = 2*u**2 + 2*u - 3. Let j be x(2). Solve -p - j = -d, -5*d + 37 = -3*p - 0*d for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 25943158 to the power of 1\/2, to the nearest integer?\nAnswer: 5093","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3\/(-24))\/(5\/30).\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2c55 (base 14) to base 8.\nAnswer: 17353","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 divided by 55?\nAnswer: -4\/55","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -60*p**5 + 14*p**2 + 22*p + 140?\nAnswer: -1200*p**3 + 28","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*n + 917*n**3 + 12820*n**3 + 2*n + n.\nAnswer: 13737*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 33 < 29?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 - (8 - (-9 + 6 + 1))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = 3*i - 17. Let a be h(10). Let p = a + -15. What is the units digit of 1\/p + (-46)\/(-4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -76 + 121. Let m be (-168)\/(-9)*l\/12. Let r = m + -60. List the prime factors of r.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3846, 3847, 3848?\nAnswer: 3849","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) be the first derivative of 108*w**5\/5 - 1521*w**4 + 28172*w**3 + 18530*w**2 - 115600*w + 1188. Suppose p(u) = 0. Calculate u.\nAnswer: -4\/3, 1, 85\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 158274?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -10 times -726\nAnswer: 7260","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*k = -20*k - 96 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -15, -6, -579, -1, -4 in decreasing order.\nAnswer: 5, -1, -4, -6, -15, -579","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1096 is divided by 578?\nAnswer: 518","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -h = 2*h + 3*b + 3, 2 = 4*h + b for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a\/a**(-4\/7)*a**(-9)*a**(-4)*a**(6\/13)\/a assuming a is positive.\nAnswer: a**(-1089\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 1, j: 3, n: 3, d: 11, y: 1}. What is prob of sequence nn?\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) be the first derivative of -v**6\/30 + 4*v**5\/25 - v**4\/5 - 2*v**3\/15 + v**2\/2 - 2*v\/5 + 55. Suppose d(t) = 0. Calculate t.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = o**3 - 28*o**2 - 207*o + 104. Let z be u(34). Let r(q) be the third derivative of 12*q**z - 35\/24*q**4 + 5\/3*q**3 + 0 + 0*q + 5\/12*q**5. Factor r(b).\nAnswer: 5*(b - 1)*(5*b - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -2183*k - 2. Let t be z(6). Round t to the nearest one thousand.\nAnswer: -13000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 253 - 250. Let p(g) = g**3 + 1 + 3*g**2 - 2*g**2 + 2*g**v. Give p(2).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3 - -1) + -100 + 80.\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 24 a factor of 159444?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 38482 - 38482. Let s(u) = 0*u**2 - 7*u - 2*u**2 - 3*u**2 + 8 + u**3. Let j be s(6). Sort h, j, 18 in decreasing order.\nAnswer: 18, j, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = 354*f - 384. Is v(4) a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -8.4 + 8.4. Let h = -36 + 53. Are h and v nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 23510 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1651 is divided by 73.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**(-6\/13)*q)\/q*q**(5\/4))**(-12\/5) assuming q is positive.\nAnswer: q**(-123\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 0 + 7 - (1528 - -3). Let v = -776 - p. Is v a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 9 and 20.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*a**4\/3 - 14*a**3\/3 + 4*a**2\/3 + 40*a + 48 = 0.\nAnswer: -6, -2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (16\/(-4) - -4)\/2. Let z be 3\/(-2)*(-3 - 1). Suppose -p + z = -w*p. What is the units digit of p?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1035 and 115.\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -115\/5016 and 74\/165.\nAnswer: 25080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 80, 42, -12, -76, -144?\nAnswer: -210","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0 - -0.3. What is the closest to -1\/2 in 2\/9, r, 5?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -7*r + 19. Let w be o(-5). Calculate the highest common divisor of 81 and w.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -43884 by 318.\nAnswer: -138","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -18\/1007 - -965767\/3021. Let t = w - 363. Let n = t - -43. Which is the third smallest value? (a) n (b) -3 (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = 4*t + 3. Let l(z) = -11*z - 46. Let o(y) = -23*y - 105. Let d(v) = 7*l(v) - 3*o(v). Calculate 2*d(b) + 5*x(b).\nAnswer: 4*b + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 67 is divided by 26?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dld when three letters picked without replacement from {l: 9, d: 2, n: 3, k: 1, r: 3, f: 2}.\nAnswer: 1\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 18 and 17428.\nAnswer: 156852","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = 5*s**3 - 65*s**2 - 20*s + 5. Let h(f) = -3*f**3 + 68*f**2 + 16*f - 4. Let o(g) = 5*h(g) + 4*v(g). Factor o(z).\nAnswer: 5*z**2*(z + 16)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-306)\/(-27))\/17)\/((-8)\/9).\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Are -36020 and -252148\/7 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 6074903 to the power of 1\/10, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 27927 a multiple of 261?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -42 - -38. Sort o, 2, 7\/4.\nAnswer: o, 7\/4, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*z**2 - 5*z**2 - 8*z + 10*z.\nAnswer: -14*z**2 + 2*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s = -25*s - 32*s + 6726. What is the greatest common divisor of s and 2356?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2 + 7. Suppose 7*d = 2*d. Suppose j*q - 2*n = 160, -3*q = -d*q - n - 95. What is the remainder when q is divided by 16?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1, -0.7, 0.05, 0.2, 761?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 46529, 93946, 141363, 188780?\nAnswer: 236197","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 7558043 a multiple of 73?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 34405.93 centimeters?\nAnswer: 0.3440593","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 349596668 or 349596665?\nAnswer: 349596665","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d**15*(d\/d**41)\/d*d**14\/(d\/(d\/d**24)*d) assuming d is positive.\nAnswer: d**(-37)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l + 4*d - d + 9 = 0, 4*d = -12. Let n = 0 - l. Sort n, -5, -1, 2 in decreasing order.\nAnswer: 2, n, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -7659 by 3.\nAnswer: -2553","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2734852401 divided by -9.\nAnswer: -303872489","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (15\/20)\/((-1)\/((-6)\/9))\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = 3*n**2 - 11 + 16 + 12*n + n**3 - 7*n + 6*n**3. Let c(t) = t + 8. Let x be c(-3). Let v(w) = 6*w**3 + 3*w**2 + 4*w + 4. What is x*v(d) - 4*j(d)?\nAnswer: 2*d**3 + 3*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(420)\/sqrt(7))\/sqrt(12) - sqrt(245)*-4.\nAnswer: 29*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when -3*(-3)\/(7 - 25)*-398 is divided by 43?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1 + -10200032201?\nAnswer: -10200032200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) 68\/5 (b) 29 (c) -7\/3 (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13*h - 25*h**3 - 19*h**3 + 13*h - 27*h**3.\nAnswer: -71*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -43\/4, -1, -0.4, -1\/7?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31 = -10*w - 9. Let k = 6 + -5.6. Let y = 0.2 - k. Sort y, -3, w in descending order.\nAnswer: y, -3, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -432 by -36.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*r - 53 = -25*r - 3*h - 18, -19 = r + 4*h + 7 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5)\/(15\/(-438))*(-301)\/602.\nAnswer: -73","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 380216861 to the nearest integer?\nAnswer: 724","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*g = -g - 28. Suppose 80 = g*t - 28. Suppose 2 - 72 = -5*j - 2*b, 3*b = -j + t. Which is greater: j or 4?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 43 a factor of 1032?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4.8, -3, 0 in ascending order.\nAnswer: -4.8, -3, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 750 and 35.\nAnswer: 5250","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = 98*x + 156. Let v(n) = 197*n + 317. Let k(w) = -7*o(w) + 4*v(w). Is k(7) a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 65?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -22\/35 and -38\/55.\nAnswer: 385","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*f - 2*j + 21999 - 22071, -5*f + 2*j = 136 for f.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -4*d**3 + d**2 + 3. Let k be v(-3). Suppose 6*l - k = l. Suppose -r = 5*m - 38, 2*r - 5*m = -2*m + l. Is r a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -8*r - 4. Let j be f(-1). Which is the nearest to -0.2? (a) 2 (b) 1 (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (96\/30)\/8*95\/(-228)?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x - 3330006 = 3*w, 5*x - w + 1024332 = -2305666. What is x rounded to the nearest ten thousand?\nAnswer: -670000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.99 + -0.01. Let v = y - 2. Let d = -6 - -1. What is the nearest to -1\/4 in d, -0.3, v?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*((2*sqrt(72))**2 + sqrt(72)) + sqrt(72).\nAnswer: 42*sqrt(2) + 1728","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) be the second derivative of i**8\/560 - 3*i**7\/280 + i**6\/40 - i**5\/40 - 7*i**3\/3 - 18*i. Let f(t) be the second derivative of d(t). Factor f(q).\nAnswer: 3*q*(q - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = p**2 + 4*p - 5. Let a be h(-5). Let m = 6 - a. Suppose t - 6 = m*t + 4*j, -2*j = 4*t. What is the lowest common multiple of t and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*f - f = j + 91, 3*j + 45 = 3*f. Suppose -4 = 20*b - f*b. Let a(v) = v**3 + 3*v**2 - 3*v + 2. Calculate a(b).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 31624 is divided by 93.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 43, 50, 23, -44, -157, -322?\n\"Answer: -v**3 - 11*v**2 + 47*v + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*h*p**3*x**2 + 325*h*p**3 - 6*h*p**2*x**2 - 5*h*p**2 - 3*h*x**2 + 3*p**2*x**2 - p**2*x wrt p.\nAnswer: -12*h*x**2 + 1950*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-54)\/2835)\/((-2)\/(-10)).\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 17\/9896 and 149\/42.\nAnswer: 207816","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-80*g - 103*g + 24*g - 4*g + 2*g + 4*g + 2*g + 1 - 1 + (-2*g + 5 - 5)*(-4 + 4 - 2))*(-g**4 + g**4 - 3*g**4 + (0*g**3 - 11*g**3 + 3*g**3)*(g + g + g)).\nAnswer: 4077*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -41 - -46. Suppose n - 208 = -3*l - n, -z*l - 4*n = -344. Calculate the greatest common divisor of l and 24.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1637, -3256, -4825, -6320, -7717, -8992?\nAnswer: -10121","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3*-7*(-187)\/1071)\/(12\/(-72))?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c and 1 j when two letters picked without replacement from {j: 3, t: 1, m: 1, r: 1, c: 1}.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-221)\/(-34) + 5 + 6\/4. Solve x*u = u + 36 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 18*o + 264 - 336 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) be the second derivative of -2*w**3 - 8*w. Let m(v) = -v. What is d(m(c))?\nAnswer: 12*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 14\/47 and 77\/423.\nAnswer: 423","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:58 PM and 7:36 AM?\nAnswer: 578","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q*q**(-3\/4))**(-1\/19) assuming q is positive.\nAnswer: q**(-1\/76)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 28 divide 3453?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0010628 rounded to four dps?\nAnswer: 0.0011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*d - 10 = -k, 11*d = 8*d + 6 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 - 3 + 5 + 111777*w - 111780*w.\nAnswer: -3*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 98.06513 grams to micrograms.\nAnswer: 98065130","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 843786.3 millilitres to litres.\nAnswer: 843.7863","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 362, 1428, 3208, 5702, 8910, 12832, 17468?\n\"Answer: 357*c**2 - 5*c + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 1 - 3 - (-25)\/15. Let m(f) = f**3 + 2*f**2 - f + 1. Let h be m(-3). Sort h, a, 0.3 in descending order.\nAnswer: 0.3, a, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1351 - -1351.09. Let x = -4 - -9. What is the nearest to -0.1 in x, v, 1?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = 5*n + 8. Let l = -56.6729 + 58.6729. Which is the nearest to 1? (a) 0.6 (b) n (c) -3 (d) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -r**2 - 3*r + 3. Let j be x(-3). Suppose -16 = 7*w - j*w. List the prime factors of (-1 + (-6)\/w)*16.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 171.89175ns in minutes?\nAnswer: 0.0000000028648625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 9*r**2 - 6*r**4 + r**3 + r**4 + 4*r + 29*r**4 wrt r.\nAnswer: 576*r + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = j**2 - 8*j - 21. Let b be x(9). Let g = 25 + b. What is the units digit of g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -i + 2*s + 9, 2*s - 47 = -4*i - s. Suppose 3*q = 4*q - 7. Let z(y) = i - q + y + 2. What is z(-8)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9.514206 days to hours.\nAnswer: 228.340944","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = 3*o + 5. Let a be k(-1). Suppose -3*p = 3*u + 153, -204 = 6*p - a*p - u. Let y = p - -62. Is y a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.02 + 2.02. Let i = 18 - 8. Let x = 29\/3 - i. What is the third smallest value in n, x, 0.2?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nnn when three letters picked without replacement from nvj?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) be the third derivative of -g**5\/90 - g**4\/12 - 2*g**3\/9 - 13*g**2. Determine t, given that r(t) = 0.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.111296 times 0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 4911 + -1813. Let u = 21648\/7 - m. Find the common denominator of 97\/8 and u.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -g**3 + g**2 - g + 1. Let j(s) = -2*s + 2. Let u be j(1). Give x(u).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 278\/(-4) + (-2)\/4. Let g be (4\/v)\/((-3)\/(-15)). What is the smallest value in g, 0.3, -3\/2?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 97426?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-4)\/(-18) + (-50)\/(-18). Suppose -8*o - 500000 = -c*o. Round o to the nearest 100000.\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (123*y + 13*y + 91*y + 3*y + 7*y - 5*y - 3*y + 2*y + 3*y + 0 + 0 - 2*y + (-2*y + 0*y + 0*y)*(3 + 3 - 5) + y + 0*y + 0*y)*(-3*y**3 - 3*y + 3*y).\nAnswer: -693*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (13 + 2 - 10) + -9 - (-4 + 1)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -3210 + 101?\nAnswer: -3103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 d and 2 w when four letters picked without replacement from wdwwdddwwdww?\nAnswer: 14\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -2*y**2 - 168*y + 896. Let u be t(-89). Sort -3, u, 4, 5, 23 in ascending order.\nAnswer: -3, 4, 5, u, 23","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -67 + 126. Suppose -210 = -5*w + j, -3*w - 4*j + n = -67. What is the highest common divisor of w and 28?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 139, -4, -53 in increasing order.\nAnswer: -53, -4, -2, 139","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((z\/z**(2\/3))\/z**5)\/((z*z*z**(-4\/9))\/(((z*z**(4\/3)\/z)\/z)\/z*z)))\/(((z**(-2\/11)\/z)\/z)\/(z**(-1\/6)*z))**(1\/6) assuming z is positive.\nAnswer: z**(-237\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 113977 to the nearest integer?\nAnswer: 338","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y + 60 = o, -o - 60 = -4*y + 3*o. What is the least common multiple of 9 and y?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hchhchzxzihc. What is prob of sequence ihh?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 11 - 15. Let p = f + 3.97. Let n = 0.27 - p. Which is the closest to -0.1? (a) 3 (b) -2\/5 (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -3*i - 73. Calculate q(-22).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 43*j - 190 = 111 for j.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 f when two letters picked without replacement from {f: 5, x: 3, u: 9, d: 1}.\nAnswer: 10\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -56*z**2 - 28*z - 52. Let o be a(-2). Which is smaller: -210 or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -3 and 2.09571022001.\nAnswer: -0.90428977999","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -w**2 - 3*w. Let p be h(-6). Find the common denominator of 109\/18 and p\/(-16)*100\/(-30).\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) be the second derivative of 5*z**3\/6 - 9*z**2 + 11*z + 2. Let s(j) = 2*j. Determine i(s(v)).\nAnswer: 10*v - 18","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -97.837 + -0.163. Let p = t - 322. Let j = -423.74 - p. Round j to one dp.\nAnswer: -3.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 46 at most as big as 594\/13?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 728 and 224848.\nAnswer: 1573936","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o - 2948 = 3*o. Let b = -109 - -114. Suppose b*p = g - 753, 2*g - 4*p - o = -2*g. Is g composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 462827 to the nearest integer?\nAnswer: 680","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) be the second derivative of -z**3\/2 - 3*z**2\/2 - 5*z. Let u(x) = -x - 1. Suppose -7*v - 5466 = -5452. Calculate v*u(p) + q(p).\nAnswer: -p - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i = -3*a + 115, i - 4*i = -3*a + 99. Suppose 3*c + 4*s - 9 = 1, 0 = -2*c + 3*s + a. What is the units digit of 1\/(-2) + c\/4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 28696 and 194344?\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -413 = -2*j + 4*p - 429, -8 = j - 3*p for j.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -336 = -6*v - 48. Calculate the remainder when v is divided by 14.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = z - 9. Let p be v(13). What is the biggest value in p, 0.3, 1, 3\/5?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 142, 138, 134, 130?\n\"Answer: -4*p + 146","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.5 less than -1?\nAnswer: -2.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 603\/(-268)*(1 + 1)\/(-12). Let m be 3\/21 + 57\/(-7). Let j(p) = -p**2 - 10*p - 16. Let r be j(m). Is r less than or equal to x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 455*i + 7523 + 6954 - 4922 for i.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 261*w - 275*w = -56 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1278*z**5 - 1511*z - 3 wrt z.\nAnswer: -25560*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32*j + 0*j - 11796971 = -9*j. Is j composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 959 divided by -137\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -240, 510, 3122, 8478, 17460, 30950?\nAnswer: 49830","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -10*u**3 + 7*u**2 + 2*u - 7. Let z(p) = 5*p**3 - 3*p**2 - p + 3. Determine 3*d(r) + 7*z(r).\nAnswer: 5*r**3 - r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = 2*i**2 + 6*i + 5. Let k = 58 - 53. Suppose -6*d = -23 + k. Suppose -5*x + 2*x = a - 11, 0 = d*a + 4*x - 8. Calculate o(a).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 1b7239 + -1a?\nAnswer: 1b721b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -48, -116, -184?\nAnswer: -252","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 + 0 + 1)*(-6*u + u + 3*u) - 5*u + 2*u + 4*u + 3 + 17*u + 10*u - 32*u as b*u + r and give r.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 435*x = 453*x + 36 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 4 + -21131?\nAnswer: -21122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 34739 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-364)\/(-78) - 2\/(-6). Solve 3 + 2 = -y*o for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -682 or -256\/763?\nAnswer: -256\/763","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 756 and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 1\/60 and 101\/602.\nAnswer: 18060","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 432 + -185. Let x = 393 - m. Is x a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -33 - -12. Let j be ((-26)\/7)\/(3\/q). Solve 3*k + 4*n - 6*n = 17, n = 5*k - j for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2842404.\nAnswer: 2, 3, 236867","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -b - 5. Let h(i) = i. Let d(n) = 3*h(n) + p(n). Let t(z) = 3*z - 9. Calculate -7*d(y) + 4*t(y).\nAnswer: -2*y - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find f such that 2*f**5\/7 + 22444924*f**4\/7 + 83962450524242*f**3\/7 + 104696250006592449720*f**2\/7 + 209392248125923106400*f\/7 + 104696082081758736000\/7 = 0.\nAnswer: -3740820, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n = -2*x + 3*x - 1, -3*n = -5*x + 5. Let p = -80002 + 80004. Factor -3\/5*o - 1\/5*o**p + n.\nAnswer: -o*(o + 3)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -66 + 66. Which is the third smallest value? (a) u (b) 0.3 (c) 4 (d) 3\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 273\/(-6)*(-58)\/(-203).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 (base 16) in base 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out -9023400728 + 2.\nAnswer: -9023400726","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1258, 1261, 1264, 1267, 1270, 1273?\nAnswer: 1276","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1314 is divided by 20?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.1 times 148.09?\nAnswer: -310.989","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 678*p - 665*p - n - 9 = 0, 2*n = 2*p + 6 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the seventh biggest value? (a) -36 (b) -3\/13 (c) -6 (d) 0.1 (e) 0.9 (f) 1\/6 (g) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 51 a factor of 236487?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence da when two letters picked without replacement from daaaddadddd?\nAnswer: 14\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -354 - -505. Suppose -7*p = -z - 59. What is the units digit of p?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 34 - 48. Let n be (4\/o)\/((-12)\/84). Solve i + n*i = 0 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -o**3 + o**2 + o + 4. Let u(m) = m. Let x be u(0). Let z be k(x). Solve -5*b + 9 = -z*h, -4*h = h + 5 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u*u**(-5)*u*u**(-12))**(-1\/2) assuming u is positive.\nAnswer: u**(15\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:40 PM and 1:04 AM?\nAnswer: 324","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 23033372 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 n be (1\/(-3))\/(5\/105). Let g = n - -9. List the prime factors of g.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = j**2 - 4*j - 4. Let x be b(4). Let a be 2\/(7\/((-70)\/x)). Let n = 36 - 1. Solve a*p = -2*q + n, -2*p = 5*q - 7*p for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3636?\nAnswer: 2, 3, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1055.\nAnswer: 5, 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 23258, 23218, 23152, 23060, 22942, 22798?\n\"Answer: -13*m**2 - m + 23272","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n + 2 = -12. Let b = n + -7. Let g = 2 - 3. Put -2, g, b in decreasing order.\nAnswer: b, g, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 19591365 and 60?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 51489 or 51492?\nAnswer: 51489","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/25 of a litre?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*f - 4*w - 6, 6*f = f + w + 10. Suppose 2 = -f*q - 2*t, -5*t = -2*q - 0*q + 26. Solve 0 = 3*r - 3 - q for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d**2 - 4883*d + 208120 = 0. What is d?\nAnswer: 43, 4840","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 249607087 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -44*c - 2*c**2 + 44*c + 39 - 3*c**2 + 0*c**2 - c**3 to the form o + l*c + a*c**2 + j*c**3 and give j.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 2.722957 to the nearest integer.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -11 - -11.1. Let o = -26602\/19 - -1400. What is the closest to 0 in w, o, 1, -4?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1.4 in 2, 13, -0.5, -1\/6?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (5 - 2) + -3 + -1. Suppose 0 = -5*n + o - 3055, -4*o = -2*n + 7*n + 3080. Let t be (1\/(-5))\/(n\/(-120)). Which is greater: t or p?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from crcttcc. Give prob of sequence rt.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Do 4693680 and 4693681 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r - 2*a = -74, -r + 26*a = 21*a - 53. Solve 0*k + h - 1 = -2*k, -r = 4*k - 4*h for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 315 + -163. Suppose 709 - k = m. Is m a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3231 (base 5) to base 3.\nAnswer: -121100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -154326 divided by -5\nAnswer: 154326\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -27 + 28 - (-4*1)\/1. Suppose 134 = 3*q + 3*s - 7*s, s + m = 0. What is the greatest common factor of q and 19?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = 2*t**3 - 198*t**2 + 195*t + 91. Calculate g(98).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (264\/6)\/(-1)*1\/(-2)?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -89*(-35)\/(-245) + (-2)\/7\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 205839.\nAnswer: 3, 22871","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 562730000 rounded to the nearest one million?\nAnswer: 563000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s = 7*s + 4*w - 10180, -2*s = -2*w - 4072. What is the hundreds digit of s?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 32 and 7\/(-35) + 6\/((-180)\/(-5766))?\nAnswer: 192","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 352615?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 5\/(-2) - 6\/(-4). Let t be (-2 + (-2 - a))*(-16)\/3. Suppose 5*z - z = t. Solve -5*q + 2 = -4*u - 0, 2*u + z = 4*q for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = l**3 - 19*l**2 + 83*l + 18. Calculate z(7).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 697075.475 rounded to the nearest one thousand?\nAnswer: 697000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 89930788 a multiple of 98?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*b + 4*w + 68, 4*b + 3*w + 21 = 5*b. What is the remainder when (-5)\/45 + (4\/90)\/((-71)\/(-132770)) is divided by b?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (48715012\/1488)\/(-437) + (-1 - (-33)\/36)\nAnswer: -75","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = 21*y - 66. Is w(18) a multiple of 48?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28*b**2 - 4332624*b\/5 + 2971008\/5 = 0. What is b?\nAnswer: -30948, 24\/35","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (18*8\/84)\/((-24)\/(-84)).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 118\/328185 and -59\/5940?\nAnswer: 1312740","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*m + 0 + 49 - 4*m + 53 to w*m + d and give d.\nAnswer: 102","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-1089)\/12555 + (-22)\/(-341). What is the nearest to b in 1, -0.2, 0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -528 + 532 = -4*x. Let a be 1\/2 + -2 + 2. Sort -0.09, a, x in ascending order.\nAnswer: x, -0.09, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 441357917?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is (16 - 25 - -24) + 1?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -624 by -312.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 295631330?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = 45*c. Let o(w) = -1046*w**2 - 55*w - 3. Calculate n(o(z)).\nAnswer: -47070*z**2 - 2475*z - 135","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 8493, 32133, 68013, 113253, 164973, 220293, 276333?\n\"Answer: -480*w**3 + 9000*w**2 - 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 70 + -77. Let h be (y\/3 - -2)\/((-49)\/(-6)). What is the biggest value in -2\/9, 3, h, -5?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -75, -69, -59, -45, -27, -5, 21?\n\"Answer: 2*z**2 - 77","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -3*y**2 + 138*y - 419. Let n = 92 + -54. Calculate the remainder when f(42) is divided by n.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 49345 and 1390.\nAnswer: 695","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) be the third derivative of 43*d**6\/120 - d**4\/6 - d**2 - 67. Let j(m) = -86*m**3 + 7*m. Determine 4*j(f) + 7*x(f).\nAnswer: -43*f**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1434 - 1785. What is the third smallest value in r, -3, 2\/15?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = 28*f - 50. Let a be b(2). Let q be 1 - (-6*3\/a - -1). Solve 3*j + 1 = -2, 3*l = q*j - 9 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 5, e: 4, p: 2, z: 2, f: 1, d: 1}. Give prob of sequence pphh.\nAnswer: 1\/819","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2651, -5167, -7675, -10169, -12643, -15091, -17507?\nAnswer: -19885","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: Simplify f\/f**(-13)*f*f**2*f assuming f is positive.\nAnswer: f**18","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) be the first derivative of -d**7\/14 + d**6\/5 - 3*d**5\/20 + 21*d + 10. Let g(m) be the first derivative of a(m). Factor g(f).\nAnswer: -3*f**3*(f - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -y + 20. Let u be p(18). Solve 3*k - k - u = 0 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*i + 2*i + 8*i**2)*(-3*i**2 + 4 - 4 + (-4 + 4 + i**2)*(-2 - 2 + 5))*(0 + 4 - 2).\nAnswer: -32*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 176 and 47696?\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Do -291802\/13 and -22446 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 + -7 + 17 - (0 - (2 - 1))?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -u**2 - 5*u + 2. Let v be z(-6). Let i be 6\/v - 23\/(-2). What is the tens digit of 36 + -5*(-4)\/i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (7*(-8)\/(-56))\/(11\/3)\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1246 + -1146.4. Let n = d + -44.5. Let u = n - 49. What is u rounded to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s + 6 = 3*m, 4*m + 3*s + 5 = 6*m. Let t = 2 + m. Let v(h) = -6*h**3 - 6*h - 12. Let j(k) = 5*k**3 + 5*k + 11. Let q(o) = 7*j(o) + 6*v(o). Give q(t).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence srrr when four letters picked without replacement from {e: 2, r: 7, s: 1}?\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -96 divided by -6?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -1 - -165316ab?\nAnswer: 165316aa","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 9600638 from -1062.\nAnswer: -9601700","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 42 a factor of 23566?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ette when four letters picked without replacement from eeoetget.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 39 - 39 + 41*v**2 - 27*v**2.\nAnswer: 14*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1*42\/49*504\/264.\nAnswer: -18\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 127063 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:54 PM and 8:13 AM?\nAnswer: 679","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = a**2 + 3*a - 4. Give z(-9).\nAnswer: 50","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 202012 (base 3) to base 12.\nAnswer: 395","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = 2*p**3 + 2*p**2 - 16*p - 9. Let o = 56 - 49. Let f be x(o). Is f\/(-2)*-4*(-4)\/(-24) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 137*q - 1521 = 20*q for q.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*i**3 + 1 + 3*i**4 - 54*i - 6*i + 42*i to j*i**2 + b*i + x*i**3 + h + l*i**4 and give h.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -3*r**3 - 208*r**2 + 97*r - 110. Is 20 a factor of m(-70)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6 + 1 - 13855\/(-2601) - (-4)\/(-9).\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3505 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 186 divided by -18?\nAnswer: -31\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -b**4 - b**3 - b**2 + b - 1. Let k(g) = -79*g**4 + 5*g**3 + 3*g**2 + 70*g + 5. Let f(n) = 5*h(n) + k(n). What is the third derivative of f(i) wrt i?\nAnswer: -2016*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -9*l - 13. What is the units digit of t(-6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -51 - -53. Find a, given that -241*a**3 + 0*a**4 + 238*a**3 - 3*a**2 + a**5 + 2*a + 2*a**k + a**4 = 0.\nAnswer: -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 44*f - 46*f. Suppose 0 = -5*x - 7 - 3. Which is smaller: x or f?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 3676535458?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = d. Let r(b) = 1182*b + 99. Calculate r(v(n)).\nAnswer: 1182*n + 99","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 275222*i*k**2 + 142609*i*k wrt k?\nAnswer: 550444*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 198 to the power of 1\/9, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 296, -0.5, 0.2 in increasing order.\nAnswer: -0.5, 0.2, 296","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -v - 3 = 2*g, -v - 11 = -5*g - 15 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 17243 + -17274.977. Let k = g - -32. What is k rounded to two decimal places?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -26*z**3 + 33*z. Let n(j) = -39*j**3 + 49*j. Let y be (-60)\/24*(-2)\/(-1). Let v(t) = y*n(t) + 7*g(t). Find the second derivative of v(w) wrt w.\nAnswer: 78*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -4*s - 6. Let b(k) = k - 12. Let t be b(8). What are the prime factors of o(t)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w + 2 = 8. Suppose -w*a = -a - 849997. Suppose -c = -5*s - a, s + 169994 = c + c. What is s rounded to the nearest 100000?\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 47595 is divided by 140?\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -8*t - 3 - 2*t**3 - 2*t**2 + 0*t**2 + 11*t + 9*t**4 + 0*t**2 - 7*t**4 to x*t**3 + l + o*t**4 + u*t + z*t**2 and give o.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z + 15*z - 538111 = 338867. What are the prime factors of z?\nAnswer: 83, 587","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (16958\/695*27\/(-18))\/(-3*(-2)\/(-10)).\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -5*j**2 - 57*j + 91. Calculate z(-13).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 30287739 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 216098, 432256, 648456, 864698, 1080982, 1297308?\nAnswer: 1513676","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) be the first derivative of 2*t**3 + t**2\/2 - t - 1. Let l be q(-2). Let g = 3 + 102. Calculate the highest common factor of g and l.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 75923 to the power of 1\/3, to the nearest integer?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -3*c - 6. Let d(m) be the first derivative of -7*m**2\/2 - 13*m + 7. What is -4*d(s) + 9*r(s)?\nAnswer: s - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-304)\/(-10))\/(21840\/(-4375) - -5). Solve 2*z - w = -3806 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 152474879 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 0\/(5 - 4) - (-52794 + -6). Round h to the nearest 10000.\nAnswer: 50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2353 - -2407. Calculate the remainder when 375 is divided by m.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 255623436 to the nearest integer?\nAnswer: 635","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -174.35 + 227.35. Is -1\/15 < v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 p when four letters picked without replacement from jpjjjjjppjjpjj.\nAnswer: 1\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 7598561?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-7620)\/((-8)\/4) - 0. Let u = -2710 + v. Round u to the nearest 1000.\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -54638*v + 1857690. Determine m(34).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o - 3*o = -2*o. Factor 2\/11*z**4 + 4\/11*z + 0 - 6\/11*z**2 + o*z**3.\nAnswer: 2*z*(z - 1)**2*(z + 2)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -72225879 and -72225878 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 bigger than -515.3243?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*t + 3*m = 153, -5*t - 27*m + 25 = -32*m for t.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t**(-3\/4)*t**(-3\/10)*t assuming t is positive.\nAnswer: t**(-1\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0708774 to 1 decimal place.\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rrr when three letters picked without replacement from rrrrwrwr.\nAnswer: 5\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3 - 6) + -1 - -6.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.8, 13, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 330472273 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 22*a**4*m + 3*a**3*m + 5*a*m - 2*m + 1 wrt a.\nAnswer: 264*a**2*m + 18*a*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*v + 4*v + v + (0 + 0 - 6)*(-3*v + 0*v - 4*v) - 2*v + 2*v - v to x + o*v and give o.\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = h - 3. Suppose -4*r = 4*l - 20, 3*r + 2*l = 3*l + 11. Let j be z(r). Let m(u) = u**2. Calculate m(j).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 1029915.054 milliseconds?\nAnswer: 0.001702901875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -l**3 + 31*l**2 - 25*l - 73. Let w be v(30). What is the highest common divisor of 11 and w?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 22081000 to the nearest 100000.\nAnswer: 22100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -7, -4249 in increasing order.\nAnswer: -4249, -7, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is -12498 not equal to -7261?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 80031 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i\/(i\/i**(-10\/3)))**(-29)\/(i*i\/(((i*i\/(i\/(i\/(i*(i\/(i*i\/((i**8\/i)\/i)))\/i)))*i*i)\/i*i)\/i))**(-37) assuming i is positive.\nAnswer: i**(734\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -7*n + 151. Let r be t(21). Solve 12*q + r = 8*q for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 1\/2 (b) -1\/9 (c) 2\/5 (d) -2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = 604*m**2 - 5*m + 6. Is 55 a factor of c(1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 6719 + 2864. Let b = -9582.2679 + u. What is b rounded to 1 dp?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 3\/(-6)*(0 + 0). Is f smaller than -3\/22?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 30975614?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = z + 5. Let o(c) = c - 3 + 1 + 8. Let m(d) = -d**2 - 3*d - 3. Let q be m(-3). Let i be ((-5)\/q)\/((-5)\/15). Give i*f(l) + 4*o(l).\nAnswer: -l - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 4760.93666 to the nearest integer.\nAnswer: 4761","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*b + 12 + 12*b**2 - 14*b**2 - 2*b to x + t*b + i*b**2 and give i.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((o\/(o\/((o*((o*(o**(-2\/7)\/o)\/o)\/o)\/o)\/o)*o))\/((o*(o\/o**(1\/14))\/o)\/o))\/(o**3\/(o*o**(1\/2)\/o)))**(7\/9) assuming o is positive.\nAnswer: o**(-47\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express (759*t + 1636*t + 1226*t)*(6 - 4 + 0) in the form a + j*t and give a.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 244205783 a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 1793 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 135\/31 or -56\/19?\nAnswer: 135\/31","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Do -22601955 and -22601956 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 670 is divided by (651\/14)\/((-41)\/(-82)).\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1987 - 4*w**3 + 1987.\nAnswer: -4*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4978.\nAnswer: 2, 19, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 34, 234, -2, 2\/51, 2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 224 and 44.\nAnswer: 2464","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.2 - 2.2. Let r = z - 4. Let v = 6.00000006 + r. What is v rounded to 7 decimal places?\nAnswer: 0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 541975*k**2 - 755569*k wrt k.\nAnswer: 1083950","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 87191893?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 - 1 + 867*r - 870*r.\nAnswer: -3*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 9781?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -23*a**2 - 1714*a + 7096. Calculate n(4).\nAnswer: -128","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = 2*c - 1. Give n(3).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -135 + 14053624?\nAnswer: 14053489","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 237 = -30*d - 41*d + 805 for d.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k - 30 = -2*x, 5*k - 3*x - 25 = -4*x. What is the remainder when 25 is divided by k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -24 + -4. Let r = 329 - 363. Let q = f - r. Solve -3*w + q = -w for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 262\/36 + (10152\/141 - 79)\nAnswer: 5\/18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 134241 and 609?\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is -148547 smaller than -742741\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -256136, -256120, -256080, -256004, -255880?\nAnswer: -255696","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r - 2*m = -0*m + 11177, 2*m - 8 = 0. Is r prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = 4*w + 5. Let n(y) = y + 1. Suppose -2*l - 15 = 3*l. What is l*n(h) + f(h)?\nAnswer: h + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3388*f**2 - 67*f + 57 wrt f.\nAnswer: 6776","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -13 - -13. Suppose 3*k + 5*m + 13 = l, -5*k + 2*m - 3*m = -15. Solve -p - 6 = -3*p + k*b, -3*p + 4*b + 9 = 0 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1038*o - 1037*o - 332425 = -4*v, -2*o + 664794 = v. Is o composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine q, given that -5*q**4 + 5*q**3 + 35*q**2 - 5*q - 30 = 0.\nAnswer: -2, -1, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + 0 + sqrt(245))**2 - (sqrt(245) + -1)*1 - ((sqrt(245) + 0 + sqrt(245))**2 + 5 + 1).\nAnswer: -715 - 77*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let -2757*c**2\/7 + 4361583*c\/7 - 2034 = 0. Calculate c.\nAnswer: 3\/919, 1582","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 110 a factor of 241740950?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 9? (a) 2\/7 (b) 22 (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 7798177 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mmwwwwmmmm. Give prob of picking 1 m and 3 w.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 11\/110050 or -1?\nAnswer: 11\/110050","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1049 + 1049 - 47*b)*(-15*b + 20*b - 12*b + (0*b + b + 0*b)*(3 - 2 + 1)).\nAnswer: 235*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1 + -2. Let w(k) = -k - 75. Let r(f) = 21*f + 972. Let i(j) = -r(j) - 13*w(j). Let u(p) = p + 1. What is v*i(c) + 3*u(c)?\nAnswer: 11*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -w**2 - 49*w - 72. What is the least common multiple of f(-46) and 312?\nAnswer: 3432","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = 358*z - 18625. Determine b(52).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) be the first derivative of -3*y**2 - 27*y + 24. Let f be n(-10). Suppose -f - 111 = -4*x. Is x a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -131, -124, -105, -68, -7, 84, 211?\nAnswer: 380","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from cxxxkkxzdzkccc. Give prob of sequence ckx.\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 7214 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8366.\nAnswer: 2, 47, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*j**2\/4 - 2655*j\/4 + 7911\/2.\nAnswer: 3*(j - 879)*(j - 6)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -12451.5363787 - 0.0936213. Let c = z - -12451.9699852. Let y = c + -0.34. What is y rounded to 6 dps?\nAnswer: -0.000015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 38 + -27. Suppose -t = 4*v + 26 - 41, 5*v + 4*t - 16 = 0. Calculate the remainder when z is divided by v.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) be the second derivative of 2*z**3\/3 + 3*z**2\/2 - 3*z. Is h(8) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -711040390 by -142208078.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = t**2 + 12*t + 31. Let x(m) = -m**3 - 4*m**2 - m - 3. Let w be x(-3). Let q be u(w). Which is the second smallest value? (a) 0 (b) 0.5 (c) q (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 373833803 and 179?\nAnswer: 179","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(2\/15)*b\/b**5*b)\/(b*b**4*b\/(b*b*b\/(b**(2\/9)\/b)*b*b))*((b*b*b\/(b*b\/b**(2\/5)))\/b)**(-33)\/(b**(1\/2))**(3\/10) assuming b is positive.\nAnswer: b**(-2959\/180)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = 2*p - 4. Let j be k(9). Calculate the highest common divisor of j and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 31094?\nAnswer: 2, 7, 2221","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 0.02*0.0288\nAnswer: 0.000576","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5)\/15*7\/21 - 0.\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 2817385?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 82 = 5*i + 27. Let k = -6 + i. Suppose -18 = -3*x - 4*s, 0*x + 5*x - 3*s - 59 = 0. Solve 5*b + k + x = 0 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 26175 and 225.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*y - c + 101, y + 4*c - 4 = 1. What is the second derivative of -y*p**5 + 44*p**5 + 6*p - 9*p**5 + 55*p**5 + 15*p**5 wrt p?\nAnswer: 1680*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = 12*n + 4 - 15*n + 3*n**2 - 26*n**3 + 25*n**3. Determine p(3).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*w**5 + w**5 + 2*w**5 + (4 - 2*w**3 - 4)*(-w**2 + 3*w - 3*w) - 19*w**5 + 4*w**5 + 100*w**5.\nAnswer: 90*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -931*b + 908*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*o**2 + 5*o**2 + 8*o**2 - 3*o**2.\nAnswer: 14*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -10 + 9 - (-68)\/42. Let n = 404\/7 + -58. Let c = g + n. Is 0 >= c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*z = -98347 + 270180. What is the highest common factor of z and 124?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -13*u**2 - 4. Let k(s) = 20*s**2 + 6. Calculate -8*g(f) - 5*k(f).\nAnswer: 4*f**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 56 - 47. Suppose -5*v = -3*a - 9 - 4, 0 = 4*v - 3*a - 11. What is the lowest common multiple of v and o?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*l**3 - 4*l**3 - 5*l**3)*(2*l - 2*l - 2*l**2).\nAnswer: 14*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*d + 5*d - 8*d + 19 + 11.\nAnswer: 3*d + 30","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.17949 rounded to two decimal places?\nAnswer: -0.18","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 13654699?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 677 or 29144\/43?\nAnswer: 29144\/43","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = z**3 - 10*z**2 + 10*z - 6. Let n be o(9). Let a(d) = 2*d - n*d - d**2 - d**2 + 2 - 1. Suppose -5*y = -3*y - 2. Give a(y).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 6389523*l**5 + 6194744*l**2?\nAnswer: 383371380*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4\/7*s**2 + 76\/7*s**3 + 0 + 0*s - 164\/7*s**4 + 12*s**5.\nAnswer: 4*s**2*(s - 1)**2*(21*s + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 19, 74, 215, 484, 923, 1574?\n\"Answer: 7*z**3 + z**2 + 3*z + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-424593)\/(-65322)*10\/572*24?\nAnswer: 30\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 125\/46464 and -59\/176?\nAnswer: 46464","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = 4*k, -2*p - 5*k = -2 - 1. Let l(c) = -35*c + 13. Is l(p) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1.2365 - 1.3365. Which is bigger: a or 1629.8?\nAnswer: 1629.8","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = 6*m + 25. Let q(z) = -78*z - 324. Let o(i) = -27*a(i) - 2*q(i). Let c be o(-7). Let k = c + -13. Solve 0*h = k*h - 8 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 127\/26580 and 33\/301240.\nAnswer: 903720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 34\/153 + 1660\/(-18). Let g be 112\/(-12)*(-4 + q\/(-8)). Is -69 less than g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-819)\/11700*70\/(-49)?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2384 by -1.\nAnswer: -2384","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 9.184 and -0.4.\nAnswer: -3.6736","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:06 PM and 3:06 AM?\nAnswer: 480","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 3\/6*-2 - -3. Let w be (-2)\/(-13) + (-336)\/(-182). Find the third derivative of 5*v**6 - 2*v**6 + w*v**6 - v**a wrt v.\nAnswer: 600*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((2\/(-7))\/1)\/(((-1560)\/(-105))\/26)?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -8, 0.1, 2, 4\/17, -1\/32, -4?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*g - 12 = -7*g for g.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y + 3 - 7 = 0. Suppose -3*b + 3*p = -68 - 7, y*b = p + 106. What is the greatest common divisor of 9 and b?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -215.612 + 262.03. Let v = -45.9 + m. Round v to two dps.\nAnswer: 0.52","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ii when two letters picked without replacement from {s: 1, i: 11}.\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12 = -2*h - 2289*s + 2287*s, -s + 11 = 0 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 25340051 + -46?\nAnswer: 25340002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1649 - -1128. Let h = t + 535. Solve 4 = z + 3*i, 0*i - 3*i = -4*z - h for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-3 - (1 - 4)) + (-3 - 1)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2 = -93*q + 94*q for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 351 a factor of 1295541?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2235 = 2*i + p - 349, 3*p = i - 1278. Is i a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = 2*h + 3. Let g(s) = 2 - 863*s + 862*s - 3. Suppose 4*p - p - 3 = 0. Give p*x(v) + 5*g(v).\nAnswer: -3*v - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2330.6 - -2331. Put h, 1, 3\/7, -1.13 in descending order.\nAnswer: 1, 3\/7, h, -1.13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*l, -3*n + 5*l - 2 = -17. Let a(y) be the second derivative of y**3\/6 - 3*y**2 + 2*y. Give a(n).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1462*a - 4187*a - 877*a - 1084*a.\nAnswer: -7610*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.5 and 42605193?\nAnswer: -21302596.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 6858.276 + -6879. What is k rounded to zero decimal places?\nAnswer: -21","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -7 + 11. Let v = n - 5. Is 7*(-3 - v - -6) a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 2\/7, 18, 1, 0.3?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 171\/2 + -337\/4. Factor i*q**2 + 5\/2 + 15\/4*q.\nAnswer: 5*(q + 1)*(q + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:07 PM and 8:06 PM?\nAnswer: 59","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fffj when four letters picked without replacement from {f: 5, j: 11}?\nAnswer: 11\/728","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 19572 to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 31 and 111076782?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3299593 is divided by 55?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -x**3 - 2*x**2 - 3*x. Let g be h(-2). Suppose -3*a + 249 = 3*j, g*j - 385 = j + a. What is the remainder when j is divided by 20?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 1749, 3904, 6045, 8166, 10261?\n\"Answer: -q**3 - q**2 + 2165*q - 414","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u + 49*r = 54*r - 40, 3*r + 3 = 3*u. Sort u, -11, -5, 2.\nAnswer: -11, -5, 2, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-22)\/(-8) + (-11)\/(-44). Suppose 0*n = -v*n + 3*t, 3 = -n + 2*t. Suppose n*u - 51 = 84. Calculate the lowest common multiple of u and 12.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 21456?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1608)\/(-603)*(-3)\/(-24)?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*p + 5*p + 25 = 0. Let f = -2.95 - -0.95. Let c = 5.01 - 5. What is the nearest to -1\/2 in c, p, f?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-340)\/8)\/(3\/2). Let z = -28 - p. Which is greater: -5 or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 688 minutes after 6:26 AM?\nAnswer: 5:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = 8*r**2 + 2*r + 7. Let s(q) = q - 2. Determine 4*s(b) + x(b).\nAnswer: 8*b**2 + 6*b - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -224.9853 - 0.0147. Let q = -224.999907 - x. What is q rounded to 5 dps?\nAnswer: 0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2313 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 212*y - 800 = 210*y. Does 13 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3876*m = 3865*m - 44 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 2841 to the power of 1\/4, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = i**3 - 13*i**2 + 7*i. Let q be g(0). Put 3, -1, 1, q, 2 in decreasing order.\nAnswer: 3, 2, 1, q, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 3, n: 1, v: 8, p: 6}. What is prob of sequence cvpn?\nAnswer: 1\/510","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 25 - 25.000135. What is k rounded to five dps?\nAnswer: -0.00014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/(-10)*((-130)\/15)\/(6492\/(-2705))?\nAnswer: -13\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*q**4 - 101*q**3 + 10*q**2 - 2582*q?\nAnswer: 24*q**2 - 606*q + 20","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 61 + -53. Let f = 116.3 + -17.3. Let u = -99.2 + f. What is the second biggest value in 2, u, q?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) be the third derivative of a**4\/24 - 2*a**2. Let k be z(2). Let p(r) = -3*r + 3 + 6*r + k. Let f(m) = -2*m - 4. What is -5*f(s) - 4*p(s)?\nAnswer: -2*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 3652877 a multiple of 391?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 67707 - 4*w**3 - 67707.\nAnswer: -4*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 100 and 27100?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*v - m - 8 = 0, 3*m + 6*m + 80 = 4*m for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -5*v**2 + 860*v + 4*v**2 - 854*v + 1. Determine j(5).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 879.9075 litres in millilitres?\nAnswer: 879907.5","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -3376*j + 675032. Determine n(200).\nAnswer: -168","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 6845507 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -4*w + 91. Let i be p(21). Suppose 0 = i*a - 220 - 655. Is a a multiple of 56?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -11.92053 to 2 dps.\nAnswer: -11.92","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1 * -18557.\nAnswer: 18557","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/9 in -3, 4, -7, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -r**2 - 9*r - 14. Let k be c(-6). Suppose k*h = 296 + 228. Is h prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2 + -2. Let r(f) = -7*f**2 + n*f**3 - 23 + 2*f - f**3 + 9 + 4*f. Let a be r(-8). What is the highest common factor of 22 and a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) be the second derivative of m**4\/4 + m**3\/6 + 3*m**2\/2 - 82*m. List the prime factors of q(7).\nAnswer: 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 337140*m**4 - m**3 + 288250*m wrt m?\nAnswer: 4045680*m**2 - 6*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -30953, -30949, -30941, -30929, -30913, -30893?\nAnswer: -30869","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -6786*a + 3257276. Calculate n(480).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 39 + -194\/5. Let h = 2.4294 - -0.0406. Let c = -0.47 + h. Sort c, -1\/9, g, 1 in decreasing order.\nAnswer: c, 1, g, -1\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is (10 - 288\/24)*(-2)\/(-60)?\nAnswer: -1\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 20 - (66 - (118 - 70)). Factor -15*k**t + 12\/5*k + 18\/5*k**3 + 0.\nAnswer: 3*k*(k - 4)*(6*k - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = i**3 - 6*i**2 - 4. Let y be g(6). Let h be 5\/((y - (-15)\/6) + 4). Solve 5*v - 3 = 2*z + 4, -2*v = h*z for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Is 2641 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 12*w**3 - w**2 + 7*w - 23165 wrt w?\nAnswer: 36*w**2 - 2*w + 7","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3689 - 3680. Suppose -4170 = 2*d - 12*d. Calculate the smallest common multiple of d and s.\nAnswer: 1251","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n = -3*v + 2*n - 2, 4*v + 12 = 2*n. Calculate the remainder when 112 is divided by (14 - v)*1 - (-2 + -1).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 3865, 15418, 34659, 61588, 96205, 138510, 188503?\n\"Answer: 3844*s**2 + 21*s","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 51417.95 centuries to months.\nAnswer: 61701540","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) be the third derivative of -k**5\/60 + 9*k**3\/2 + 19*k**2. Differentiate x(j) with respect to j.\nAnswer: -2*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1403?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -3*w**2 + w + 2. Let b(g) = 29*g**2 - 23*g - 6. Let d(v) = -5*v**2 + 4*v + 1. Let c(r) = -6*b(r) - 34*d(r). Determine 2*c(f) - 3*q(f).\nAnswer: f**2 + f - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 2, p: 2, n: 2, x: 2, h: 3, f: 5}. Give prob of picking 1 x, 1 f, and 1 e.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -85120.1 to the nearest one hundred.\nAnswer: -85100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i + 2 + 14 = 0. Let d(h) = h**3 + 4*h**2 - 2. Let c be d(i). Sort 7, 5, c in descending order.\nAnswer: 7, 5, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 7763.04999 - 7763. Let s = -0.05 + o. Round s to 6 decimal places.\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d - 2*d + 4*k = 40631, 4*d - 3*k = 54108. What is the ten thousands digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 224 and 48?\nAnswer: 672","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.3 - -0.2. Let t = -1.7 + 0.7. What is the closest to 4 in 0.2, w, t?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 447?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 110 in -1, -2, -25?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*k - 11*k - 50 = 0. Let n = k + -45. Calculate the remainder when (28\/n - -1)*-120 is divided by 7.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 50291676?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.02938*4.\nAnswer: -0.11752","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k = -0*k - 16. Suppose 4*p = 4*z + 12, p + k*p + 5*z = 25. Suppose 4*x - p*v = 132, -2*x - 2*v + 27 = -47. Is x a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 20144455.\nAnswer: 5, 4028891","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = 3*s + 2. Suppose -9 + 38 = 4*y - 3*d, 5*d = -3*y. Suppose 2*j + 8 = v, 2*j + 5*v + y = -3. Give f(j).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30*z + 32*z = 90. Calculate the highest common divisor of z and 30.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -23199, -46399, -69601, -92805, -116011, -139219?\nAnswer: -162429","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*x + 2*x**3 - 8*x**2 - 2*x + 6*x**2 as z + b*x + l*x**3 + n*x**2 and give l.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 0 + 3\/(-3)*-24?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 327282, 654630, 981978, 1309326, 1636674?\n\"Answer: 327348*s - 66","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00001664 rounded to 5 decimal places?\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 11847 and 79035.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 612 minutes before 5:33 PM?\nAnswer: 7:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 485 minutes before 11:20 AM?\nAnswer: 3:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 - (9 + -17) - (85 - ((-6 - -10) + -3)).\nAnswer: -73","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7687 divided by -2.\nAnswer: -7687\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) be the second derivative of -v**6\/720 + v**5\/15 + v**4\/6 - 31*v**2 - 102*v + 2. Let y(g) be the third derivative of r(g). Calculate y(10).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 291 (base 10) in base 8?\nAnswer: 443","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = 6*q**3 + q**2 - 6*q + 5. Let b be m(4). Let i = b + -67. Is i a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 395 divided by 79.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/13, -1\/4, -145 in descending order.\nAnswer: 2\/13, -1\/4, -145","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 - 2*m**2 + 2 + 127*m - 2.\nAnswer: -2*m**2 + 127*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 989?\nAnswer: 23, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -1249612 divided by -5?\nAnswer: 1249612\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -804, -2969, -6576, -11625, -18116, -26049?\n\"Answer: -721*d**2 - 2*d - 81","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*j**4 + 2 + 0*j**4 + 6*j**2 - 5*j**2 - j**4 to q*j**4 + y + k*j**3 + t*j + s*j**2 and give s.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -41*s**2 - 54*s + 32. Let k(p) = p**2 - p - 2. Let t(j) = -6*k(j) - q(j). Factor t(c).\nAnswer: 5*(c + 2)*(7*c - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (10*q + 1 + 0 - 8*q)*(3 + 3 - 4) to the form j*q + l and give j.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let -12*i**4 + 764*i**3\/3 - 728*i**2 - 22016*i\/3 + 1664 = 0. What is i?\nAnswer: -4, 2\/9, 12, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 d and 2 r when four letters picked without replacement from {d: 5, r: 15}.\nAnswer: 70\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -3*f**2 - 38*f + 181. Calculate g(-31).\nAnswer: -1524","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) be the first derivative of n**6\/600 + n**5\/200 + n**3\/3 + 1. Let r(i) be the third derivative of p(i). Find u, given that r(u) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -7*y**2 + 3 - 1 + 3 - 1 + 4*y. Let v(q) = -q**2. Let f(k) = -14*k**2 + 9*k + 9. Let r(p) = f(p) + v(p). What is 13*h(m) - 6*r(m)?\nAnswer: -m**2 - 2*m - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -5.071 + 0.071. Which is the third smallest value? (a) p (b) 2\/13 (c) -3 (d) -3\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -77870, -312003, -702224, -1248533, -1950930, -2809415, -3823988?\n\"Answer: -78044*u**2 - u + 175","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2608.9694 - 1.7694. Let v = -2348 + r. What is v rounded to the nearest ten?\nAnswer: 260","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 88*a - 86*a - 19954. Is a composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -12453350 (base 9) to base 10.\nAnswer: -6117327","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + 0 + 8 + 0 + -31 - (-115 - -114).\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3199 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = 5292*c**2 - 984310*c - 361. Calculate x(186).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 398 - 397. Let m be 6*-4*4\/(-848). Which is smaller: m or x?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 91284?\nAnswer: 2, 3, 7607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) be the second derivative of -o**5\/20 - o**4\/3 + 3*o**3\/2 + 3*o**2\/2 - 3*o. What is h(-6)?\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = a**3 + 16*a**2 - 2*a - 30. Let p be d(-16). Suppose 3*i + 28 = 22. Let o(q) = q**3 + q**2. Let u be o(i). Put p, u, -3 in decreasing order.\nAnswer: p, -3, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 788330628 to the power of 1\/5, to the nearest integer?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = 26*k**4 + 111*k**3 + 29*k**2 - 244*k + 57. Let r(p) = 14*p**4 + 56*p**3 + 14*p**2 - 124*p + 28. Let t(x) = 4*a(x) - 7*r(x). Let t(c) = 0. What is c?\nAnswer: -8, -2, 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 i when two letters picked without replacement from {i: 2, b: 1}.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 25\/(-15)*(-1 + -2 + -195). Suppose 4*z = -7*z + j. Does 3 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -11 by -10.\nAnswer: 11\/10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -2.008 and 0.01.\nAnswer: -0.02008","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 6 + 24 + -21 + (11 - -2)\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 183, 362, 539, 714, 887?\n\"Answer: -d**2 + 182*d + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 898327938 to the power of 1\/2, to the nearest integer?\nAnswer: 29972","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 6035687 plus -3223?\nAnswer: 6032464","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30*r + 16*r - 138 = 0. Solve 0*g + 16 = r*f - 5*g, 12 = f - 5*g for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 429157385?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = 11405 + 11410 - 2202*v**2 + 198*v**2 - 22815. Let c(k) = -7*k. Determine c(u(o)).\nAnswer: 14028*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -623*z**2. Let g(c) = -11*c**2. Determine g(a(m)).\nAnswer: -4269419*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 34ab34 (base 13) in base 5?\nAnswer: 310030440","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -45.23 - -45. Let n = d + 0.194. Let x = 0.364 - n. Sort x, -0.1, -4 in decreasing order.\nAnswer: x, -0.1, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 770039 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 52092 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 22313\/13 - 1720. What is the common denominator of r and 61\/39?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = 9*a + a + a. Let c(n) = 27 - 7 + 12 - 209*n**2 + 229*n**2. Let b(w) = -3*w**2 - 5. Let t(f) = -32*b(f) - 5*c(f). Calculate t(r(i)).\nAnswer: -484*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) be the first derivative of -c**5\/5 - 9*c**4\/8 - 5*c**3\/3 - 3*c**2\/4 - 95. Factor h(o).\nAnswer: -o*(o + 1)*(o + 3)*(2*o + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -c**2 + 19*c - 21. Let x = 4563 - 4545. Give w(x).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zzddzzzzzzzzwdzz. Give prob of sequence zd.\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -2*h - 5. Let k be x(-5). Differentiate 4 - 3 - i**2 + k - 3 wrt i.\nAnswer: -2*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 * 263\nAnswer: -263","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1202*y - 26440 = -1078*y + 17*y + 100288 for y.\nAnswer: 56","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = -3*v - 9. Let h be ((-190)\/v)\/((-2)\/(-24000)). Suppose -s + 3*s + h = 0. What is s rounded to the nearest one hundred thousand?\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2844054 is divided by 158002.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*b = 0, -2*r + 3*r - 183*b = -0*r - 179*b + 2 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p, 1 q, and 1 s when three letters picked without replacement from {c: 4, w: 5, s: 2, q: 1, v: 1, p: 2}?\nAnswer: 4\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -2 - -40811?\nAnswer: 40809","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) be the first derivative of 121*f**2 + 4518. Let d(n) = 5*n**2. Calculate d(j(c)).\nAnswer: 292820*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -6\/65 - -5029\/260. Find the common denominator of v and 22\/5.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) be the first derivative of 1\/12*i**6 - 5 - 1\/3*i**3 + 1\/4*i**2 - 1\/4*i**4 + 1\/10*i**5 + 1\/2*i. Let t(m) = 0. What is m?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 1283, 1328, 1383, 1448, 1523, 1608, 1703?\n\"Answer: 5*d**2 + 30*d + 1248","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -3 (b) -1\/8 (c) 14 (d) 1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -m**2 - 5*m. Let p be n(-5). Suppose 5*o = -p*o + 15. Let z(y) = 5*y. Let q be z(o). Calculate the highest common factor of 105 and q.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 22 in -2\/15, 3, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -e (base 16) to base 5.\nAnswer: -24","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4158867?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-2)\/(-5) + (-396)\/(-10). Suppose 4*a + 5*l = p, 0*a - a = 3*l - 10. List the prime factors of a.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 11, 3, -63, -4, 5, 2 in ascending order.\nAnswer: -63, -4, 2, 3, 5, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = 10*r**3 + 0 + 12*r**3 - 2 - 26*r**3 - 6*r**2 - 5*r. Is y(-5) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 937741 is divided by 387?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 5 - 1. Suppose 0 = 4*b - 12, -m - m - v*b = -20. Find the third derivative of -c**2 - 4*c**2 - 2*c**m + 3*c**2 wrt c.\nAnswer: -48*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4\/(-26) - (-145)\/(-1508).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2097, 2106, 2121, 2142, 2169, 2202?\nAnswer: 2241","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s = -5*n + s - 21, -4*s = -5*n + 11. Is n\/(-4) + 5049\/44 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + 96 = -28. Let z be (1 - 1)\/(-1) + -52. Let q = t + z. Solve q + 5 = 3*w for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1488 + -1463. Calculate the remainder when 204 is divided by j.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t + 11*p - 8*p - 7 = 0, -4*p = 4*t - 4. Which is the smallest value? (a) t (b) -2\/23 (c) -1.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nwnnwnwwwnww. Give prob of picking 1 w and 2 n.\nAnswer: 7\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 168751?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 37 + -35. Suppose 0 = q*g - g - 635. Is g a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) be the third derivative of 0*m + 0 - 2*m**2 - 2\/3*m**3 + 1\/6*m**4. What is the first derivative of h(f) wrt f?\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 10\/(390\/(-169)) - (-2)\/6. Is (-46992)\/(-192) + 3\/i a multiple of 45?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 y when two letters picked without replacement from yysssy.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = 124*k**2 + 3*k - 4. Suppose 12*z = 8*z + 12. Is r(z) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 269 a factor of 22058?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 10 + -3. Let g(x) = x**2 + 5 + 7*x + 15*x + 4 - 24*x. What is the tens digit of g(y)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-6 - g + 1 + 4)*(-2*g + 2*g + 2*g + (1 + 2*g - 1)*(-6 - 5 + 8)) to the form q*g + s*g**2 + x and give s.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -4 * -2.1\nAnswer: 8.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 173*i - 2053 = -1707 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(22)\/((sqrt(10) - sqrt(20)\/sqrt(2))\/sqrt(5) - sqrt(2)).\nAnswer: -sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1443\/(-39) - -131)*(-1 + 2)?\nAnswer: 94","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert a (base 13) to base 8.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 23\/2294 and -46\/1457?\nAnswer: 107818","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -b**3 + 35*b**2 - 55*b - 50. What are the prime factors of c(13)?\nAnswer: 2953","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -i + 2938 - 2938.\nAnswer: -i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.04935 take away 1591.18?\nAnswer: -1591.13065","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide 36790 by -36790.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p = 0, -5*p = -4*a + 134 + 418. Let l be a\/8*80\/15. Suppose 0*t = -2*t + l. Is 25 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.41, -17, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = 25*c - 10. Let h(p) = -14771*p. What is h(q(b))?\nAnswer: -369275*b + 147710","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(sqrt(13) + sqrt(637)*-2 + 0)*-6 + (1*(1 + sqrt(325)) - 5*(sqrt(325) + -3)))**2.\nAnswer: -13120*sqrt(13) + 2185556","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express 0 - p + 0 + (-2 + 1 - 1)*(0 + 2*p + 0) - 128 - 7*p - 130 + 257 + (-4*p - 3*p + 4*p)*(-3 + 1 + 0) + 5*p + p - 3*p in the form r + w*p and give r.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 21\/28*-4 - -9\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is b4 + d36?\nAnswer: dea","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: Let v = 80.2 - 80. Let z(c) = 2*c - 2. Let s be z(2). Is s less than v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = r**5 + r**4 + r**2 - r + 1. Let n(s) = -4*s**5 - s**4 - 5*s**2 + 4*s - 3. Let q(y) = -3*a(y) - n(y). Factor q(u).\nAnswer: u*(u - 1)**3*(u + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.0858 + -28710387261.\nAnswer: -28710387260.9142","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ph when two letters picked without replacement from pshxr.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in 1\/2, 26, 1\/6?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -538.0961 rounded to one decimal place?\nAnswer: -538.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 19603850 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: What is the next term in -35142, -72149, -109156, -146163, -183170?\nAnswer: -220177","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.4 and 402.2893?\nAnswer: 160.91572","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**(-2))**(1\/6)*(w*w*w**(2\/17)*w*w*w)\/w*w**(-1\/3)\/w)**(-4\/13) assuming w is positive.\nAnswer: w**(-500\/663)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*q = -32*q + 369 for q.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*d + 2*j - 8, 3*j - 29 + 26 = 3*d. Suppose -11 = -2*v - 2*v + 5*l, -v = 5*l - 9. Solve -x + d = -v for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((1 - -4) + -1)\/1. Let m be (-20)\/(-12) - (-10)\/(-15). Let f = 22 - m. Solve -5*c - f - a = 0 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 2\/13 (b) 41 (c) -5 (d) 6011 (e) -10 (f) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -10776*b + 75438. Calculate m(7).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (r**2 - 1 + 2*r + 4 - 5)*(-18 + 18 + 8*r + (-r + 6 - 6)*(0 + 3 - 4)) to the form u*r**3 + v*r**2 + y + x*r and give u.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*d + 3*l = -7, 0 = d - 4*d + l - 7 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1*-2 - 7\/(-7). Let v(o) = 3*o**2. Let b be v(d). Suppose -2*p - 32 = -m, -2*p = m - b*p - 33. Calculate the remainder when m is divided by 12.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((s\/((s\/s**(2\/5))\/s))**(-2\/5))**(-3))**(3\/8) assuming s is positive.\nAnswer: s**(63\/100)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 1973514047 to the power of 1\/3, to the nearest integer?\nAnswer: 1254","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(187)\/(sqrt(11)*2) + 5.\nAnswer: sqrt(17)\/2 + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 448*g - 1259*g + 2889 = 37762 for g.\nAnswer: -43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2 + sqrt(1584))*6 + sqrt(1584) - sqrt(1584) - (sqrt(1584)*-1 + 4 - sqrt(1584)))**2.\nAnswer: -3072*sqrt(11) + 101632","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -602089748 or 1?\nAnswer: -602089748","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -66*t - 7. What is the remainder when o(-2) is divided by 32?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 878449 is divided by 43.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -90 - -89. Put -1\/14, 0.4, -0.4, z in increasing order.\nAnswer: z, -0.4, -1\/14, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 3 - 2*c)*(-2*c + 4181*c**2 + c - 4097*c**2).\nAnswer: -168*c**3 + 2*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 330 + -328. Suppose 2 = -s + 1. Let b = -6 - -6. What is the closest to 0.1 in s, t, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-366)\/(-16) - (-2)\/16. Suppose 0 = -26*o + 25*o + f. Let r = o - 23. Is 1\/16 at least as big as r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(132) - sqrt(132)*-2)*2 - -2*sqrt(132)*-1)\/(4*(-2*sqrt(300) - sqrt(300))))**2 + 4.\nAnswer: 911\/225","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -3*f + 9682*f**2 + f**3 - 51 + 6 - 27 - 9660*f**2. What is l(-22)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 14 - 9. Let b be 6*j*8\/60. Suppose 0 = -b*p + 8, 5*k - p - 276 = -4*p. Calculate the remainder when k is divided by 15.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2450414120 a multiple of 28?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -25*s**2 + 60*s**2 - 34*s**2 + 63*s**2 - 30*s**2 - 28*s**2.\nAnswer: 6*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16*q + 269*q**3 - 274*q**3 - 179 + 179 - 3*q**2.\nAnswer: -5*q**3 - 3*q**2 - 16*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*d**5 - 6*d**5 + d**5 + d**5 + 2*d**5 - 2*d**5 + (3 - 3 + 2*d)*(0*d**4 - 2*d**4 + d**4) + 123*d**4 - 15*d**5 - 123*d**4 + 80*d**5 - 6*d**5 - 7*d**5.\nAnswer: 49*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -98.3657794 to 2 dps.\nAnswer: -98.37","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5928786 is divided by 1272?\nAnswer: 1266","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = n**3 - 38*n**2 + 26*n + 102. Calculate a(37).\nAnswer: -305","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 444 minutes after 1:27 AM?\nAnswer: 8:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 1253\/(-3938)*(4320\/63)\/10\nAnswer: -24\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pcp when three letters picked without replacement from ooououndpopuoducuou.\nAnswer: 1\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -z**3 - 8*z**2 - 7*z - 1. Let v be r(-7). Suppose 4*c + 31 = -41. Let h be (-4 - 42\/c) + 102\/62. Which is smaller: v or h?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-4)\/(-20)*12*(-6)\/24\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -m - 2. Suppose 3*p - 8 = d, 2*d = -3*d - 4*p - 2. Let q be j(d). Suppose 0*h + 4*h - 232 = q. Is 22 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -18, -3, -601.\nAnswer: -601, -18, -3, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3098144?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 68 - 36 - 78 = -d - 3*d + 2*d, 6*n + 81 = 3*d for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -143*a**2*f**3*t - 3*a**2*f**3 - a*f**3*t + 2*a*f**2 - 81*f**3*t + 2*f*t wrt a.\nAnswer: -286*f**3*t - 6*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 4245\/429 + (-40 - -30). Is o less than or equal to 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26*u - 552 = 15*u + 5*u for u.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -711059, -711096, -711147, -711218, -711315, -711444?\nAnswer: -711611","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00857821 rounded to three dps?\nAnswer: 0.009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in r**2 - r**2 - 1409*r**3.\nAnswer: -1409*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 2\/4 - 319\/(-22). Let d(m) = 6*m + 0*m - m. Let p be d(12). Calculate the highest common factor of b and p.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 1 - (-2 - -3)*-2. Let n be (4\/((-20)\/15))\/(9\/(-51)). Suppose -19 = -s*d + n. What is the remainder when 45 is divided by d?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 > 982\/1995?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-1446)\/(-14) - (-2)\/(-7) is divided by (28\/4)\/(18\/54).\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 8339, 14999, 21659, 28319, 34979?\n\"Answer: 6660*z + 1679","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 32314824 divided by 18636.\nAnswer: 1734","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -9*q**2 + 110*q - 435. Let o be y(5). Is o at least as big as -59?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -a**2 - 16*a + 18. What is the lowest common multiple of 7 and o(-17)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = 1709*q**2 - 3440*q + 27. Determine c(2).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 3946961.99 rounded to the nearest one hundred thousand?\nAnswer: 3900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -w**2 + 5*w + 10. Calculate f(11).\nAnswer: -56","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22 = -2*b - 2*x, 14*b - 18*b = -3*x + 33 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) be the first derivative of -d**8\/6720 + d**7\/1680 - d**6\/1440 - d**3\/3 - 1. Let q(x) be the third derivative of g(x). Factor q(r).\nAnswer: -r**2*(r - 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.192 < -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -8*o + 103. Calculate the remainder when s(-22) is divided by 94.\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 9772967, 19545924, 29318871, 39091802, 48864711, 58637592?\n\"Answer: -o**3 + o**2 + 9772961*o + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 6\/(-14) - (-527)\/119. Solve -7*y - 16 = -9*y + w, -3*y - 9 = f*w for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*-6*(3 + sqrt(5) + sqrt(5))*-3)**2 - (sqrt(550)\/sqrt(44))\/(2*sqrt(360)).\nAnswer: 93311*sqrt(5)\/24 + 9396","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s + 0*s + 5*u = 17, -41 = -5*s - 2*u. Suppose n - 2*g - 12 = 0, 5*n - 2*g + 16 = 68. Calculate the smallest common multiple of n and s.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6.2647 rounded to the nearest integer?\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = l**3 - 6. Let o be p(0). Let s be 2\/3 - 86\/o. Let c = -14 + s. Solve -r + 5 = c for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 7819 and 217?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve f = -2*d + 5 - 0, 0 = -f + 5*d - 23 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -34009 minus 556?\nAnswer: -34565","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 1, j: 1, d: 2, x: 2, e: 2, l: 1}. Give prob of picking 1 e and 1 y.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*m**3\/11 - 10*m**2 - 1026*m\/11 + 1134\/11.\nAnswer: 2*(m - 63)*(m - 1)*(m + 9)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*i - 456 = -462 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b + 21 = 5*r, 15 = b + 3*r - 2. Suppose 8 + 12 = b*h. Calculate the greatest common factor of 80 and h.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 171 minutes before 9:47 PM?\nAnswer: 6:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -215188*y**4 + 16622*y**2 - y + 27.\nAnswer: -5164512*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) be the first derivative of -z**4\/2 - 34*z**3\/3 - 79*z**2 - 126*z - 3051. Factor l(k).\nAnswer: -2*(k + 1)*(k + 7)*(k + 9)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (126\/(-175))\/(15\/((-525)\/(-14))).\nAnswer: -9\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + 4*(-4 + -3 + -1 + sqrt(13) + sqrt(1573) + -1 + -1 + sqrt(1300) + -4).\nAnswer: -58 + 88*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 less than or equal to -1\/14835637?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 54 + -39. Let f = p - 10. Let r be (10 - f)\/(-1 - -2). Let v(b) = -4*b + 5. Calculate v(r).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = 33*n**2 - 364*n + 20. Is u(-51) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 33 + -18. Solve 0 = t + 4*t - 15, 3*n = -5*t + z for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) be the second derivative of x**5\/10 + x**4 + 3*x**3 + 4*x**2 - 11*x + 8. Factor m(r).\nAnswer: 2*(r + 1)**2*(r + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = 53*f**2 - 28*f - 268. Is m(35) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = 97*c**2 - 2*c + 1. Let h(m) = m**2 + 53*m + 708. Calculate the lowest common multiple of h(-23) and i(1).\nAnswer: 288","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -4 and 494869.\nAnswer: -1979476","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 86 + 10 = 12*w. What is the remainder when 551 is divided by w?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-400)\/18 + ((-18)\/(-21))\/((-3429)\/(-889)).\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 32198, 32200, 32202, 32204, 32206, 32208?\nAnswer: 32210","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = n**3 + 23*n**2 + 16*n + 72. Let b be k(-22). Let r = -56 + b. Does 37 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -6*h**2 - 2*h**2 - 268*h**4 + 13*h**2 - 6*h**2 + (3*h**2 - 5*h**2 + 0*h**2)*(2*h**2 - h**2 - 3*h**2).\nAnswer: -264*h**4 - h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1.8954 + -2.9921. Round d to 2 decimal places.\nAnswer: -1.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1597?\nAnswer: 1597","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**1)**22\/(d*d\/d**(-1\/4))**41 assuming d is positive.\nAnswer: d**(-281\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x\/(x\/x**(-12\/5)*x))**(-4\/11)*(x\/(x\/(x**(5\/3)\/x)))\/(x*x**(2\/15)) assuming x is positive.\nAnswer: x**(127\/165)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Product of -10 and 1122.\nAnswer: -11220","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 65122?\nAnswer: 2, 32561","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6279)\/1495*21\/((-378)\/60)?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rzo when three letters picked without replacement from {f: 2, k: 1, r: 1, z: 1, h: 1, o: 1}?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3310?\nAnswer: 2, 5, 331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2.072037 millennia to years.\nAnswer: 2072.037","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = z - 2. What is the remainder when (0 + -1)*126\/(-14) is divided by s(7)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = h - 112 + 23. Let u(s) = 6*s - 2. Let w be u(-3). Let p = w + h. Is p a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 296\/7 - 42. Suppose b = 2*f + f + 1, 5*b + 6 = 4*f. Which is smaller: k or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-30)\/(-66)*(-2)\/(-10)?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 5*k**2 + 2*k + 10014*k**5 - 26 - 11400*k**5 - 128 + 0*k wrt k?\nAnswer: -83160*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -4*r**3 - 12*r**2 + r + 4. Let w(p) = p**2 - p - 1. Calculate q(s) + 3*w(s).\nAnswer: -4*s**3 - 9*s**2 - 2*s + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g + 4*j = 0, 3*j - 2 = g - 3*g. Let n be 2 + -2 + 4 + g. Let b = 20 + n. Does 22 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -g + 4. Let o be s(5). Let c(m) = 6*m - 4. Let i(w) = -w + 2*w + 0 - 1. Calculate o*c(q) + 4*i(q).\nAnswer: -2*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-1)\/(-2))\/(11\/33*-31). Which is smaller: r or 1?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -114*g + 84. Let m(n) = 115*n - 82. Let p(o) = 5*m(o) + 4*x(o). Find the first derivative of p(t) wrt t.\nAnswer: 119","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((y*y*y*y**(-1))\/y)\/y*y)\/y)**(-10)\/(y\/(y\/(y**(-2\/7)\/y)*y)*(y*y*y**(-2))\/y) assuming y is positive.\nAnswer: y**(23\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q - j = -0*j - 11, 5*q = -2*j + 27. Suppose -7 = q*y - 37. What is the units digit of y?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 5349 - 5349.08. What is the biggest value in n, -17, -2\/5, -3?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-75)\/(-240)*-2*6)\/(1\/(-4)).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -30 in 1, -1\/3, 1\/78, 7, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 75174 divided by 1042.\nAnswer: 37587\/521","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3.0664 - 1530.7664. Round p to the nearest 10.\nAnswer: -1530","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 404036192 and 21644796?\nAnswer: 1212108576","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = b. Let v(d) = -38203*d. Calculate r(v(g)).\nAnswer: -38203*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 676 or 677?\nAnswer: 677","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sum 40.44057787 and -2.\nAnswer: 38.44057787","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/3? (a) -0.4 (b) -19862.22 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -10172*v**3 - 6206*v + 114310136 - 114310136 wrt v.\nAnswer: -61032*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*-4*(2 + sqrt(13) + 1 + -4))**2.\nAnswer: -800*sqrt(13) + 5600","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/4? (a) 57 (b) 5 (c) -0.06\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = 33*j - 2. Let a(s) = 231*s - 15. Let q(z) = -2*a(z) + 15*n(z). Let o be 8\/10 + (-24)\/30. Let v(t) = t + 11*t - 13*t + o*t. Determine v(q(w)).\nAnswer: -33*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 71 + (25 - -76) - 78?\nAnswer: 94","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 713947725 a multiple of 45?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 287734293?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4693086 divided by -4693086.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 52056061 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1 by -1376779.\nAnswer: -1\/1376779","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 10\/2*-16*(-20)\/320. Solve -x*c + 4*w + 41 = 34, -5*w = c + 16 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -5*j - 2. Let z = -3161 - -3158. Let p(d) = -9*d - 3. Suppose 24 = 5*s + n, -5 - 2 = -s + 2*n. Give s*f(v) + z*p(v).\nAnswer: 2*v - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(210)\/(sqrt(28)\/sqrt(4)*-2))\/(-6*sqrt(40) + (sqrt(10) - sqrt(1210)*2)) + -3.\nAnswer: -3 + sqrt(3)\/66","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1865514?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Add together 2 and -434277.995.\nAnswer: -434275.995","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 256 is divided by 26?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -100101111100011 - 101?\nAnswer: -100101111101000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1022002001112000121 + -2?\nAnswer: -1022002001112000200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 5\/12 and 57\/10713494.\nAnswer: 64280964","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -58\/229 or 1?\nAnswer: -58\/229","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*w - 2*j - 126, -3*w + j = -85 + 9. Let x be (-15)\/(-4)*32\/6. Let k = w - x. Does 3 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -6*t**2 - 521*t - 3633. Determine g(-81).\nAnswer: -798","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1116 is divided by 547.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p, 2 d, and 1 f when four letters picked without replacement from dfpfaffffdfafaafpaa.\nAnswer: 3\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -p**3 + 3*p**2 + p. Give z(-2).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*b + 30*b**2 + 38*b**2 - 4*b**3 - 71*b**2 - 7 in the form p*b + m + c*b**2 + k*b**3 and give p.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = 22 - 33 + 1203*l - 1204*l. Let m(i) = i + 10. Determine 5*f(g) + 4*m(g).\nAnswer: -g - 15","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -282 times 5?\nAnswer: -1410","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -f - 42 + 13. Let j = -13 - f. What are the prime factors of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -13*j**3 + 2*j**2 + 2*j + 1. Let y be i(-1). What is the third derivative of -8*g**5 + 107*g**5 + y*g**2 + 206 - 206 wrt g?\nAnswer: 5940*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 171.21711823 + -179.8171177. Let r = d + 8.6. Round r to 6 decimal places.\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 2 - (118\/72)\/(30\/80) and 32\/3?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -z - 2*u + 5*u - 30, -u - 146 = 4*z. Find the common denominator of 10\/(-15) - (-133)\/(-12) and z\/52 - (-19)\/19.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 262 and 17423.\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -43011948 - -43011988.899819. Let d = y - 40.9. Round d to five decimal places.\nAnswer: -0.00018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is u in 2*u**5\/13 + 20938*u**4\/13 - 482782*u**3\/13 - 1573954*u**2\/13 - 1615820*u\/13 - 41968 = 0?\nAnswer: -10492, -1, 26","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 63*z - 68*z + 40. Suppose 2*k - z = 0, 3*q - 5*q = 3*k - 20. Let v(d) = d**3 - 5*d**2 - 2*d - 3. Determine v(q).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = 13*x**2 + 3*x - 2. Let j be r(-3). Let g = 151 - j. Calculate the highest common factor of g and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = w**2 - 2*w + 3. Let r be j(2). Suppose 69 = r*k + 24. Is k 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 p and 1 d when two letters picked without replacement from {p: 7, d: 1}?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = 2*q**3 - q**2 + 1. Let l be i(2). Determine x, given that 5*x**4 - 3 - 6*x**3 + l*x - 3*x - 4*x**3 - 2 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (2 - -1)\/(3\/2). Let b(i) = 2*i. Let y be b(2). Find the second derivative of -3*c + 0*c**y - c**4 + 0*c - n*c**4 wrt c.\nAnswer: -36*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -721714 + -130164.1?\nAnswer: -851878.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s**(16\/5)*s*(s**(-16)\/s*s)\/s assuming s is positive.\nAnswer: s**(-64\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29*b + 26 = 84. Solve -5*m - 2*u = -9*m + 8, -b*m - 5*u - 20 = 0 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -0.4 (b) 3 (c) 1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -9 - z**2 + 0 + 58 - 1 - 22*z. Let d be q(-24). Solve d*k = 3*k + 15 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 890 - 872. Suppose z*c - 30*c + 96 = 0. Let r = 0 - -4. Solve h + 5*k = c, k = 2*h + r*k - 9 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -1 + 1 - (-1)\/1. Let u be (4\/6)\/(16\/(-24)). Sort u, 4, s.\nAnswer: u, s, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1926?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 2 (base 11) to base 8\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = c**3 + 7*c**2 + 2*c + 3. Let u be g(-7). Let a = u - -22. What is the lowest common multiple of 6 and a?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*l - 2*l + 6*l)*(1 - 3 + 0)*(5106 - 5106 + 69*l) to t*l + u + d*l**2 and give d.\nAnswer: -276","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Add together -186.6522 and -41.\nAnswer: -227.6522","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from dbbjbpp. Give prob of picking 1 d and 2 b.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 271?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from owooowjiwxo. What is prob of sequence wi?\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = 2*l + 17. Let q be h(-6). Suppose -5*i = -5*f - q, -3*i - 4*f = i - 36. Suppose i*w - 127 = 368. List the prime factors of w.\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 40368?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36 = 2*s - 22. Let q(n) = -4*n**3 - 2*n**2 - n - 2. Let j(a) = -13*a**3 - 7*a**2 - 2*a - 7. What is s*q(f) + 2*j(f)?\nAnswer: 2*f**3 + 3*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 133305 a multiple of 56?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -50647, -101293, -151939, -202585, -253231, -303877?\nAnswer: -354523","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -25985 + 25985. Solve 5*o + j + 26 = 0, m = 3*o - 4*j - 37 + 48 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**(-2)*d)**(-10\/3))**(-2\/21)*((d*d\/d**(-1\/13))\/d**(4\/3))\/(d*d\/d**1*d)**(-31\/4) assuming d is positive.\nAnswer: d**(26087\/1638)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -10372, -10293, -10192, -10063, -9900, -9697, -9448?\nAnswer: -9147","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 956080 and 22496?\nAnswer: 1912160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*c - 2*c + 2*c)*(-218*c**3 - 55*c**3 + 51*c**3).\nAnswer: 444*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 32*-1589.764.\nAnswer: -50872.448","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = -2*v + 4*u, 0*u = 4*v - 3*u + 36. What is the common denominator of -4 - -6 - (-25)\/(-16) and ((-54)\/10)\/(v\/(-9))?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -a527 + 1?\nAnswer: -a526","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 121 divide 118939975?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -b**3 + 4*b**2 + 8*b + 2. Let p be w(6). Let l be ((-2)\/(-4))\/((p\/180)\/(-11)). Determine y so that l*y**2 - 40*y**2 + 15*y - 7 - 19 + 6 = 0.\nAnswer: -4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -150*f**2 + 457125736 + f - 457125736 - 2*f.\nAnswer: -150*f**2 - f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -4 - -4.02. Put 0.5, 0.4, s in ascending order.\nAnswer: s, 0.4, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -40266670*r - 95646525 wrt r?\nAnswer: -40266670","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1563 - 1564. Sort -3, t, -186, 1 in decreasing order.\nAnswer: 1, t, -3, -186","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 556 - 556. Suppose -3*i - 7 = p, -3*p - 2*p + 10 = g. Put i, 5, -9, 3 in ascending order.\nAnswer: -9, i, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -380 + 380 + p.\nAnswer: p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 36264463 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 33 and 16044?\nAnswer: 176484","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*y**2\/4 - 31755*y\/2 - 63507\/4 = 0.\nAnswer: -21169, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 2294166289 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 - ((-5 - 6) + 12)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -20*g - 221. Let v be s(-36). Calculate the lowest common multiple of 22 and v - (-1 - (5 + -5 - 0)).\nAnswer: 5500","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 30 smaller than 41?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) be the first derivative of y**2\/2 + y - 23. Let l be (-2)\/1 - (-4 + 0). Give x(l).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = 3*n - 11. Let t be w(4). Let d be 3 - (-73)\/(-826)*34. Which is smaller: t or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1120071645 and 2835?\nAnswer: 2835","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*j = 15 + 18. Solve 4*r - 5 = j for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*i, -2*z - 16 = 5*i - 2. Let a(s) = -s + 177. Let g be a(z). Is 185 equal to g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-185*f**5 + 17*f**5 - 402*f**5)*(3 - 3 + 2).\nAnswer: -1140*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -2*l - 4. Let m be h(-14). Let s be (10\/4 + -2)\/(4\/m). Put -2, s, 4, 9 in ascending order.\nAnswer: -2, s, 4, 9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3)\/2*(-115)\/((-4945)\/(-1634))?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.06 * 40.\nAnswer: -2.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = n**2 - 2*n + 4. Let a be p(2). Suppose 4*u - d = 12, d = -a*u - 3 + 15. Solve 0 = -2*f - u*j + 25, f + 5*j = -2*f + 40 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 10596316089 + 36.\nAnswer: 10596316125","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -1 + 3 - 7*x + 5. Suppose 5*h + 17 = -13. Calculate the remainder when d(h) is divided by 13.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f - 9 = -3*z + 4*f, 0 = 5*z + f - 43. Suppose d - z = -3*d. Let p(m) = -10*m - d*m + 6*m. Let j(c) = -c**2. Calculate p(j(q)).\nAnswer: 6*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (10 - (-15 + 36) - (-14 - 0)) + -2?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -1, -29, -109, -265, -521, -901?\n\"Answer: -4*s**3 - 2*s**2 + 6*s - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 29\/5 of a litre?\nAnswer: 5800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -158, -1, 7\/8, -0.2, 0 in descending order.\nAnswer: 7\/8, 0, -0.2, -1, -158","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wowwzoowozobozoowooo. What is prob of sequence ow?\nAnswer: 11\/76","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 3063361302.87253965 + -3063361231. Let b = -0.87242665 + h. Let x = b + -71. What is x rounded to 5 dps?\nAnswer: 0.00011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**49\/l*l*l**34\/l*l)**(-37) assuming l is positive.\nAnswer: l**(-3071)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vppp when four letters picked without replacement from lpccpllvpplppppplpp?\nAnswer: 55\/5168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y - 5 = 3. Suppose o + o = y. Let k(t) be the third derivative of -t**4\/24 + t**3\/2 + 2*t**2 - 87*t - 3. Determine k(o).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zjz when three letters picked without replacement from jjzjjzjzzjjzjzjz?\nAnswer: 9\/80","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 2038888364?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 35360789?\nAnswer: 37, 955697","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 - (0 + -2 + 5).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l*l*l\/l**(-11\/5))\/l**(2\/9)*(l**5\/l)**(1\/48))**(7\/2) assuming l is positive.\nAnswer: l**(6377\/360)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 44205?\nAnswer: 3, 5, 7, 421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 12*l - 6*l - 132. Calculate the remainder when 809 is divided by l.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.0149 - 3.1151. Let x = -0.13 - f. Which is the closest to x? (a) -1\/2 (b) -2 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -1225155 and -1225155 non-equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 11234 != 11233?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -2d + 2?\nAnswer: -2b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -14514 + 14528. What is the lowest common multiple of p and 7?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*c + 0 - 4 - 2586*c**3 + 2585*c**3 - 1 + 4 in the form t + b*c + p*c**2 + i*c**3 and give i.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = 21*q + 36. Let b be f(17). Suppose -7*s + 55 + b = 0. List the prime factors of s.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) be the second derivative of -x**7\/210 + x**5\/6 + 15*x**2\/2 - 4*x. Let a(w) be the first derivative of n(w). Find the third derivative of a(b) wrt b.\nAnswer: -24*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 168 and 177.\nAnswer: 345","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 17698902 times 0.06\nAnswer: 1061934.12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -46*q = -42*q - 20, 2*j = 4*q + 1568. List the prime factors of j.\nAnswer: 2, 397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in five eighths of a centimeter?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = 9*q**3 - 5*q**2 - 6*q - 6. Let s(o) = 4*o**2 + 5*o - 10*o**3 - 4*o**3 + 5 + 6*o**3. Give 6*s(g) + 5*v(g).\nAnswer: -3*g**3 - g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = 11*h. Let c(a) = 11*a. Give -3*c(k) + 2*x(k).\nAnswer: -11*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (3 + -2*2)*9. Let k = s + 14. Factor -3*u**3 + 13\/3*u**4 - 1\/3*u**2 + 2\/3*u - 5\/3*u**k + 0.\nAnswer: -u*(u - 1)**3*(5*u + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 46334*a**2 - 58370 wrt a.\nAnswer: 92668*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is -2 at least 11\/51375?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 1000424434 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put -665, 4, 7943, -2 in increasing order.\nAnswer: -665, -2, 4, 7943","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 98 or 197\/2?\nAnswer: 98","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(85)*-2*4 + sqrt(85))\/(6*sqrt(80))*6.\nAnswer: -7*sqrt(17)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 11186 and 168.\nAnswer: 134232","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (2200\/30)\/20 + (-10 - -5). Sort b, 26.1, -1 in decreasing order.\nAnswer: 26.1, -1, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -855 - -811. Suppose 5*a = 3*m - 302, -m - 2*a + 110 = a. Let t = m + n. Is t a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 1\/16 of a millennium?\nAnswer: 750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 154*c**3 - c**5 - 141*c**3 - 69*c**2 - 45*c**2 - 24*c**4 - 114*c**3.\nAnswer: -c**2*(c + 2)*(c + 3)*(c + 19)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9043903 to the power of 1\/8, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -112943, -113062, -113181, -113300?\n\"Answer: -119*g - 112824","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 415639 is divided by 103633.\nAnswer: 1107","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-18)\/(90\/15)*36\/(-11772).\nAnswer: 1\/109","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 126713575?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 570 and 621870?\nAnswer: 570","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 45.69 and -11.\nAnswer: -502.59","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -440, -486, -592, -770, -1032, -1390?\nAnswer: -1856","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-70)\/3)\/(2\/(-6)). Suppose -5*n + 5*h - 2*h = -u, n = h + 14. Let t = 14 - n. Solve j = -t*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k\/k**(1\/2)*k)\/k)**2\/(k**(-3\/11)\/k**(-4)) assuming k is positive.\nAnswer: k**(-30\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 38590?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in eleven halves of a tonne?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2\/3 or 1\/172?\nAnswer: 1\/172","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -9*u**3 - u**2 + 12*u + 27. Calculate m(-4).\nAnswer: 539","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 95878 divided by -2?\nAnswer: -47939","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) be the third derivative of 0*j - 1\/42*j**4 - 1\/21*j**3 + 0 - 4*j**2 - 1\/210*j**5. Let w(u) = 0. Calculate u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 0 + 11310130100?\nAnswer: 11310130100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = 16*s + 62. What is the units digit of u(16)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = 347959856*y. Let b(i) = 2*i**2. What is s(b(l))?\nAnswer: 695919712*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m + c + 22 = -3*c, 0 = -5*m - 5*c - 35. Let o be (0 - 1)\/(m\/6). What is the second derivative of 3*r**o - 4*r**3 - 4*r + 8*r wrt r?\nAnswer: -6*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 84 + -79. Let l(g) be the third derivative of 0*g**3 + 0*g**4 + 0 + 0*g - 1\/30*g**d + 5*g**2. Let y(u) = -4*u. What is l(y(c))?\nAnswer: -32*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = y**3 - 4*y**2 + 2. Let o be (-4)\/(-3)*15\/10. Let g be o\/3*(-24)\/(-4). What is the remainder when s(g) is divided by 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*j + 2 = 16*r - 11*r, 0 = -9*r + 4*j + 4 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -100, -123, -144, -163, -180?\nAnswer: -195","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*l**2 - 2*l**2 + 4*l**2)*(4 - 4 + l**3) + (4*l**3 - 5*l**3 + 6*l**3)*(2 - 2 - 2*l**2).\nAnswer: -8*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*o + 17 + 3, n = 3*o - 8. Let i(d) = 2*d**2 - 4*d - 1. Let k be i(n). Solve 0 = 5*a + k for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-4)\/(-28) + (-841)\/7. Let u = 170 + r. Calculate the greatest common factor of 10 and u.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = f**3 - 3*f**2 - 6*f - 3. What is t(5)?\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*-1*(((-6*-2*sqrt(68))**2 - ((-1 + sqrt(68))*3)**2) + -1).\nAnswer: -18340 - 72*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (sqrt(272) - (-2 + sqrt(272)))**2 + sqrt(272) + (sqrt(170)\/sqrt(5))\/sqrt(2) + -3.\nAnswer: 3 + 5*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -2, -15\/2032 in decreasing order.\nAnswer: 0, -15\/2032, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n\/(n**14\/n))\/(n\/(n**(-2\/31)*n)) assuming n is positive.\nAnswer: n**(-374\/31)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide 140 by -877263.\nAnswer: -140\/877263","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 9593 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-33)*(t*t*(t\/t**(-28))\/t)\/t)\/(t*t**(-2\/13))**(-1) assuming t is positive.\nAnswer: t**(-41\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -556 divided by 3\nAnswer: -556\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = 13. Let c(v) = v - 1. Let h(f) = c(f) + u(f). What is the units digit of h(-5)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -235 + 4?\nAnswer: -231","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 304 - 284. Suppose o*z - 55 = 9*z. Put 4, z, 18 in decreasing order.\nAnswer: 18, z, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1367327 is divided by 6?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = 13*p + 9*p - 12*p - 7. Let o be v(1). Solve 0 = -5*y + m - 15, y + 0*m + 19 = -o*m for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 128462376 and 48.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = 7 + 2 - z**2 - 5 - 12*z. What are the prime factors of u(-4)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -99 = -5*i + 31. What is the tens digit of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine u so that -4*u**5 + 420*u**4 - 9440*u**3 - 84160*u**2 - 107520*u + 200704 = 0.\nAnswer: -4, 1, 56","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(136) - sqrt(136))\/sqrt(8) + (sqrt(17) - (-2 + sqrt(68) + sqrt(17))**2 - sqrt(17)) - -4*(1*sqrt(153)*3 + sqrt(153))\/sqrt(9)) + -1.\nAnswer: -158 + 26*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1470)*-2)\/sqrt(6).\nAnswer: -14*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-1)\/2*(3280 - 6). Let o = -737 - u. What is o rounded to the nearest one thousand?\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 11691\/845 + -6\/169. Let i = t + -1681\/120. Find the common denominator of i and -83\/4.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*f**3 - 7*f**3 + 4*f**3 + f**3.\nAnswer: 3*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -660961*-18.4\nAnswer: 12161682.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -f + 18. Let a be r(-12). Let n be -4 - 8*a\/(-55). Put 3, 6\/11, 0.3, n in decreasing order.\nAnswer: 3, 6\/11, n, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s - 5 = 3. Let q be 5 + 4\/(s\/(-6)). Let c(r) = 3*r**2 + 6*r**2 - 5*r**2 - 5*r**q. Let y(o) = o**2. Determine y(c(n)).\nAnswer: n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*t - 2*t - 4*u - 17 = 0, -8*u + 6*u + 28 - 33 = -t for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 168?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 122 is divided by 22?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -16*(-11)\/(-880) + (-11)\/(-5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5 - 3 - (-26 + -1) is divided by 7.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n = 6, 4*n + n = 4*a + 6. Let x be (-9)\/15*20\/(-24). Let s = -3.92 + -0.08. What is the closest to x in -0.2, a, s?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-75)\/(-45))\/((-3)\/3)*18*72\/(-240)\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -t**2 - 2*t**3 + 3*t**3 + 750 - 748. Let v be (2 - 2)\/(2\/(-2)). Determine r(v).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -r**3 + r**2 - 1. Let w(k) = k**3 - 2*k**2 - k + 1. Suppose 0 = 79*j - 47*j - 32. Calculate j*w(p) + 2*n(p).\nAnswer: -p**3 - p - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 72 and 14562?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express ((-v - 4*v + 3*v)*(-1 + 6 + 0) + 13 - 13 + 2*v)*(7*v**2 - 14*v**2 + 9*v**2) in the form s*v**3 + u*v + o + r*v**2 and give s.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1724\/7657 + 42\/589. Which is the third biggest value? (a) t (b) -2\/11 (c) 0.226\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ku when two letters picked without replacement from {w: 2, x: 3, z: 4, k: 7, u: 2}.\nAnswer: 7\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (68*w**4 + 175*w**3 - 175*w**3 + (-3*w**3 + 0*w**3 + 4*w**3)*(18*w + 5*w + 2*w))*(1 - 1 + 2).\nAnswer: 186*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(-6*(sqrt(2450) - sqrt(2450)*2)\/(3*sqrt(90)))**2.\nAnswer: 3920\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 = 4*m + 2. Suppose -2 - 10 = -m*v. Suppose -4*d + 2*x + 10 = -3*x, 5*d + 3*x = -6. Solve d = u - v*u - 15 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 49\/112359 and 53\/402.\nAnswer: 224718","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.4 * 2033261.\nAnswer: -813304.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = 8*u**2 - 11*u + 23. Determine s(5).\nAnswer: 168","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 13209490621 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 8024.816 years?\nAnswer: 8.024816","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i + 3 = -7. What is the smallest common multiple of i and ((-5)\/(-4))\/((-315)\/40 + 8)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find y, given that 5*y**3 - 105*y**2 - 765*y + 18785 = 0.\nAnswer: -13, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -3 + 5 - 4 - 6*y. Suppose 0 = -2*g + 4*g. Let i(m) = g - m - 3*m + 1 - 2. What is -8*i(w) + 5*q(w)?\nAnswer: 2*w - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 48 - 113. Let b = d + 37.2. Round b to the nearest integer.\nAnswer: -28","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = 3*m - 4*k, -4*m - 14 = 3*k - 5. Let x be (-286)\/(-6) + (-1)\/(-3). Suppose 3*b - 54 = -3*r, 2*b + x = 2*r - m*b. Is r a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.31, -49, 25\/8, 1\/9, 1\/5, 0?\nAnswer: -49","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*y**2 + 2*y**2 + y**3 + (6*y - y - 3*y)*(-y**2 - 2 + 2) + 7329*y**3 + 14926*y**3 + 5142*y**3 in the form b*y + d*y**3 + n + t*y**2 and give d.\nAnswer: 27396","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -6*d - 11. What is the tens digit of g(-6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 693506 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v - 5*o + 25711 = 0, -25709 = 5*v - 8*v - 4*o. Is v a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -196*m**2 - 3*m - 21. Let w(f) = -49*f**2 - f - 5. Let g(z) = 2*t(z) - 9*w(z). What is the hundreds digit of g(-2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -5, -46, -77, -92, -85?\nAnswer: -50","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 5 - 4)*(2 + d**2 - 2) + 60*d**2 + 7*d**2 - d**2 + d**2 + 3*d**2 + 0*d**2.\nAnswer: 69*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l**3\/6 - 20209*l**2\/6 - 52226780*l\/3 - 3938947742 = 0. Calculate l.\nAnswer: -9986, -237","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*i**2 - 17*i**2 + 4*i**2 + 6*i**2.\nAnswer: -4*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 11228 + -179555\/16. What is the common denominator of (3 + -8)*38\/(-64) and c?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*s + 336 = 24*s. Suppose -35*c + s*c = 1659. What is the units digit of c?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -2*i - 0. Suppose 2*z - 5*g = 4, -i = 2*g - 5. List the prime factors of z.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 25241?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-12)\/10)\/((-5)\/50). Suppose 0 = -3*t - 2*d - g, -2*t + 5*t - 2*d = 0. Let i be (-5)\/(0 + (0 - t)). Put i, 0.5, -0.5 in decreasing order.\nAnswer: 0.5, -0.5, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -51*l + 199*l - 46*l - 52*l - 54*l.\nAnswer: -4*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -14*t - 28. Is 23 a factor of l(-38)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 divided by 218?\nAnswer: 1\/109","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(63)\/(sqrt(9)\/sqrt(3)))\/(sqrt(7) + (sqrt(28)\/(2*sqrt(4)) - sqrt(7))))**2.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 22934?\nAnswer: 2, 11467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -m + 15. Let d(s) = 2*s**2 - 4*s - 6. Let c be d(5). Suppose -3*i - 4*b = -13 - 32, 0 = -3*i + 3*b + c. Is z(i) a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 <= 2\/1589?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -10.58 rounded to 1 decimal place?\nAnswer: -10.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*y - 11*y + 36 = 4*c, -5*y + c = 25 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = 10*z**2 + 6*z**2 - 5*z**2. Let r(i) be the first derivative of 0*i - 1\/2*i**2 + 52. Give r(f(g)).\nAnswer: -11*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1 + 1.5. Let h = -10.2 + 10.4. What is the third smallest value in 0.3, d, h?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23*b = 341*b - 3498 for b.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Determine x, given that 18*x**4\/5 - 807*x**3\/5 + 4241*x**2\/5 - 1150*x + 2184\/5 = 0.\nAnswer: 2\/3, 7\/6, 4, 39","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -13*n. Let k(p) = 28*p. Give k(x(h)).\nAnswer: -364*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 503853641.\nAnswer: 131, 293, 13127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10111 (base 4) to base 10.\nAnswer: 277","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:34 AM and 12:50 PM?\nAnswer: 496","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (9 + 2*h - 4 - 18)*(33*h**2 - 13*h**2 - 271*h - 22*h**2).\nAnswer: -4*h**3 - 516*h**2 + 3523*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -n**3 + 3*n**2. Let k(q) = -3*q**2 + 2*q - 2*q**3 + q**3 - q. Let j be k(-4). Suppose -j = -3*x - x. Give i(x).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-120*l**2 + 57*l**2 + 142*l**2 - 6*l**3)*(-3*l**2 + 0*l**2 + 2*l**2).\nAnswer: 6*l**5 - 79*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -67 - -72. Solve 5*c - 30 = -5*s, 0 = -0*c - 5*c + q*s - 10 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*h - 352 + 387. Let k = 2 - 0. Solve -h = -k*y + y for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**19*k*k**(-1\/10))\/(k**(-21)*k**(3\/4)) assuming k is positive.\nAnswer: k**(803\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 71, 75, 91, 125, 183, 271, 395, 561?\nAnswer: 775","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4544 is divided by 48?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.442491257 and -0.5.\nAnswer: 0.2212456285","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -29250 + 52673. What is the units digit of z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = 1. Let h(u) = 4*u**2 + u + 5. Let m(v) = h(v) - 5*j(v). Let a(t) = -t - 3. Let o be a(-5). List the prime factors of m(o).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -r**4\/6 - r**3\/6 + 8*r**2\/3 + 8*r\/3 = 0.\nAnswer: -4, -1, 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 3556354 or 3556415?\nAnswer: 3556415","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13 - (15 - (21 - -6)).\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = 505*b**3 + b**2 - 2*b + 1. Suppose -4*g - 5 = u, -2*u + 0*g = g + 3. Let x be 1\/(5\/(4 - u)). Is h(x) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 2\/((-16)\/12)*(1 + 3). Let h be (-18)\/15*10\/n. Let v(m) = -4*m + 2. Let o(f) = 4*f - 3. Let i(p) = 3*o(p) + 4*v(p). Determine i(h).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 3 - 0. Suppose -4*q + b*a = -q + 42, -q + 4*a = 8. List the prime factors of q\/(-2) - (-7 - -5).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3*h**4 - 396*h**3 + 1749*h.\nAnswer: -36*h**2 - 2376*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -131 + -382?\nAnswer: -513","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -1001010101110111101 (base 2) in base 14?\nAnswer: -7d7ad","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -8 + 9. Let v be 12\/8*l\/9. Which is the closest to 1? (a) v (b) -8 (c) -2\/17\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g = -2*x - 8, -25*x - 5*g - 15 = -24*x. Let r(q) = 9 + 3*q - q - 2*q**2 - 4*q. Let k(i) = i**2 + i - 5. Calculate x*k(j) - 3*r(j).\nAnswer: j**2 + j - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*j**5\/17 + 3832*j**4\/17 - 11478*j**3\/17 = 0 for j.\nAnswer: 0, 3, 1913","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -d**3 + 8*d**2 - 18*d - 14. Let w be p(-6). Let b be (-1)\/(-5) - w\/(-10). Calculate the greatest common factor of b and 80.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 39 divide 21411?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:41 PM and 9:52 PM?\nAnswer: 11","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:56 AM and 5:40 PM?\nAnswer: 704","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert -136 (base 8) to base 13.\nAnswer: -73","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2637*z = -2841*z + 5120*z - 7518 for z.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 + 1 - 22117*m + 0.\nAnswer: -22117*m + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:25 AM and 3:11 PM?\nAnswer: 286","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = 4*j + 7*j**2 + 0*j**2 - 2*j. Let p(l) = -5*l + 13. Let t be p(2). What are the prime factors of k(t)?\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = o - 2. Let u = -3 - -5. What is the least common multiple of o and u?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + ((1 + 3*(sqrt(2736) + sqrt(2736)*3 + 4))*-2)**2 + 1.\nAnswer: 14976*sqrt(19) + 1576609","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find n such that 2*n**5 - 4*n**4 + 4*n**2 - 2*n = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = 2*x. Let t be (1 + 1)\/((4 - 0)\/4). Let y(r) be the second derivative of 0*r**t + 0*r**3 + 1\/12*r**4 + 4*r + 0. Calculate y(g(m)).\nAnswer: 4*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = 8*j**5 + 28*j**4 + 30*j**3 + 8*j**2 - 2*j + 4. Let a(i) = i**4 + i**3 - i**2 - i + 1. Let g(y) = -4*a(y) + p(y). Factor g(n).\nAnswer: 2*n*(n + 1)**2*(2*n + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = g - 2*k, 34*g - 30*g + 2*k = 36. Solve 5*l - 3*n = 33 - g, 2*l - n - 9 = 0 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) be the first derivative of q**7\/63 - 2*q**6\/45 + q**4\/9 - q**3\/9 + 5*q + 4. Let y(b) be the first derivative of a(b). Suppose y(d) = 0. Calculate d.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -111201121200 (base 3) to base 13\nAnswer: -95c91","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1008\/(-231))\/((-23)\/(1265\/50))*(-20)\/6?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -79258 or -79259?\nAnswer: -79258","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0001317 to four decimal places.\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 12*b**2 - 2*b + 12*b**2 + b**6 + 57*b**5 - 25*b**2 wrt b.\nAnswer: 120*b**3 + 3420*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 608 divided by -4549.\nAnswer: -608\/4549","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -929, -618, 427, 2572, 6183, 11626, 19267?\nAnswer: 29472","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u = -6*u - 5*s + 375, 3*u - 310 = 2*s. Suppose -9*q = q - u. Calculate the remainder when 159 is divided by 184\/q - ((-99)\/15 + 7).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -529\/20 + 96\/5. Find the common denominator of 12\/167 and g.\nAnswer: 668","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 207172 and 31556?\nAnswer: 1372","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 8100?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -91\/1350 and -109\/439380?\nAnswer: 6590700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 74.50664 grams in tonnes?\nAnswer: 0.00007450664","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t - 16 = -9*t. What is the units digit of t\/6 - 26\/(-6)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor f**4 + 288*f**3 + 568*f**2 - 1152*f - 2288.\nAnswer: (f - 2)*(f + 2)**2*(f + 286)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -3*f**2 - 6*f - 21. Suppose 3*y - 3*o - 8 = -8*o, 0 = -2*o + 2. Let v(i) = -1. Let d(w) = y*k(w) - 18*v(w). Suppose d(g) = 0. Calculate g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 - 3 - 15*f**3 + 10*f**3.\nAnswer: -5*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 10346 and 42?\nAnswer: 31038","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 1\/8154918 and 37\/162?\nAnswer: 8154918","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ennneneennnen. What is prob of picking 1 n and 3 e?\nAnswer: 16\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 4170.5 * 10\nAnswer: 41705","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*r**4 + 33*r + 28*r - 41*r + (-2 + 2 + 2*r**3)*(r + 4*r - r) - 2*r**3 + 3*r**4 + 2*r**3 to the form b*r**2 + l + n*r + h*r**4 + s*r**3 and give n.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = t**3 - 5*t**2 + 2*t - 8. Let k be s(5). What is the third derivative of -73*a + 3*a**k - 11*a**6 + 73*a wrt a?\nAnswer: -1320*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-32)\/5*(-3690)\/12. Suppose 90*r - 84*r = j. Calculate the greatest common factor of r and 41.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 + 50 + 91)*(0*n**2 + 0*n**2 + 2*n**3 + (-2*n + 0*n + 0*n)*(0*n**2 + 6*n**2 - 2*n**2)) to w*n**3 + v*n + l + u*n**2 and give l.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g - 26 = -3*h, 5*g - 162 = -h - 146. Let m be (7 + 225\/(-35))\/(h\/63). Which is the closest to 0.1? (a) -0.4 (b) m (c) 1\/4 (d) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 39 - 22. Suppose -h = -3*l + 7. What is the least common multiple of l and (8\/10)\/(4\/50)?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) be the first derivative of -k**3\/3 + 11*k**2 - 36*k + 11. Let g be d(20). Suppose x = -0*x + 3. Solve -x*z + g = -5 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = 12*i - 2. Let x = -1752 - -1750. Determine p(x).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 23\/8 of a gram?\nAnswer: 2875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 91 divide 664755?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 742 + -826.6. Let i = z - -78. Let t = i + -20.4. Which is the third smallest value? (a) t (b) 1 (c) -1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -699130, -1398380, -2097630, -2796880, -3496130?\n\"Answer: -699250*a + 120","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10240101 is divided by 100393.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -r + 2. Let c(y) = y - 3. Let k(h) = -4*c(h) - 3*o(h). Determine k(6).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -167*d - 162*d + 333*d.\nAnswer: 4*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2345 + 2344. What is the fourth biggest value in -103, s, -0.4, -5, 2\/7?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 15229?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2.57 + -142.57. Let o = 140.00146 + z. What is o rounded to 4 decimal places?\nAnswer: 0.0015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.1051531 nanoseconds to microseconds.\nAnswer: 0.0001051531","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -24*v**2 - 23*v**2 - 15*v**2 + 13*v**2 + v - 2*v.\nAnswer: -49*v**2 - v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = u**3 - 136*u**2 + 145*u - 1243. Give z(135).\nAnswer: 107","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 72 and 3?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = 3*k**3 + 2*k**2. Let v be h(2). Let b = v + 59. Calculate the remainder when b is divided by 19.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.1 * -433.638.\nAnswer: -43.3638","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i**3\/4 - 31*i**2\/2 + 121*i\/4 - 15 = 0. What is i?\nAnswer: 1, 60","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 4, w: 3, n: 6, o: 1, b: 5, x: 1}. Give prob of sequence vw.\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 189526 and 15826?\nAnswer: 386","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1455*r + 5265*r + 599*r + 2402*r + 1680*r.\nAnswer: 8491*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 6504760921 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.8 times 19?\nAnswer: 110.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -156 = 49*t - 53*t. Is t a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -194 + 46 + 46 - 6*f + 43 + 43 + 9*f.\nAnswer: 3*f - 16","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 100 is divided by 35.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*r**5 + 14*r + 0*r**5 + r**5 + (1 + 2*r**2 - 1)*(0*r + 2*r**3 + 0*r).\nAnswer: 2*r**5 + 14*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -239843*v - 137671*v + 22491*v - 632329*v - 791010*v.\nAnswer: -1778362*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 96 and 1720565904?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 530 minutes after 9:53 PM?\nAnswer: 6:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = 2046*u**2 + 10*u + 36. Let n(r) = -7*r + 6. Let y be n(2). Let q be s(y). What is q rounded to the nearest one thousand?\nAnswer: 131000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*s + 3*s - 150. Let u be 3\/(-7) + 2570\/(-168)*-2. Let w = u - s. Is -1 < w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -237313*u**4 - 2*u**2 + 9*u + 12659521 wrt u.\nAnswer: -949252*u**3 - 4*u + 9","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -34? (a) 1\/9 (b) -13.8 (c) 0.02 (d) 4 (e) -3\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 divided by -5?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*g*w*x**2 - 45*g*x**3 + 9*w**2*x**3 + 7*w**2 + 3 wrt x.\nAnswer: -270*g + 54*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Determine v so that -1\/9*v**3 - 1\/9*v + 0 + 2\/9*v**2 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 975 and 282960.\nAnswer: 18392400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 47051 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 3, t: 1}. What is prob of picking 2 s?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-1)*p*p)**(-2\/23)\/(p**16*p\/(p\/(p**(4\/3)\/p)*p)) assuming p is positive.\nAnswer: p**(-1064\/69)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -6? (a) 0.1 (b) 3 (c) 0.3 (d) -0.24\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 114013 + -3?\nAnswer: 114010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 553976309 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 25.768584 months?\nAnswer: 0.2147382","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -33.4 less than -574984852732?\nAnswer: -574984852698.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -2*t**2 - 49*t + 144. Determine y(-27).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 46, 90, 134, 178, 222, 266?\nAnswer: 310","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k - 48 = -2*k. Let a(u) = -20*u**2 + 1. Let v be a(-1). Let j = v + k. What is the remainder when j is divided by 10?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -3*g**3 + g - 3. What is f(2)?\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) be the first derivative of 3*k**4\/4 - 5*k**2\/2 - 47. Let x(p) = p. Let m = -2379 - -2382. Give m*u(d) + 15*x(d).\nAnswer: 9*d**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x - 5*b - 31 = 0, 17 = x + 2*x + 2*b. Suppose -93 + x = 2*j. Let f = j + 134. Is f prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.2704997488 + -0.2705. What is i rounded to 7 dps?\nAnswer: -0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14924 + 36*q - 14924.\nAnswer: 36*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 8*i - 5*i - 3. Put 3, -5, i, 8 in decreasing order.\nAnswer: 8, 3, i, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find a such that -5*a**4\/4 - 515*a**3\/4 - 585*a**2 + 2765*a + 6860 = 0.\nAnswer: -98, -7, -2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = 5*t + 5. Let g(p) = 2*p + 3. Let j(q) = 5*g(q) - 3*y(q). Let i(l) = 2*l**2. Give i(j(o)).\nAnswer: 50*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 10456 to the power of 1\/5, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 97684*w - 97685*w - 3*b = 30, -8 = -4*b for w.\nAnswer: -36","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 283288 to the power of 1\/2, to the nearest integer?\nAnswer: 532","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -37*q - 8*q**3 + 37*q.\nAnswer: -8*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = 118*g - 246*g + 3 + 127*g. Let f = 26 - 37. Let r(p) = 5*p - 16. Let h(q) = -10*q + 32. Let j(m) = 2*h(m) + 5*r(m). What is f*d(a) - 2*j(a)?\nAnswer: a - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = 72*o**2 - 171*o - 31. Let s(u) = -17*u**2 + 43*u + 7. Determine 5*i(d) + 21*s(d).\nAnswer: 3*d**2 + 48*d - 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-12)\/(-16)*(-6)\/(-9). Let s = -6.83 + -0.37. Let z = -7.2 - s. Which is the smallest value? (a) 5 (b) z (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-48)\/(-22)*(870\/30)\/(-58)?\nAnswer: -12\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -4*k. Let m(b) be the first derivative of 0*b**2 - 2 - 2\/3*b**3 + 0*b. What is v(m(i))?\nAnswer: 8*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 140862 is divided by 30?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 19, 39, 49, 43, 15, -41, -131?\n\"Answer: -z**3 + z**2 + 24*z - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = 22*c + 3. Let q = -10 - -16. What are the prime factors of m(q)?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 13 + 5. Let i = -18.00009 + f. Round i to five dps.\nAnswer: -0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (2\/3 - 1)*0. Sort -4, k, 1, 2 in increasing order.\nAnswer: -4, k, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 1 and -22\/3292919 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -9 - 5. Let m = z + 20. Let t(c) = 2*c**2 + m*c**2 + 8*c**2 - 4*c**2. Let g(f) = -2*f. Calculate t(g(j)).\nAnswer: 48*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 252456364.\nAnswer: 2, 47, 367, 3659","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -4 or -18\/845?\nAnswer: -18\/845","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 121436, 121435, 121434, 121433, 121432?\nAnswer: 121431","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3*v**4 + 2*v**5 - 4*v**5 + 230*v**2 + 5*v**5 - 82*v**2 + v**5 wrt v.\nAnswer: 240*v**2 + 72*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 6282912?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 2 + 9)*(3*l - 5*l - 3*l) - 4*l + 2*l + 4*l + (-3*l + 2*l - l)*(-4 + 2 + 1) + 2*l + 2*l - 3*l.\nAnswer: -35*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 520 - 25*l - 108*l - 202 + 17*l - 2*l**3 wrt l.\nAnswer: -6*l**2 - 116","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 10702 + -10693. Let i be 2 + (-13 - 3) + 2. What is the remainder when g is divided by 1\/(1 - i\/(-15))?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 172 - 17850*i - 2*i**4 + 17850*i + 13*i**3 wrt i?\nAnswer: -8*i**3 + 39*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 4, m: 3, r: 2}. What is prob of sequence ru?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, -451, 26, -35, -26, 5 in descending order.\nAnswer: 26, 6, 5, -26, -35, -451","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19*y + 80 = 3*y for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Add 111 and 7297.\nAnswer: 7408","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 6966?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 20 and 30?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven halves of a century in years?\nAnswer: 550","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -1288796*j**2 + 1739883 wrt j?\nAnswer: -2577592*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w and 1 e when two letters picked without replacement from {d: 6, k: 7, e: 1, w: 4}?\nAnswer: 4\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = 3*i + 4*i + 1 + i**3 - 6*i - 2*i**2. Let u be f(2). Is (u\/2)\/(3\/28) a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -n + 6 - 3. Suppose 50 = 8*a - n*a. Let f be 14\/(0 - 4\/a). Is -35 at most f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 44 divided by 4820557?\nAnswer: 44\/4820557","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-4 - -1)*2\/(-6) - 4. Put 2, k, -4 in descending order.\nAnswer: 2, k, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 128 and 12.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 40\/7 and 7\/1573.\nAnswer: 11011","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 197 divide 4970904?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*q + 2*q - 10. Let r(m) = -49*m**2 - q*m + 44*m**2 - 5 + 2*m**3 - 3*m. Is r(5) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 707 minutes before 10:43 AM?\nAnswer: 10:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -71fd - 54?\nAnswer: -7251","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: Put 2, -95, 208, -3, -13, -1, -2 in decreasing order.\nAnswer: 208, 2, -1, -2, -3, -13, -95","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3 + (sqrt(117) - (sqrt(117) + -1 + -2 + sqrt(117))) + ((sqrt(117) + -2 + sqrt(117))*-3 - 4*(-1 + sqrt(117))))*-3)**2 + 3.\nAnswer: -5940*sqrt(13) + 128316","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -40 - -59. Let d = 104 + x. Let o = -130.9 + d. Round o to 0 decimal places.\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 305886546 to the power of 1\/2, to the nearest integer?\nAnswer: 17490","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(52)\/(sqrt(4)*-3) + sqrt(13) - 3*sqrt(39)\/sqrt(3).\nAnswer: -7*sqrt(13)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -7269, -15508, -23747, -31986, -40225, -48464?\nAnswer: -56703","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1060 - 1047. Calculate the greatest common factor of 793 and l.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w = -2*c + 90136, -11*w + 14*w - 90131 = -2*c. What is the hundreds digit of c?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-66 - 339)*(6\/9)\/(-1). Calculate the highest common divisor of i and 1800.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*j - 100 + 85 = 0 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -14*y + 2. Let p be k(-8). Suppose -6*v = -0*v - p. Is v prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w = 3*p + 72, 2*p + 4*w - 2*w = -44. Let f be -7 - p\/15*9. What is the highest common factor of 136 and f?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3987047.\nAnswer: 337, 11831","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -22 + 23. What is the units digit of (b\/(-2) + -1)\/((-6)\/220)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -y**2 - y + 1. Let l = 3 + -5. Let t be d(l). Suppose 0 = 3*x - 4*o + 4, -16 = -10*o + 6*o. Sort t, x, 5.\nAnswer: t, x, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.38 + -0.28. Let f = 0.3 - h. Let z be ((-2)\/18)\/(2 + -3). Which is the second biggest value? (a) f (b) z (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 11934\/189 + (-2)\/14. Let g = -60 + s. Suppose 3*f - 6 = -t - 0, -3*t = -g*f + 6. Solve 0 = -5*i + 3*i - f for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 116 + -72. Calculate the greatest common factor of 4 and d.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -67\/540 and -43\/5220.\nAnswer: 15660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z = -2*d + 143, 0 = -26*z + 21*z + 5*d + 180. Solve -20*u - 97 - z = 0 for u.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 7299 + -6813. What is the nearest to k in -0.4, -2, -0.5?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -279 + 610. Is s prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (1 + -13)*(-9 + 175\/20). Suppose -9*l + 12*l + 48 = 0. Let r = l - -16. Solve r = -4*y + 4*s, -n*y - 3*s = -2*s for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 12487 + -8623. Is 28 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q + 2 = -4*y - 4*q, -4*q = 4*y. Suppose 3*g + g - 14 = -3*v, 2*g + 4*v = y. Suppose 2*o = 4*a - 320, -2*a + g*o + 0*o + 168 = 0. Is a prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 126 - 258 = -t. Suppose 5*p - t - 208 = 0. What is the remainder when p is divided by 18?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1819149 is divided by 8015?\nAnswer: 7759","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 29459 and 5696?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 148068 and 7128.\nAnswer: 324","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 4992\/5 + -55157\/55. Suppose 3*g = p + 1, 4*g = -p - 3 + 2. Suppose -4*v + 0*v - 140 = g. What is the common denominator of x and v?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 23768 - 665419\/28. Let y = 590\/301 - -14\/43. Let w = q - y. What is the closest to -1 in 0, -1\/4, w?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1025146189?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -40 + 90. What is the least common multiple of m and 18?\nAnswer: 450","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.96 + -1. Let y = -1 + 0.5. Suppose -4*z + 9 = -5*l + 10*l, 0 = 3*z + l - 4. Which is the smallest value? (a) y (b) z (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 635?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*p + 8 + 4. Suppose 0 = k - 2*d - 356, -k - d = -p*k + 706. What are the prime factors of k?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -15 + 26. Let l = p - 11.02. Let s = l - -0.52. Put -0.1, s, 3 in ascending order.\nAnswer: -0.1, s, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 42\/5 of a litre?\nAnswer: 8400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n, 1 r, and 1 e when three letters picked without replacement from udrenses?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express g**2 - g**4 - 5135*g + 5135*g + g**2 - 3*g**4 - g**2 + (0 + 0 - g**3)*(0*g - 2*g + g) as p*g**3 + v*g**2 + n*g + f + i*g**4 and give v.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -10*n**2. Let a(y) = -13*y + 30791. Give a(d(q)).\nAnswer: 130*q**2 + 30791","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k - 4*t - 24 = -0, 3*t = k - 5. Let m(d) = -d**2 + 10*d + 4. Let r be m(9). Let b = r + k. What is the remainder when b is divided by 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -62 + 50. Let s = 46 + i. What is the highest common factor of 340 and s?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -462, 97, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*w - 4*w**2 + 5*w + 5*w**2 - 2*w**4 - 6 in the form m*w**3 + j*w + x*w**2 + g + v*w**4 and give v.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put 40, 1, 2, 1019, 3, -53 in decreasing order.\nAnswer: 1019, 40, 3, 2, 1, -53","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = 149*z + 8. Let i(n) = -50*n - 3. Calculate 8*i(r) + 3*w(r).\nAnswer: 47*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1165 is divided by 251.\nAnswer: 161","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 12575182 a multiple of 474?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*j + 2*i + 189, 3*i - 175 = -5*j - 2*i. Suppose -3*y + 336 = -0*q - 2*q, -4*q + 468 = 4*y. Let z = y - j. What is the units digit of z?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 + (5 - 11 - -2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -81\/227 or 1?\nAnswer: -81\/227","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-7)\/(70\/4))\/(2\/(-2))?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1793\/9 + 199. Let c = -1622.4 + 1622. Put -3, c, k in increasing order.\nAnswer: -3, c, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = 4*s - 9. Suppose 0*h + 4*h = 0. Suppose h = 2*q - 5*i + 13, -2*i = -4*q - 0*i + 14. Is b(q) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 h and 2 p when four letters picked without replacement from hbpphhhhhphhhhh.\nAnswer: 11\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1693 to the nearest integer?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2.167 + 4.167. What is the nearest to w in 1, -4, -2\/167, -0.1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 172 minutes before 3:14 PM?\nAnswer: 12:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 9 - 16. Let r be (1 - 8)*(-6)\/a. Let u = 1 - r. What is the units digit of u?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = q**2 + 10*q + 18. Does 2 divide z(-9)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 522261.1 or 1?\nAnswer: 522261.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = 3*j**2 + 32*j + 21. Let q(z) = -2*z**2 - 21*z - 14. Suppose -4*d = 20 - 0. Let u(p) = d*g(p) - 8*q(p). Let i = 0 - 5. What is u(i)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -58371, -58448, -58525, -58602?\nAnswer: -58679","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1762 + 3071 = -9*p. Let z = -246 - p. What is the tens digit of z?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/50 of a day in seconds?\nAnswer: 5184","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p*p**13*p*p**4)\/((p\/(p*(p\/(p\/(p\/((p\/((p*p\/(p\/p**11*p))\/p*p*p))\/p))))\/p))\/(p*p**(2\/17))) assuming p is positive.\nAnswer: p**(546\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 5, 3, -12, 2672?\nAnswer: -12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 613 + -612. What is the smallest common multiple of 0 + 1 + 6 + 1 and f?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -2*o - 1. Let b = -17 - -22. Let i = 1 - b. Determine c(i).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -108 + 156. What are the prime factors of j?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*m - 4*f + 1020, 4*m + 5*f - 387 = 629. Which is smaller: m or 257?\nAnswer: 257","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 376 is divided by (60\/(-45))\/((-8)\/162)?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*p**3 - 579*p**2 + 624*p - 69 = 0. What is p?\nAnswer: 1\/8, 1, 23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = 1611*r + 358. Is m(15) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 393463303 to the nearest integer?\nAnswer: 733","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 12, 15, 16, 15?\n\"Answer: -k**2 + 6*k + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/50 of a millisecond in microseconds?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(1584) - (4 + (0 + sqrt(1584))**2).\nAnswer: -1588 + 12*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1190467 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 15 - 0\/1 - -3. Suppose 9*z - 27 = a. Solve 0 = -d + 3*j + 11, -4*d - d = -z*j - 5 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = z**3 + z. Let a(q) = -86*q - 1121. Let d be a(-13). Let g(c) = 4*c**3 + 3*c. What is d*m(w) + g(w)?\nAnswer: w**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 1879, 7509, 16893, 30031?\n\"Answer: 1877*i**2 - i + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -439 (b) 0.1 (c) -7\/34\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000014741 rounded to seven decimal places?\nAnswer: -0.0000147","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l + 5*h + 328628 = 0, 100*h - 105*h = l - 82132. Let b = l - 58429. Is b prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 30 and 5 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -16 + -18 + 2 + (222 - 217) + 2 + -88.\nAnswer: -113","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*sqrt(3) + 3 + sqrt(3) + -3*sqrt(3)*-1 + sqrt(432)\/(sqrt(9) - ((2*sqrt(99) - sqrt(99)) + sqrt(99))\/sqrt(11)) + 3.\nAnswer: -sqrt(3) + 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = 59*h**2 - 3*h - 5. Suppose -5*c = -0*c + 25. Let u(s) = 30*s**2 - 2*s - 3. Let g(w) = c*u(w) + 3*l(w). What are the prime factors of g(-1)?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*n**4 + 62*n**3 - 222*n**2 + 272*n - 88 = 0. What is n?\nAnswer: 1\/2, 2, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 2*2\/12*6. Let n = -4 - -10. Let y be 15\/n*(-4)\/2. What is the closest to -2\/3 in y, d, 3\/2?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1770 = 83*n - 24*n. Solve h + n = 7*h for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -10, 11, 70, 185, 374?\n\"Answer: 3*n**3 + n**2 - 3*n - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -78958, -76099, -71334, -64663, -56086, -45603, -33214?\nAnswer: -18919","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*u = -8 + 38. Let g(l) = 3*l - u + l + 0*l + 16*l**2. Is g(4) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 2201?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5491522?\nAnswer: 2, 2745761","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hhippphpphhpdphp. Give prob of sequence dh.\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1.2 (b) 1 (c) 0.6 (d) 1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ffffkgngfngu. Give prob of sequence nuk.\nAnswer: 1\/660","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 108 is divided by 25?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:21 PM and 6:57 PM?\nAnswer: 156","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:07 AM and 10:09 AM?\nAnswer: 62","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 748 (base 10) to base 4\nAnswer: 23230","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -r**2 + 4*r + 1. Let z be p(3). Suppose 2*g + 60 = 4*v + 2, 0 = -3*v - z*g + 16. List the prime factors of v.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -72 - -27. Let a be (-10)\/k + 68\/18. Find the third derivative of 2*p**2 + 6*p**a - 7*p**4 + 5*p**2 wrt p.\nAnswer: -24*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 106 and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 202 is divided by 12?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 24652?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -a**2 - 2*a + 102. Let y be u(9). Let c be (22\/55)\/((-2)\/(-5)). Let m(l) = 25*l**3 - 2*l + 2. Let b be m(c). Solve -2*x + b = y*x for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o = -0*o + 6. Suppose -3*k - o*k = -535. Is 6 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f + 4*p + 3 = 0, -2*f = f + 5*p - 26. Does 12 divide f + 8\/(-4) + -3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14041 - 4657500?\nAnswer: -4643459","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is a in 5*a**2 + 275*a + 1250 = 0?\nAnswer: -50, -5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:07 PM and 1:22 AM?\nAnswer: 135","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i and 1 n when two letters picked without replacement from iiyninyneyinrn?\nAnswer: 20\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -0.2022+-1144644\nAnswer: -1144644.2022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1 and -22970.\nAnswer: -22970","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from poqnnnononnooonnzp. What is prob of picking 1 n and 2 p?\nAnswer: 1\/102","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -75\/784 and 113\/48888?\nAnswer: 684432","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -5786 - -6042. Let l = 123 - 302. Let f = l + v. What are the prime factors of f?\nAnswer: 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -356 - 358 = 78*r - 636 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 49116 + 1765?\nAnswer: 4a87b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) be the first derivative of -2*d**5\/5 - 7*d**4 - 146*d**3\/3 - 168*d**2 - 288*d - 174. Factor q(k).\nAnswer: -2*(k + 3)**2*(k + 4)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3123 (base 4) in base 6?\nAnswer: 1003","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29*t - 432 = -45*t. Let o = -2 + -13. Let y = t + o. What are the prime factors of y?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 82 is divided by 12?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -y - 13. Let b be w(0). Let i = 9 + b. Put -3, 2, i in decreasing order.\nAnswer: 2, -3, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 3, v: 12, y: 2}. What is prob of picking 2 p and 2 v?\nAnswer: 99\/1190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*f - 3*f + f + (0 - 6 + 3)*(4*f - 4*f - f) to p*f + n and give n.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 72777\/14 + -5201. Find the common denominator of k and (38\/(-36) + 0)\/(231\/(-495)).\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -2*h**3 - h**2 + 11*h + 2. Let w(d) = 42*d - 1. Calculate the remainder when w(1) is divided by k(-3).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 6.2955343 + -61.\nAnswer: -54.7044657","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -245*i + 1717. Let q be x(7). Let z(k) = -2*k + 0*k**2 + 3 - 5 - k**2 + 5*k. Give z(q).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9629*q - 9634*q - 86 = 2*u, q + 153*u = -q - 6579 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) be the first derivative of 5*b**4\/4 + b**2\/2 - b - 1. Let c be a(1). Calculate the greatest common divisor of 25 and c.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4 - 120\/(-18)) + -3.\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + sqrt(1573) + -3 - (-3 + sqrt(1573)*-2).\nAnswer: 1 + 33*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -2852, -5990, -9128, -12266, -15404, -18542?\n\"Answer: -3138*q + 286","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -t - 4*p = 13, 4*t - 1 - 3 = -2*p for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 1\/4 of a year?\nAnswer: 3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*w + 6 = -13*w. Suppose 1 = r + w. Let b be 3\/r + (7 - 3) - 4. Let d(m) = -m**2 - 3*m - 2. Determine d(b).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -d**3\/6 + 19*d**2\/3 - 371*d\/6 + 299\/3 = 0. What is d?\nAnswer: 2, 13, 23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 less than or equal to 1899.79?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 26020121.\nAnswer: 59, 191, 2309","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 10 - 7. Let r be (4\/5)\/((-12)\/(-30)) - -138. Let i = r + -136. Solve d - i = q for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2727850937.\nAnswer: 7, 37, 10532243","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.006233 and 269.\nAnswer: 1.676677","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = 3*y**2 + 5. Let b be g(0). Let t(f) = -f - 6*f - 2*f + b*f. Let n(d) = 28*d. Give t(n(v)).\nAnswer: -112*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c = 5*c - 8. Suppose -3*j - 3*z - 1 + 7 = 0, 2*j + 5*z = 1. Solve 4 = -4*a, -r - c*a = -0*r - j for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13778 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: What is the biggest value in -0.5264, -5, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*c + 44866 = -6*c - 2*r, 3*c - 33652 = 2*r. Suppose -4284 + c = 21*n. What is the greatest common factor of 30 and n?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*l**5 + 999*l**4 + 477*l**2 wrt l?\nAnswer: -120*l**2 + 23976*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -106460 + 106460 - 2*q**3.\nAnswer: -2*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 1da + 5?\nAnswer: 1df","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 4881 a factor of 4399927511?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 2301122 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -122*d - 803. Give y(-15).\nAnswer: 1027","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1287411286.\nAnswer: 2, 7, 1511, 60859","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 8\/(-14) - (585\/(-260))\/((-42)\/7421296). What is s rounded to the nearest one hundred thousand?\nAnswer: -400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 2 and 0.001505709868.\nAnswer: 2.001505709868","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 0 + -25 + 3*(-6)\/9. Let a be 2*(q\/(-36) + (-2)\/(-8)). Solve -y + a = -3*y for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3130 (base 4) to base 8\nAnswer: 334","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = v**3 - 7*v**2 - 2*v + 2. Let d be i(7). Calculate the remainder when 11 is divided by (d + -2)*(-3)\/6.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -1134*k + 2213 wrt k?\nAnswer: -1134","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 34613 is divided by 34611?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -2316175.1 to the nearest 100000.\nAnswer: -2300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = j**3 - 4*j**2 - 12*j - 4. Let d be o(6). Let q be (1 + -7)*((-258)\/36 + 4). Which is bigger: q or d?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-8)\/(64\/(-2124)))\/((-27)\/(-252)) a multiple of 42?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -4.46 - -2.46. What is the second smallest value in 4, j, -0.11, 0.5?\nAnswer: -0.11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -2*t. Let w(a) = 55*a + 2073. Determine m(w(r)).\nAnswer: -110*r - 4146","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -83, -82, -77, -68, -55?\n\"Answer: 2*t**2 - 5*t - 80","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) be the first derivative of -215*d**2 - 471*d - 515. What is the derivative of l(k) wrt k?\nAnswer: -430","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -21736, -21826, -21916, -22006?\nAnswer: -22096","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 25 divided by 3100580\nAnswer: 5\/620116","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide 9679 by 2123.\nAnswer: 9679\/2123","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nklnjnpnjklnjhnnkj. What is prob of sequence hjl?\nAnswer: 1\/612","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 4, u: 16}. What is prob of sequence bbb?\nAnswer: 1\/285","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33*v - 1077 = -6951. Is -179 > v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2\/1158942649 or -1?\nAnswer: 2\/1158942649","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d + 4*d + 114 = 3*m, -4*d = -m + 26. Let c = m - 7. Is 10 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) be the first derivative of 8*g**6\/3 - 31*g**3 + 65. What is the third derivative of b(q) wrt q?\nAnswer: 960*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*x + 5*p - 6, -5*x - p = -0*p + 22. Let w = x - -8. Calculate the greatest common factor of 2 and w.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 19392, 77645, 174734, 310659, 485420, 699017, 951450?\nAnswer: 1242719","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + 0 + -2*sqrt(17) + -3*1*sqrt(17).\nAnswer: -5*sqrt(17) - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 5990453?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 30436 to the nearest integer?\nAnswer: 174","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = 204*d**3 - 3*d**2 + 5*d - 7. Let k be m(2). Suppose -k*r + 1621*r = -220. Calculate the highest common divisor of 22 and r.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = 3*t. Let q(j) = 3*j. Let a(n) = 4*q(n) - 3*z(n). Let r(x) = -2 + 2 + 0 + 3*x**2. Let w(l) = -l**2. Let o(g) = 6*r(g) + 17*w(g). Give a(o(f)).\nAnswer: 3*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 45 - 45.05. Let r = -4 - -4. Which is the closest to r? (a) -5 (b) o (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 3 - 2)*(7 - 2 - 3)*(150*s**3 + 11*s**2 - 2184387 + 2184387).\nAnswer: -600*s**3 - 44*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:27 PM and 9:55 AM?\nAnswer: 688","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 5 + 10. Let f = 23 - d. What is the units digit of f?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:15 AM and 2:46 AM?\nAnswer: 91","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Add 6 and -1.857.\nAnswer: 4.143","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 51 divide 12717?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -a + 4*q = 2*q - 3, 2*a = 3*q + 6 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (3 + (-5)\/(-10))*(-12)\/(-7). Let g(p) = 6*p**2 - 33*p + 10. Let i be g(l). Let n = i - 29. Which is smaller: n or 3?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -57 - -189. Suppose 5*q = i - x, 0 = 2*i + 2*i + q - 507. Is i prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 - ((1 - 3) + 4) - 1?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13*x**2 + 13*x**2 - 22*x**2.\nAnswer: 4*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in eight thirds of a year?\nAnswer: 32","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 414\/6*((-10)\/(-6) - 1). Let a(h) = -88*h**2 + q*h**2 + 43*h**2. Let c(z) = -14*z - 2. Determine a(c(b)).\nAnswer: 196*b**2 + 56*b + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1411 - 804. Is d a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-1 - (-3)\/3)*1. Let l be 1 + 3 - (k + 0). Suppose -5*p - 7 - 9 = -2*g, 5*p = -2*g - l. Solve g*h - 3*i + 18 = 2*i, -h + 8 = 3*i for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2\/19, -2.514, -77?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 8\/2 + 18\/(-12). Let u = d - 9\/4. Which is the closest to 0.1? (a) u (b) -1\/5 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 28 and 16?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1467 is divided by (125\/(-10))\/(9 - ((-3321)\/36)\/(-9))?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 424049 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 186 - 167. Let w be 14\/(-4)*(17 - h). Solve -3*p + j + 3 = w, -j - 11 = 2*p for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g - 43 = -5*m, 2*g + 215 = -3*g + 4*m. Let z(y) = 4*y**3 + 75*y**2 - 21*y - 78. Let k be z(-19). Is k at most g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -g - 2. Let d be o(-6). Suppose -4 = -d*b, 2*q - 3*b = 2*b - 154005. What is q rounded to the nearest ten thousand?\nAnswer: -80000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 9652792, 3, -1 in descending order.\nAnswer: 9652792, 3, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 16\/(-36)*6\/(-8)\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 3 - 1)*(2*y**5 - 3*y**4 + 3*y**4 - 3*y**2 + y**5 + 3*y**2 + (2*y**4 - 3 + 3)*(-2*y + 1 - 1) - 2*y**5 + 3*y**5 - 3*y**5) + 2*y**5 - 2*y**3 + 2*y**3.\nAnswer: 5*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2829 and 533?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = v**2 - 62 + 25 + 21*v**3 + 18 + v + 20. Give b(-1).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 358 and -130.41.\nAnswer: -46686.78","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 515.3568 millennia in centuries?\nAnswer: 5153.568","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/5 in 0.084, 0.1, 0.26, -158, 1?\nAnswer: 0.084","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -11*l + 12. Suppose -9*t + 13*t = -y + 6, 4*t - 2*y = 0. Determine o(t).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 85903 at least 85901?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -245 in -4, 0.4, -52.3, 5\/7?\nAnswer: -52.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 144534816 divided by 2544\nAnswer: 56814","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 25\/(-6 + 3 - -2). Let x = y + 17. What are the prime factors of (-3 + (-36)\/x)*10?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 68765?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(4*(sqrt(117) + 3) + 3 + -3 + -5*sqrt(117)*2))**2*2.\nAnswer: -3456*sqrt(13) + 34848","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -424*p**3 - 412 wrt p?\nAnswer: -1272*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 111b6c (base 13) to base 11.\nAnswer: 256593","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -v - 3. Let t be g(-13). Suppose -2*o + t = -5*z, 2*o - z + 0 = 10. Solve -2*x - 3*k - 15 = -o*x, 2*x + 2*k = -10 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 21 + -3\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1 + -1. Let x = 60 - 61. What is the closest to -1 in x, m, -0.5?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-165 + 3*j + 81 - 11 - j**2)*(2 + 1 - 2).\nAnswer: -j**2 + 3*j - 95","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -27*r. Let b(v) = -8537 + v + 8537. What is 2*b(f) + 2*y(f)?\nAnswer: -52*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/6, 6\/11, -12.\nAnswer: -12, -1\/6, 6\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 68\/14 + (-4)\/(-28). Suppose t*i - 5*z + 10949095 = 0, -8759276 = 3*i + i - 5*z. Let b = -6889819 - i. What is b rounded to the nearest 1000000?\nAnswer: -5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1442586921 to the nearest integer?\nAnswer: 1130","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*u**5\/2 - 141*u**4\/2 - 1911*u**3\/2 - 6171*u**2\/2 - 3579*u - 1380 = 0.\nAnswer: -23, -20, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 5486756 to the nearest integer?\nAnswer: 176","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 522, 531, 546, 567, 594, 627?\nAnswer: 666","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q**(-4)\/q*q**(1\/5)*q*(q\/(q*q**0\/q))\/(q\/(q**(4\/7)*q*q)) assuming q is positive.\nAnswer: q**(-43\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -13.19 minus -813923?\nAnswer: 813909.81","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) be the third derivative of -d**5\/30 - 2*d**4\/3 + 11*d**3\/6 + 15*d**2. Calculate the remainder when 60 is divided by p(-8).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -11, -3, 1, 15 in decreasing order.\nAnswer: 15, 4, 1, -3, -11","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: Let v = 5 + -1. Suppose v*d - 5*d = -12. Let u be (6 - 5) + -1 - (-9 + 4). Solve u*b - 8 - d = 0 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) be the first derivative of m**4\/4 + 2*m**3\/3 + m**2\/2 - m + 11. Let t be i(-2). Which is greater: t or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*z = 23*z - 18. Put -3, -9, 4, z in decreasing order.\nAnswer: z, 4, -3, -9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = 4*t**2 - t. Let y(l) = 2*l**2 - l. Let f(u) = 6*s(u) - 10*y(u). Find the second derivative of f(a) wrt a.\nAnswer: 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.2 and 16060278.\nAnswer: -3212055.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 132 + -180. Let u = -28 - w. What is the remainder when 74 is divided by u?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 143929 is divided by 104.\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/((-42)\/9))\/(456\/266)?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 86507 to the power of 1\/3, to the nearest integer?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 5\/6 of a century?\nAnswer: 1000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 3 - (2 - -1) - (0 - 38). Let p = r + 54. What is the tens digit of p?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = s + 9. Let c be a(0). Suppose c*d = 2*d + 49. Suppose 40*w = 37*w + 42. Calculate the highest common divisor of w and d.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:33 PM and 8:23 PM?\nAnswer: 470","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 0.4 times 279802.96\nAnswer: 111921.184","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1 + 515\/(5 - 0). Let f(m) = -95 + 199 - 18*m - u. Let x(c) = -c**2. Give x(f(z)).\nAnswer: -324*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find x, given that 2*x**3 - 42660554*x**2 + 227490379778640*x - 227490337118088 = 0.\nAnswer: 1, 10665138","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 + 6 + 11 + -7?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 131\/130 and -139\/30.\nAnswer: 390","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -296*a + 174. Let b be g(-12). Suppose -2*f = 4*o - b, 0 = -o - 10*f + 12*f + 939. What is the units digit of o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 676257699?\nAnswer: 3, 13, 29, 597929","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 not equal to 8\/8233?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = 4*q - 7 - 2*q - 3*q. Let w be h(-9). Let j(t) = w*t**2 + 3*t**2 - 7*t**2. Let r(m) = 3*m**2. Calculate r(j(k)).\nAnswer: 12*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -4572 divided by 1449?\nAnswer: -508\/161","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from bqbtdqdbbqq. Give prob of sequence bqbq.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -33838.1 * 0.2\nAnswer: -6767.62","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1341, 33, 53, 2.\nAnswer: 2, 33, 53, 1341","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (38*n**2 - 38*n**2 + 14*n**3)*(-17 + 10 + 0).\nAnswer: -98*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.56 - 0.49. Let v = z - 0.37. Do 3\/7 and v have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = 16*b + 2. Let m be w(6). Suppose 4*z - 30 - m = 0. List the prime factors of z.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:49 AM and 9:51 AM?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 474, 476, 478, 480?\n\"Answer: 2*a + 472","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-310)\/(-50) - 1\/5. Let f(k) = k**2 + 4*k - 4. What is the units digit of f(m)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.7 in -3, -1, -22.4, 5\/3, -0.1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*x - 3*x + 7*x + (27*x - 17*x - 32*x)*(1 - 2 + 3) + (-1 - 2*x + 1)*(1 - 5 + 1).\nAnswer: -36*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*y + 2 + 4*y + 2)*(0 + 3 - 2)*(-3*y**2 - y**2 - 8*y**2).\nAnswer: -12*y**3 - 48*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -4*s - 17. Let f = 15 - 22. Calculate the remainder when 40 is divided by c(f).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*z**2 + 168*z + 477.\nAnswer: 3*(z + 3)*(z + 53)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -10210 (base 3) in base 14?\nAnswer: -74","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -6a462 (base 15) to base 2.\nAnswer: -1010010101000111100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 60 and 60.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 26332?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 3439041?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/((-2)\/((-2)\/(-5))*-1)?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 465272?\nAnswer: 2, 19, 3061","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-1)\/((-32)\/10 - -3). Let s be -2*(1 - 7\/2). Suppose 5*n = -0*v + v, n - s*v = 24. Put c, 1, n in increasing order.\nAnswer: n, 1, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a centimeter in micrometers?\nAnswer: 2500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = 5259934*q. Let z(r) = 2*r**2. Calculate z(c(j)).\nAnswer: 55333811368712*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (2 - 3)\/((-1)\/205). Suppose 5*a - n = 5*y, -37 = -a + 2*y - 0*y. Is 13 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 95274 and 18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 87534*a**2 + 326*a - 75484999 wrt a?\nAnswer: 175068*a + 326","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand 23 - 17 + 220*n - 8 + (1 - 1 + 2*n)*(3 + 0 - 5).\nAnswer: 216*n - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v + y = -154, -y + 59 = 58. Solve 9 = -2*h - 5*k + v, 3*h - 2*k = -5 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -31493000 rounded to the nearest one million?\nAnswer: -31000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 51 - 1. Let d = t + -30. What are the prime factors of d?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 51\/5 of a litre in millilitres?\nAnswer: 10200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*k - 1 + 1 + (-4 + 6 + 0)*(-2*k + 3*k - 3*k) + (2 - 1 - 3)*(-4*k + 1 - 1) + 4*k + k - 3*k + 33 - 33 + 5*k)*(-4 - 1 - 9).\nAnswer: -126*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 1, g: 11, z: 1, p: 2}. Give prob of picking 1 k, 1 p, and 2 g.\nAnswer: 22\/273","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*((2*sqrt(68)*-5 - sqrt(68))\/(sqrt(196)*2) - ((-2 + sqrt(425) + -4)*-2)**2)*-6.\nAnswer: -20094*sqrt(17)\/7 + 22128","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 52.73072 microseconds in nanoseconds?\nAnswer: 52730.72","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*d**3 - 4524*d**2 + 27300*d + 72672 = 0 for d.\nAnswer: -1514, -2, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-18)\/135 + 812\/15. What is the greatest common divisor of 9 and x?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 56, 117, 182, 251, 324, 401?\n\"Answer: 2*t**2 + 55*t - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 89813.\nAnswer: 19, 29, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*b = -a - 7*b - 16, -5*a = 5*b - 45 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6408?\nAnswer: 2, 3, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -5 + (336\/60)\/((-2)\/(-5)). Let 8 + 32*w**2 + y + 4*w**4 + 24*w - 23 - 24*w**3 - 30 = 0. Calculate w.\nAnswer: -1, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 11420 - 2100?\nAnswer: 5320","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -u**3 + 3*u - 2. Let w be s(-4). Let j = -28 + w. Find the first derivative of 2 + x**4 + 22*x**2 - j*x**2 wrt x.\nAnswer: 4*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 57460\/17238*(-498)\/20.\nAnswer: -83","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 574696?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -319952, -639930, -959920, -1279928, -1599960, -1920022, -2240120?\nAnswer: -2560260","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -7 + 9. Suppose -y*h - 6 = 5*v, -2*h - 3*h + 8 = v. Suppose -2*z = h*n - 2, -2*n - 9 = z - 11. Which is the nearest to -1\/2? (a) n (b) 0 (c) 1\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 2, d: 4, r: 2, w: 1, y: 1}. What is prob of picking 1 l and 1 w?\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 26 (base 11) to base 2\nAnswer: 11100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 210433 - -131?\nAnswer: 211114","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 5 - 7. Let n be (-1)\/a + (-7)\/2. Let r be -2 - (2 + 4)\/n. Solve 4*k + r*k = 0 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -660 greater than -658?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29*l = -32*l + 18. Suppose -l*r + 78 - 18 = 0. Suppose -3*h - r = -5*h. Solve -h*u + 20 = -0 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 166\/23013, 1, 6, -2\/9 in ascending order.\nAnswer: -2\/9, 166\/23013, 1, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 446340 + 4?\nAnswer: 446344","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*v + 105 = 95 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yg when two letters picked without replacement from {c: 1, d: 1, g: 3, i: 4, w: 1, y: 5}?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (2\/(-3))\/(-2)*6. Suppose -m = s*m - 6. Solve 0*v - m*v = -6 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*y - 35 = -7*y. Let m = 62 - y. What are the prime factors of (-121)\/(-6)*2 + (-9)\/m?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = o**2 - 2*o - 13. Suppose -22 = 3*i - 46. Suppose 0 = 14*z - i*z - 102. What is the remainder when t(10) is divided by z?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(2\/7))**18*(q**(-3)\/q)\/((q*q**(-11))\/q) assuming q is positive.\nAnswer: q**(85\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 14133119?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -12 in -29851\/2, -0.4, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 13395440 a multiple of 80?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1458?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -s + 12. Let o be q(7). Solve 0*h = -o*h - 25 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6979 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -102 = 15*s + 4*v, -3*s = -1540*v + 1526*v - 24 for s.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o - 445 = -22. Let v = o - 82. What is the highest common factor of 118 and v?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.3 + 0.18. Let t = -0.186 - i. Round t to two decimal places.\nAnswer: -0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 l when three letters picked without replacement from rlrrlrrrrrlrrr.\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 0.296765 decades?\nAnswer: 2.96765","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 830735, 1661462, 2492161, 3322832, 4153475, 4984090?\n\"Answer: -14*s**2 + 830769*s - 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -108 (base 10) in base 12?\nAnswer: -90","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 46 + -50.2. Let z = -18 - -14. Let s = z - j. Which is smaller: 0.1 or s?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:17 AM and 1:57 PM?\nAnswer: 700","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -4*i - 17. Let f be j(-3). Let o(m) be the third derivative of m**6\/120 + m**5\/12 + m**4\/24 + 2*m**3\/3 - m**2. What is o(f)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s = s + 332. Is s a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3993350364?\nAnswer: 2, 3, 110926399","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 + (-15 + 8 - 3) - 36.\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -h**2 - 9*h + 7. What is the tens digit of x(-5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -1966, -2029, -2086, -2137, -2182, -2221?\n\"Answer: 3*z**2 - 72*z - 1897","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -6778911 - -2393987. Let p = f - -1904924. Round p to the nearest 1000000.\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -92701a20 - 2?\nAnswer: -92701a22","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 6, v: 1, n: 1, t: 1}. What is prob of picking 1 t, 1 n, and 1 v?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2092?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b*((b*b\/b**(-15\/7))\/b)\/b)\/b*b**(-2\/119))**31 assuming b is positive.\nAnswer: b**(7843\/119)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 5 - 2. Let o(m) = -23*m**2 + 75*m - 37. Let h(l) = 5*l**2 - 19*l + 9. Let t(c) = 9*h(c) + 2*o(c). What is the smallest common multiple of t(-21) and s?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = 3*z**2 - z + 3. Let c(l) be the second derivative of l**2\/2 - 16*l - 8. Determine -c(r) + n(r).\nAnswer: 3*r**2 - r + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 75 - 43. Let k = 33.9 - s. Let q = -1.8999901 + k. What is q rounded to six dps?\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = 2*c**2 - 5*c - 8. What is the smallest common multiple of l(-2) and 1?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/3? (a) -0.2 (b) 1\/28 (c) -11 (d) 1\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 29760, 59490, 89220, 118950, 148680?\n\"Answer: 29730*g + 30","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (8\/26*3471\/(-58206))\/1?\nAnswer: -2\/109","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -10103 + -314?\nAnswer: -10422","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide 45549 by 19.\nAnswer: 45549\/19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from riiiritiiirri. What is prob of picking 1 i and 1 t?\nAnswer: 4\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -v - 4. Let k(g) = -g**3 - 11*g**2 + 2*g + 15. Let u be k(-11). Let x be q(u). Let r(j) = -3*j**3 - 4*j**2 - 3*j - 4. Let d be r(-2). Sort d, x, -3.\nAnswer: -3, x, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 22.08 + 183.02. Let l = x + -205. Which is the closest to l? (a) 2\/7 (b) 3\/22 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -4827 + 4830. What is the third biggest value in p, -47\/15, 2, 5\/3, -3?\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2*((-1)\/4)\/((-14)\/112*13).\nAnswer: 4\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = 252*f + 7749. Calculate y(-31).\nAnswer: -63","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -187355160 rounded to the nearest 100000?\nAnswer: -187400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Add -77.191 and 940.1.\nAnswer: 862.909","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/3? (a) -833 (b) -2 (c) 221\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(85) - sqrt(85)*-4)*2 + sqrt(85) + 1*sqrt(85)*5 + sqrt(85))\/(4*2*sqrt(500) + (1*sqrt(500)*-5 - sqrt(500)) + sqrt(500) + sqrt(500)).\nAnswer: 17*sqrt(17)\/40","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*z = 9*z + 840. Let p = z + 51. What are the prime factors of p?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3197.\nAnswer: 23, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 11\/12324 and 29\/6500.\nAnswer: 1540500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 1b8 (base 12) to base 10\nAnswer: 284","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 69 + -33. Let p = 159 + o. What is the hundreds digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 130951 and 31.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10 + (-25)\/(6075\/2412).\nAnswer: 2\/27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-4)\/4 + 24)*3. Suppose 4*b = -d + 305. What is the remainder when b is divided by 12?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) be the third derivative of -z**5\/12 - 6*z**2. Let u(b) = -2*b. Calculate h(u(w)).\nAnswer: -20*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 54908 + -4?\nAnswer: 54904","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (sqrt(363) - ((sqrt(363)*-1 + -2)**2 - sqrt(363)))*-6.\nAnswer: 132*sqrt(3) + 2199","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -10110010111010 (base 2) to base 15\nAnswer: -35d5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (0*2\/(-10))\/(-2). Suppose g*p + 14 = p. Solve -4 + p = 2*u for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_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: What is -47 (base 15) in base 11?\nAnswer: -61","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 473 minutes after 6:30 PM?\nAnswer: 2:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = 3*c**2 + 35*c + 75. Give a(-9).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 48 and 1490128?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 9517013345?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:14 PM and 2:51 AM?\nAnswer: 277","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = i + 6. Let t(z) = z**2 - 4*z - 6. Let n be t(6). Let f be d(n). Solve -v = 3*b - 8, 7*b - f = 2*b - 3*v for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = 5*m + 4*p, 0 = -2*m - 3*p + 1 - 2. Find the common denominator of ((-2)\/42)\/((-6)\/371) and (((-159)\/2)\/(-3))\/m.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -84*u - 84. Is o(-4) a multiple of 42?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (22 - 24 - -3) + 56631?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 598406 to the power of 1\/6, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve a - 3*a = 2, 0 = -5*c - 4*a - 14 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-26 + 23048\/871)*(-26)\/(-10).\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (5 - (-4)\/(-2)) + -2. Let h = -1196 + 1200. Put -5, v, 6, h in decreasing order.\nAnswer: 6, h, v, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1944450416?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 180891781?\nAnswer: 7, 17, 217157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = 2*b. Let h = -630 + 632. Let c(i) = -117*i**h + 0*i + 2*i + 58*i**2 + 60*i**2. Determine c(z(v)).\nAnswer: 4*v**2 + 4*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v = -0 - 15. Suppose 5*f = v*y - 37, -3*y + 0*f - 3*f + 21 = 0. List the prime factors of y.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 291 + 53 = 172*f. Factor 20\/7*j + 0 + 4\/7*j**f.\nAnswer: 4*j*(j + 5)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -17*c + 60. Let j(d) = 8*d - 29. Determine 3*g(r) + 5*j(r).\nAnswer: -11*r + 35","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = 3*x + s, 5*x = -3*s - 0*s - 12. Suppose -3*j + 28 = 3*u - 11, u - j - 17 = x. Suppose g + 2*g = 6. Solve 0 = 3*t + g*t + u for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 140 * -28611.\nAnswer: -4005540","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p*(((p**(2\/45)*p)\/p)\/p)\/p*p*p**13)\/(p*p\/(p*p**17)*p**(-1\/7)*p) assuming p is positive.\nAnswer: p**(8879\/315)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*k**4 - 25*k**2 - 22*k**2 - 21*k**2 + 66*k**2 + 4 as r*k + u*k**2 + s + i*k**3 + h*k**4 and give r.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.05 * -8.7.\nAnswer: -0.435","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1568 and 56056.\nAnswer: 224224","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -45*g = 33*g + 41*g + 833 for g.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -11 + 16. Let m = -185 + 188. Suppose -13 = -2*y + 5*a, y = 2*y - m*a - 5. Solve 0 = b*t - 4*d - 2 + 28, 5*t + y = d for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((i\/(i**18*i))\/i)\/i)\/i**(-2\/5))\/((i*i\/(i**(-1)*i))\/(i\/(((i**(-20)*i)\/i)\/i))))**(1\/11) assuming i is positive.\nAnswer: i**(2\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q - 2179 + 91 = 0. Let i = q + -1163. Round i to the nearest ten.\nAnswer: -470","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 156797 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -102 - -119. What is the highest common factor of x and 85?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 16\/7*u**2 + 26\/7*u - 2*u**3 - 4\/7 = 0. Calculate u.\nAnswer: -1, 1\/7, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 697*j + 691*j = 1329*j + 649 for j.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-82)\/(-1722)*4\/(-4)?\nAnswer: -1\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5296.\nAnswer: 2, 331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 25\/18 - 18\/12 and 7\/9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*w + 10*w - 21. What is the third biggest value in -0.4, w, -0.08?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -b + 1. Let p(t) = t**2 - 2*t + 0*t - 3 - 2*t**2. Let w(x) = -2*a(x) - p(x). Let z = -4 - 1. What is w(z)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -3*(0 - 14\/3). Suppose -2*n = 5*d + t, n - 3*d + 7 = -d. Let z(x) = x**2 + 7*x + 3. Let r be z(n). Solve 8*u + r*w + 5 = 4*u, 4*u - 13 = 3*w for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2676, -2634, -2590, -2544, -2496, -2446?\nAnswer: -2394","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = w + 6. What is the lowest common multiple of w and (-9)\/(-6)*16*(-18)\/(-24)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -w**2 + w + 346. Give g(19).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -135244 + -4?\nAnswer: -135251","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 38340 and 27803600?\nAnswer: 1420","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = 3*a. Let h(k) = 52*k - 24. Calculate o(h(m)).\nAnswer: 156*m - 72","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -z. Let c be (-12)\/(-28) + (-100)\/(-28). Suppose -9 - c = -2*h + 5*x, 4*h - 3*x - 5 = 0. Let i(t) = t + 4. Determine h*i(a) - 2*v(a).\nAnswer: a - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*o - 3*s, 88*s = -4354*o + 4350*o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -3 - -4. Let x be (2\/(-4))\/(b\/(-60)). What is the highest common divisor of 20 and x?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 677589?\nAnswer: 3, 11, 20533","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -214 - -320. Let n = 1205 + -834. Calculate the highest common divisor of k and n.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -22 + 24. Let u be (-1 - 61) + -4 + g. Let n = -14 - u. List the prime factors of n.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -149.84 - -159.84. Suppose 0 = -4*o, -3*v - 4 + 10 = 4*o. Suppose 0 = 5*c + v*l - 4*l + 3, 3 = c - 4*l. Is s at most as big as c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) be the second derivative of -41*l**3\/6 - 80*l**2 - 282*l. Is o(-21) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -103*g - 94. Let n(d) = -52*d - 60. Calculate -5*n(u) + 3*s(u).\nAnswer: -49*u + 18","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1820592042381 - -4.\nAnswer: -1820592042377","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-1)*d)**38\/(((d\/d**(4\/3))\/d*d)\/(d\/d**(-2\/7)*d)) assuming d is positive.\nAnswer: d**(55\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -0.03 or -8705?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 6254 to the nearest integer?\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 80 bigger than 85?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = 2*v**2 + 441*v + 20048. What is t(-157)?\nAnswer: 109","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 h when two letters picked without replacement from {e: 17, h: 3}.\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 4685 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put 34549, 4, -10 in descending order.\nAnswer: 34549, 4, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = 58*w**2 + 1234*w - 10. What is t(-21)?\nAnswer: -346","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -8 - -4.5. Let r = -4 - g. Which is the smallest value? (a) 0 (b) 1 (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -25 - 2*t + 25. Let n(w) = 7*w**2 - w. Determine n(o(s)).\nAnswer: 28*s**2 + 2*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*r - 2*r + 3*r)*(10*r - 683*r - 190*r + 4*r + 0*r - 5*r + 3*r + r - 3*r + (-4*r + 3*r + 3*r)*(-4 + 4 + 1) - r + 0*r + 2*r + 4 - 4 + 2*r).\nAnswer: 858*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express -2445 + 2445 + 2*q - 2*q**4 - q**2 as d + n*q**3 + a*q + c*q**2 + t*q**4 and give c.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2 - -4. Let w = 60.63 + -60.83. Let y = -3 - -2.7. Which is the nearest to f? (a) 2 (b) y (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -34.9 times 36870\nAnswer: -1286763","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = 20*g - 272. Let u(y) = y - 12. Let d(k) = -6*j(k) + 136*u(k). Let s(q) be the second derivative of q**4\/6 + q. Determine s(d(b)).\nAnswer: 512*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v - 4*g = -54 - 6, 4*v - 2*g = 80. Let d = v + -18. Is d even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) be the third derivative of 3*r**5\/20 - r**4\/8 + r**3\/3 + 2*r**2 + 25. Suppose -2*n + 0*n - 2 = 2*c, -5*n = -5*c + 15. What is y(c)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -p**2 - p + 191. Does 11 divide r(0)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*c**2 + 264008*c - 1848252.\nAnswer: 4*(c - 7)*(c + 66009)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3007092?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) -1\/6 (b) 2 (c) -5 (d) 37\/2 (e) 680\/9 (f) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 4*i**2 - 182*i**2 - 6843600*i**6 - 6 + 6849684*i**6 + 2*i wrt i.\nAnswer: 730080*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1811714 rounded to three dps?\nAnswer: 0.181","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 18432631?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3 in 5, -67\/151, 0.3?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 0 (b) -0.022 (c) -5 (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4252228392?\nAnswer: 2, 3, 73, 383, 6337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 2 + 3)*(2 - 5 + 5)*(-2*j**2 - 133746 + 214*j + 133746).\nAnswer: -4*j**2 + 428*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -731, -3580, -8335, -15002, -23587, -34096, -46535?\nAnswer: -60910","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1539))**2*-4*5.\nAnswer: -30780","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13083*o + 13123*o - 26207*o.\nAnswer: -o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (48\/15)\/((-24)\/120)?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q, 1 r, and 1 w when three letters picked without replacement from {q: 8, w: 1, r: 11}.\nAnswer: 22\/285","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000495437 to six decimal places.\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6065 is divided by 264.\nAnswer: 257","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -9*u + 17. Let f = -127\/5 + 401\/15. Let n(i) be the third derivative of -4*i**2 + 1\/6*i**4 + 0 - f*i**3 + 0*i. Calculate -13*n(h) - 6*r(h).\nAnswer: 2*h + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -m**2 - 4*m - 24. Determine l(-6).\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = 2*v. Let n(l) = -4*l - 10. Suppose 11 = -12*x - 25. Let m be n(x). Let o(b) = -5*b - 3. Let h(g) = -g - 1. Let i(a) = m*h(a) - o(a). What is i(z(w))?\nAnswer: 6*w + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:59 AM and 7:07 PM?\nAnswer: 428","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2037*g**3 + 52 - 40 - 2066*g**3.\nAnswer: -29*g**3 + 12","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 68384 is divided by 235?\nAnswer: 234","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 376 minutes before 12:34 AM?\nAnswer: 6:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor -d**2 - 1057*d - 5260.\nAnswer: -(d + 5)*(d + 1052)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k*k*k*k**(-3)*k)\/(k**3*k)*k\/(k\/k**0)*k**(-1) assuming k is positive.\nAnswer: k**(-4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (12 + -14)\/(53\/(-26) + 2).\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -220021112 + -12221200?\nAnswer: -1010020012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put -34, -5\/6, -3\/4 in ascending order.\nAnswer: -34, -5\/6, -3\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 7277 to the power of 1\/3, to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h = -t - 10, 2*h - 12 = -2*t + 4*h. Let d(k) = k**3 - 32*k**2 - 143*k - 31. Let o be d(36). Suppose t*v - 305 = o*v. What is the units digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*a - 1\/2*a**3 + 2*a**2 + 0.\nAnswer: -a*(a - 2)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 - 2 - 2*m)*(-1 + 1 - 2*m) + (-3 - 1 + 0)*(2 - 2 - 2*m**2) + 3*m**2 - 6 + 6 as d + i*m + s*m**2 and give s.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -i**3 - i + 2. Let r be (3 - 2)\/((-4)\/(-4)). Let d be g(r). Which is the second biggest value? (a) 0.1 (b) 1\/5 (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1 times -29531?\nAnswer: 2953.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -k**3\/4 - 39*k**2\/2 + 589*k\/4 - 255\/2 = 0.\nAnswer: -85, 1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 127 + -59. What is the tens digit of s?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 15347807, 15347801, 15347795, 15347789, 15347783?\n\"Answer: -6*y + 15347813","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2b77832 (base 12) to base 11.\nAnswer: -5007367","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -5 + 4. Let q(j) = -21*j - 3*j - 4*j - 1 - 19*j. List the prime factors of q(k).\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5b5136 (base 12) to base 13\nAnswer: -3cb1a5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(72) + -1*sqrt(72) + 3 + -5*(sqrt(72) + sqrt(72)*-2))**2.\nAnswer: 180*sqrt(2) + 1809","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1187 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z - 32 = -2*v - 0*z, 64 = 4*v + 3*z. Suppose v*j + 770 = 21*j. Is j a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p + 150 = 4*x, 4*x - 187 + 55 = 4*p. What is the tens digit of x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*p + 3*t - 10 + 34, -3*t = 3*p + 3. Suppose 5 = b - 2*j - p, -j = -4*b + 25. Does 8 divide 68\/b - 2\/6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1023 - -1306. What is the units digit of b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -391, -1437, -2483, -3529, -4575?\nAnswer: -5621","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (45\/((-270)\/136))\/(-6 + 2) and -70\/723.\nAnswer: 723","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10100110110 (base 2) in base 4?\nAnswer: 110312","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 58 and 928?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = 5*v + 11. Is y(4) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 1 + (-335)\/(-5) + -1. Suppose 47*c = 27 + v. Suppose 6 = k + 5*d - 9, 3*k + 4*d = 23. Solve c*t + 19 = -k*n - 7, -3*t - n - 13 = 0 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 191867 is divided by 12789.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2568224?\nAnswer: 2, 17, 4721","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 194 divide 789505?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert -a9 (base 15) to base 14.\nAnswer: -b5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 9*q**3\/5 + 23043*q**2\/5 + 2950656*q + 983040.\nAnswer: 3*(q + 1280)**2*(3*q + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4870?\nAnswer: 2, 5, 487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) be the second derivative of -x**4\/12 + 7*x**3\/2 + 13*x**2\/2 - 5*x. Let l be c(9). Let p = l - 73. What is the units digit of p?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*k + 2*k = -5, -4*t - 1 = 3*k for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1779970777?\nAnswer: 13, 136920829","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = 4*q. Let n(h) = 3 + 8*h**2 - 3 - 7*h**2. What is s(n(z))?\nAnswer: 4*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor 6*o**2\/7 - 56234*o\/7 - 56240\/7.\nAnswer: 2*(o + 1)*(3*o - 28120)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-4)\/(-26) + 100\/26. Suppose 69 - 29 = 5*m - 4*r, 2*r + 32 = u*m. What is the remainder when 45 is divided by m?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -j**3 + 11*j**2 - 10*j. Give z(10).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -33 - -36. Let z = -0.1 + 0.2. Which is the closest to z? (a) -0.4 (b) f (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 375 + 17345792.694?\nAnswer: 17346167.694","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in 0, -2, -946, 2, 3\/125, -3?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 198*t**3 + 36*t wrt t?\nAnswer: 1188*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28*y + 7497 - 7917 = 0 for y.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -404, -2313, 5, 2, 4 in descending order.\nAnswer: 5, 4, 2, -404, -2313","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -22 - 11. What is the least common multiple of (-1062)\/g - 10\/55 and 20?\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l - 6096 = -3*t, 2*t - 1574 = -1584. Calculate the remainder when l is divided by 169.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 v and 1 k when three letters picked without replacement from kkkkkvvkkkv?\nAnswer: 8\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(11\/6))**(-5\/14) assuming h is positive.\nAnswer: h**(-55\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**(1\/3)*f)\/f**5*(f**(-3)\/f*f)\/(f*f**5))**(-2\/27) assuming f is positive.\nAnswer: f**(76\/81)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -14 divided by -33?\nAnswer: 14\/33","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wwiioiwoiwwoow. Give prob of sequence oio.\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-176345)\/(-1432464) + (-2)\/32.\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-5*s**2 + s**2 + 0*s**2)*(-36 + 5 - 6)*(2 - 6*s - 2) in the form n + y*s + w*s**3 + i*s**2 and give w.\nAnswer: -888","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2965125 minutes in hours?\nAnswer: 0.004941875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 21*h**4 - 321*h**3 + 1413*h**2 - 1407*h + 294.\nAnswer: 3*(h - 7)**2*(h - 1)*(7*h - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.5 - 0.7. What is the nearest to 2\/7 in -1\/4, f, 5?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) be the second derivative of 49*j**5\/4 - 5*j**4\/12 + 7*j**2\/2 - 5*j + 6. What is the third derivative of f(b) wrt b?\nAnswer: 1470","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((s**(-3\/7)\/s)\/s)\/s)\/(s\/((s\/(s\/(s\/s**(3\/5))))\/s))*s*s*s*s**(3\/5)*s\/(s**10*s) assuming s is positive.\nAnswer: s**(-80\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 313 + -279. What is the remainder when 133 is divided by u?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = g**2. Let f(j) = j + 1. Let s(c) = 43*c**2 + 129*c + 129. Let y(x) = -129*f(x) + s(x). Determine y(u(r)).\nAnswer: 43*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1\/2, 0.5, 44?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((1*sqrt(252) + sqrt(252))\/sqrt(12))\/(sqrt(168)\/sqrt(6)) - ((-1 + sqrt(432) + 2)*5)**2)*-3.\nAnswer: 1797*sqrt(3) + 32475","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0 + 7399664.2399.\nAnswer: 7399664.2399","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1093.8 - 1094. What is the nearest to 0.1 in l, -1, 0, -0.11?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -258.07 - 0.93\nAnswer: -259","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -29\/761082 and 11\/144968?\nAnswer: 3044328","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c*c**(-31))\/(c\/c**19)*(c**(4\/17))**(-12\/5))**(-19) assuming c is positive.\nAnswer: c**(20292\/85)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s and 1 c when two letters picked without replacement from {s: 4, g: 2, y: 1, m: 1, c: 7, t: 3}?\nAnswer: 28\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 1692, 20554, 71758, 171474, 335872?\n\"Answer: 2695*b**3 + b**2 - 6*b - 998","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = x**3 + 596*x**2 - 647*x - 385567. What is r(-596)?\nAnswer: 45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -325 + 324.9. Which is the closest to d? (a) -1 (b) 2 (c) -2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 133 + -94. What is the remainder when 2\/8 - o\/(-4) is divided by -1 - -1 - (-1 + -5)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2112331320 (base 5) to base 15.\nAnswer: -5c3e40","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = 153*h**2 + 54*h - 54. Let y(d) = 14*d**2 + 5*d - 5. Let w(j) = 5*v(j) - 54*y(j). Let x(r) = -2*r. Give x(w(p)).\nAnswer: -18*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1377, -1898, -2753, -3930, -5417, -7202?\nAnswer: -9273","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((0 + sqrt(363) + -5)**2 - (-4 + (sqrt(363) + sqrt(363) + -1)**2)) + (2*sqrt(363) + 3 + -1)**2.\nAnswer: 22*sqrt(3) + 395","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) be the third derivative of 1\/315*s**7 + 0*s**5 + 0*s + 17*s**2 - 1\/180*s**6 + 0*s**4 + 0 + 0*s**3. Let t(n) = 0. Calculate n.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d**(7\/5)*d**(-5\/8) assuming d is positive.\nAnswer: d**(31\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*u**2 + 0*u**2 + u**2)*(-u + 9 + 11 - 3).\nAnswer: -u**3 + 17*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 123220026 divided by 6\nAnswer: 20536671","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 504 and 12054?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 76327900?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -w**2 + 11*w - 11. Let v(f) = 0 + 3*f - 7 + 0*f. Let t be v(5). Is r(t) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 574 greater than 573?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5552400578?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (-38 - -35) + (0 - (2 + 4))\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -3\/2, -6, 0.04, 0?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -14 + 10*150\/108.\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -13 + 25. Let s be (36\/(-8))\/(6\/(-16)). What is the highest common factor of s and l?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = p**3 + 3*p**2 + 4*p + 69. Let l be k(-5). Put l, -4, 0, -3 in increasing order.\nAnswer: -4, -3, l, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 at most -64.939?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in eleven quarters of a centimeter?\nAnswer: 27500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f + 45324 + 39631 = 0. Let d = 305983\/18 + f. Find the common denominator of 86\/(-4) - (-188)\/(-47) and d.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1828\/(-914)*(-52)\/(-8).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-10)\/880 + (-21022)\/(-68816)?\nAnswer: 5\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 12 - 6. Let u be (x\/602)\/((-30)\/20). Let w = u - -8741\/1806. Calculate the common denominator of w and -2\/3.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 963 - 967. What is the closest to -4.2 in u, 0.3, -3, -2?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*m**2 - 1691*m + 1691*m + 22)*(2*m**2 - 2 + 2).\nAnswer: -6*m**4 + 44*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2136379?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) be the second derivative of 0*w**3 + 20*w + 0*w**5 + 61\/6*w**4 + 3 + 59\/42*w**7 + 0*w**2 + 0*w**6. Find the third derivative of c(n) wrt n.\nAnswer: 3540*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21805517 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -915, 13, 3, 2, -5 in decreasing order.\nAnswer: 13, 3, 2, -4, -5, -915","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 35\/((-20615)\/(-12844)) + (-16 - 6).\nAnswer: -6\/31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 435655 and 605?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -24491, -24494, -24497, -24500, -24503?\nAnswer: -24506","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4 in 1\/3, -3, 41911?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -n**2 - 16*n + 1. What is f(-15)?\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is -10 + (4096750\/105 - 3\/(-9)) a multiple of 99?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -931042*i**3*y**2 - 3*i**2*y**2 + i**2 + 15*i*y**2 - 7*i*y + 483*y**2 wrt i?\nAnswer: -5586252*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8735.\nAnswer: 5, 1747","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -15, -39, -89, -177, -315?\nAnswer: -515","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**(-15\/7)*x*x)\/(x*x*x**(-2)*x*x)*x**21*(x**(-13)*x)\/x)**0 assuming x is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3143 and 189927?\nAnswer: 449","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2834 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1465251507?\nAnswer: 3, 1409, 115547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 16783.6 + -16784. Put g, 0, -0.0637 in ascending order.\nAnswer: g, -0.0637, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000261372761 to 4 decimal places.\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 445073340453876.69999918 + -445073359170827. Let d = 18716952 + r. Let q = d + -1.7. What is q rounded to seven decimal places?\nAnswer: -0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -263, -187, 11, 391, 1013, 1937, 3223, 4931?\nAnswer: 7121","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*l - 118 = -o - 152, -3*o = -4*l + 45 for o.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -21*g**5 + 2*g**4*j**2 - 2*g**2*j + 117*j**2 wrt g.\nAnswer: -1260*g**2 + 48*g*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) be the third derivative of 19*q**6\/780 + 37*q**5\/195 - 2*q**4\/39 + 3*q**2 - 6. Factor f(s).\nAnswer: 2*s*(s + 4)*(19*s - 2)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -20*x + 20. Let w(f) = f - 1. Let l = 12 + -3. Suppose 4*y = -l + 73. Let m(n) = y*w(n) + q(n). Differentiate m(v) with respect to v.\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -20, -27, -34, -47, -72, -115, -182, -279?\n\"Answer: -k**3 + 6*k**2 - 18*k - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3394587 is divided by 930?\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*r**2 - r**3 - 2*r**2 + (3 + 2*r - 3)*(92*r - 92*r - 7*r**2) - 49*r**3 + 90*r - 90*r.\nAnswer: -64*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 546 minutes after 8:25 AM?\nAnswer: 5:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 9 + 2257?\nAnswer: 2260","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.37? (a) 0.5 (b) 4 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -62517*d + 60067*d + 188650 for d.\nAnswer: 77","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -3 (b) 4309.7 (c) -2 (d) -1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:55 PM and 9:45 PM?\nAnswer: 410","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 20639 + -11539. Round m to the nearest one thousand.\nAnswer: 9000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j - 3*j + 76 = 0. Let u be (8\/12)\/(5\/1815). Suppose 6*f = -44 + u. What is the remainder when f is divided by j?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -2*4195918\/16 + 8\/(-288)*9. What is r rounded to the nearest ten thousand?\nAnswer: -520000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 9 - 10. Let j = y - -5. Let q = -4 + j. Is -1\/5 > q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -118, -513, -1176, -2107, -3306, -4773?\nAnswer: -6508","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 25\/473 and 59\/1634.\nAnswer: 17974","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 43\/189 + -1\/189. Let x = -5\/7 - -1. Let c = -308.26 + 306.26. What is the smallest value in c, a, x?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 412994761 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -779*y + 1082 + 1255 = 0 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 4, m: 2}. Give prob of sequence km.\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -3 + -6?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -314*y**4 + 363*y**3 - 21508052*y**2 wrt y?\nAnswer: -7536*y + 2178","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1050281 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*y + 29 = -4*y - j, -2*j - 43 = -3*y. Let q(l) = -l**2 - 8*l - 6. Calculate the remainder when y is divided by q(-5).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -25.3 - -34.3. Let r = -10.5 - -1.5. Let y = r + w. Which is the nearest to 1? (a) y (b) 1 (c) -1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z, 1 f, and 2 c when four letters picked without replacement from {z: 7, f: 3, c: 8}.\nAnswer: 49\/255","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - o**2 + 1)*(-5 - o**3 + 5) - 4*o**4 + o**5 + 4*o**4 - o**5 + 5*o**5 - 2*o**5.\nAnswer: 4*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2087656 and 826?\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3690 - 1895. Is q composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f + 6 + 2 = 0. Suppose -4*m - 2*y = 0, 0 = -3*m + 6*m - y. Let a = 6 - m. Calculate the least common multiple of f and a.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i + 15 = 0, m + 7 = 2*i - 2. Let j be (2\/1)\/(m\/10). Let q be j\/8*(-4)\/(-5). Solve -q*a - 23 = 4*l - 9, -l = -4*a + 8 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 522 + -136. Let k = r - 386. Solve 2*g - 2*p - 8 = k, -g = 3*g + 3*p - 16 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 52363121*d - 16932397 wrt d?\nAnswer: 52363121","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 342 + 1?\nAnswer: 343","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (28\/(-56))\/((-10)\/(-12))?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3\/97006 - 303117\/391225198. Which is bigger: 1 or g?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 3433363?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 250080 a multiple of 96?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 6\/(-81) + (-980)\/(-108) + -1. Let j be u\/(-26)*962\/(-148). Factor -20\/7*c**j - 16\/7*c + 0 - 4\/7*c**3.\nAnswer: -4*c*(c + 1)*(c + 4)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -g - 7. Let k be c(-7). Solve 0*t + 5*t = k for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is three eighths of a litre in millilitres?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27*g**4\/5 - 186723*g**3\/5 + 1430436*g**2\/5 - 663228*g + 414480 = 0. What is g?\nAnswer: 1, 10\/3, 6908","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = 5*u - 30. Let w be 7\/u - (-2)\/8. Suppose -w + 57 = 5*t. Is t a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*a = 186 - 43. Let r(y) = y**2 + 13*y + 19. Let x be r(a). What are the prime factors of (1 + x)\/((8 - 2)\/(-456))?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 6455 - -173?\nAnswer: 6638","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 4}. What is prob of picking 2 o?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -692*r**4 + 3618*r**4 + 1743*r**4 + (r**2 - 1 + 1)*(r**2 + 3*r**2 - 5*r**2) to the form o*r**3 + y*r + n*r**2 + g*r**4 + d and give g.\nAnswer: 4668","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (2 - (-16)\/(-6))*3. Let p = -8 - -3. Let g be (q + 1 + 0)*p. Solve 0 = -2*n - g - 3 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 2 + 0)*(1 + 2 - 2)*(-13*u**2 - 9*u**2 + 6*u**2)*(2*u + 3*u - 3*u).\nAnswer: -64*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 9, g: 10}. What is prob of picking 2 i?\nAnswer: 4\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 25135750 a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -9, 1, 15, 33, 55?\nAnswer: 81","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -30 - 99*i + 11 - 12 - 12. List the prime factors of t(-5).\nAnswer: 2, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (7\/(-4))\/((-3532)\/2649) and (-1)\/2 + (-226)\/(-80).\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 27.136 + -27. Let p = 3.784 + c. What is p rounded to 1 decimal place?\nAnswer: 3.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1686601 is divided by 337318.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1788*q**2 + 2182*q**4 - 3478*q**2 + 1686*q**4 - 145*q**4 - 148*q**4 wrt q?\nAnswer: 85800*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 421083689 to the nearest integer?\nAnswer: 750","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 49 a factor of 229739?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 25437390 and 1980.\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 201696598 to the nearest integer?\nAnswer: 586","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g - j - 8 = -0*j, 6 = 5*g - 2*j. Let b be ((-6)\/(-3))\/(-1) + g. Factor 1\/5*h + 1\/5*h**2 + b.\nAnswer: h*(h + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*c - 6 - 3, 3*c = 5*n + 24 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*l + 4*d + 2 = -5*l, 5*d = -l + 2. Differentiate f - 8*f + 4 + 2*f - l*f with respect to f.\nAnswer: -7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 275 - 439. Let r = -122 - a. What is the greatest common factor of r and 12?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 c, 1 v, and 1 n when four letters picked without replacement from tmnnnmncmvvvmncccnh.\nAnswer: 9\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (15\/60*4)\/((75\/12)\/(-5))?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -328 divided by -4?\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f + d = -5, 3*f - 2*d - 7 = 3. Suppose -t + 87 - 13 = f. Is 21 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kkhrkkkggkkhxhhhhnhh. Give prob of picking 2 g and 1 k.\nAnswer: 7\/1140","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-7)\/14*(1 + (-2 - -1439)). Let m = z + 727. Solve m = 15*n - 7*n for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 27866?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -15*z - 27. Let q(t) = 16*t + 27. Let h(o) = 4*l(o) + 3*q(o). Let n be h(-11). Suppose -a - n = -4*a. What is the tens digit of a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 minutes after 3:16 PM?\nAnswer: 3:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 244 - 150. Let k = -90.5 + g. Let h = k + 3.5. Sort h, -0.3, 3.\nAnswer: -0.3, 3, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((z**1)**19\/((z\/z**8)\/(z\/(z**(-2)*z))))**(2\/35))**36 assuming z is positive.\nAnswer: z**(288\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -276*l + 138*l - 27*l**2 + 140*l to d*l + o + b*l**2 and give b.\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a + 96 + 20 = 0. Calculate the remainder when a is divided by 8.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.4 * 12038.\nAnswer: 4815.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 80317 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert -18 (base 9) to base 8.\nAnswer: -21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 101\/60165 and -59\/4005270.\nAnswer: 28036890","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 239409?\nAnswer: 3, 8867","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 + 12\/(-3))*1?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -1930 divided by 576\nAnswer: -965\/288","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (45 - 26 + 23)*(-i + 2*i - 12*i).\nAnswer: -462*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.05665 + -108.25335. Let x = 108 + m. What is the biggest value in 1\/2, -0.3, x?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(sqrt(60)\/sqrt(5) + sqrt(12))\/sqrt(6) + 0.\nAnswer: -12*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -51 and -0.03?\nAnswer: 1.53","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/2? (a) 3 (b) 1\/3 (c) 6\/11 (d) 0.2 (e) 26\/405\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4 times -78779?\nAnswer: -31511.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 19981293?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 32 a factor of 1184?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + -1*(-3 + sqrt(425)) + 4)**2.\nAnswer: -110*sqrt(17) + 546","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-20*h**2 + 15 - 6 + 21*h**2)*(-3 + 3 - h).\nAnswer: -h**3 - 9*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -11 + 314?\nAnswer: 303","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*f - 43324 + 43314 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) be the first derivative of -s**2 + s**3 + 1\/2*s**4 + 0*s + 6. Calculate the remainder when 93 is divided by o(2).\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = n**2 - 34*n + 15. Let w(g) = 7*g**2 - 42*g + 90. Let j be w(2). Give h(j).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 481 + -163. List the prime factors of b.\nAnswer: 2, 3, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -3*s**2 - 4*s + s - 3 - s**2. Let x be 37 + (-7 - -4) - 36. Calculate y(x).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*p**3\/7 - 75*p**2\/7 - 429*p\/7 - 51.\nAnswer: -3*(p + 1)*(p + 7)*(p + 17)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -d**3 - d**2 + 1. Let u be z(0). List the prime factors of 11\/u - (-2)\/(-2).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1217*r + 6314 = -988 for r.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is af8a + -1e?\nAnswer: af6c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-2)\/(-9) + (-176)\/(-99). Suppose -34 = -2*q + 22. Let a be q\/6 + 4\/(-6). Solve -u*b = -b + a for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1\/(0 + -3) - (-4867)\/93 is divided by 18.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7140561.\nAnswer: 3, 17, 19, 7369","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 1216007741 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 6.86 times -0.3\nAnswer: -2.058","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 156191173.\nAnswer: 89, 1754957","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -d**3 + 10*d**2 + d - 4. Let q be r(10). Find the common denominator of 69\/14 and q\/(-2) + (-77)\/10.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -24\/7, 3, 4, -13\/4, -70?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = 3*p**2. Let t(y) = -4*y + 0*y**2 - 129*y - 21*y - y**2 + 14*y. Calculate z(t(c)).\nAnswer: 3*c**4 + 840*c**3 + 58800*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.022637 times 0.16?\nAnswer: -0.00362192","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3 + 0. Suppose 2*p + 36 = 3*s, 3*s + 0*s + 4*p = 18. Suppose -54 = s*x - 16*x. Solve 2*a - x = -o for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:24 PM and 1:09 AM?\nAnswer: 165","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r\/r**(-1))\/(r**(-2\/3)*r) assuming r is positive.\nAnswer: r**(5\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 4*1\/(-8)*4\/1\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 4 - -660?\nAnswer: 664","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2 and 42730?\nAnswer: 42730","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -165*j + 161*j = -12. Suppose j*w + 2 = 4*m + 18, 5*w = 0. What is the closest to -1 in m, 0.09, 3\/4, 0.3?\nAnswer: 0.09","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -8.4 + 8. Let n be -2 + (-4)\/(40\/(-14)). Let o = -2 - -3. What is the closest to o in n, k, 3?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -11.9 - 140.1. Let z = i + 151.999906. What is z rounded to 5 decimal places?\nAnswer: -0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 51 minutes before 11:06 AM?\nAnswer: 10:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = 25*c**3 - c**2 + 6*c - 5. What are the prime factors of s(2)?\nAnswer: 7, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p + 15 = 5*u + p, 0 = 4*u + p - 19. Calculate the lowest common multiple of u and 40.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 85\/168 and 117\/392.\nAnswer: 1176","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*m**4 - 55*m**3 + 105*m**2 + 1055*m - 1100 = 0 for m.\nAnswer: -11, -5, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 121, 114, 105, 94, 81?\nAnswer: 66","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 14*i - 2899 + 1443. Calculate the greatest common divisor of 56 and i.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n**(1\/8)*n\/(n\/(n**(1\/2)*n))*n*(n**1*n)\/n*n\/(n\/(n**(-4\/9)\/n)) assuming n is positive.\nAnswer: n**(157\/72)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 231 minutes after 11:39 AM?\nAnswer: 3:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/33? (a) -8 (b) 0.6 (c) 2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + (58\/(-48) - (564\/72)\/(-47)).\nAnswer: -1\/24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r\/r**(1\/3)*r\/r**6)\/(r**3\/(r\/((r\/(r*r**(-2\/3)))\/r))) assuming r is positive.\nAnswer: r**(-6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2 (base 11) to base 5.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 202 - 320. Let b = -112 - h. What is the greatest common divisor of 66 and b?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000007507 rounded to 7 decimal places?\nAnswer: -0.0000075","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -4\/9 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 31866 at most 31848?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -177 + 311. Let u = w + 506. What is the tens digit of u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -6*d**2 + 3*d. Let h(g) = 3*g**2 - g - 1. Let z(n) = 5*h(n) + 2*r(n). Let k(c) = 2*c**2 + c - 4. Calculate -6*k(t) + 5*z(t).\nAnswer: 3*t**2 - t - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express -9*j + 0*j + 26714*j**2 + j**3 - 26785*j**2 in the form g*j + l*j**2 + c + p*j**3 and give p.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -5662 + 5657. Which is the fifth biggest value? (a) 118 (b) -0.1 (c) x (d) 3 (e) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*n + 2 - 1 - 3 + 11*n - n in the form i*n + t and give t.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -169\/351648 and 25\/307692.\nAnswer: 2461536","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (7\/14*6)\/((-303)\/(-808)).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 244*o - 3291 - 1589 = 0. What is the greatest common divisor of o and 374?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -658 = 9*m - 694 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0.3, 0.037, -0.1, 0.8, -3, 1.4?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 148790?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express -53*p - 254 + 254 as m + w*p and give w.\nAnswer: -53","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -4 + 25 - 11 + 3*v**3 - 1 - 5*v**2 with respect to v.\nAnswer: 9*v**2 - 10*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 10876?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -3*p**2 + 3*p. Let j be o(3). Let w = j - -22. Suppose 0 = -4*m + w, -k + 0*k - 5*m = -7. Solve -2*f + 8 = -k*z + 2, 2*z + 3*f = -1 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j - 2*o = -525, -o = -2*o + 5. Let m = -96 + 58. Let h = m - j. Is h prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -3*n**3 + n**2 + n. Let q be s(-1). Find the third derivative of z**2 + 14*z**3 - 17*z**2 + 4*z**2 + 4*z**q wrt z.\nAnswer: 108","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 29 (base 14) to base 11\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1752 = -f + 4*g - 1795, f - 2*g + 47 = 0 for f.\nAnswer: -51","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -104 (base 16) in base 12?\nAnswer: -198","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -2066, -2049, -2042, -2051, -2082, -2141?\n\"Answer: -g**3 + g**2 + 21*g - 2087","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d = 3*j - 58, 6*j = 4*d + 2*j - 44. What is the tens digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -746742 rounded to the nearest 100000?\nAnswer: -700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide -417 by 3.\nAnswer: -139","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 2, t: 2, w: 2, n: 1, j: 3, g: 2}. Give prob of sequence gnww.\nAnswer: 1\/2970","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ttvmmmmummmwtwnvm. What is prob of sequence wvuw?\nAnswer: 1\/14280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is three tenths of a milligram in micrograms?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (125\/(-1000))\/((-3)\/(-2))?\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r + r + 4 = -2*y, -4*r + 5*y - 36 = 0. Let n be 3 - ((-6)\/r)\/3. Which is smaller: n or -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-24)\/16)\/((-27)\/666). Solve -p*y = -31*y - 36 for y.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((7\/(-87))\/1)\/(124075\/(-106350)).\nAnswer: 2\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.23 - 2.77. Which is the closest to 1\/2? (a) -4 (b) f (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -40494 - -40?\nAnswer: -40454","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -252, -251, -250, -249, -248, -247?\nAnswer: -246","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out 575.67 * -0.1.\nAnswer: -57.567","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by 4098093.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 2, i: 3, q: 1, s: 10}. Give prob of sequence jsji.\nAnswer: 1\/728","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-two fifths of a decade in years?\nAnswer: 64","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i - 45 = -i. What is the highest common divisor of i and 63?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -559*t - 1 + 0 + 1 + 1529*t as u + v*t and give v.\nAnswer: 970","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put -331, 35, -2, -12, -34, -5 in descending order.\nAnswer: 35, -2, -5, -12, -34, -331","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -17 - -19. Solve -t*o + k = 3, -o = -0*o + k + 9 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 103 minutes before 12:14 AM?\nAnswer: 10:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-4)\/(-1))\/12 - 14\/33.\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 173297.47 to the nearest ten thousand.\nAnswer: 170000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -6? (a) -0.3 (b) -0.4 (c) 18 (d) 29 (e) 0.7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 3, v: 3, o: 5}. Give prob of picking 4 q.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express 918*x + 277*x + 535*x + 231*x - 294*x as k + t*x and give t.\nAnswer: 1667","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p = -10 + 12. Let a be (0 - p) + ((-135)\/35)\/(-3). Sort a, 2\/17, -11.\nAnswer: -11, 2\/17, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = i**2 - 15*i + 46. Suppose -5*d + 114 = -2*d. Calculate the lowest common multiple of l(4) and d.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -5*r - 2*r**2 - 1386 + 1382 + 0*r**3 - 2*r**3. Let s be z(-1). Solve 3 + s = 4*t for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1196*p - 1023 + 5701 - 38166 = 0 for p.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of ((-11)\/(-4))\/((-13)\/(-52))?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -2.36718 and -887?\nAnswer: 2099.68866","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 16 + -12 + -2 + 2 + -3 + -1?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -349*a**2 + 54*a**2 - 250*a**2 as v*a**2 + n + r*a and give v.\nAnswer: -545","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p = -2*p + 8. Let t(l) = 7*l - 20*l + 10*l + 6. Let o(z) = -z + 2. What is p*t(v) - 7*o(v)?\nAnswer: v - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -9 + 9 + (-18)\/(-22). Let p = -5\/33 + u. Let o be (1\/3)\/(5\/6). Which is the closest to p? (a) 3 (b) o (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) be the first derivative of c**3 - c + 1. Let y be g(-1). Suppose -s + 3*s - 5*j - 29 = 0, -9 = -y*s + j. Solve -s*n = 0, -1 = u + n - 0*n for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*o = 18*o + 56 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1301*g**4 + 160856*g**3 - 1076152971*g**2 wrt g.\nAnswer: 31224*g + 965136","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o\/(o*o**(10\/13)*o*o))\/o*o\/(o**(-2\/49)*o) assuming o is positive.\nAnswer: o**(-2375\/637)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:24 AM and 6:24 AM?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -874*a = 12152 + 4943 + 6503 for a.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 125441542?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000019 rounded to six dps?\nAnswer: 0.000019","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Work out 43 * 14.\nAnswer: 602","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k and 2 w when three letters picked without replacement from kkwkkkwkkwkwkkkkkkk?\nAnswer: 30\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x - 3 = 1, 0 = -4*r - 5*x + 2. Let c(i) = i**3 - 14*i**2 - 15*i + 1. Let v be c(15). Let m = 5 - 12. Put r, m, v in ascending order.\nAnswer: m, v, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1.11 + -56.89. Let y = -63 - f. What is the third smallest value in -0.5, y, 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 449827?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 12\/(-90) + 21 + (-242)\/(-15)\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -7*y + 30. Let z be n(9). Let t = z + 23. What is the tens digit of (-13 - t)\/(3\/(-130))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (0\/(-1))\/(3 - 0). Suppose 4*t - v + 0*v - 2 = 0, 2*t + 10 = -5*v. Solve 5*p + 5 = u, o + 3*p + 8 = -t*p for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1033 + 64*v**3 + 5*v**2 - 1026 - 4*v**4 - 3*v - 63*v**3 to s + u*v**4 + o*v**3 + n*v**2 + c*v and give s.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -7 + 0. Let u(a) = -2*a**3 - 6*a**2 + 4*a + 7. What is the tens digit of u(x)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -254 - -295. Calculate the remainder when 120 is divided by z.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 330086 and 330123 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: Divide 1049910 by 2658.\nAnswer: 395","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor h**3\/4 + 221*h**2\/2 - 12141*h - 7076322.\nAnswer: (h - 242)*(h + 342)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1144 (base 6) to base 14.\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -24 + 9 + 32 + -15. Let h(v) = -v**3 + 2*v**2 - v + 2. Let a be h(2). Solve -3*c = 2*p + 5, -3*c + 4*p + m - 1 = a for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 56614506 - -5?\nAnswer: 56614514","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Work out 4876453 + -67761760.\nAnswer: -62885307","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is thirteen quarters of a microgram in nanograms?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*3*-1*sqrt(720).\nAnswer: -216*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 524 = 4*t - n - 1238, -3*n = -4*t + 1758. What is the highest common divisor of 18 and t?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r + 4 = 19. Let d(n) = -3*n + 9. Let o(q) = -1. Let m(b) = -d(b) - 6*o(b). Calculate m(r).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -130 (base 10) in base 14?\nAnswer: -94","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-9)\/27)\/((-1)\/447). Let r(d) = d**3 + 15*d**2 - 20*d + 33. Let h be r(-16). Let g = a - h. Is g a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3 - -9. What are the prime factors of y?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -1\/3*r + 2\/9*r**3 - 1\/3*r**2 + 2\/9 = 0. What is r?\nAnswer: -1, 1\/2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -j**2 - 10*j - 9. Let z be (2 - -12)*(1 - (-6)\/(-4)). Let v = -21 + 37. What is the lowest common multiple of y(z) and v?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -17, -170, -531, -1184, -2213, -3702, -5735?\nAnswer: -8396","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine c so that -2*c**2 - 79368*c + 2064920 = 0.\nAnswer: -39710, 26","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 3\/8 of a meter?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -29\/44 and 64\/3.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -14 - -20. Suppose 99 = 3*w + 84, -4*l + 5*w = 13. Calculate the lowest common multiple of l and z.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -10*v**3 + 7*v**2 + 7*v + 3. Let k(t) = 9*t**3 - 6*t**2 - 6*t - 4. Let h(d) = 7*k(d) + 6*s(d). Find the first derivative of h(m) wrt m.\nAnswer: 9*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -195 - -724ba?\nAnswer: 72325","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find t such that -4*t**5\/3 - 28*t**4\/3 - 20*t**3 - 20*t**2\/3 + 64*t\/3 + 16 = 0.\nAnswer: -3, -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(70)\/(sqrt(1440)*-2) - (-3 + (sqrt(700)*2 - sqrt(7)))**2.\nAnswer: -2536 + 2735*sqrt(7)\/24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve v**2\/2 - 91551*v\/2 - 13316945 = 0 for v.\nAnswer: -290, 91841","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 330*m = -592*m + 183*m - 2956. Suppose -y + 4*y + 4*q = -9, 4*y + 12 = -2*q. Put y, 4, m, 7 in increasing order.\nAnswer: m, y, 4, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1230988.209 to the nearest 100.\nAnswer: 1231000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 2467 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: What is the second derivative of 2738*k**3*u - k**2*u + 46545*k*u + k + 3 wrt k?\nAnswer: 16428*k*u - 2*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -4*i - 49. Let u be o(-13). Suppose -3*x - 2*x = 20. Which is the nearest to 0.1? (a) u (b) -0.03 (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u**2 + 2313416*u + 668986698632 = 0. What is u?\nAnswer: -578354","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 - 29 = -2*v. Suppose -2*r - 36 = 2*u - 138, 244 = 4*u - 4*r. What is the remainder when 1883\/u - 6\/(-16) is divided by v?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.091 * 1413.03.\nAnswer: -128.58573","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -16 + (11 - -7 - 10).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -94 + -c?\nAnswer: -a2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10e6b0 (base 16) to base 5.\nAnswer: -240421012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.17 - -1.37. Let v = b - 1.2. Which is smaller: -2 or v?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4646762?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32 = -35*d + 598. Let f = -117 + 169. What is the remainder when f is divided by d?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -6 + 4 - (-1 - -1). Let c be k\/(8\/(-3) + 2). Suppose 0*j - c*j + 425 = 4*l, -5*l = -3*j - 565. Calculate the greatest common factor of l and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + -4*(-5*sqrt(77)*2)\/(sqrt(343)*-4).\nAnswer: -10*sqrt(11)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-10)\/12 + 52\/156. What is the second smallest value in 0.5, c, 102?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/4, -4, 19, -4\/3, -512, 1\/9.\nAnswer: -512, -4, -4\/3, 1\/9, 3\/4, 19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express (4847*c**2 + 49095 - 49095)*(-3 + 1 - 2)*(2 + 3 - 6) in the form p + s*c**2 + x*c and give s.\nAnswer: 19388","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Add -1816721 and -0.03.\nAnswer: -1816721.03","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((a\/(a\/(a\/a**(-1))*a))\/(a*a\/(a*a**8)*a*a))\/(a**(1\/5)\/a)**(-26))**(-11) assuming a is positive.\nAnswer: a**(814\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -458618 - 16*r + 917278 - 458660 + 10*r.\nAnswer: -6*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 40231 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -2*h**2. Suppose -p + 6*p - 205 = 0. Let a(y) = -y**2 + p*y - 21*y - 20*y. Calculate u(a(c)).\nAnswer: -2*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4501, 9120, 13853, 18706, 23685, 28796, 34045, 39438?\nAnswer: 44981","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -343512 divided by 114504\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 60 - 27. Let u = w + -31. Suppose -15*c**2 - 10 - 7*c**3 - 122*c + 5*c**4 + 147*c + u*c**3 = 0. Calculate c.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 14 and 350.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -13 - -20. Let w = 25 - 15. Let x = o - w. Which is the second smallest value? (a) -1\/5 (b) 2 (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 2 + (-4)\/(0 - 2). Suppose -p*d = -2*i - 12, -2 = -5*d - i - 1. Suppose -g = u - 5, g + d = 4*u - 4. List the prime factors of g.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*u + 21 + 4 = 0 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 587 a factor of 124495069?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*s + 2*s - 140 + 32 = 0 for s.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*l**2 + 4*l**3 + 3*l + 4*l**2 - 3*l**2 - 7*l**2 - 2 + 4*l**2 as p*l**3 + i*l**2 + r + q*l and give q.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 0, -49, -23, 101, -5.\nAnswer: -49, -23, -5, 0, 4, 101","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o = 3*f - 3*o, 0 = 3*f + 3*o - 15. Solve -4*p - 8 = 2*g, -6*g + 12 = -5*g - f*p for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 341 is divided by 92?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*sqrt(70)\/(sqrt(5)*-1))\/(sqrt(35)\/((sqrt(10) - (sqrt(160) - sqrt(10)))\/sqrt(2))))**2.\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 59 or 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -33928900.1 rounded to the nearest one hundred thousand?\nAnswer: -33900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -50 + 49. What is the second biggest value in -5, -3, b?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 840*c + 608*c + 222*c - 328*c as l*c + n and give l.\nAnswer: 1342","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*a**2 + 16*a**2 - 59*a**2.\nAnswer: -37*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 229*i**2*r**3*t**2 + 3*i**2*r*t + 2*i**2*t + 17*r**2 + r*t**2 wrt r.\nAnswer: 1374*i**2*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-7376)\/1)\/(2 - 4). Suppose k = 18*f - 14*f. What is the tens digit of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-555)\/75 + 0 + 5 + (-15)\/25?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = 2*s**2 - 16*s + 296. Let q be c(22). Find the third derivative of -q*y - 99*y**4 - 32*y**4 + 68*y**2 + 59*y**2 + 912*y wrt y.\nAnswer: -3144*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 x and 2 h when four letters picked without replacement from hwchxxx.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 6 + -4. Let u be ((-2)\/4)\/(1\/(-4)). Solve -6*y - 16 = 4*h - i*y, 0 = 2*h - y + u for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -1 + 3 + -4 + 0. Put r, 0.1, -1 in decreasing order.\nAnswer: 0.1, -1, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 50707 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bbbz when four letters picked without replacement from {b: 3, g: 2, z: 5}?\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*i - 5*i + 4533600. Suppose 13312609 = -32*q - 4822431. Let y = i + q. What is y rounded to the nearest one hundred thousand?\nAnswer: 300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -n**3 + 2*n**2 + 2*n + 3. Let s = -17 + 20. What is o(s)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -11*f - 16. Let a(l) = -44*l - 57. Let m(s) = 3*a(s) - 11*j(s). Calculate m(2).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 86157 times -1\nAnswer: -86157","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 7917634883 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -b**3 + 2*b**2 + b - 1. Suppose 7*t + n = 3*t - 1, -2*t - 8 = -2*n. What is the least common multiple of 2 and v(t)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (300\/(-16))\/(3\/(-8)). Calculate the greatest common divisor of 150 and a.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -12270616 from 0.3.\nAnswer: 12270616.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -139 + 143. Suppose -q = 15*x - 13*x. Let r = -34 + 100\/3. Which is bigger: x or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -1*1 - (39\/3 - 16). Suppose -4*o + 78 = 2*g - o, 172 = 4*g + m*o. What is the least common multiple of g and 81?\nAnswer: 405","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 10\/75 + (-618)\/(-90). Factor -39 - 56*z + 0*z + z**3 - 28*z**2 + d - 5*z**3.\nAnswer: -4*(z + 1)*(z + 2)*(z + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 206 is divided by 41?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one eighths of a micrometer in nanometers?\nAnswer: 2625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*l + 4*u = -1, 3*u + 4 - 5 = -2*l for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o = 3*s + 5 + 4, 6 = 4*o - 2*s. Let v be 18\/(-9)*(-2)\/(-22). Let g = 1 + 0. Which is the closest to -0.1? (a) o (b) g (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:30 PM and 2:45 AM?\nAnswer: 315","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24066*f**2 + 48136*f - 8 = 0. Calculate f.\nAnswer: 2\/12033, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 383118362 to the power of 1\/3, to the nearest integer?\nAnswer: 726","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**17\/(g*g**(-5\/3)))\/((g*g**(-6))\/(g**(2\/3)\/g)))**(-15) assuming g is positive.\nAnswer: g**(-335)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 1487 smaller than 1489?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 192*g + 92 + 241 = -652 - 551 for g.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/3 in -5, -6692, 3\/25?\nAnswer: 3\/25","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = k**2 + k - 7. Let z(j) = -j - 1. Let h(m) = o(m) + 2*z(m). What is the least common multiple of 11 and h(4)?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) be the second derivative of 793*z**8\/56 - 361*z**4\/12 + 6*z + 5. What is the third derivative of g(j) wrt j?\nAnswer: 95160*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 9 - 6. Suppose p = 3*a + j*p + 4, -8 = 4*a + 4*p. Solve -5*y + 2*b + 10 = a, -15 = -2*y + b + 2*b for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vdvzi. What is prob of sequence vdi?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 11651775?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 1*(-3)\/(-6)*-4\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -69\/173 - 9659\/4844. Let u be 2\/4 - (-102)\/(-28). Let h = u - t. Which is the nearest to -1\/3? (a) -3 (b) h (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/3? (a) 0.83 (b) 8 (c) -0.1 (d) -3.44 (e) -0.3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -3 - -15e?\nAnswer: 15b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 15489, 15470, 15449, 15426?\n\"Answer: -i**2 - 16*i + 15506","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*q - 4, 18 = f + q - 3*q. Calculate the smallest common multiple of f and 14.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 13493\/(-20)*5\/620. Let r = o - -45\/496. Find the common denominator of -115\/14 and r.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 5909088?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 29294158577 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -39.16 rounded to the nearest 10?\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 177 and 21.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand v + 3*v - 2*v + (-3 + 2*v + 0 - 2)*(-2 + 3 + 1).\nAnswer: 6*v - 10","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19 = 5*w + 1. Let p = 7 + w. Is 2 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*q**3 - q - q + 0*q**3)*(0 - 2 - 2).\nAnswer: 8*q**3 + 8*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 102 and 2499.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 67779.\nAnswer: 3, 17, 443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = y + 7. Let k be f(-4). Let t(m) = m**2 + 0*m**k - 4*m**3 + m + 1 + 5*m**3. What is t(0)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -107298323 divided by 69091?\nAnswer: -1553","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5200*r**2 + 4*r - 4*r - 3844*r**2.\nAnswer: 1356*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 5014.035cm in nanometers?\nAnswer: 50140350000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.5 and -2411.413.\nAnswer: 1205.7065","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 9*j - 44 - 28 for j.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3 in 2\/5, -0.3, 15?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -22715.7 - -0.080497?\nAnswer: -22715.619503","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -8 - -12. Suppose -14 + 3 = -3*y + 2*z, 0 = 5*y - z - 23. Calculate the remainder when y is divided by x.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 12, -10, 6971 in increasing order.\nAnswer: -10, -1, 12, 6971","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -6830*n + 20. Let r be l(-6). Round r to the nearest ten thousand.\nAnswer: 40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 501 minutes before 3:16 AM?\nAnswer: 6:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 7944 divided by 3972\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -6*i - 8. Let c be r(-13). Suppose b - c = -4*b. Is 7 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 1, -2\/33, 4, 3, 23?\nAnswer: -2\/33","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 45 - -2 - (-2)\/2. Let a = 2239 + -755. Suppose 20*l - a = 916. What is the highest common divisor of m and l?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000118907887 rounded to 7 dps?\nAnswer: -0.0001189","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = 5*b**2 - 48*b - 152. Let m(q) = -q**2 - q + 1. Let s(i) = -4*m(i) - o(i). List the prime factors of s(37).\nAnswer: 19, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 23 (b) -0.2 (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = 20*t**2 + 28*t - 1055. Determine w(-8).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor h**4\/7 + 3*h**3\/7 - 4*h\/7.\nAnswer: h*(h - 1)*(h + 2)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 3322 a multiple of 151?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (8 + -4)*(-2 - -3). Suppose -2*u - t + 2 = 0, -j*u + t - 5*t = 0. Suppose 2*d + 49 = s, -2*d - 151 = -s - u*s. What is the tens digit of s?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -236, 0, -10\/13?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = 6. Let b(c) = c - 1. Let o(p) = 4*b(p) + v(p). Calculate the remainder when o(15) is divided by 21.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 401607 (base 8) in base 10?\nAnswer: 131975","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14*i**3 - i**3 - 5*i**3 + 2*i**3.\nAnswer: -18*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x + 3*d = -9, -4*x + 82 = 5*d + 151. Let c(a) be the first derivative of a**2\/2 + 2*a - 1. Give c(x).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 364 and 1834910?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = 5*y**3 - 21*y**2 + 7*y. Suppose 914*o - 871*o = 258. Let g(q) = 2*q**3 - 10*q**2 + 3*q. Give o*t(d) - 14*g(d).\nAnswer: 2*d**3 + 14*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -224 divided by 224?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (11 + (-6523)\/594)*-58 and 97\/30?\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from fbxx. Give prob of sequence fbx.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 463 (base 15) in base 14?\nAnswer: 50d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-36)\/(-10) + (-6)\/10. Suppose 5*d = b*d. Which is bigger: -2 or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -3854, -6839, -9818, -12791, -15758, -18719?\n\"Answer: 3*j**2 - 2994*j - 863","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 36 + 1?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -9 - -9.1. Let r = 0.2361 + 0.1639. Let d = 11\/76 - -2\/19. Which is the biggest value? (a) i (b) r (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 4 - 3. Let l = -25 - -20. Put w, -4, l in descending order.\nAnswer: w, -4, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 361\/((-72200)\/8400)*((-2)\/10)\/((-8)\/(-20)).\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -351480 by 14645.\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 70 divide 1818029?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) be the third derivative of u**6\/60 - 17*u**5\/30 - u**4\/24 + 35*u**3\/6 + 21*u**2. Let v be h(17). Calculate the greatest common factor of v and 153.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 681 + -677. What is the biggest value in 3\/4, i, 1\/2, -4\/19?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 + -38 + -53 + 132 + -6 + 0\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = p. Let d(n) = -3*n + 31. Determine -d(u) - 6*s(u).\nAnswer: -3*u - 31","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 98 and 70?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 21211 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 2, m: 3}. Give prob of picking 1 m and 2 f.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -n + 6. Let d be b(4). Suppose -2*p + 5*p - 12 = -3*w, -4*w - d*p + 24 = 0. Find the common denominator of 16 and (-4)\/w*82\/(-8).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -26 (base 11) in base 12?\nAnswer: -24","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 198310 + -991544\/5. Factor 2\/5*a**4 + 2\/5*a + 4\/5 - 2\/5*a**3 - h*a**2.\nAnswer: 2*(a - 2)*(a - 1)*(a + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) be the second derivative of -w**9\/1008 - w**5\/30 + w**3\/3 + 4*w. Let u(j) be the second derivative of f(j). Find the second derivative of u(v) wrt v.\nAnswer: -60*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(-5*-2*sqrt(162)*-3)\/(sqrt(6) + (sqrt(24)*-1)\/sqrt(4) + sqrt(54)\/sqrt(144)))**2.\nAnswer: 13996800","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (44\/330*(-5)\/(-2))\/(11\/(-561))\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -136*i - 662. Let x be u(-4). Sort x, 5, -5.\nAnswer: x, -5, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1025.2*0.2\nAnswer: -205.04","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 839997276?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 164827656, 164827650, 164827640, 164827626, 164827608?\nAnswer: 164827586","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -85*w = -86*w - 5*q + 19, 0 = -2*w - q + 2 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 46 (b) 3869397 (c) 4\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 121775 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: Multiply 6 and -0.019.\nAnswer: -0.114","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 185902972 to the power of 1\/2, to the nearest integer?\nAnswer: 13635","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -a**2 - 9*a - 7. Let u be d(-14). Let i = -63 - u. Solve 3*y - i = -4*t, 0*y = -2*y + 3*t - 19 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:24 PM and 9:24 PM?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 2e (base 16) in base 2?\nAnswer: 101110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k*k\/(k**(-2\/9)*k)*k**17)\/((k*k**14)\/(k**(-4\/9)*k)))**40 assuming k is positive.\nAnswer: k**(1360\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 7 and 5593?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.3 and -48.2.\nAnswer: -47.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 8100.633 micrograms?\nAnswer: 0.008100633","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nzf when three letters picked without replacement from {f: 5, n: 4, z: 7}.\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 494?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = j. Let q(r) be the third derivative of 11*r**4\/24 + 31*r**3\/3 + 6*r**2 - r - 19. Determine q(z(k)).\nAnswer: 11*k + 62","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 278*p + 78 = 252*p for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 67 a factor of 11256?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from bbflbefbfgel. Give prob of sequence eelg.\nAnswer: 1\/2970","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 143\/2580 and 115\/647064.\nAnswer: 3235320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 0.93 times 199216\nAnswer: 185270.88","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 882 and 686?\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + 0 + 0 + -4 + -1.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*j = -27*j + 70 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = 6*i + 226. Let n be h(-14). Suppose 149*z = n*z. Sort 11, z, -3.\nAnswer: -3, z, 11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-1\/9)\/(x**(-32)\/x))**37 assuming x is positive.\nAnswer: x**(10952\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4875941.\nAnswer: 7, 151, 659","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -51 - -50. Let r be 10 + -1 + 1\/z + -2. Solve 0 = 4*b - 2*b - r for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4 - 0)\/(-30 + 4).\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -10*l - 290. Let u be x(-27). Does 4 divide -2 - -159 - u\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 130 - -1103?\nAnswer: 1233","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 162812 - 179744407\/1104. Calculate the common denominator of q and 13\/1035.\nAnswer: 16560","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.019 - 68.019. Let j = 67.9931 + o. What is j rounded to three decimal places?\nAnswer: -0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 246422 is divided by 619.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: What is the product of -12659 and -0.3?\nAnswer: 3797.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 47472748 is divided by 45.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 2739440497 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n = 2*q + 6, -4*n + 3*n - q = 6. Let u be ((3 - 0) + -5)\/n. Is (u + 0)*(-408)\/(-8) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -g**4 + 0*g**4 + 3*g**4 + (3*g - 5*g + g)*(3*g**2 + 2*g**3 - 3*g**2) - 2 - 4*g**4 + 2 in the form c*g**4 + p*g**3 + d + x*g**2 + v*g and give c.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 218664 to the power of 1\/3, to the nearest integer?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 smaller than -1\/2165781238?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) be the first derivative of 4*a**3\/3 + 66*a**2 - 858. Factor h(v).\nAnswer: 4*v*(v + 33)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 79\/9126 and -19\/1894347?\nAnswer: 49253022","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w - 20 = -4*x, x - 3 - 2 = 2*w. Let z(t) be the first derivative of 1\/2*t + 1\/4*t**4 - 1\/10*t**x + 2 - 1\/2*t**2 + 0*t**3. Factor z(r).\nAnswer: -(r - 1)**3*(r + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -5*n**6*s + 41842*n**4*s + 3*n**2 + 11*n*s + 1131*n + s + 3 wrt n?\nAnswer: -600*n**3*s + 1004208*n*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3*18\/27*-2.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 414*q - 423*q - 63 for q.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1039, -1665, -3303, -6457, -11631?\nAnswer: -19329","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -60*((-1)\/(6\/6))\/(-1). Let z be (-36)\/q - 54\/(-10). Solve 0 = 6*d - 12 + z for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -957, -1827, -2701, -3579, -4461, -5347?\n\"Answer: -2*m**2 - 864*m - 91","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -7 - 3. Let q = -7 - t. Solve -q*z = -4*z + 4 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/6 of a minute in milliseconds?\nAnswer: 10000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -44681 + -181?\nAnswer: -44862","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*o - 4*o + 4*v - 24 = 0, 40 = 5*o + 4*v for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 302*i - 6*u = 299*i - 738, -i - 4*u = -504 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Work out -4350314930393 - -0.5.\nAnswer: -4350314930392.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3099\/10 + 310. Let b(t) be the second derivative of 0 - 1\/30*t**6 - h*t**5 + 6*t + 0*t**4 + 1\/3*t**3 + 1\/2*t**2. Factor b(m).\nAnswer: -(m - 1)*(m + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 357929?\nAnswer: 11, 13, 2503","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -26328297.6406444 + 2?\nAnswer: -26328295.6406444","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(100)*-1*5)\/(sqrt(8)\/(4*sqrt(16)\/sqrt(4))).\nAnswer: -100*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (12\/36)\/((-2)\/(-6)). Suppose -3*f + 11 = -w, 3*k - 541 = -4*f. Suppose 0 = 5*y - 2*q + 76 - 491, -2*y + k = q. Is y prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -27352 + 27369. Solve 0 = 3*q - 3*x - 3, -4*x = q + b - 8 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -l**3 - l**2 - l - 1. Let i(u) = 6*u**3 + 5*u**2 + 5*u + 6. What is i(k) + 5*x(k)?\nAnswer: k**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1048 + -4197\/4. Let w = 2 - -5. Sort -3, j, w.\nAnswer: -3, j, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + (0 + sqrt(1872))**2 + sqrt(1872) - (-5*2*sqrt(1872))**2) + (-3*sqrt(1872) + sqrt(1872) + sqrt(1872))**2 + sqrt(104)\/(sqrt(8)*-3 + sqrt(8)).\nAnswer: -183456 + 23*sqrt(13)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 22 + 19. Suppose -4*p = -0*p - 16. Suppose p*c - 73 + 29 = 0. What is the remainder when t is divided by c?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = l**2 + 755*l - 95179. Determine j(110).\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*y - 4*n + 4, -y + 12 = 3*y + 4*n. Suppose y*v - v = 60. Suppose j - 6*j = 3*h - v, 3 = 4*j + 5*h. List the prime factors of j.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -4438\/17, 3.8, -4\/9, 1\/6, -2?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ttwgtgwawwt. Give prob of sequence wwa.\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -1191.61 to the nearest one hundred.\nAnswer: -1200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -6\/23 (b) 1\/2 (c) 0.3 (d) 3 (e) 0 (f) 469\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 96726379 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1\/8, 0.06, -0.93?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -24 divided by 4.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -1.824 - 23405.05\nAnswer: -23406.874","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-2)\/9 + (-47)\/(-9). Let h = 19\/50 - 4249\/11050. What is the third biggest value in h, 0.1, g?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 5046 and 6786?\nAnswer: 174","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-9)\/6 + 27\/6. Solve g*k = -2*t - t - 15, 4*k - t + 20 = 0 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = a - 1. Let f(k) = k**2 + 4*k. Let c(u) = f(u) - 6*j(u). Let x be (6 + -5)\/((-42)\/24) + (-64)\/(-14). Determine c(x).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -2.5 and 7015515.\nAnswer: 7015512.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 8.2000773 rounded to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = b**3 - 4*b**2 - 5*b - 12. Suppose -5*h - o + 58 = 0, -2 = -4*h + 3*o + 33. Let s be l(h). Suppose -4*t = -512 - s. Is t a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 70\/(-6) + (-83)\/(-9) + 82\/(-369).\nAnswer: -8\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q + 4720 = 3*q. Round q to the nearest 100.\nAnswer: 2400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -9*k**4 + k**4 - 3*k**4 + (3 + 7 - 5)*(2*k**2 - 4*k**2 + k**2)*(k**2 - 4*k**2 + 7*k**2).\nAnswer: -31*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b*b*b\/(b**(-1\/2)\/b)*b)**(-12))**15*((((b\/b**(-2\/3))\/b)\/b)**(-4\/3))**24 assuming b is positive.\nAnswer: b**(-2938\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ztbbzzb. Give prob of picking 3 z.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:10 PM and 9:08 PM?\nAnswer: 538","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.08 (b) 0.04 (c) 0.02\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 74507 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1\/5)\/((-832)\/(-34) + 84\/2856).\nAnswer: 2\/245","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 + 1 + d)*((-1878 + 63*d + 1878)*(3 - 3 + 1) + 2*d - d - 3*d) to the form f*d**2 + i*d + c and give f.\nAnswer: 61","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = 2*v - 3. Suppose 0*i - 12 = -3*i. List the prime factors of o(i).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -16, -2\/15, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(36)\/(sqrt(48) + sqrt(3)))\/((sqrt(4) + sqrt(4)*2)*-2) + 4)*-5.\nAnswer: -20 + sqrt(3)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 126247385711 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 102 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -5998 - -6016. What is the least common multiple of v and 48684?\nAnswer: 146052","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-906)\/(-540) - 30\/45 and 73\/72?\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 16 and 12946.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3 - 3.2. Let z = 6696 + -40175\/6. Sort 23, x, z in descending order.\nAnswer: 23, z, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 21 - 9. Let q = -7 + c. Solve 13 = 3*k + q*b, -k + 2*b = 3 - 0 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(1\/4)\/((y\/(y*y**(-2\/31)\/y))\/y*y))\/((y\/y**(-9))\/y*y**(-6\/7)) assuming y is positive.\nAnswer: y**(-7775\/868)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = 5*p**3 - p**2 - 5*p + 3. Let r(h) = h**2 + 15*h - 21 - 6*h - 9*h**3 + 16. Calculate 5*c(w) + 3*r(w).\nAnswer: -2*w**3 - 2*w**2 + 2*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (60\/21)\/((-156)\/546)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 130587657 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 390?\nAnswer: 2, 3, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 180 = 27*u - 37*u. Let b(s) = -9*s - 159. Let p be b(u). Let d = 2 + 0. Put p, -0.08, d in descending order.\nAnswer: p, d, -0.08","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 + ((-1990)\/8)\/((-2)\/8) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 (base 7) to base 6\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 331 + -321. Suppose 0 = -5*q + 33*f - 32*f + d, q + 5*f - 28 = 0. Solve 0 = -2*h + t + 10 - q, 4*h + 1 = -3*t for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (6\/(-15))\/((-84)\/206430). Solve 953 = -6*t + d for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4468500 rounded to the nearest 100000?\nAnswer: 4500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -228.24986 rounded to the nearest ten?\nAnswer: -230","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -bc - -3?\nAnswer: -b9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand 596*r + 452*r - 68*r - 132*r + 5 - 5 + r + (2 + 1 - 1)*(-2 + 2*r + 2) - 38 + r + 38.\nAnswer: 854*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -5*m**2 + 80*m - 29. Let t(g) = -2*g**2 + 40*g - 15. Let a(i) = -3*o(i) + 5*t(i). Is a(13) a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-36)\/12)\/((-27)\/(-198)*2)\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*a**2 - a**2 + 3*a**2)*(a - 2*a + 2*a + (0 - 3 + 4)*(-2*a + 0*a + 3*a))*(217 + 318 - 172) + 29*a**2 - 29*a**2 - 5*a**3.\nAnswer: 1447*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + (sqrt(76) - (sqrt(76) + 0)) + sqrt(76) + sqrt(76))**2 + 2.\nAnswer: 8*sqrt(19) + 307","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-6771)\/(-122)*(-6)\/(3 - 2). Is j > 15?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5031*n + 5035*n = 16*z + 36, -5*z - 2*n + 5 = 0 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 38 - 38.5. Which is the closest to -4? (a) 0 (b) i (c) -0.03\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 27116 is divided by 405?\nAnswer: 386","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 59931?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 354\/(-3363) + 98\/38*-5?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -97 + 82 + (30 - 57).\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is j in -28\/13*j**2 - 16\/13*j**3 + 4\/13*j**5 + 10\/13 + 18\/13*j**4 + 12\/13*j = 0?\nAnswer: -5, -1, -1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 - (-9 - (-9 - -5))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -182795.177 rounded to the nearest 100?\nAnswer: -182800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 1497.681t?\nAnswer: 1497681","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = 6*h - 5 + 2 - 4*h - 5. Calculate the remainder when 45 is divided by r(10).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (561\/27)\/17 + -1.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 - 8 + 7 - 2*d.\nAnswer: -2*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express -7 + 5*i**3 + 3 + 0 + 5*i + 2*i**4 + i**3 - 4*i**3 - i**2 as f + g*i**4 + t*i**3 + p*i**2 + j*i and give g.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = l + 1. Let s(f) = -924*f + 7. Let v(j) = 5*s(j) - 35*x(j). Let w be v(-1). Find the common denominator of (-2)\/10*w\/(-42) and -105\/26.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 - 4) + 109 + -104?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = 5*w**3 + 3*w**2 + w. Let d(t) = 16*t**3 + 10*t**2 + 4*t. What is -3*d(m) + 10*o(m)?\nAnswer: 2*m**3 - 2*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 + (-13)\/(-12))*(-66)\/(-33).\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -101 + -131202001?\nAnswer: -131202102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = r. Let k be (0 - 2) + -2*(0 + -7). Let o(z) = 15 - k*z - 37 + 22. What is v(o(s))?\nAnswer: -12*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1055282*f**2 - 2110378*f**2 + 2*f + 1055192*f**2.\nAnswer: 96*f**2 + 2*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*z - 16 = 20. Suppose 2 = y - p, -4*y + p = -2*y - z. Solve 0 = s + v + 4 - 3, y*s - 5*v - 41 = 0 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-465)\/90 - -8) + (-16)\/(-6) + -5\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 6*13 - (-4 + 2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 6, y: 2, q: 4}. What is prob of sequence ya?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -2530330, -5060686, -7591042, -10121398, -12651754, -15182110?\n\"Answer: -2530356*w + 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -a - 23. Let t be y(-8). Let j be 3*t\/6 - 1. Is j greater than -10?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = y**3 - 16*y**2 - 66*y + 40. Let s be p(20). What is the greatest common divisor of s and 30?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 3 + (1 - (-2)\/(-2)). Let b = -144 + 147. Suppose i = -b*k + 1, 0 = k + 4*k + 5. Solve 0 = s + i*c + c + 6, -v*s + c = -14 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23601334657 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Product of 505.741 and 1.\nAnswer: 505.741","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-16)\/(-18)*(-417)\/(-278))\/((-102)\/(-27))?\nAnswer: 6\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = 2*j**3 + 72*j**2 - 76*j - 76. Let k be c(-37). Sort -13, 8, k, 11 in ascending order.\nAnswer: -13, k, 8, 11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (45\/(-60))\/(1\/(-8)*3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w - w - 34 = 0. Let g = -14 + w. Suppose -g = -5*o - 5*x, 3*x = -2*o - 0*x + 12. What is o rounded to the nearest 1000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 7\/29 in -3\/5, -0.05, -0.2?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 21702120 and 40902.\nAnswer: 2406","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-2\/5))**(-2\/25) assuming v is positive.\nAnswer: v**(4\/125)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2399496?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = o**3 + 26*o**2 + 17*o + 1. Is g(-15) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 47 + -464.188738454.\nAnswer: -417.188738454","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.353 - -0.453. What is the third smallest value in 1, 3\/5, w?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 118152?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 814342.2 nanograms?\nAnswer: 0.0000008143422","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2264, 2265, 2266, 2267, 2268?\nAnswer: 2269","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine m so that -m**2\/2 - 3*m\/2 + 2 = 0.\nAnswer: -4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 6\/(-27) + 40\/18. Suppose -l*x + 51 = x. List the prime factors of x.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 69\/2 and (-345)\/(-66) + -2 + 1.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 729114?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((0 + (1 + (sqrt(1700) - (-2 + sqrt(1700))) + sqrt(1700) - -5*(2 + sqrt(1700))) + -4)*6)**2.\nAnswer: 38880*sqrt(17) + 2206116","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -8.2 + 9. Let u be ((-42)\/(-18))\/7*-1. What is the fourth biggest value in u, w, -2, 2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h = 4, -h = g + g - 32. Suppose 0*l = 2*l - g. Suppose -89*p - 14 = -96*p. Solve -4*c = 16, l*q + 2*c = p*q - 23 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 1, m: 2, a: 2, j: 1, p: 1, g: 1}. What is prob of picking 1 p, 1 g, and 1 a?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -15 + 10. Let f = 0.42 + -0.62. Which is the closest to -1\/2? (a) f (b) -0.1 (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 59 = 9*v - 32 - 26. Solve -86 = -30*l - v*l for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3c9d95 (base 14) to base 11.\nAnswer: -1206163","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 558 and 1286283?\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 2, l: 2, y: 2, t: 1, v: 5, z: 1}. What is prob of sequence llv?\nAnswer: 5\/858","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 183764039?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = 3*v**3 - 23*v**2 + 48*v + 5. Let n be x(11). Let p = n + -5569. Round p to the nearest one hundred.\nAnswer: -3800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -30 + 18. Let b = 15 + u. Suppose -r - r + 24 = 0. Solve -2*q = -b*o + q + 9, -q = -4*o + r for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.06, -3, 41, -1, 99 in descending order.\nAnswer: 99, 41, -0.06, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:16 AM and 1:54 AM?\nAnswer: 38","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 42 - 16. Is s a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1100*b + 2081*b + 2230*b + 152024 = 507*b for b.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = 7*c**2 - 11*c. Let q be v(-8). Suppose 909 = -3*t + 4*b + 75, -q = 2*t + 4*b. Calculate the remainder when 20\/15 - t\/6 is divided by 16.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*l**2\/7 - 400098*l - 14003505\/7.\nAnswer: 3*(l - 933567)*(l + 5)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.18 - 0.48. Suppose 0 = -t - 3, -25 = -5*x + 4*t + t. Sort l, x, -0.5 in increasing order.\nAnswer: -0.5, l, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 458557.249969 + -458558. Let z = 3.75 + -3. Let n = z + p. Round n to 5 dps.\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) be the third derivative of 0*i**5 + 0*i**4 + 0 + 1\/24*i**6 - 35\/6*i**3 + 22*i - 2*i**2. Find the first derivative of t(a) wrt a.\nAnswer: 15*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -23\/355 - -5063\/13490. What is the common denominator of 18\/(-63) - (-1598)\/(-140) and c?\nAnswer: 190","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w*w**5*w**(3\/7)*w**(-3)*w**(-6\/11))**(2\/17) assuming w is positive.\nAnswer: w**(444\/1309)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 210 + -208. Suppose 2*c + 2*l = 172, -4*c - 3*l = -i*c - 173. Is c a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -175*p - 2. Let n(w) = -354*w - 3. Let m(z) = -7*d(z) + 4*n(z). Let h(o) = 2*o**2. Give h(m(b)).\nAnswer: 72962*b**2 - 1528*b + 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g + 640 = 6*g - h, -g - 4*h = -177. Suppose 110 = -7*s + 740. Let a = g - s. Is a a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 81 and 135.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -20102001 (base 4) to base 16.\nAnswer: -8481","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) be the second derivative of x**4\/6 + x**3\/6 - x**2 + x. Let r be q(-2). Suppose 0 = m - r - 1. Solve 0 = m*p + 4 + 1 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 + -1 - (4 + -4) - -18.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h - 842 = -3*i - 2*h, 0 = 3*i - 4*h - 806. Let t(b) = i - b + 278 - 562. Give t(0).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide (24730\/(-7))\/(-2) + (-24)\/(-42)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 96378096 to the power of 1\/3, to the nearest integer?\nAnswer: 458","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: Let k = -100.8 + 101. Let z = 17 - 18. Let r = -196 - -197. Which is the closest to r? (a) -2\/55 (b) z (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 171, 317, 463?\nAnswer: 609","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 34165462 (base 7) to base 3.\nAnswer: 12121010002201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(2\/5))**3\/((p*p*p\/(p\/((p*p**(12\/11))\/p)))\/(p*p*p**(-19)\/p*p*p*p)) assuming p is positive.\nAnswer: p**(-929\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = p**2 + 0*p - 4 + 0*p - 7*p. Suppose k - t - 3 = 0, -21 = -4*k - k + 3*t. Determine l(k).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -330 by -66.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1346*i**2 + 348*i.\nAnswer: -2692","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2527, 2259, 1857, 1321?\nAnswer: 651","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -65\/1804 and 50\/99.\nAnswer: 16236","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q = -5*h - 2 + 5, 5*h = -3*q + 27. Suppose -h*o + 4*c = -o + 16, 4*c + 20 = -o. Let j = 12 - o. What are the prime factors of j?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -2\/11 (b) -201 (c) -0.4 (d) 14\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15 = -2*g - 5 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2 (base 3) to base 10.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = d**2 + 8*d + 6. Let p be f(-6). Let c(t) = -3*t - 9. What are the prime factors of c(p)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 11823*-0.1\nAnswer: -1182.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = n**3 + 2*n**2 - 1. Let i be w(-3). Let c be (i\/6)\/((-3)\/36). Let x(t) = -t**3 + 7*t**2 - 5*t - 3. Let h be x(6). Solve c = -2*b - h*b for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.09 - -0.04. Let t = -0.25 + v. Which is the biggest value? (a) 1 (b) t (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 2 (b) -42 (c) -6\/7 (d) -1 (e) 0 (f) 5\/3 (g) -98\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -9*j**2 + 17*j. Let c(i) = -3*i**2 + 6*i. Let o(d) = -17*c(d) + 6*w(d). Let r(k) = -k**2. Calculate 3*o(f) - 12*r(f).\nAnswer: 3*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -32*g - 1123. Give a(-35).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 120 + 138. What are the prime factors of o?\nAnswer: 2, 3, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 19 + 28 - (92 + -29 + -35)?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10 + 12 + 4031*c**2 - 4108*c**2.\nAnswer: -77*c**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 51 + -15440?\nAnswer: -15356","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/6, 4, 2\/53 in descending order.\nAnswer: 4, 2\/53, -1\/6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*f + 46 = -2*v, -4*f + 91 + 80 = 115*v - 126*v for v.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*f**4\/3 + 25*f**3 + 115*f**2\/3 - 40*f - 80\/3 = 0.\nAnswer: -4, -1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*n - 99 + 1 = 0. Let x be (-2356)\/(-57) + n\/(-6). Solve 36*s - 6 = x*s for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) be the third derivative of -1\/330*r**5 + r**2 + 0 + 0*r + 2\/33*r**3 + 1\/132*r**4. Factor s(p).\nAnswer: -2*(p - 2)*(p + 1)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -387*f**4*s + 2*f**2*s**2 - 1175*f*s**2 - f wrt f.\nAnswer: -4644*f**2*s + 4*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = 14445*m + 216602. Give i(-15).\nAnswer: -73","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o - 24 = -3*y, y + 0*o + 2*o = 12. Suppose 2*a - y*a - 6 = -t, 2*a + 6 = -5*t. Let w = -448\/5 + 90. Are t and w unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is c in -45*c**5 - 75*c**4 + 6190*c**3 - 9480*c**2 - 165600*c + 432000 = 0?\nAnswer: -12, -6, 3, 20\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 a and 2 n when four letters picked without replacement from {n: 3, a: 17}.\nAnswer: 8\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 143?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is (-11)\/((-22)\/(-8))*(243\/12 + -7) - -6?\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-4 + 3)\/(2\/(-8)). Let u be ((-3)\/6)\/((-1)\/12). Suppose 3*b = -5*m - 24, -7*b + 5*m = -4*b - u. Sort r, 2, b in decreasing order.\nAnswer: r, 2, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from duddddudduu. What is prob of sequence du?\nAnswer: 14\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 862 a factor of 94820?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*x + 0*x + 5*x)*(2*x - 1 - x - 21)*(-1 + 1 + 1).\nAnswer: 5*x**2 - 110*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 68 + -45. Suppose 2*s - 3*u + 3 = -0, 3*s = -u + v. Let n be 14\/s - 2\/(-3). Solve 0 = n*k - 4*k - 1 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 451 - 306. What is the highest common divisor of 580 and g?\nAnswer: 145","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 434?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 1016173.69 to the nearest ten thousand.\nAnswer: 1020000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -19*r**3 + 4*r**2 - 3*r + 5. Let y(x) = 28*x**3 - 5*x**2 + 4*x - 7. Calculate -7*v(s) - 5*y(s).\nAnswer: -7*s**3 - 3*s**2 + s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -26, -29, -34, -41, -50, -61, -74?\nAnswer: -89","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 + -17 - (-525 + 492)) + -11?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 63674342.\nAnswer: 2, 3259, 9769","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 11583084?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express -46*v**3 + 91*v**3 - 47*v**3 + 59*v + 2706 - 58*v as z*v**3 + p*v**2 + f + w*v and give w.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*s - 2*s + 4 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 79035 to the nearest integer?\nAnswer: 281","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -4*p**2 + p + 2. Let q be a(-1). Suppose 0 = c + 21 - 395. What is the remainder when 79 is divided by q\/(33\/(-2)) - (-7412)\/c?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -7 in -0.4, -4, 1, 1\/4, 592, -4\/5?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in fifty-four fifths of a kilogram?\nAnswer: 10800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 12\/(-9) + (-1981)\/(-3). Let j = -440 + g. Is j a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) be the first derivative of x**5\/120 - x**3\/3 - 1. Let u(y) be the third derivative of f(y). Let g(v) = 5*v**2. Calculate u(g(c)).\nAnswer: 5*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 143512 plus -1093261663?\nAnswer: -1093118151","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 33*o**4\/5 + 1068*o**3 + 287712*o**2\/5 + 5143824*o\/5 - 944784\/5 = 0 for o.\nAnswer: -54, 2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = 115*n**2 - 21966*n + 246. Let l be c(191). Let v = 29 - 14. What is the highest common factor of v and l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 10, 4, -5, 176538, 7 in ascending order.\nAnswer: -5, 1, 4, 7, 10, 176538","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -162883489, -162883487, -162883485?\nAnswer: -162883483","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -12555, -12560, -12567, -12576?\n\"Answer: -r**2 - 2*r - 12552","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*g - 325 + 160 = -145. Let o(b) = -b**2 - 12*b - 12. Let j be o(-10). Solve -4*x - j = -k + 15, -3*x = g*k + 9 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -103634168.54102+-46\nAnswer: -103634214.54102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -299*v**3 + 115*v**3 + 92*v**3 + 101*v**3.\nAnswer: 9*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 456 minutes before 4:25 PM?\nAnswer: 8:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:56 AM and 10:45 PM?\nAnswer: 709","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3 (base 15) to base 4.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -28509\/175 - -1144\/7. What is the common denominator of n and -47?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1315 divide 48893105?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8401?\nAnswer: 31, 271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -4 - -22054760?\nAnswer: 22054755","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 215921 < 431843\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -39580 + 39559.763. Let v = 21.83 + t. Let s = -1.6 + v. What is s rounded to 3 decimal places?\nAnswer: -0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/15? (a) 2\/7 (b) 5 (c) 0.08\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -2*n**2. Let t(v) = 58*v**2 + 0 - 5 + 5. What is m(t(x))?\nAnswer: -6728*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 - 1 = 2*h. Suppose -d + 41 = 6*w - h*w, 3*d - w - 188 = 0. Let q = d + -41. What is the remainder when q is divided by 12?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -363, 4, -1, -4 in descending order.\nAnswer: 4, -1, -4, -363","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 311, 589, 867?\nAnswer: 1145","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xlj when three letters picked without replacement from {l: 2, j: 6, x: 5}.\nAnswer: 5\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -28*n**2 + 21*n**2 + 1969*n + 1489 - 2029*n wrt n.\nAnswer: -14*n - 60","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 0, -22, -42, -54, -52, -30, 18?\nAnswer: 98","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -131? (a) 4 (b) 105 (c) 0.3 (d) -3\/4 (e) 33\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4.9, -3\/8, 4, 0 in ascending order.\nAnswer: -4.9, -3\/8, 0, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.5 + 0.4. Is -4 <= o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 201202013221 (base 4) in base 6?\nAnswer: 512224441","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 16229, 19673, 25413, 33449, 43781, 56409?\n\"Answer: 1148*o**2 + 15081","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -0.07 (b) 3.8 (c) -2\/11 (d) -2 (e) 4\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-11 - (-356)\/28)\/((-6)\/(-21)).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/13? (a) 4 (b) 5\/4 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 8532.247ng?\nAnswer: 0.000000008532247","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -101000001111101010 (base 2) in base 7?\nAnswer: -1254406","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -2275*m + 22740. Give n(10).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(352)*6)\/(sqrt(4)\/(sqrt(2) + (3*sqrt(288) - sqrt(288) - sqrt(288) - sqrt(288)) + sqrt(2))).\nAnswer: -96*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_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: Let p(z) = -5*z**3 - 4*z**2 + 5*z + 7. Let w(s) = 11*s**3 + 8*s**2 - 11*s - 16. Let h(f) = -13*p(f) - 6*w(f). Let l be h(0). Solve l*m + 16 = -3*m for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w and 1 y when two letters picked without replacement from uyuyuduuw?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3814, -3374, -2936, -2500?\nAnswer: -2066","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.4 - 0.4. Let r = 388 + -388.4. What is the smallest value in t, r, 5?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -226, -437, -646, -853, -1058, -1261, -1462?\n\"Answer: y**2 - 214*y - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) be the second derivative of -49*j**4\/6 - 131*j**3\/6 - 53*j + 3. What is the second derivative of s(v) wrt v?\nAnswer: -196","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = t**3 - 1822*t**2 + 125943*t + 99760. What is v(1750)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Product of -536 and 98665.\nAnswer: -52884440","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -4647 + 4649. Let w(r) be the third derivative of 0*r + 0 + 6*r**b - 1\/12*r**5 + 29\/6*r**3 + 0*r**4. What is the derivative of w(u) wrt u?\nAnswer: -10*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -21948 + 15?\nAnswer: -21933","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = h**2 + 15*h - 34. Let c be a(-19). Let l be -2 - (6\/9 - c\/9). Let j(n) = 9*n - 3 - n**3 + 11*n - 17*n + 3*n**l. Give j(2).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 - (129\/21*-1 - -3)?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2054 is divided by 17.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:38 AM and 3:44 AM?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 4*t**5 - 58797*t**4 + 5*t**3 + t**2 + 28435469 wrt t?\nAnswer: 240*t**2 - 1411128*t + 30","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 6742.82575808 and 0?\nAnswer: 6742.82575808","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i and 2 v when three letters picked without replacement from {i: 1, s: 4, x: 9, v: 2}?\nAnswer: 1\/560","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.56370887 take away 1807012?\nAnswer: -1807012.56370887","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = 93*h. Let n(s) be the first derivative of -2*s**3\/3 - 259. Determine y(n(v)).\nAnswer: -186*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*sqrt(171)*-1)\/((sqrt(9) - (sqrt(144) - sqrt(144)*3) - sqrt(9)) + sqrt(9)).\nAnswer: -sqrt(19)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -13\/3?\nAnswer: -13\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1 by 2751.\nAnswer: 1\/2751","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00837 rounded to 3 dps?\nAnswer: 0.008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.001714 rounded to 4 decimal places?\nAnswer: 0.0017","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 a factor of 179147?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.4 and -33634536?\nAnswer: 33634536.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f*f**10)\/(f\/f**10*f*f))\/(f*f\/(f**(-1\/5)*f)*f*f**(-2\/5)) assuming f is positive.\nAnswer: f**(81\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) be the second derivative of 17*p**4\/3 - 136*p**3\/3 + 3*p**2\/2 + 26*p - 12. Find the second derivative of v(y) wrt y.\nAnswer: 136","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1745.3549 to 0 decimal places.\nAnswer: -1745","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u\/u**(-1))\/u**(-2\/3))\/(u\/(u*u**(2\/7)*u))**(10\/3) assuming u is positive.\nAnswer: u**(146\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -5*j**3 - j**2. Let z be m(-1). Let h = -160 - -162. Suppose 12*b = 22 + h. Put b, z, 1 in decreasing order.\nAnswer: z, b, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 514119 a multiple of 69?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -9*-3*(-5)\/(-45). Let x be q - 6\/4*(-16)\/12. Suppose -10 + 2 = 4*z. Put z, -15, x in descending order.\nAnswer: x, z, -15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.07449251499 to five dps.\nAnswer: 0.07449","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2.064 + -0.064. What is the third biggest value in 0, t, 16?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-512)\/(-44) - 52\/(-143). Solve 4*q + c = -8 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 0, -1, 1, 1786 in decreasing order.\nAnswer: 1786, 3, 1, 0, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) be the second derivative of -56*h**4\/3 - 127*h**3\/3 - 567*h. What is the second derivative of l(k) wrt k?\nAnswer: -448","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = p**2 + 3*p - 9. Let q = 3 - 1. Let t(x) = 5*x**2 + 15 + 9*x - 29 + 5*x - 32. Let f(n) = q*t(n) - 11*h(n). What is f(-5)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -11, -246, -887, -2138, -4203, -7286, -11591, -17322?\nAnswer: -24683","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 19, 0, -2, 3, -1, 803, 5 in ascending order.\nAnswer: -2, -1, 0, 3, 5, 19, 803","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(-3 + 2 + (sqrt(132) - sqrt(132)*-2*1)\/((2*sqrt(36))\/sqrt(3))))**2.\nAnswer: -108*sqrt(11) + 927","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -213*w + 72*w - 57*w**2 + 256*w**2 + 58*w + 83*w.\nAnswer: 199*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3 - 1. Let q = 2428.5 - 2428. Put i, -2\/23, q in ascending order.\nAnswer: -2\/23, q, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 8921\/20 + -887\/2. Find the common denominator of -93\/22 and f.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = 3*a - 3. Let s be d(2). Let q(f) = -10 + 4934*f**3 + 11782*f**3 + f + 5369*f**s + 4*f. Let t be q(9). Round t to the nearest one million.\nAnswer: 16000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1648\/11 - -150. Let g = -695.8 - -696. Which is the closest to -0.2? (a) 1\/6 (b) g (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) be the first derivative of -101*q**4\/2 + 9*q**2\/2 + 9*q - 49. Find the second derivative of a(t) wrt t.\nAnswer: -1212*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (40 + 2)*(-10)\/(-15) a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 98, 196, 294, 392?\nAnswer: 490","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1773*r**2 + 1677*r**2 - 4484*r**2 + 1563*r**2.\nAnswer: 529*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 903*f + 215*f - 17992 + 116376 = 0 for f.\nAnswer: -88","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 99909115 a multiple of 131?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 7 - 7. Suppose 8*u - 12 = 4*u + 3*l, 4*l = b. Solve 0 = u*a - 8*a - 25 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 52813760.1 rounded to the nearest 1000?\nAnswer: 52814000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -563*c - 2. Let m(q) = 2*q. What is a(m(u))?\nAnswer: -1126*u - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 3 - (-10 + (2 - 2)). Calculate the highest common divisor of h and 117.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m + 4*u = -62, -4*m + 2*u = -19 - 67. Let f be m\/(5 + -1 + -2). Suppose f - 71 = -4*z. What is the tens digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 44422, 81926, 119430, 156934, 194438?\n\"Answer: 37504*l + 6918","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 14065000 rounded to the nearest one hundred thousand?\nAnswer: 14100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((189\/24)\/7)\/((-6)\/(-4))?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -9.1 - 2.9. Let t = -7 - z. Is t smaller than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 49 = 4*q + 5*y, -q - 4*y + y + 7 = 0. Let k(a) = -a**3 + 5*a**2 - 1. Let u be k(5). Put 5, u, q in ascending order.\nAnswer: u, 5, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -699 + 702. Let v(l) = -l + 4. Let u be v(-4). Let j = -1 + 0.9. What is the nearest to t in -3, u, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = 28*g**3 - g**2 + g. Suppose -a + 8 = -0*a - 2*y, 5*a - 88 = -2*y. Suppose -a*n = -13*n - 3. What is the tens digit of t(n)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -106 - -178. Let a(g) = -g**2 - 109*g - 613. Let d be a(-6). Is j\/30 - 2 - (-2553)\/d prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1272 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = 20 - 24 - i + 7. Let a(j) = -j**2. Calculate c(a(t)).\nAnswer: t**2 + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 789828 and 267.\nAnswer: 70294692","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6*b**2 + 13*b**2 - 2*b**2 + (9*b - 18*b - 12*b)*(-3*b + 0*b + b) to o + y*b**2 + p*b and give o.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -372*u - 1202 = -4970 - 2928 for u.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = 4*c**2 + 2*c - 8. Let i be (-2 - 1) + 6 + 5. Let s(u) = -u**2 - u + 1. Let z(y) = i*s(y) + o(y). Find the second derivative of z(m) wrt m.\nAnswer: -8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:06 AM and 11:45 AM?\nAnswer: 279","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -4 + 49\/13 - 4242\/(-1313)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Determine f so that f**2 - 10996950*f - 65981736 = 0.\nAnswer: -6, 10996956","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 31\/5 of a meter?\nAnswer: 620","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 16845.\nAnswer: 3, 5, 1123","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 593 or 592?\nAnswer: 592","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*k + 10*r = 7*r - 20, -5*k + 32 = -3*r for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 514 divide 9252?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.2 + 11101.\nAnswer: 11100.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) be the second derivative of 0*g**5 + 1\/15*g**6 + 0 + 0*g**2 + 0*g**4 + 2*g + 1\/3*g**3. What is the second derivative of c(t) wrt t?\nAnswer: 24*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -2*g - 11. Let k be m(-5). Let v be k\/(-2)*(5 + 1). Calculate the greatest common factor of 2 and v.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(sqrt(49)\/(-1*sqrt(7)) - (sqrt(7) + 4*(sqrt(7) - sqrt(7)*-2) + sqrt(7))) + (sqrt(168)*-3)\/(sqrt(96) - sqrt(96)*-1))**2.\nAnswer: 393183\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p = -35 - 181. Is -54 bigger than p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r - 9 = -2*m, 5*m - 5*r - 8 - 17 = 0. Let c = m - 129. Let g = 1582 + c. Is g prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -8 + 15. Let d(p) = p**2 - 5*p - 7. Calculate d(j).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 523148?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = d - 0*d, -36799996 = 2*h + 4*d. Round h to the nearest one million.\nAnswer: -18000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 311345 < 83?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7007.\nAnswer: 7, 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-18)\/15 - 0)\/(3\/(-10)). Suppose -q = -3, -j*u + 4*q + 13996 - 2672 = 0. Let v = u - -525. Is v a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -37*u + 2. Let z(p) be the first derivative of 2*p**3 + 26. Determine z(i(o)).\nAnswer: 8214*o**2 - 888*o + 24","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 96154?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -o**3 + 3*o**2 + o - 2. Let z be c(3). Let k = -16 - -3. Let g = z - k. Calculate the remainder when 25 is divided by g.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 103*l - 280 = 1677 for l.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 3*f**4*v - 1235960*f**3*v**2 - 2420*v**2 - 494 wrt f?\nAnswer: 12*f**3*v - 3707880*f**2*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9.238802 days to microseconds.\nAnswer: 798232492800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -g**3 - 8648*g**2 + 7280332*g - 1464806896.\nAnswer: -(g - 394)**2*(g + 9436)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h - 6*u + u = 80, -h + 12 = u. Calculate the remainder when h is divided by 5.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -24 + 146. Let o = 29 + d. What is the tens digit of o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -v**3 - 10*v**2 - 11*v - 5. Determine a(-9).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1049761966?\nAnswer: 2, 11, 151, 316003","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-4)\/(-34))\/(252\/2142).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 505 minutes after 2:21 PM?\nAnswer: 10:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -220*u + 17*u + 403*u = -388*u + 13524 for u.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = 39*y**2 - 4*y - 3. What is the remainder when d(-2) is divided by 27?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor x**2\/5 - 225856*x\/5 - 8358041\/5.\nAnswer: (x - 225893)*(x + 37)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1612 - 1674. Which is greater: 5 or n?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1153 - 1046. Solve 0 = d + 110 - t for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 889064.\nAnswer: 2, 11, 10103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -3 + 0*t - t**3 + t + 6. Let m be ((-18)\/(-8))\/((-27)\/36). Is h(m) even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v = 2*d - 1, v + 8 = 3*v - 2*d. Calculate the highest common factor of v and 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000034352 rounded to five decimal places?\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 12184, 11, 1013 in decreasing order.\nAnswer: 12184, 1013, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 18094 and 6474?\nAnswer: 166","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 4\/(32\/134) - 6\/8. Calculate the greatest common factor of 40 and j.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 208.9 - 206. Let w = y - 2.6. What is the nearest to -3\/2 in w, 0.1, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 4*c**3*g*m**3 - c**3*m*s - c**2*g*m*s - 2*c**2*s - 11*g*m**3*s + 5*g*m**2*s wrt m?\nAnswer: 24*c**3*g - 66*g*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -23.3419955207 + 23.342. What is s rounded to six dps?\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.1198599 and -5.\nAnswer: -5.1198599","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 2, 0, -2145, 3 in descending order.\nAnswer: 3, 2, 1, 0, -2145","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -2*k**3 + k**2 + k. Let o be j(-1). What is the common denominator of 39\/20 and 1057\/420 + o\/(-3)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -139\/714 and 56\/52245?\nAnswer: 12434310","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2.0369 - -0.0369. Which is the nearest to 2\/9? (a) -2\/9 (b) l (c) 0.2 (d) -0.07\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 142\/6 - (-4 + 11\/3). What is the highest common factor of v and 132?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -38859 divided by 2\nAnswer: -38859\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xx when two letters picked without replacement from {x: 3, c: 3}.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -b - 5 + 3 = -5*o + 3 - 25, -3*b = 5*o for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is five eighths of a tonne in kilograms?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -459656, -919318, -1378990, -1838678, -2298388, -2758126, -3217898?\n\"Answer: -a**3 + a**2 - 459658*a + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 14143 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 500408?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Determine o, given that 95*o**3 + 26215*o**2 - 671850*o + 4095000 = 0.\nAnswer: -300, 210\/19, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1625?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = 2*l - 11. Let k be o(6). Let h be (-8)\/(-12) - (-1 + k). Let s = 179\/4 - 46. Sort h, -4, s in descending order.\nAnswer: h, s, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (17 - 3) + -11 + 11 + (6 - 6)\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00422205 to four dps.\nAnswer: 0.0042","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:13 AM and 11:23 AM?\nAnswer: 670","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1298, -1309, -1322, -1337, -1354, -1373, -1394?\nAnswer: -1417","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, 35, -1, 4, -5, -11, -2 in decreasing order.\nAnswer: 35, 4, -1, -2, -5, -6, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 141304 + 0*u**3 - 141468 + 4*u**3.\nAnswer: 4*u**3 - 164","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 6 - 4. Suppose -2*m - w*x = -5*x + 109, -m = -5*x + 72. Let r = -26 - m. Solve -3*k = 2*l - 4*l - r, l + 3 = 0 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (36 - 29) + 0 + -8?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 800944911 to the power of 1\/3, to the nearest integer?\nAnswer: 929","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1743 is divided by 109.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -c - 3*k, 59 - 9 = 4*c + 2*k. Let g = 17 - c. Calculate the remainder when 6 is divided by g.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) be the first derivative of -2*p**3\/3 + 29. Let r(v) = -v**3 + 3*v**2. Give 4*c(x) + 3*r(x).\nAnswer: -3*x**3 + x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express (-7*b - 8*b + 12*b)*(-b - 3*b - b - 7 - 30*b + 7 - 2*b + 4*b - 4*b + (-5 + 4 + 2)*(b + 0*b + 0*b) - 4*b + 2*b + 0*b) as v*b**2 + u*b + y and give y.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 6c02 - 18?\nAnswer: 6bb7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-14)\/76)\/7)\/((-22)\/(-1056)*-8*-1).\nAnswer: -3\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 5, l: 5}. Give prob of picking 2 l.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -8*r**2 - 4*r - 6. Let z(l) = 3*l**2 + l + 2. Let j(s) = -4*y(s) - 11*z(s). Let f be j(3). Solve -4*u = -6*u + f for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 45 - 22. Solve y + 4*q - 7 = 0, -3*y + q + 5 - o = 0 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 2 (b) -5 (c) 58 (d) -0.5 (e) 2\/259\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*i - i - 15. Suppose 0 = -u + i, -2*v + 2*u - 24 = -5*v. Let r(q) = -6 - q + 12 - v. Let x(w) = 7*w - 2. Calculate -5*r(m) - x(m).\nAnswer: -2*m + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 34197660, 68395323, 102592986?\nAnswer: 136790649","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1\/4, -3, 3\/64?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/(-12)*(-11)\/22*-4?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 - (1 + -3 + -2) - 6.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 529*i**3*v**3 + 4675*i**3*v**2 + 139*i**2*v**4 - i*v**2 + 1 wrt v?\nAnswer: 3174*i**3 + 3336*i**2*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (1 + 1)*(44 - -35). Let b be j\/(-437)*5 + (-104)\/1196. Do -2 and b have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(63)\/((sqrt(18)*1)\/sqrt(6)))\/(sqrt(27) + sqrt(972)*-2 - sqrt(27)).\nAnswer: -sqrt(7)\/36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = 6*f**2. Let u(x) be the third derivative of 193*x**5\/60 + 804*x**2. What is v(u(g))?\nAnswer: 223494*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w + 5*l - 3 = 0, 5*w - 8*w - 5*l + 27 = 0. Let s be ((-109)\/w)\/(1\/(-4)). Suppose -s - 35 = -4*h. Is h a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -6843 - -6843. Put n, -298, 2 in ascending order.\nAnswer: -298, n, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 0.5, -305, 5.\nAnswer: -305, 0.5, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 5242334359 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -182 = 1451*h - 1465*h. Let r = 20 - -56. Suppose -h*b = -11*b - r. What is the remainder when b is divided by 21?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2 = -11*v - 46 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*b + 883 - 172 = 0. Let f = 179 - b. What is the hundreds digit of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 6, -13, -53 in ascending order.\nAnswer: -53, -13, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 2 + -11 + 5 + 6 + -3\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.082? (a) 6 (b) 0.1 (c) -17 (d) -1\/145 (e) -2\/9 (f) 1\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = 11*t + 182. Let l be m(-16). Suppose 3*k = 9*p - l*p + 975, -2*k = -p - 655. Is k a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = 32*u**2 - 2*u - 209. Let l(j) = 31*j**2 - 2*j - 208. Let w(p) = 3*l(p) - 2*t(p). Differentiate w(b) with respect to b.\nAnswer: 58*b - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (650*a - 1309*a + 50 + 634*a)*(-a**2 + 0*a**2 - a**2) to b*a**2 + w + u*a**3 + j*a and give b.\nAnswer: -100","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**(-9))**(-10)*v\/v**12*v\/v**4*v*v)**(3\/17) assuming v is positive.\nAnswer: v**(234\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -2*p**2 - 159*p + 41713. What is the hundreds digit of w(0)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 470 minutes after 1:55 AM?\nAnswer: 9:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = v**2 + 8*v - 5. Let c be d(-9). Suppose 2*y + c + 14 = 0. Let r(k) = k**2 + 5*k + 12. What is the tens digit of r(y)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1\/7, 0.052, 0.2, -1\/6, 0, 27\/7?\nAnswer: 0.052","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 6\/(-4)*-18 - -302536 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-20)\/15*(-4)\/(-9)*4482\/1328?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -2*l**2. Let s(m) be the third derivative of 16*m**2 + 0*m**4 + 0 + 0*m**3 - 2\/5*m**5 + 0*m. What is v(s(z))?\nAnswer: -1152*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 122223 - -33451. Let m = b + -155675.999993. Let o = 2 + m. Round o to five decimal places.\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -110 = -2*i + 212. List the prime factors of i.\nAnswer: 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 1014, -4, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express (4*x - 4*x - 2 - 3*x)*(-4 + 1 + 1)*(-5 + 6 - 2) as s + v*x and give v.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: (-1*9*-2)\/(12\/6)\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = d**3 - 5*d**2 - 6*d. Let m be g(6). Suppose 4*o - 271 = 61. Suppose m = 4*f - 125 - o. Calculate the remainder when f is divided by 18.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2132 or 2135?\nAnswer: 2132","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2*2\/(-4) + 0 + 1635.\nAnswer: 2, 19, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 10*(-1 + (4 - 7)). Let z = v - -42. Suppose -64 = -6*a + z*a. What is the tens digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (879*p**4 - 546*p**4 + 879*p**4)*(1 + p - 1).\nAnswer: 1212*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 6685 to the power of 1\/2, to the nearest integer?\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -5*x**2 - 5*x. Let o(b) = -b**2 - 10*b - 4. Let r be o(-10). Let a(j) = 5*j**2 + 4*j. Determine r*u(p) - 5*a(p).\nAnswer: -5*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 228 and 171.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) be the second derivative of 32*u**4\/3 - 5*u**3\/6 - 183*u. What is the second derivative of c(v) wrt v?\nAnswer: 256","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 32626 > 32456?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 37\/2 of a microgram?\nAnswer: 18500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*b - 10 = -22 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 834, 1704, 2594, 3504, 4434, 5384?\nAnswer: 6354","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(-3 + -2*(-1*sqrt(187)*-1)\/(sqrt(275) - (sqrt(275) - sqrt(275)*1))*5).\nAnswer: 18 + 12*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 6\/5 of a millisecond?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 138979 rounded to the nearest 10000?\nAnswer: 140000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (2 - (-2775)\/27) + 9*2\/81 is divided by 19.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: Factor -4*z**3 - 1344*z**2 - 2660*z + 4008.\nAnswer: -4*(z - 1)*(z + 3)*(z + 334)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 306256566?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a + 5*c - 3 + 13 = 0, -3*a + 19 = -4*c. Suppose -a*z + p + 12 = 0, -2*z + p + 5 = 2. Find the second derivative of -2*h**z - 3*h + h + 3*h wrt h.\nAnswer: -12*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/14)\/(90\/70).\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -315, 1574, -4, 0, 10, -2 in ascending order.\nAnswer: -315, -4, -3, -2, 0, 10, 1574","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 5723606?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = 3*d + 7. Let w = d - -2. Suppose 0*l + 2*l - 46 = w. List the prime factors of l.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-1 - -2 - 2) + 31 is divided by 11.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or -8\/94795345?\nAnswer: -8\/94795345","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide -19338372 by 5228.\nAnswer: -3699","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 6 - 2. Let j be (-16)\/(-2) + (-30)\/10. Let b = -0.3 - -0.6. What is the biggest value in b, p, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (32 - 8 + 98)*(1 + 2 + 0)*(17*w**5 - 4*w**5 + 2*w**5 + w).\nAnswer: 5490*w**5 + 366*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Product of -130 and 2523275.\nAnswer: -328025750","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -41*z + 61 - 51 - 16*z**3 + z**4 + 36*z**2 + z**4 + 9*z = 0. What is z?\nAnswer: 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 234765 is divided by 78255?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 1974?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -9? (a) -0.11 (b) 8 (c) 13 (d) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -35*(-6*4\/140)\/((-69)\/20700*-45)?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: ((-800)\/12)\/(-10)*5\/25\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 204, -14\/3, 5, 2, -1\/3, -2, -0.063?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 + 5 + 0)*(11 + 24 + 15)*(0 - 4 - 5)*(4*j**4 + j**4 - 2*j**4) as x*j**4 + i*j**3 + w*j**2 + p + o*j and give x.\nAnswer: -2700","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 114 - 112. Solve -2*u = k*u + 4 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 8580662?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = u**2 - 42*u + 37. Let l be g(9). Let k = l + 2342\/9. Solve 0 + 0*t - k*t**4 - 4\/9*t**2 - 2\/3*t**3 = 0.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 28817165?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 317\/2 - 158. What is the nearest to d in -2, 0.3, -0.5?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = 8*a**2. Let p(o) be the first derivative of 0*o**2 + 0*o + 238 - 22\/3*o**3. What is p(i(x))?\nAnswer: -1408*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 212967 + -212975. Let f(i) = 3*i**3 + 7*i**2 - 2*i**3 - 6*i - i. Determine f(m).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 18 + -31. Let n = f - -18. Put n, 0.2, -0.4 in descending order.\nAnswer: n, 0.2, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -359 + 203. Let o = -108 - h. Suppose 2*g + o = 5*g. Calculate the highest common factor of g and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -6.1185 and 6085?\nAnswer: -37231.0725","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = 3*t**2 + 4. Let q(b) = -5876*b**2. Give m(q(c)).\nAnswer: 103582128*c**4 + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p + 5*i = 20, -2*i + i + 4 = -4*p. Let x(h) = -h - 2. Let o be x(-5). What is the second derivative of p*b**3 + 3*b - 5*b**3 + 3*b**o wrt b?\nAnswer: -12*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -280\/17 < -15?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 181 a factor of 421770?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1265, 1280, 1321, 1400, 1529, 1720?\nAnswer: 1985","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -113228, -226523, -339882, -453305, -566792?\nAnswer: -680343","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 2.1, 1\/4, -11, -0.02, -2, 0.4?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -i + 8. Let v be j(0). Let g = -38 - -93. Suppose -3*m - g = -v*m. Is m prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 79 + -8. Is f a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x = -3*f + 363, -105*x = -106*x - 3. Calculate the remainder when f is divided by 15.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 123 minutes after 8:44 AM?\nAnswer: 10:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -1 + -71?\nAnswer: -72","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 1, w: 2, j: 1, h: 1, c: 1, t: 1}. Give prob of picking 2 w and 1 h.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w - 28 = 24. Let b be 8 - (w - 5 - 4). Solve -1 = -5*i - 2*s - 6, -3*i - b*s + 11 = 0 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 + 9 - -11 - (-78 + 37)?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = 20*r**2 - r + 1. Let z be d(1). Suppose 2*p - 7*p = -z. Let h = 9 + -4. Put p, h, 1 in increasing order.\nAnswer: 1, p, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 43 + -21. Suppose 25*x - m*x - 192 = 0. Is x a multiple of 32?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.16269 - 83.16269. What is the closest to -1 in u, -1, 11?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000000762895 rounded to 7 dps?\nAnswer: 0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x - 87 = -4*m, -m - 18 = -21. What is the units digit of (-5)\/x*0 - (-545 + 4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 33 and 1903?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) -0.1 (b) 0.6 (c) -1\/11 (d) -1\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(1\/9)*i**2)\/(i**(2\/15)\/(i\/i**(-8)*i)) assuming i is positive.\nAnswer: i**(539\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -i**3 + 4*i**3 - 2*i**3 + (5 + 4*i**2 - 5)*(-i + 3*i + i) to the form c*i**2 + q*i + u + w*i**3 and give w.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -110529*l**3 - 8 + l**2 - 13*l + 110074*l**3 - l**2 wrt l.\nAnswer: -2730*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1 + 7. Suppose -2*v + 4 = -0. What are the prime factors of 1\/v + 15\/y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + 798 = 4*n, 5*n - 486 - 520 = 3*q. What is the remainder when n is divided by 23?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1167 + 599. Let b = m + 571. Factor -1\/5*d**2 + 1\/5 - 1\/5*d**b + 1\/5*d.\nAnswer: -(d - 1)*(d + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3592 and 1464.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) be the third derivative of z**6\/140 + 17*z**5\/105 - 25*z**4\/84 - 4*z**3\/7 - z**2 + 19. Let p(s) = 0. Calculate s.\nAnswer: -12, -1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2.91 - 2.8. Let x = 6.89 + q. Let r be 135\/252 + -2 + (-21)\/(-12). Sort x, r, 0.5.\nAnswer: r, 0.5, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*o**3 + 3750518*o**2 - 586103761760*o + 1367555024696 = 0. Calculate o.\nAnswer: 7\/3, 312542","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hhhohohooh. What is prob of sequence hohh?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*g - 20 = -4*x - 0*g, 5*x + 3*g = 22 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1129 * 2.\nAnswer: 2258","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -305 - -441. Let o = y + -104. Let k = 40 - o. Solve 3 = -m + k for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3138882*u**2 + 375*u**3 + 1 + 3138880*u**2 - 1.\nAnswer: 375*u**3 - 2*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is sixty-seven fifths of a second in milliseconds?\nAnswer: 13400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (7 - 3)\/2 + 2. Let f = 0.07 - 3.07. Let u = f + 2.8. What is the second smallest value in u, r, -2\/15?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33*t - 7225 = -42337. What is the thousands digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*u + 5*y + 4, 5*u - 5*y - 40 = -4*y for u.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1056880 is divided by 85?\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 59666 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(931) - (-1*sqrt(931) - sqrt(931))) + 4)*-6 + -1)*4.\nAnswer: -504*sqrt(19) - 100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 17028551 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -981 - 393 = -128*o + 1186 for o.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 12.1 + -12. Let q = -12 + 12.2. Which is the closest to -0.1? (a) 1.9 (b) q (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -471211968 divided by 7362687?\nAnswer: -64","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 591 minutes before 9:26 AM?\nAnswer: 11:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 9.4 - 8.97. Let t = 0.42896 - u. What is t rounded to four decimal places?\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 48970387 to the nearest integer?\nAnswer: 366","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -3*j - 6. Let y(o) = 2*o**2 + 17*o - 3. Let l be y(-9). Let k(f) = -f - 2. Determine l*g(v) - 17*k(v).\nAnswer: -v - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 921311699 is divided by 5134?\nAnswer: 5131","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -44.2 - -19.1. Let c = -25 - v. Which is smaller: c or 16?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2792 - -2851. What is the remainder when 533 is divided by s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w\/(w\/(w**(-7)\/w)*w)*w**(-2\/55)*((w**8*w)\/w)\/(w*w*w\/(w\/w**4)*w*w))**(-9) assuming w is positive.\nAnswer: w**(4473\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 8212873 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -f - 3. Suppose 0*x - 32 = 3*b + 2*x, -5*b = -5*x + 45. What is the units digit of q(b)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -100100011001 (base 2) to base 13.\nAnswer: -10a2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 20300311615 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2201022 + -12?\nAnswer: 2201010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -132 + 251. Is o a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 253174023?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:35 AM and 2:36 PM?\nAnswer: 421","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*v + 8 + 20. Let m = v - -2. Let z be 1*((-8)\/(-6))\/(-4). Which is the second smallest value? (a) m (b) z (c) 2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 4 and 518.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -88248.9 to the nearest one thousand.\nAnswer: -88000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 9.943775mg in nanograms?\nAnswer: 9943775","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1\/3 or -92?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 7, k: 6}. What is prob of picking 1 u and 3 k?\nAnswer: 28\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.2 and -12740653.\nAnswer: -12740652.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((o**(-4)\/o)\/o*o)\/o)\/(o**(5\/4)*o))\/(o*(o*o**(1\/5))\/o)**(5\/8))**48 assuming o is positive.\nAnswer: o**(-432)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 26+-4287.862\nAnswer: -4261.862","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: (-10472)\/(-28798) + 324\/(-165)\nAnswer: -8\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -1.599489329*-0.4\nAnswer: 0.6397957316","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = y**2 - 7*y - 2. Let i be n(7). Are -2 and i equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.00483 - -0.40483. Let i = -0.6 - -1. Let h = 4.4 - i. What is the biggest value in t, h, -1\/2?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of -4*(-4)\/(-20) - 3158\/(-10)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from meeeemaemqmaeeemq. Give prob of sequence mqq.\nAnswer: 1\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 241456906?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -h + 188. Let v(r) = -104*r - 7. Let y be v(1). Let g = -111 - y. Is c(g) a multiple of 47?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 414 minutes before 8:36 AM?\nAnswer: 1:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*k - 3 - 0, -k = -2*h + 3. Solve -15 = 2*g - 5, 0 = -h*i - 4*g - 28 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -38*p - 47*p = 258 + 2547 for p.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -82.2*-470502\nAnswer: 38675264.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 6, k: 3, w: 3, a: 5, x: 1}. What is prob of picking 1 x and 2 r?\nAnswer: 5\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (286*q + 0 - 275*q - 3)*(2 - 1 - 3)*(-2 + 2 - q).\nAnswer: 22*q**2 - 6*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2093 or -2099?\nAnswer: -2099","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 4, a: 2, f: 4, d: 2}. What is prob of sequence zad?\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-x + 127*x**2 + 20*x**2 + 18*x**2 - x**3)*(-4*x**2 - x**2 + 2*x**2).\nAnswer: 3*x**5 - 495*x**4 + 3*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 511990?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-552)\/(4\/(-10)*(-105)\/(-147)).\nAnswer: 2, 3, 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -985102*p**3 + 4807*p**2 + 11 wrt p.\nAnswer: -5910612","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (20\/(-40))\/((-227)\/114 - -2). Let z = -63 + 150. Let q = p + z. List the prime factors of q.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -33.952558586 + -1\nAnswer: -34.952558586","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.038 and -13489.\nAnswer: -512.582","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*p**2 + 5403392*p - 5403388.\nAnswer: -4*(p - 1350847)*(p - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4137\/273 + (-55)\/(-65) + -1?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(96) + -4*sqrt(96)*-3)\/sqrt(4))\/(3*sqrt(300) + -2*sqrt(432)) + 0.\nAnswer: 13*sqrt(2)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 35250 divided by -5?\nAnswer: -7050","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 105417 and 561.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -13 + (6 - (-2 - 12)).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -156805 by -5.\nAnswer: 31361","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -11\/410 and 35\/328.\nAnswer: 1640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-b - 3 + 3*b + b)*(4 - 20 - 8).\nAnswer: -72*b + 72","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*b**3 + 216*b**2 - 596*b - 816.\nAnswer: -4*(b - 51)*(b - 4)*(b + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 172, 164, 156, 148?\n\"Answer: -8*z + 180","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 92, 111, 166, 275, 456, 727?\n\"Answer: 3*x**3 - 2*x + 91","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g and 2 z when three letters picked without replacement from {z: 2, o: 1, t: 2, x: 1, s: 2, g: 5}?\nAnswer: 5\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kvvb when four letters picked without replacement from {y: 4, k: 1, h: 2, b: 1, v: 7}.\nAnswer: 1\/780","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) be the first derivative of 1343*o**6\/6 + 1175*o**2\/2 - 3149. What is the second derivative of j(s) wrt s?\nAnswer: 26860*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 196027.\nAnswer: 13, 17, 887","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2805 - 2040. What is the smallest common multiple of 351 and x?\nAnswer: 29835","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -57477 and -57478 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 663\/4 - 165. Which is smaller: l or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 51 - 191889*m**3 + 57 - 158 + 50.\nAnswer: -191889*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -35*y + 2. Let o be j(-3). Let d = 2367 + -2448. Let r = o + d. Is 6 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -8*o + 1. Let w = 2 + -1. Let a(h) = 14*h + 5. Let p(q) = -2*q + 5 + 2 - q - 9 + 1. Let g(i) = -a(i) - 5*p(i). Determine w*r(m) + 4*g(m).\nAnswer: -4*m + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.06? (a) 2\/17 (b) -5 (c) 3\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-9)\/s)\/s*(s*s*s\/(s\/(s\/(s**(-14)\/s))))\/s assuming s is positive.\nAnswer: s**6","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(175) - ((sqrt(175) + 0)*-1 + sqrt(175)) - -2*sqrt(175)*-4)**2.\nAnswer: 8575","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 1, z: 2, k: 2, d: 1}. Give prob of sequence kzzh.\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5201 is divided by 1582?\nAnswer: 455","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 1433592981 to the nearest integer?\nAnswer: 195","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 3, l: 2, d: 2, w: 6, a: 2, b: 2}. What is prob of sequence dw?\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8*t**3 - 4*t**3 + 3*t**3)*(3*t**2 - 4*t**2 - 3*t**2) - 1 + 1 + t**5.\nAnswer: -27*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 48 and 2291432.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Product of 137 and 5.\nAnswer: 685","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 n when four letters picked without replacement from yynnnnn?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7622399 is divided by 33.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-2)\/(-9) - -3 - 3. Let y(u) = 2*u - 10. Let t be y(6). Solve -2\/9 - 4\/9*f - k*f**t = 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 556759?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 286 a factor of 45133424?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 132\/48*-2 - -7\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, -0.1, 18, -3 in ascending order.\nAnswer: -6, -3, -0.1, 18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 2\/8 + (-111)\/12. Let a(w) be the first derivative of w**3\/3 + 11*w**2\/2 + 10*w + 698. Calculate a(c).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -12.1 + 16.7. Which is bigger: 0.4 or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10428 divided by 1.\nAnswer: 10428","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 2 + -9063?\nAnswer: -9061","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 130780?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-1)\/(-2) - 9\/2. Let g(t) = -t**3 - 4*t**2 - 4*t - 3. Let n = -2 - -9. Calculate the remainder when g(r) is divided by n.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = 31*x + 5. Let q(r) = -15*r - 2. Let y be -15*(-12 + (-520)\/(-50) - -1). Give y*q(l) + 4*d(l).\nAnswer: -11*l + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*q + 5 + 10 - 14*q + 11*q - 3*q**3 - 12.\nAnswer: -3*q**3 + 7*q + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4*l**2 - 4*l**2 - l**2)*(-l + l - l**2) - 5*l**4 - l**4 + 0*l**4 to z + g*l + t*l**4 + a*l**2 + i*l**3 and give t.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 a factor of 63799?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = 5*l**2 + 6*l - 3. Let b be z(-2). Suppose 17 = 4*k - 4*y + 5, -b*y + 9 = 3*k. Solve a + 4*c - 1 = k*c, -3*c + 8 = -2*a for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 134 - 137.15. Let n = x - -3.5. Let s = n - -1.65. What is the fourth biggest value in -0.2, s, 0.5, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = 3*f**2. Let q(b) be the third derivative of b**8\/4032 + b**5\/12 - 13*b**2. Let a(d) be the third derivative of q(d). Give y(a(t)).\nAnswer: 75*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (4 - 2) + (-15)\/(-18)*52. Let m = y - 45. Find k, given that -m*k**3 - k**2 - k - 1\/3 = 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5472 at least as big as 5471?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 + 43 = 4*f. Let o be f\/36 - 0 - (-158)\/18. Suppose 7265 = o*u - 9790. Is u composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -20*w**2. Let p(d) be the third derivative of -d**5\/60 - 2*d**2 - 67*d. Give i(v) - 12*p(v).\nAnswer: -8*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.026504152226 and 723?\nAnswer: 723.026504152226","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 31 times 21\nAnswer: 651","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = 7*z**2. Let d(t) be the first derivative of -5*t**3\/2 + 17*t - 75. Let f(i) be the first derivative of d(i). Calculate f(j(m)).\nAnswer: -105*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(sqrt(2057) + 1 + sqrt(2057)) + (sqrt(2057) - (sqrt(2057) + (sqrt(2057)*-2 - sqrt(2057)) - sqrt(2057))*1) + 4)**2*-2.\nAnswer: -16458 + 88*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -u**2 - 3*u - 9. Calculate x(-5).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 114 a factor of 165642?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 154\/108 - 3\/2. Which is smaller: g or 0?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/(-2)*((-36)\/(-42))\/6?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1741 a multiple of 70?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-28)\/(-49)*(-7)\/(-2). Solve 3 = a*b - 5 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -147*g - 34. Give p(0).\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3 + 3 + 2*f**3 - 3 + 3 + 3*f**3 + (-2*f**2 - 1 + 1)*(-3*f + 5*f - 3*f) + 4*f**3 - 2*f**3 - 3*f**3 - 3 + 3 + 2*f**3 + 123*f**3 - 219 - 401 - 120*f**3.\nAnswer: 11*f**3 - 620","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: ((-948)\/(-24) - -4)*((-360)\/27 - -14)\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 256444 and 1647.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(72) - 1*1*sqrt(72)) + sqrt(72) + sqrt(72))\/sqrt(1200))\/((sqrt(363) + -2*(sqrt(363)*1 + sqrt(363)) + sqrt(363))*-1).\nAnswer: sqrt(2)\/110","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a meter in centimeters?\nAnswer: 20","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 5 - -10 - (10 + -2)\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*y = -v + 505 - 496, 0 = 5*y - v + 8*v - 2*v + 5 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -21 + 28. Put 0.2, u, -1 in decreasing order.\nAnswer: u, 0.2, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -13 + 18 + 3 + -5. Let f(t) be the third derivative of u*t**3 - 1\/60*t**5 + 0*t**4 + 0 + 15*t**2 + 0*t. Determine f(0).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = b + 16. Let f = -60 - -65. Let l be (22\/(-6))\/(f\/(-15)*-1). Let p be n(l). Solve -q - 1 = u, 0 = -5*q + 6*u - u - p for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (32*t**4 - 359*t**3 + 359*t**3)*(1 - 5 + 0).\nAnswer: -128*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor 13226*p**3 - 4322383*p**2 + 21441517024*p - 5*p**4 - 2817636690 + 3*p**4 - 24836537*p**2 - 7156680026 - 11438054612.\nAnswer: -2*(p - 2204)**3*(p - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 49 + -21 + 2 + -1 + -3.\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 18 and 171?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 281412\/1637 or 172?\nAnswer: 281412\/1637","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8*r**2 + 2*r**2 + 0*r**2 + (-r + r + 2*r)*(2*r + 0*r - 5*r) + 0 - 1 - 2*r**2 + 0*r**2)*(0 + 1 - 2).\nAnswer: 14*r**2 + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2 + -2.5. Let l = 907\/6 - 151. Put 3\/5, l, j in ascending order.\nAnswer: j, l, 3\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5380 + 2*d**2 + 0*d**2 - 22604.\nAnswer: 2*d**2 - 17224","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 35 and 1100?\nAnswer: 7700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -48\/193397 and 105\/698116.\nAnswer: 28622756","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0\/(-22)*15\/6*(-15)\/(-75).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.25819? (a) -0.3 (b) 4\/5 (c) -2 (d) 4 (e) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from dciicfc. Give prob of sequence cccf.\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -193*o - 345 = -322*o + 106*o for o.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -143 + 95. Let g = 486 + -442. Let p = g + c. Put p, 1\/7, 2 in ascending order.\nAnswer: p, 1\/7, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000140179 rounded to five decimal places?\nAnswer: -0.00014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-two fifths of a milligram in micrograms?\nAnswer: 10400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 4701157 to the power of 1\/2, to the nearest integer?\nAnswer: 2168","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-76)\/(-13) - (-4)\/26. What is the greatest common divisor of p and 42?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from dxxxxdxddx. What is prob of picking 3 x and 1 d?\nAnswer: 8\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) be the third derivative of -w**7\/945 - 4*w**6\/135 - 13*w**5\/45 - 4*w**4\/3 - 3*w**3 - 22*w**2 - 1. Find j, given that u(j) = 0.\nAnswer: -9, -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:21 AM and 12:57 PM?\nAnswer: 576","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (8\/(-15))\/(116\/580*2\/(-1))?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4 - 2 + 5)*(0*r + 0*r - r + (0 + 1 - 4)*(-8*r + 7*r + 15*r)) + (-1 + 5 - 2)*(0 + r + 0) + 0*r + 3*r + 3*r to the form p + k*r and give k.\nAnswer: -293","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1.4 + -1.3. Let z = 112\/451 + 1\/41. What is the smallest value in z, i, 2?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(147) + 3)**2 + sqrt(192) + -1.\nAnswer: 50*sqrt(3) + 155","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 74 and 5476.\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 922?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Work out -571 - -11.\nAnswer: -560","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 92520761?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 42\/5 of a meter?\nAnswer: 840","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 58\/9 in 0.5, -3, 1.1?\nAnswer: 1.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (sqrt(448) + 4 - sqrt(448)) + -2.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in -5, -4, 21\/8, -218, -63, -6\/11?\nAnswer: -218","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) be the third derivative of -5*i**4\/6 - i**3\/6 + 20*i**2 + 1. Determine g(1).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 46654?\nAnswer: 2, 23327","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in 3\/8, 2\/7, 0.3, -16\/9, -0.3?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11 + (-1 + -10 - (48 - 52)) + -1.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -3 and -0.20753.\nAnswer: 0.62259","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 + 12 = 5*i - 3*y, 2*y - 31 = -3*i. Solve 0 = f + 2 - i for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1020.\nAnswer: 2, 3, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 286853, 287375, 287897, 288419?\n\"Answer: 522*a + 286331","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 57*y = 51*y + 1512. What are the prime factors of y?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 83586493 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 - 2*a)*(0*a + 5*a - 3*a) + 2*a**2 - 2 + 2 + (7*a**2 + 15*a**2 - 98*a**2)*(0 - 1 + 4).\nAnswer: -230*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*d**2 - 3*d**2 + 10*d**2 - 24*d**3.\nAnswer: -24*d**3 - d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 24 - 77)*(-2*a**5 + 0*a**2 + 0*a**2) - 3*a**5 + 2*a**3 - 2*a**3.\nAnswer: 111*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4226 divided by -2.\nAnswer: 2113","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (2 - (-9)\/(-6)) + 3874\/4?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(-3 + sqrt(252)*-1 + sqrt(252) + 2 + sqrt(252) + -4))**2*2.\nAnswer: -120*sqrt(7) + 554","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 248*n + 1477 = 237. Let v(p) = -78*p**2 - 5*p + 5. Let k(t) = 2418*t**2 + 156*t - 156. Calculate n*k(w) - 156*v(w).\nAnswer: 78*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 0.11654 times -6.8\nAnswer: -0.792472","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (2 - 9)*300\/(-14). Suppose -118 = 4*y - x. Solve -4*l = -2*l - y for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 368 + -390 + (23 - -1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = 9*c**2 + 9. Let d(v) = 0*v**3 + v + 1 + v + 8*v**3 + 2*v**2. Let t be d(-1). Let p(b) = 2*b**2 - 4*b**2 - 5 - 3*b**2. What is t*p(k) - 4*z(k)?\nAnswer: -k**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8, -4, -3, 0 in decreasing order.\nAnswer: 8, 0, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -a + 36*j + 3*j + 24 = 34*j, 5*j + 8 = -3*a for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12 = -4*t + 2*t - 5*o, -4*t = 5*o - 14 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g + 92 = m, 46 = 3*g + 30*m - 35*m. Solve v + 5*b = -5, -4*v + g = -13*b + 12*b for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -4*d - 4. Let y be c(-7). Suppose -3*x + y = -0*x. Suppose -18339*t + 18294*t = -3825. Calculate the remainder when t is divided by x.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u\/(((u\/u**(-19))\/u*u)\/u)*u\/((u**(2\/11)*u)\/u))**(4\/37) assuming u is positive.\nAnswer: u**(-756\/407)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = x - 3. Suppose 0 = -x*i + 3*y - 304, -2*y = -7*y. Let k = 112 + i. What is the highest common divisor of 24 and k?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0, 1\/9, -0.5, -28.5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (-15)\/1 - (-13)\/(78\/42)\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 23 - 24. Let m(q) be the third derivative of q**5\/10 - q**4\/24 - q**3\/3 - 7*q**2. Is 2 a factor of m(a)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = 13*t**2 - 5*t + 5. Let g(l) = 5*l**2 - 2*l + 2. Let m(j) = 5*g(j) - 2*y(j). Let f(o) = -o + 0*o + 2*o. Calculate f(m(b)).\nAnswer: -b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (70\/245)\/((-10)\/175).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 185897584 a multiple of 272?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -44526905 = -6*w + 1901137. Suppose -19*k + w + 62561993 = 0. What is k rounded to the nearest one million?\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g + 26 = -1. Let z be (-4 - 39\/(-9))*g. Let k(l) = 6 - z - 4*l - 2 - 4. Calculate k(-2).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (2\/(-8))\/((-11)\/44). Let s be 17 + -14 - 2*c. Let u(t) = -t**3 + 15*t**2 - 16*t + 33. Let n be u(14). Put 3, s, n in decreasing order.\nAnswer: n, 3, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -1235950*u + 3911 wrt u.\nAnswer: -1235950","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 3237?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*c = -4*r + 3*c - 19, 0 = -5*r + 2*c - 22 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 256 and 32?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 139, 317, 501, 691, 887, 1089, 1297?\n\"Answer: 3*x**2 + 169*x - 33","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -56\/109227 and 87\/25328.\nAnswer: 1747632","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) be the first derivative of -r**6\/4 + 363*r**5\/5 - 43923*r**4\/8 + 6744. Factor p(z).\nAnswer: -3*z**3*(z - 121)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v**(-3\/10)\/v**(-1\/2)*v**(-1\/4)\/(v\/(v*v**7))*(((v\/v**(-5))\/v)\/(v\/((v*v\/(v*v*v**(-3\/2)*v))\/v*v*v)))\/(v**0\/v)**(-15\/4) assuming v is positive.\nAnswer: v**(87\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 1228, 2520, 3812?\n\"Answer: 1292*o - 64","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 330 and 5742?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3 in 9\/11, 83\/9, 4\/7?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) be the first derivative of -5*s**3 - 17*s**2\/4 - s + 28. Determine a, given that q(a) = 0.\nAnswer: -2\/5, -1\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 2\/3, -1, 0.008, -0.4?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -232*t**2 - 2*t - 46. Let j be a(9). Is -1 - j\/4 - 2 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -6*b**2 + 61*b + 1. Let k = 14 + 22. Calculate the remainder when k is divided by g(10).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 4, i: 1, e: 5}. What is prob of picking 2 e and 2 r?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (27\/7 + -3)*(-9912)\/22656. Let p = 0.1 + 0.1. Which is the fourth biggest value? (a) -7 (b) 1 (c) p (d) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 142069247?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from btbttkbkpbnn. Give prob of picking 1 b and 1 t.\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -726 + 1378. List the prime factors of t.\nAnswer: 2, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 1, t: 7}. Give prob of picking 3 t and 1 u.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.12300101 + 0.123. What is p rounded to 7 dps?\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 347 - 346. Let l = 196 + -977\/5. Put 0.2, s, l in increasing order.\nAnswer: 0.2, l, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-g**3 + g**3 + g**4)*(-50*g + 28*g + 25*g + (0 + 0 - 2)*(-3*g + 3*g - 2*g)).\nAnswer: 7*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 141*b - 422*b + 196*b = -156*b - 2911 for b.\nAnswer: -41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*t - 3*a - 33, 0 = -1800*t + 1796*t - 5*a - 48 for t.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is seven quarters of a meter in millimeters?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 9060846 to the power of 1\/7, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 231568 is divided by 231556?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -154 - -159. Suppose -12*c - k*c = -204. Calculate the smallest common multiple of c and 8.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, 4, 14, 5.\nAnswer: -6, 4, 5, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 38177.\nAnswer: 38177","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -9 + 13. Suppose i*z - c - 222 + 34 = 0, -5*c = 20. List the prime factors of z.\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 335323 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 9260747?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -3, 0, 63272, 3, 26, -1 in decreasing order.\nAnswer: 63272, 26, 3, 0, -1, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*i + d - 5, -i + 5*i + 5*d = 14 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1902 = -3*k + 3*p, -1244 = -2*k - 2*p + 56. What is the remainder when 1323 is divided by k?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-1)\/(9\/27) - -3. Let h(o) = -3 - 3*o**2 - o**2 + o + 3*o**2 + o**3. Give h(k).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10558 is divided by 264.\nAnswer: 262","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*g + p - 15 = 0, 3*p = -5*g + 5 - 40 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 22444 to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -f**3 - 46*f**2 + 99*f - 30. Give u(-48).\nAnswer: -174","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -6 - -8. Suppose f - 21 = 2*f + 4*s, j*s + 13 = -3*f. What is the units digit of 6 + 3*f\/(-3)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find b, given that -361*b**4\/3 + 75734*b**3\/3 - 3964069*b**2\/3 - 279020*b - 14700 = 0.\nAnswer: -2\/19, 105","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 47240854.\nAnswer: 2, 23620427","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 0.169*4\nAnswer: 0.676","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 13757473 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 10, x: 4}. What is prob of picking 3 c?\nAnswer: 30\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4\/(-4) + (48 - 2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.56516ml in litres?\nAnswer: 0.00056516","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = 7*o**3 - 83*o**2 + 52*o - 13. Calculate w(11).\nAnswer: -167","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = v**2 + 2*v - 2. Let g be b(2). Let x be ((-20)\/12)\/((-5)\/g). Let o(h) = 7 + x + 12*h**2 - 9. Give o(1).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 21121120 (base 3) to base 13\nAnswer: 26ac","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 59181557 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*u = 9*u + 2595. Let r be (3 - 6)*-1 + u. Suppose 3*y - 5*h - 848 = 0, -r = -3*y + 3*h - 2*h. Is y composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -14*i**2 + 39*i. Let y(m) = m. Let g(z) = v(z) - 6*y(z). Find the second derivative of g(w) wrt w.\nAnswer: -28","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4*(618102\/(-30912) - -20).\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2345340 divided by -12.\nAnswer: 195445","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*g + 3 = 3*v - 0, g - v = -1. What is z in 2\/9 - 4\/9*z**2 + g*z**3 + 2\/9*z**4 + 0*z = 0?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9677849670 to the power of 1\/6, to the nearest integer?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -25 + 29 + (-4 - -4)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 12\/(-120) + 7 + 7701\/(-1190).\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 55 less than 56?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1100121122210 (base 3) to base 10.\nAnswer: -720732","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 13410 and 300?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Are 17317403 and 17317404 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 25 - ((0 - -17) + -12 + 17)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1\/((-2)\/16)*(-696)\/24. Let s = f - 223. Let z be 20\/6 + (-6)\/(-9). Solve z*n + 1 = s for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:56 PM and 7:34 PM?\nAnswer: 158","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g = 2*k - g - 4, 4*g = -3*k + 40. Calculate the highest common divisor of 16 and k.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -8*q**2\/7 + 46*q\/7 + 12\/7 = 0. What is q?\nAnswer: -1\/4, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -111111011 (base 2) to base 6\nAnswer: -2203","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b - 36 = -0*b. Let u(m) = -m**2 - 19*m - 9. Let d be u(b). Let h = d + -22. List the prime factors of h.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*z**4\/7 + 204420*z**3\/7 - 11042568*z**2\/7 + 198789552*z\/7 - 1192807296\/7.\nAnswer: 2*(z - 18)**3*(z + 102264)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 24 + -24. Does 0 = g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3724.\nAnswer: 2, 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 14 + (81 + -90 - (1 + 6)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -425 - 2901. Which is smaller: -3323 or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 1256911, 1256912, 1256913, 1256914, 1256915?\n\"Answer: i + 1256910","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1269073?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 15895706 to the nearest integer?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 77162382 to the power of 1\/10, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -68003.81 - -67591. Let v = -4.19 + y. Let q = v - -416.999683. What is q rounded to 5 dps?\nAnswer: -0.00032","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 515?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.001, 0.4, 1, 6, -2?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (104 - 260 - 55)*(-6*o + 4*o + o).\nAnswer: 211*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 456251?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 r when two letters picked without replacement from {r: 14, k: 5}?\nAnswer: 91\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-551)\/(-57))\/(-1 - 2\/(-3)). Let v(c) = 4*c + 146. Let n be v(h). Solve -6*g - n = -0*g for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6 - 2*o + 4 + 4)*((-2 + 2 + 2)*(1 + 2 - 5) - 2 + 5 + 3)*(6*o - 2*o - 2*o).\nAnswer: -8*o**2 + 8*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:42 PM and 8:37 AM?\nAnswer: 715","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) be the second derivative of -f**4\/12 - 7*f**3\/6 + 3*f**2\/2 + 19*f. Let b(k) = 2*k**3 + 4*k**2 - 4*k - 12. Let s be b(-2). What is w(s)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = 221*i**2. Let f be o(-1). Suppose -r = -p + f, -3*r + 8*r = -2*p + 407. What is the remainder when p is divided by 31?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 1326 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = 3. Let l(s) = 2*s + 42. Let t(z) = 42*c(z) - 3*l(z). Let h = -33 + 31. Let k be (-1)\/(h\/((-16)\/(3 - -1))). Give t(k).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 20417554?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: Let n = -35 + 105. Let r(b) = 8*b + 112. Let u be r(6). Suppose n = 3*d - 4*f, -5*d - 25 = -3*f - u. Is d a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.1 and 24615.\nAnswer: 24614.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = b**3 - 22*b**2 + 22*b + 42. Does 7 divide o(21)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 4, -178, -2 in ascending order.\nAnswer: -178, -3, -2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -416860000 to the nearest one million.\nAnswer: -417000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29 = 4*r - 445. Does 13 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 minus -183.5?\nAnswer: 182.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z - 3*p + 2*p + 265 = 0, -4*z + 211 = p. Let a = 58 - z. Suppose -2*w = a*w - 138. List the prime factors of w.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 45*g**2 - 105*g**2 + 49*g**2 + (1 - 1 - 2*g)*(-4*g - 2*g + 4*g) + (4*g - 2*g + 0*g)*(-5*g + 4*g + 2*g) to the form l*g + u + j*g**2 and give j.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = 271*u. Let r(p) be the third derivative of -p**5\/30 - 115*p**2 - 2*p. Give k(r(x)).\nAnswer: -542*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -2 - (112\/(-2) + -2). Let q = 3 - 2. Suppose -3*k + q = -s. Is k prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -270 - -279 - (18 + (-3 - -2))\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) be the first derivative of -2*j**5\/5 - 5*j**4\/4 - 4*j**3\/3 - j**2\/2 - 1. Factor f(o).\nAnswer: -o*(o + 1)**2*(2*o + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) be the first derivative of -x**5\/5 - 1900*x**2 - 5051*x + 4975. What is the first derivative of t(l) wrt l?\nAnswer: -4*l**3 - 3800","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 968220545?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1269870 and 6090?\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*d**3 - 5*d**3 + 2*d**3 + (-d + 2 - 2)*(3 - 3 - 2*d**2) - 16*d + 127*d**3 + 16*d to t*d**3 + b*d + g*d**2 + s and give t.\nAnswer: 130","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -7*(-11)\/(1386\/(-12))\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 2167607889 a multiple of 35?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s = -6*s + 32. Suppose -4*l = -4, s*m - 5*m - 4*l = -292. Let i = m + 101. Solve x - i = -3 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (0 + 9)\/(1\/9). Let b = d - 31. Calculate the greatest common factor of 25 and b.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1.854 + -98.754. Let g = l - -94. Let w = 3 + g. What is the closest to -1 in w, -4, -0.7?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = 6*z**2 - 14*z - 5. Let p(b) be the third derivative of -b**5\/15 + 3*b**4\/8 + b**3\/2 - 4898*b**2. Determine -5*i(h) - 8*p(h).\nAnswer: 2*h**2 - 2*h + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*u**2 + 872182*u + 872184.\nAnswer: -2*(u - 436092)*(u + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6\/(-36)*20\/4.\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 67634 is divided by 37.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1186\/15 - 79. Which is smaller: 0 or y?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 45050944*m**3 - 479567379424*m**2 + 857390916*m - 383220.\nAnswer: 4*(m - 10645)*(3356*m - 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 370, 771, 1170, 1567, 1962?\n\"Answer: -w**2 + 404*w - 33","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 3367773290?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1130887 and 299?\nAnswer: 14701531","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -112, -115, -120, -127, -136, -147?\nAnswer: -160","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 363\/2 in -3, 2.1, 2, 5, -4\/25?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n + 5 - 1 = 0. Let k(o) be the second derivative of o**3\/3 - o. What is k(n)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 5239 + -5235. Which is the nearest to 2? (a) p (b) -4 (c) 0.4 (d) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7887 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 16125?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:53 PM and 4:39 AM?\nAnswer: 286","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1.326 + 0.026. Let t = i + 1.4. Let p = 64\/105 - 7\/15. Which is the smallest value? (a) t (b) 0.3 (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 6 - 4. Let l(a) = a**2 - a. Let z be l(2). Find the third derivative of -53*v**4 - 6*v**d + 4*v**z + 54*v**4 wrt v.\nAnswer: 24*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is v in -2*v**5\/13 - 7582*v**4\/13 + 18*v**3\/13 + 68238*v**2\/13 = 0?\nAnswer: -3791, -3, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: Let v be 6\/15 + (-108)\/(-30). Solve n - v*n - 15 = 0 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 701363, 1402724, 2104081, 2805434, 3506783, 4208128?\nAnswer: 4909469","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 31467 divided by -3\nAnswer: -10489","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o + 0*o = 0, 2*q + 4*o = 156. Suppose -i + 73 = 2*z, 5*i + q = 3*z + 1. Is 11 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -111*t - 276*t**2 + 111*t.\nAnswer: -276*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -28*v - 1297 - 495 for v.\nAnswer: -64","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x + 30 = 3*x. Let l be (-2 - x\/(-9))*-3. Suppose -u - 84 = -4*z, -l*u - 12 = -5*z + 93. Solve 0 = -a - 5*o + z, o + 11 = -a - 3*a for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s - 20 = -3*s. Suppose 3*a - 18 = s*a. Let k = a + 33. Is k a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4615183 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -8\/1451 or 6816?\nAnswer: 6816","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-2)\/(-9) + 528\/54. Let d be 1\/5 + 28\/o. Find the third derivative of -h - 10*h**d + 0*h + 7*h**2 + h wrt h.\nAnswer: -60","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3744 and 117.\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5748 divided by -6.\nAnswer: 958","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 12 + -2. Suppose -4*p - v = 14. Is -4 less than p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.29 - 0.21. Let a be (-1)\/2*2 - 0. Let n be (3 - (-2)\/a) + -2. What is the closest to -0.1 in -3, u, n?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r + 64 = 4*t, 2*r = 3*r. Suppose 5*s + t + 777 = 4*d, 172 = d + 4*s. 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: Let q = -330 - -336. Solve 3 = q*i - 27 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 10, -5, -40, -0.322, -1 in ascending order.\nAnswer: -40, -5, -1, -0.322, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -375, -390, -395, -384, -351?\nAnswer: -290","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 0.7547002 nanometers?\nAnswer: 0.0000007547002","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -271*a + 62. Let o be i(-1). Calculate the greatest common factor of 74 and o.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -t + 1691 - 1679 = a, -4*a = t - 57 for a.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -1 + -522260610437\nAnswer: -522260610438","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a milligram in micrograms?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n - 2124 = 6*g - 8*g, -5*n = 3*g - 3236. What is the tens digit of g?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**(-2)*k*k)\/k**(4\/11))\/(k**(-1\/2)\/k)**(-48) assuming k is positive.\nAnswer: k**(-796\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = s - 4*u + 14, 5*s = u + 12. Solve -5*n = s*c - n - 3, -c + 1 = 5*n for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k + 12 = 4. Suppose 8 - 3 = d + 3*p, -d - 10 = -k*p. Sort -0.3, 2\/5, d.\nAnswer: d, -0.3, 2\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -j**2 - 37*j. Let z(q) = -2*q**2 - 42*q. Let i(t) = -4*x(t) + 3*z(t). Determine g so that i(g) = 0.\nAnswer: 0, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by 595?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 4\/9, 50\/7, -2, 368, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32*z + 10555 - 46964 = 70215. Is z a multiple of 68?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 183564?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -y - 17. Let n be l(-25). Which is smaller: n or 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 times -514699?\nAnswer: 5146990","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 18596 is divided by 121.\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1260302686?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 214*q - 71358 = -73712 for q.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m + 83 = 4*d, 3*m + d + d = -41. Let k be 2 - (4 - (-18)\/m). Let u = k + 13\/10. What is the third smallest value in -2, 4, u?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2914 + -7588. Let r = -2365 - x. Is r a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:36 AM and 6:49 AM?\nAnswer: 313","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + ((-4*(sqrt(78) + sqrt(78)*-1) - ((sqrt(78) + sqrt(78)*-1)*-2 - sqrt(78)))\/((sqrt(42) - 6*sqrt(378) - sqrt(42) - sqrt(42))\/sqrt(7)))**2.\nAnswer: -1792\/361","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -4*i**3 + i**2 - 2*i. Let r(s) = 4*s**3 - s**2. Determine -5*f(b) - 6*r(b).\nAnswer: -4*b**3 + b**2 + 10*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert -17 (base 15) to base 14.\nAnswer: -18","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = h + 4. Let l = 27 + -21. Suppose 2*u - l = 10. Suppose -u = 5*y + 2. Calculate z(y).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -29 - 19945302474?\nAnswer: -19945302503","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 22618391 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -14, -13, -12?\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -10008 (b) 2\/9 (c) 1\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.25 in 3, 1.2, -23\/3, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -6, 16\/5, 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -20*n**2 - 3*n. Let y(m) = 2392*m + 1. Determine y(f(d)).\nAnswer: -47840*d**2 - 7176*d + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -103 + -1311300?\nAnswer: -1312003","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + (sqrt(147) - (-5 + -1*sqrt(147))) + sqrt(147)*2 + -3 + -2*(-5 + 3 + sqrt(147)*-1))**2 + 4.\nAnswer: 840*sqrt(3) + 5396","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 + 3 - 2)*(-1029 + 1029 + 5*w) in the form k + x*w and give x.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 147 (b) -1\/4 (c) 3\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -107, -8, -3\/10, 0.17, 0.5?\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3 - -5 - -19) + 32 + (-14 - 11).\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -n - 7*n - 21*n + 2*n - 30*n.\nAnswer: -57*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -3*o**4 + 6*o**3 - 2*o**2 + 6*o. Let z(k) = -10*k**4 + 17*k**3 - 5*k**2 + 17*k. Let b(p) = 17*i(p) - 6*z(p). Find the third derivative of b(a) wrt a.\nAnswer: 216*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10799 is divided by 208?\nAnswer: 191","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*m**4 - 3*m + 3*m + (1 + 3*m**4 - 1)*(7 - 2 - 3) + 3*m - 2*m - m**4 - 2*m.\nAnswer: 7*m**4 - m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -222 + 224. Factor -27*k**2 - 45*k**4 - 687*k**3 - 5*k**5 - 8*k**x + 612*k**3.\nAnswer: -5*k**2*(k + 1)**2*(k + 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.29? (a) 1\/5 (b) -1 (c) -3\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6627?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -142 - -146. Solve -i*g - 5*g - 45 = 0 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -4*q. Calculate the smallest common multiple of 20 and l(-3).\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 207860094 is divided by 1451?\nAnswer: 1442","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 72102 and 48068?\nAnswer: 144204","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i = 3*q, -3*q + 2*q = i. Let b be -7 + (-432)\/(-144)*(2 + 1\/1). Determine w so that 2\/13*w**b + 0 + i*w = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -177 - -418. What is the tens digit of p?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1584*p - 85*p + 44970 = 0 for p.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or -86\/12463?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2491 + -2351. Calculate the remainder when f is divided by 92.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate i*z**2 - 92*i*z - 27669*i + 157*z**2 + 455*z + 148 with respect to z.\nAnswer: 2*i*z - 92*i + 314*z + 455","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -1, 2\/91987, -0.4, 0, -10.6?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t**(-30)\/t**(-22)*t**(3\/19)\/(t\/(t**19*t)) assuming t is positive.\nAnswer: t**(212\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 6*h**3 - h**2 + 1203.\nAnswer: 18*h**2 - 2*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 26892 a multiple of 44?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13492167.\nAnswer: 3, 13, 345953","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -55c8 (base 13) in base 12?\nAnswer: -6b36","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4882 is divided by 112.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2 and 7?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s*s**(-2\/11)*s**(1\/6))\/(s**(-1)\/s)**(-47))**(-4\/35) assuming s is positive.\nAnswer: s**(1754\/165)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = 15*q + 20. Let h be s(-4). What is the common denominator of 2*-1 - 279\/12 and (8 - 8 - -4) + (-1 - h)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 10\/(-105)*387\/(-2). Let k = f + -134\/7. Is -1 <= k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 70 + -49. Suppose 0*x = x + 3*s - 7, -3*x + s = -r. Suppose 3*k - x = 5*a, 2*k - 4*a = k. Solve 5*b = k*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 888, 1774, 2660, 3546, 4432, 5318?\nAnswer: 6204","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*f - 2*k - 1478 = -15*f, f + 5*k - 504 = 0. Calculate the greatest common factor of f and 78.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 6, q: 7}. Give prob of picking 2 q.\nAnswer: 7\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/199? (a) 9 (b) 5 (c) -2\/5 (d) 1 (e) 0.21 (f) -11\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 543088 and 23426?\nAnswer: 489322288","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = 2*j**2 - 4. Let x(p) = 1. Let k(b) = -q(b) - 4*x(b). Let f(z) = -42*z**2. What is k(f(m))?\nAnswer: -3528*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8*u + 14*u - 20*u + 11)*(2 - 9 + 3).\nAnswer: -8*u - 44","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (0 + 4)*(-3)\/((-12)\/(-827)). Let t = 3534 + q. Is t a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 65240 = 64*i - 15*i + 13006. What is the thousands digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 - ((2 + 4 - 3) + 1)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 5 - -30?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*x + 4*x - 5*x.\nAnswer: 11*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -6*l - 140. Let f(z) = -5*z - 143. Let w(t) = -4*f(t) + 3*u(t). Is 11 a factor of w(44)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 6, g: 3, c: 6}. Give prob of picking 2 c.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -5*o + 43*o**3 + 0*o + 3 - 3*o**2 + 2*o - 49*o**3. Let c(u) = -7*u**3 - 4*u**2 - 4*u + 4. Give 3*c(m) - 4*x(m).\nAnswer: 3*m**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4 - s**3 - 2*s - 45*s**2 - 4*s**4 + 42*s**2 + 5*s**4 to m*s**4 + r*s**2 + d*s**3 + j*s + b and give j.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + sqrt(180)*3 + -3 + ((5 + 0 + sqrt(180))**2 - (-2*sqrt(180))**2*6).\nAnswer: -4120 + 78*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -17*f**2 - 1. Give m(-1).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = 111*u - 5. Let o(n) = 112*n - 4. Let b(l) = 4*m(l) - 5*o(l). Let g(z) = 2*z. Give g(b(h)).\nAnswer: -232*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 91, -1999, 4 in decreasing order.\nAnswer: 91, 4, -1999","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = s**3 + 13*s**2 + 9*s - 16. List the prime factors of m(-12).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -x**2 + 14*x + 9. Let g be j(13). Let w = g - 19. What are the prime factors of w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 4 - 2. Let g = -321 + 407. Let p(n) = -n + g + 2*n**2 - 169 + 84. Give p(u).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3220*v**2 - v + 3233*v**2 + 0*v + v - 6383*v**2.\nAnswer: 70*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 0.03 * 2468408.3\nAnswer: 74052.249","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:36 PM and 3:39 PM?\nAnswer: 63","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s*s**(-2\/5)*s)**(1\/31)*s\/s**(7\/4)*(((s*s*s**(3\/5))\/s)\/s)\/s assuming s is positive.\nAnswer: s**(-681\/620)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w + 8 = 3*w. Suppose 4*a = -20, f - 13 = -2*f + 2*a. Let h = w + f. What is the units digit of h?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find k, given that -2*k**2 + 4 + 2*k**2 - 2*k - 2*k**2 = 0.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 30 = -21*n + 27*n for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00247453 rounded to four decimal places?\nAnswer: 0.0025","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-9)\/(-3) - 0 - -1. Suppose -w*t + 64 + 228 = -2*y, 3*t = 0. Let o = y - -288. List the prime factors of o.\nAnswer: 2, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*j - 41 = -25*b + 21*b, 0 = j - 3*b + 17 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(-2 + sqrt(170)\/sqrt(10)) + 2 + (-2*sqrt(68) - sqrt(68)).\nAnswer: -12*sqrt(17) + 14","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*o + 3*o + 0*o + (-2 + 1 - 1)*(2*o + 1 - 1) + 3*o + 3*o - 5*o + 3*o - 4*o + 2*o + o - o - o - 865 + 103*o + 865)*(0*o**2 + 2*o**2 + 0*o**2).\nAnswer: 196*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (10 - (-13 + (-14 - -26))) + 11?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) be the first derivative of p**4 - 280*p**3 + 29400*p**2 - 1372000*p + 213. Factor w(q).\nAnswer: 4*(q - 70)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 709 minutes after 2:22 PM?\nAnswer: 2:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1209 (base 11) to base 9.\nAnswer: -2147","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -7805 + 8164. Calculate the remainder when f is divided by 88.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -6028 + 6028.5. Let o be ((-3)\/12)\/(3\/(-8) + 0). Which is the nearest to o? (a) -3 (b) -4 (c) 0.1 (d) m\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.6, -42.688, 1\/6?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*k - 100 = 12*z - 8*z, 5*k + z - 20 = 0 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -82*g**3 - 2*g**2 - g. Suppose -3*r - 2*r = 5. Let k be h(r). What is the highest common divisor of k and 27?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -250579840*a*i**2*r**3 + 1832*a*i**2 + 99*i**2*r**2 - 560*i*r**2 wrt r.\nAnswer: -1503479040*a*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*a - 3*a. Suppose 10 = 2*m - a*m. Suppose -2*g = -m*g + 18. Calculate the least common multiple of g and 2.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (42\/39 - (-1)\/(-1)) + 30380\/(-2015)?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) be the third derivative of q**4\/24 + 20*q**2. Let d(t) = -38*t**2. What is b(d(l))?\nAnswer: -38*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -637.13907 rounded to the nearest ten?\nAnswer: -640","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide 27165 by -5.\nAnswer: -5433","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 6939 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*u + 51*m - 14 = 46*m, 3*m - 11 = -5*u for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 4 + -2. Suppose 0 = -8*s + 146 - 66. Calculate the highest common divisor of s and j.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 324 (base 14) to base 15.\nAnswer: 2b5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: ((-170748)\/3672)\/((-62)\/24)\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0 - -2. Suppose 5*p = 4*x + 8, -p - 3*p + 10 = -m*x. Factor 6*w**2 - 4*w**2 - 2*w**2 - 3*w**x.\nAnswer: -3*w**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3588*d**3*v**2 + 8*d**3*v - 42*d**3 - d*v + 3007*d - 35060*v**2 + 2*v wrt v?\nAnswer: 7176*d**3 - 70120","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 83836*a + 0 - 83838*a + 1.\nAnswer: -2*a + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3745392*k**4*y**2 - 182*k*y**2 + 99*k*y - k - 1 wrt k.\nAnswer: 44944704*k**2*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((y**(1\/3))**(-2\/77)*(y\/(y\/(y*y\/(y*(y*y*y\/(y*y**(-1\/2))*y)\/y))*y))\/(y*y**9*y))**(-39))**(-3) assuming y is positive.\nAnswer: y**(-243399\/154)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p*p**(-8))\/(p*p**(-24\/7)) assuming p is positive.\nAnswer: p**(-32\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 44987 is divided by 1397?\nAnswer: 283","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 9 and 12861.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express h - 7*h - 11*h**4 - 2*h**3 + 8*h**4 + 4*h - 2 as l*h**2 + q*h + o*h**4 + n*h**3 + m and give m.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 190.01 - 179.9. What is a rounded to 0 dps?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.185 - 3294616736.\nAnswer: -3294616735.815","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2877553 or 2877554?\nAnswer: 2877554","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 10, 0, 1 in descending order.\nAnswer: 10, 4, 1, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is -2213 less than -837?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -6*s**3 - 5*s**2 - 5*s + 5. Let i(y) be the second derivative of 1\/12*y**4 + 16*y + 0 + 1\/20*y**5 - 1\/2*y**2 + 1\/6*y**3. Determine 5*i(f) + v(f).\nAnswer: -f**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -4 or -141?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -j**3 + 9*j**2 + 11*j. Let u be x(10). Suppose 3*n - u = 2. Solve -5 = -n*g - 1 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.13 (b) 11 (c) -2\/19\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -10110 (base 4) to base 13\nAnswer: -183","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(sqrt(1088) + 3 - sqrt(1088)).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/4 in -2, -2\/3, -36977?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:47 AM and 8:54 AM?\nAnswer: 367","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 16 + -13. Let p(k) = 4*k**3 - 3*k**2 - 5*k + 3. Let i(q) = q**3 - q**2 - q. Let f(t) = -5*i(t) + p(t). Calculate f(s).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -24539\/1070 + -57\/214. Let c = 118\/5 + x. Which is smaller: -1\/4 or c?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 38 and 247.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 104 - 98. Solve 0*c - m = -2*c for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -h**2\/3 + 5532944*h\/3 - 7653367326784\/3 = 0 for h.\nAnswer: 2766472","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 77241416 a multiple of 172?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f**(3\/8)\/(f\/f**4)*(f\/(f*f**(1\/2)*f))\/(f*f**(4\/9)) assuming f is positive.\nAnswer: f**(31\/72)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 625 minutes after 2:32 PM?\nAnswer: 12:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t\/(t*t*(t\/(t*t**(-1\/6))*t)\/t)*t**(1\/4)\/t*(t**(2\/3)\/t)\/t**(4\/9) assuming t is positive.\nAnswer: t**(-97\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + sqrt(700) + (sqrt(35)\/(-1*sqrt(5)))**2)*-3.\nAnswer: -30*sqrt(7) - 24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = 2*p + 9. Let l(f) = -5*f - 19. Let q be (1 - 8\/(-6))*3. Let r(w) = q*h(w) + 3*l(w). Differentiate r(s) with respect to s.\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 167 and -45487183.\nAnswer: -45487016","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 227327, 227332, 227337, 227342?\n\"Answer: 5*n + 227322","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -22*c**3 + 19*c**2 - 290*c + 287. Calculate x(1).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 4.08 - 0.08. Let f = i + -3.8. Let h = -1.2 + f. Which is the nearest to -0.1? (a) 3 (b) -0.3 (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 36629324731 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = y**3 - 3*y**2 + 2*y - 3. Let g be h(2). Suppose -5*l + 5 + 0 = 0. Sort 6, g, l.\nAnswer: g, l, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*j = -68*h - 221*h - 574, 127*h = 131*h - 4*j for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5904 - 5904 - 3*h)*(-2 - 3 + 1) + h + 0 + 0 + (1 - 1 - 2)*(4 - 2 + 0)*(3*h - 6*h - 4*h).\nAnswer: 41*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -10, 2, -4 in descending order.\nAnswer: 4, 2, -4, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5*1*(144\/(-15) + 10).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -5, -161.\nAnswer: -161, -5, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -11494, -20443, -29396, -38353, -47314, -56279?\nAnswer: -65248","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3 + 1. Let m = -3 + 4. Let d = 2 - m. Which is the third smallest value? (a) d (b) s (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2289.97 take away -644.3?\nAnswer: 2934.27","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 10525964 a multiple of 1966?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -263 divided by -263?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Add together -19554326 and -0.3.\nAnswer: -19554326.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 280 and 35112.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**13\/l)**(-29)*l\/l**(1\/11)*l\/(l*l**(-11\/4))*l assuming l is positive.\nAnswer: l**(-15107\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when ((-8)\/(72\/(-63)) - 45)*-13 is divided by 9.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jcj when three letters picked without replacement from {o: 1, p: 3, c: 1, r: 1, j: 1}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 44 + -41 + (354 - (3 - 3)). What is the highest common divisor of 85 and c?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*u**3 - 42464*u**2 - 84976*u + 339776 = 0 for u.\nAnswer: -4, 2, 10618","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -11\/4 and (-38 - -3) + (-1)\/2.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5*(-1)\/((-15)\/9))\/(-1).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -h**4*r + 2*h**4 + 459*h**3*r + 348*h**3 + 104*h**2*r - 169*h**2 + 2*h*r - 11 wrt h?\nAnswer: -24*h*r + 48*h + 2754*r + 2088","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 11248 and 1368.\nAnswer: 152","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-21*p**2 + 29*p**2 - 38*p**2)*(-3*p - p**3 + 3*p + (0 + p + 0)*(0 + 0 - 2*p**2)).\nAnswer: 90*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-4\/3)\/(k\/(k*k**(-2\/7)*k)))**(5\/3) assuming k is positive.\nAnswer: k**(-65\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*o + 3*o = -39. Let w(k) = -51*k - 94. What is the remainder when o is divided by w(-2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 189957 to the nearest integer?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve j + 122 + 18 = 11*j for j.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*((sqrt(2) - (sqrt(4)*1)\/sqrt(2)) + sqrt(2)) + ((sqrt(2) + (sqrt(8) - sqrt(2)))**2 - sqrt(2))*-5 + ((sqrt(162) + 1)**2 - sqrt(2)).\nAnswer: 26*sqrt(2) + 123","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 3 - 2*v**2)*(2389*v + 647*v - 79*v).\nAnswer: -5914*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 617 - 944 + 327 - 4512*i to l + u*i and give u.\nAnswer: -4512","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) be the third derivative of 7*o**6\/120 - 11*o**5\/60 - 8*o**2. What is the third derivative of x(w) wrt w?\nAnswer: 42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-5 + 2 + 5)*(348 + 121 - 6)*(1 - s - 1) in the form v + a*s and give a.\nAnswer: -926","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 42269 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = r**3 - 7*r**2 + r + 4. Let q be (-390)\/(-33) + -3 + 140\/44. Let c be ((-148)\/(-111))\/(q\/27). Calculate j(c).\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*f**4 - 90*f**3 - 2*f**2 + 90*f.\nAnswer: 2*f*(f - 45)*(f - 1)*(f + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w + 46 = -4*x - 4, -2*w - x = -20. Let k = 17 - w. Is 22 - (k + -5)*2\/(-4) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.03 < -931\/251?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-v - v + v)*(4 - 5 + 2)*(0 + 0 + v**2).\nAnswer: -v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -77*w**4\/4 + 85*w**3\/4 + 186*w**2 + 143*w + 20 = 0 for w.\nAnswer: -2, -5\/7, -2\/11, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 203465 + (-6 - -19) + -13 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 1, r: 2, x: 1}. Give prob of sequence rxcr.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*g + 52 - 19. Let r(i) = -2*i + 6. Let b be r(4). Let p = g + b. Solve p = 5*h + 3*z - 2, 0 = -2*h + 2*z + 14 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -c**2 - 5*c - 2. Let l be s(-3). Solve -a = a + l for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -2*k. Let j be p(-4). Suppose -c = 8*c - 792. Calculate the greatest common factor of c and j.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 321 a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n - 26 = 3*s, -20 = 3*s + s - 3*n. Suppose -3*d = -5*d + 4. Let u = s + d. What is the biggest value in u, 0.5, -3\/5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 65.89356 to the nearest 10.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 12172223?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) be the third derivative of s**6\/120 + s**5\/20 - 5*s**4\/24 - s**3 + 4*s**2. Let c = 1 + 0. Let y = -5 + c. Calculate j(y).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 122 (base 3) in base 9?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*g - 10*g**3 + 2*g + 4*g + 2*g**3 to the form r*g**2 + c*g**3 + w*g + n and give c.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*j + 2*j = -5*q, q - 22 = 4*j. Suppose 0 = q*o - 5 - 13. Calculate the common denominator of -6 and (254\/(-9))\/(12\/o).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 209316 (base 12) in base 5?\nAnswer: 112414131","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2688?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(5) + 0)*-4 + 5 - (sqrt(20)*-2*-2)\/sqrt(4).\nAnswer: -8*sqrt(5) + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = 38*w**2 + 2*w + 2. Let x(c) = 260*c - 95 - 268*c**2 - 355*c - 819*c**2 - 699*c**2. Give -95*o(g) - 2*x(g).\nAnswer: -38*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -78*v**3 - 15722*v + 15722*v.\nAnswer: -78*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ffwwwwwwfwwfwwfffffw. What is prob of sequence fw?\nAnswer: 99\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*u + u - 3*u)*(-31 - 41 + 29) + 53124*u - 56570*u + 3 - 3 to y*u + q and give y.\nAnswer: -3489","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + ((2*sqrt(3456) - -5*sqrt(384))\/(sqrt(288) + -2*sqrt(288)*-5))**2.\nAnswer: 19\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -177 - -172. Sort 33, c, -38 in decreasing order.\nAnswer: 33, c, -38","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*w - 4*u - 12, -11*u = 2*w - 8*u + 16 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -10*h**2 + 1. Let d be p(1). Let g be (-984)\/(-54) - (-2)\/d. Let l be (-6)\/g - (-2)\/2. Put l, 0.4, -1\/3 in descending order.\nAnswer: l, 0.4, -1\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y - 66728 = -g, -5*g + 5*y - 200247 = -8*g. Does 45 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -27 + 7. Let l be (-10)\/x - (-9)\/2. Solve -4*h + b = -5, 2*h - 2*b + 3*b = -l for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 128, -0.4, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = w - 2. Let m be i(4). Suppose 2*p - 3*p = -2. Solve -l + p*l = m for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 r and 1 p when three letters picked without replacement from prrppprrrppppp?\nAnswer: 45\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -14*v + 169 + 179 - 348 - 10*v**2. Let g(t) = 2*t. Determine g(s(c)).\nAnswer: -20*c**2 - 28*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2\/17 (b) -27 (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -289501.93 + -632.931.\nAnswer: -290134.861","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 573 (b) -4 (c) -0.6 (d) -2\/3 (e) 1.6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*s + 5*b + 13, 4*s + 5255*b - 5256*b = 40 for s.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let -h**4\/6 - 45459*h**3 + h**2\/6 + 45459*h = 0. What is h?\nAnswer: -272754, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 times 17974570?\nAnswer: 17974570","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6 - 2 - 2)*(j**5 + 3*j**5 - 60*j + 50*j).\nAnswer: 8*j**5 - 20*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 3 (b) 2 (c) -45144 (d) 0.3 (e) 0.5 (f) -1\/8\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 217640a - f?\nAnswer: 21763fb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put 26, 4, 0.6, 5 in ascending order.\nAnswer: 0.6, 4, 5, 26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 35 - 38. Let r be ((-36)\/21)\/(-2)*3\/(-9). Sort r, u, 5, 2.\nAnswer: u, r, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 25\/2 of a litre in millilitres?\nAnswer: 12500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -4788*n. Let r(f) = -f**2. Calculate r(u(t)).\nAnswer: -22924944*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-6)\/40)\/(18\/(-16)). Let i = -1 - 0. Let o(t) = -2*t**3 + 42*t**2 - t + 25. Let c be o(21). What is the closest to 2\/7 in c, y, i?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.5 in 0.07, -2\/21, -5?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -41 + -22 + 54 + -41\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g and 1 i when two letters picked without replacement from ibg.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (1\/(-4) - 122\/40)\/(1767876\/(-12485)) and -49\/64.\nAnswer: 3776","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.780361416 to four decimal places.\nAnswer: 0.7804","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1335?\nAnswer: 3, 5, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b11389 (base 12) to base 11\nAnswer: 1615820","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2002010210 (base 3) to base 6.\nAnswer: -513250","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(-1 + sqrt(1573) + -3 + (sqrt(1573) - -6*1*sqrt(1573)) + 0)**2*4.\nAnswer: -2816*sqrt(13) + 402752","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*y = b + 11 - 7, b - 4 = 3*y for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0 - -6. Let b = p + 7. Does 5 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -15, -5, -0.1, -1, 8.5, -94?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 4436 or -0.02715?\nAnswer: -0.02715","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -6 - -22. Calculate the remainder when s is divided by 5.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = l**3 - 12*l**2 - 21*l - 12. Suppose -7 - 7 = -u. Calculate the remainder when d(u) is divided by 29.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 14854660?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 958583\/14 + -136937\/2. Solve -v - 1\/7*a + 1\/7*a**2 = 0.\nAnswer: -3, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 536558 and 62234?\nAnswer: 1682","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/(-3))\/((4\/3)\/(202\/(-101))).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u = 2*u + 6. Let h = u + -4. Suppose -5*a + 8 = 4*j, h*j = -0*j + 5*a + 34. Is j a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 114 - 65. Let z = 9 + 8. What is the remainder when b is divided by z?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -332 - -357. Let x be (108\/120)\/(30\/k). What is the second biggest value in x, 9, -3, 0.5?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 516.3915 years in months?\nAnswer: 6196.698","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 8647 or 8649?\nAnswer: 8649","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in ten thirds of a day?\nAnswer: 4800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2286268 is divided by 45?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.3 and -10.1.\nAnswer: 3.03","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 26112699 to the nearest integer?\nAnswer: 297","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = 5*c. Let i(m) = -9*m**2 - 14. Determine i(j(h)).\nAnswer: -225*h**2 - 14","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 378362973*h + 498234160 wrt h.\nAnswer: 378362973","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*i = -3*i + 144. Let f be -5*(-5)\/((-50)\/i). Solve -f*y**3 + 21*y**4 - 13*y**3 + 9*y**2 - 5*y**3 + 6*y = 0 for y.\nAnswer: -2\/7, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -85 or -93106\/1097?\nAnswer: -85","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10100001 + 1111000110000?\nAnswer: 1111011010001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -i**3 - 3*i**2 + 5*i + 1. Suppose 8 = -3*s + 3*d - 22, 4*s + d = -15. Let a be (-34)\/8 + s\/(-20). Calculate m(a).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -34 + 37. Suppose -6*n - 19 = -2*h - 11*n, -5*n = -o*h - 9. Suppose 0 = -3*s + 6*s - 12. Sort -3, h, s in descending order.\nAnswer: s, h, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wd when two letters picked without replacement from dwdcdwwdd.\nAnswer: 5\/24","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u and 3 w when four letters picked without replacement from wzuizzwiizw.\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -3, 27, 4, -54, -8 in decreasing order.\nAnswer: 27, 4, -1, -3, -8, -54","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 7112 and -19?\nAnswer: 7131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5023314130 by 5.\nAnswer: 1004662826","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -31*a**2 + 18*a**2 + 28*a**2.\nAnswer: 15*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 - 7 = -2*x, -2*h + 3 = x. Suppose 5*r - 3*v + 43 = h, 0 = r + 4*r - 2*v + 47. Let o(k) = -k**3 - 11*k**2 - 5*k - 21. List the prime factors of o(r).\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f**3 + 126267*f**2 - 2019696*f + 8078016 = 0. Calculate f.\nAnswer: 8, 42073","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8816 divided by 1102.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kkckkkcjjkkkkkc. What is prob of picking 3 k?\nAnswer: 24\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -73 (base 12) to base 16\nAnswer: -57","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -2 - 34*r - 39*r + 79*r. Calculate m(2).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 12 in -1\/2, -3, -1.1, 4, 0.5?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Product of -3 and 4041.\nAnswer: -12123","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:00 AM and 3:30 PM?\nAnswer: 270","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 57*m + 72*m - 4523 + 3951 = 10522 for m.\nAnswer: 86","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 873*f**2 + 589265*f\/3 - 750.\nAnswer: (f + 225)*(2619*f - 10)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 + 3 = -2*m. Let o(t) = t**3 + 9*t**2 + 2*t + 8. Is 19 a factor of o(m)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dxkgxkkkddd. Give prob of picking 2 x.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -t - 5. Let s be u(-10). Suppose s*f - 4*f - 9 = 0. Calculate the remainder when 34 is divided by f.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 6.867249 seconds?\nAnswer: 6867.249","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = i - 3. Let d(p) = -56*p - 4. Give d(h) - 2*l(h).\nAnswer: -58*h + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + 13 - ((-3 - -1) + 8)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(17) + (sqrt(17) - (-2*sqrt(153))\/sqrt(9) - sqrt(17)) + (-1*sqrt(187))\/sqrt(11).\nAnswer: 2*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 25*u + 2*u - 10*u - 339 - 2*u - 243 to the form d*u + w and give w.\nAnswer: -582","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: (35\/(-35245)*53)\/((-1)\/2*1)\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -441 - -452. Suppose -3*i = -7 - 2. Suppose -i*a = f - u, -a = -5*f - 6*a + 55. Calculate the greatest common factor of 11 and f.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1039413*r - 1242 + 519737*r + 519731*r)*(-1 - 3 + 6)*(-2*r**2 + 3*r**2 - 3*r**2) to the form u + b*r**2 + o*r**3 + k*r and give k.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*b - 2*b - 2*b)*(1 + 0 - 2) - b + 4*b - b + 2*b - 6*b + 5*b - 2*b - b + b + 0 - 6*b + 0 as h + w*b and give w.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-1327)\/(-5) + 7\/(-5)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 33 + -29. Suppose -g*k + 41 = -23. Let h(l) = 3*l - 3. Let j be h(2). Solve -d - 3*o + k = 0, 2*o - 11 - 9 = -j*d for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + sqrt(1573)*1 - (5 + sqrt(1573) + 1 + sqrt(1573)))**2.\nAnswer: 132*sqrt(13) + 1609","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 2219 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 208152\/(-7434)*(-5)\/(70\/(-32)).\nAnswer: -64","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u - 2*u = 15. Let l(q) = q + 5. Let g be l(-4). Is 20 a factor of (0 - u) + (58 - g)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1607.08165 rounded to one dp?\nAnswer: 1607.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert -20233104 (base 6) to base 9.\nAnswer: -1073544","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -148999*a**2 - a - 2. Let h be q(-1). Round h to the nearest 10000.\nAnswer: -150000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 263664748 to the nearest integer?\nAnswer: 16238","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -9963, -19957, -29937, -39903, -49855, -59793?\n\"Answer: 7*a**2 - 10015*a + 45","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -k = 43*f - 41*f + 13, -20 = 4*f for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -c - 5. Give n(-8).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 13 + -21. Let q = y + 11. Solve -5*c + 4*p - 3 + 19 = 0, 0 = -5*c - q*p + 23 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c*c**(2\/7)*c**5*c*c**(1\/10)*c\/(c\/((c\/((c\/((c\/(c*(c\/(c*c*c**(-3\/5))*c)\/c*c*c))\/c))\/c))\/c*c)))\/((c**12\/c)\/c**(-8\/7))**10 assuming c is positive.\nAnswer: c**(-1619\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 4*c**3 + 178*c**2 + 57803*c.\nAnswer: 24*c + 356","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (12\/18)\/1 + 1579\/3. Let y = -316 + i. Is y composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + (6*sqrt(168)\/((sqrt(35)*-1)\/sqrt(5)))\/(-3*sqrt(80)\/(-5*sqrt(40))))**2.\nAnswer: 160*sqrt(3) + 1216","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1480567*q**3 + 994254 with respect to q.\nAnswer: -4441701*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0977627 to three decimal places.\nAnswer: -0.098","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.81061 to one decimal place.\nAnswer: 0.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 467903.\nAnswer: 467903","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -5 + 6 + 4 + -1. Suppose -y*r + 78 = 2*r. Suppose 0 = 35*z - 33*z - 26. Are r and z equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 2, 12, -26447, 3 in decreasing order.\nAnswer: 12, 5, 3, 2, -26447","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor 145924*q**2\/5 + 10696*q\/5 + 196\/5.\nAnswer: 4*(191*q + 7)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a - 3*c + 2*c + 70175 = 0, -5*c - 46772 = -2*a. Suppose 4*m + p - 31199 = 0, -6*m = -9*m + 2*p + a. Is m prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*s - 16 - 2. Is 2 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 9960*k**2*r**3*s**2 - 7*k**2*r**3 + k*r**3 - k*r**2 + 167*r**2*s**2 wrt k.\nAnswer: 19920*r**3*s**2 - 14*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (c - 4*c + 4*c)*(c - 3*c - 5*c) - 599 + 599 + 398*c**2.\nAnswer: 391*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -46026064 or -46026057?\nAnswer: -46026064","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 2020011 (base 3) in base 9?\nAnswer: 2204","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -122 - (-90 + -14 + -124)?\nAnswer: 106","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 5248.145 centuries in months?\nAnswer: 6297774","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*j = 3*h + 8, 2*j - 3 = -4*h - 43 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = 25*r**2 + r. Let m be q(3). Suppose -915 = -23*a - 892. Suppose -t + a = -m. What is the tens digit of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 18\/7 (b) -2\/11 (c) 25\/9 (d) -11\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 172 is divided by (-13)\/26 + (-142)\/(-4).\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -1 - (22 + -1*2). Let a = -15 - o. What are the prime factors of a?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 - (12 - ((-9 - -12) + 2))?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from tybyt. Give prob of picking 1 t and 2 y.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert -33332112 (base 5) to base 13.\nAnswer: -a3359","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -2*h. Let y be 1*2\/2*52. Let g be y\/(-14) - (-14)\/(-49). Is c(g) a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.1 + 0.2. Let q = 4724\/17 + -278. Which is the third biggest value? (a) q (b) l (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 43460150?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 3685800 to the nearest ten thousand.\nAnswer: 3690000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand -60*i + 61 - 61 + 5*i - 3*i + 0*i + (3*i + 0*i - i)*(4 + 1 - 4).\nAnswer: -56*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 10451 to the power of 1\/4, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 14497 a multiple of 33?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 42*y + 27 - 279 for y.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 592 minutes before 10:00 AM?\nAnswer: 12:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 98772602?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*k = -2*k - 3*k. Solve -21*v + 24*v - 9 = k for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6 - (4 + (-12 - -6)) - 28 - 3?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 39.7, 2\/9, 0.2, -1\/16, 8\/5, 2 in decreasing order.\nAnswer: 39.7, 2, 8\/5, 2\/9, 0.2, -1\/16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 553 minutes after 10:45 PM?\nAnswer: 7:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -3 divided by -6187\nAnswer: 3\/6187","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -a + 4. Let h be n(0). Let u(d) = 3*d**2 - 5*d - 2. Let x be u(h). Is 2\/(4\/x)*5 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 894 and 894.\nAnswer: 894","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 388600 divided by 5\nAnswer: 77720","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 136651142 is divided by 265342?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-4)\/4 + 16 - 3. Let c = -12 + 30. Let o be 10\/y*c\/12. Put -2, o, 0.2 in increasing order.\nAnswer: -2, 0.2, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (9720\/(-42))\/15 - -15\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36 = -7*d + d + 3*n, -3*d - 5*n - 8 = 0. Let j(m) = -7*m**2 + 3*m - 2. Let l(r) = -8*r**2 + 4*r - 2. Calculate d*j(x) - 3*l(x).\nAnswer: -4*x**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*a = 6*t - 18, 19*a = t + 4*t + 17*a - 14 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 84*t - 50*t + 73*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -d**2 - 2 + 2*d - 2 - 11*d. Calculate the least common multiple of 4 and o(-7).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 - -12)\/((-355683)\/(-4293) - 83)?\nAnswer: -81","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -48*s - 99*s + 1813 + 757 + 76 for s.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-10)\/(-30))\/(1\/6). Which is the second biggest value? (a) -0.1 (b) 1\/2 (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -16 - -11. Let q(x) = x**3 - 8*x**2 + 3*x + 8. Let m be q(7). Let t = m - -19. What is the nearest to t in -2, w, 2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-16)\/(-10) + 6\/15. Suppose -5*x + 15 = p*u - 1, 20 = 4*u + 4*x. Suppose -2*z + 3*b = -0*b - u, 0 = -z + 4*b + 4. Which is smaller: 2\/5 or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 40591?\nAnswer: 40591","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 479.0283g?\nAnswer: 479028300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = 9*u**3 - 47*u**2 + 29*u + 27. Let w(n) = 5*n**3 - 24*n**2 + 14*n + 14. Let h(s) = -4*m(s) + 7*w(s). Does 9 divide h(19)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 53, 51, 49, 47, 45?\n\"Answer: -2*i + 55","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 - 2*z - 2)*(-z**2 + 0*z + 0*z) + 0*z**2 + 0*z**2 - z**3 - 1 + 84*z**3 + 18*z**3 - 28*z**3 to p*z**2 + f + q*z + l*z**3 and give l.\nAnswer: 75","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express t - 6*t - 2*t**3 + 3*t - 3*t**4 - 3 + 4*t**4 as d + n*t + p*t**3 + w*t**4 + r*t**2 and give w.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -766.562 rounded to the nearest 100?\nAnswer: -800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -4*m**3 + 5*m**2 - 12*m + 18. Calculate v(3).\nAnswer: -81","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26390*f + 2*u + 9 = 26391*f, 5*f = 4*u + 15 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 121 is divided by 41.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) be the first derivative of -n**4\/4 + 7*n**3\/3 - 7*n**2\/2 - n - 9. Give s(6).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14013?\nAnswer: 3, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = 3 + 3 - 4 - 4 + 1. Let u(i) = -12*i - 18. Determine 18*a(m) - u(m).\nAnswer: 12*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -26858.4 to the nearest 1000.\nAnswer: -27000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -4704 + 2565?\nAnswer: -2117","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 94422 is divided by 74?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = 6*t - t**2 + 2 - 3 - 5*t + 0. Let a(g) = 4*g**2 - 6*g + 5. Let x(k) = -2*a(k) - 10*p(k). Find the second derivative of x(y) wrt y.\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q = 3*v + 11, 5 = 5*v + 15. What is the tens digit of 12*3\/(2 - q)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1*((-5)\/20)\/(14\/8)\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 361 = -31*a - 27*a - 161 for a.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from crjxriic. What is prob of sequence ix?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = 2*n**2 + 4*n + 10. Let v be 60\/14*(-8 - -1). Let z be (-38)\/8 - v\/40. What is the tens digit of w(z)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 711 is divided by 528?\nAnswer: 183","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = 19*v**3 + v**2 + 4*v - 3. Suppose 5*x + 10 = 15. Calculate the remainder when 102 is divided by p(x).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 16 + -10 + -13 + 5 + 5 + -11 + 38?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = 70*b**2 + 2*b - 1. Let u be j(2). Suppose -4*a + u = -3*y, 0*y - 3*y + 137 = 2*a. Suppose -7*d = -2*d - a. Is 7 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -t**3 - 20*t**2 + 19*t - 4. Calculate k(-21).\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(-2 + sqrt(448) + sqrt(448)) + sqrt(448))**2 + 3.\nAnswer: -1152*sqrt(7) + 36355","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 22*m - 22*m + 9*m**2 to v*m**2 + y + d*m and give v.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express -168*x**2 + 425*x**2 - 179*x**2 + 3*x**2 - x**2 - x**2 + (-3*x**2 + 3*x**2 + x**2)*(-3 + 1 + 4) as s + h*x + n*x**2 and give n.\nAnswer: 81","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 divided by -85172.\nAnswer: 1\/21293","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -2944*a + 1. Let g be o(-1). Let s = -906 + g. Is s a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -13158*c - 1. Let t be k(2). Let a = -68317 - t. What is a rounded to the nearest 10000?\nAnswer: -40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*a = 27 - 3 for a.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14*2.1.\nAnswer: 29.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*m**3*v + 3*m**3 - 2*m**2*v + 10*m**2 + m*v + 48*m + v wrt m?\nAnswer: -12*m*v + 18*m - 4*v + 20","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 274829 is divided by 153.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 18\/24 + 1\/4. Suppose 5*b = -t - 9, -t = 2*t + b - y. Sort -3, -1, t in ascending order.\nAnswer: -3, -1, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = -7*f + 3*f. What is the common denominator of (15\/(-9))\/((-2)\/3) and 18\/(3 + (-60)\/(-8)) - f?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -97*y + 94*y = 2*h + 7, -3*y = 4*h + 17 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1313 is divided by 73.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-i**2 + i**2 + 2*i**2)*(-9 + 9 + 2*i)*(-i + 0*i - 31*i**2 - 4 + 28*i**2)*(3 - 3 - 1).\nAnswer: 12*i**5 + 4*i**4 + 16*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -323, -1053, -2269, -3971, -6159, -8833, -11993?\nAnswer: -15639","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 1 from 0.03379.\nAnswer: -0.96621","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2 + -5. Let v(q) be the third derivative of -59*q**5\/60 - q**4\/8 + q**3\/3 - 5*q**2. Let y be v(d). What is y rounded to the nearest 100?\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -3*h + 3. Let u(o) = -o**3 - 6*o**2 + o + 27. Let l be u(-4). Let d(t) = -11*t + 13. Calculate l*g(z) + 2*d(z).\nAnswer: 5*z - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = 19*r + 4. Let a(w) = -w - 1. Give -6*a(y) - d(y).\nAnswer: -13*y + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -79840*w**2. Let q(h) = 2*h. What is u(q(j))?\nAnswer: -319360*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 11745, 11730, 11715?\n\"Answer: -15*u + 11760","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = 8*w - 5. Give p(4).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 42149142?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = 25*i + 23. Let x be p(9). Suppose -15*b + x + 97 = 0. Calculate the remainder when 114 is divided by b.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: Is 378484260 a multiple of 33?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 119899 to the nearest integer?\nAnswer: 346","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + -20 + (-10584)\/(-539)?\nAnswer: -4\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = 3*u**3 - 4*u**2 + 6*u + 2. Let i be q(2). Suppose 2*a = g + i, g - 13 = -2*a + 1. Calculate the remainder when 204 is divided by a.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*n**3*r**2*y - 53*n**3*y**2 - 1428*n*r**2*y**3 + 2*n*y**3 + 4*r*y**2 wrt r?\nAnswer: 4*n**3*y - 2856*n*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/10 + (44\/10)\/2.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -25769*d - 25795*d + 51585*d.\nAnswer: 21*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -7966\/9 or -884?\nAnswer: -884","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = 74*i + 74*i - 143*i. Let b(x) be the third derivative of 6*x**2 + 0 + 0*x**3 + 0*x**4 - 1\/15*x**5 + 0*x. What is t(b(v))?\nAnswer: -20*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1213 + -3000203?\nAnswer: -2554550","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -230320 (base 5) in base 3?\nAnswer: -102021002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 25 divide -194 + 182 - -1*2787?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -14*x + 42*x - 24*x**2 + 22*x**2 - x**3 to the form c*x + n + b*x**3 + z*x**2 and give n.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-3)\/(-12))\/(68\/(-16))?\nAnswer: -1\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-21)\/(-12)*2*6. Let v = s - 18. Suppose 739 - 3192 = -5*o + y, 5*y = -v*o + 1483. Is o composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 101182523?\nAnswer: 13, 479, 16249","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4543*u - 9810*u - 3701*u.\nAnswer: -18054*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g + 9 = -61. What is the greatest common divisor of 14 and g?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1788155291 a multiple of 2353?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 11.8962 - 1.8962. Suppose -2*z = 3*z + m - 4, 3*z - m - 4 = 0. Which is the nearest to z? (a) -0.1 (b) q (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1032)\/1161)\/(((-3)\/9)\/(((-1)\/(-1))\/22)).\nAnswer: 4\/33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 60565714409 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -o**4 - 12375*o**2*u**2 - 9*u**2 + 33*u + 15 wrt o?\nAnswer: -4*o**3 - 24750*o*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -11 + 16 + 6 + (-59)\/5. Put 5, d, 1\/5 in decreasing order.\nAnswer: 5, 1\/5, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (x + 0*x + x)*(-x - x + x) + (9*x - 16*x - 16*x)*(-x + 3*x + 4*x) in the form q*x**2 + w*x + j and give q.\nAnswer: -140","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + 18\/10 - (-1)\/5?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -h**3 + h**2 - 3*h + 3. Suppose m = 4*t - 7*t, 0 = -2*t - 2. Let g(z) = 2*z**3 - 2*z**2 + 8*z - 8. What is m*g(w) + 8*i(w)?\nAnswer: -2*w**3 + 2*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 114 + -60. Let m(l) = l**2 - 7*l + 8. Let o be m(6). Suppose -5*p + 180 = -n, o*p + 2*n = 5*n + 72. What is the highest common factor of p and w?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = 25*a**3 - a**2 - a. Suppose -2*p = f - 42, 3*p = f - 67242 + 67240. Calculate the remainder when r(2) is divided by f.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 30 + -36 + 5\/((-10)\/(-78)). Let r(m) = 2*m**2 - 17*m + 11. Let x be r(8). Calculate the greatest common divisor of x and v.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1359?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from aaaoaocoooaooooca. Give prob of sequence oooo.\nAnswer: 9\/170","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1\/(4\/(-650))*(-396)\/165. Let v = 395 - i. Solve -j - v*r + 5 = 0, 2*r + 10 = 3*j + 29 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 1\/4 of a millimeter?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 30 - 25. Suppose 6*n - 7*n + o = 0. Suppose 0*w + 5 = -w - 2*h, 2*w + 11 = -n*h. Sort -2, w, 0 in decreasing order.\nAnswer: 0, -2, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 288160 and 230528.\nAnswer: 1152640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = 4*j**3 + 5*j**2 + 37*j - 86. Let t(y) = y**3 + y**2 + y - 16. Let b(r) = -5*t(r) + w(r). Calculate b(-6).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11525447 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 98844?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i + 2 = 3*q, 5*q + i + 2 = -i. Suppose -577 = -7*t - 115. Suppose 2*y - t - 2 = q. Is y a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -70 + 262247584.\nAnswer: 262247514","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -m**3 - 24*m**2 + 21*m - 45. What is the remainder when 821 is divided by a(-25)?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -22*z**2 - 7*z**2 + 74*z**2 to a*z + w*z**2 + t and give w.\nAnswer: 45","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 4 - 3)*(-4*p + 2*p + 3*p)*(2*p - 4*p + p).\nAnswer: 3*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is two fifteenths of a minute in milliseconds?\nAnswer: 8000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-225)\/(-2) + (-30)\/(-20)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1915026450?\nAnswer: 2, 3, 5, 109, 117127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 49\/671 and -54\/1579171.\nAnswer: 96329431","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 divided by -185428?\nAnswer: -1\/46357","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) 2\/13 (b) 4 (c) -202 (d) 476\/3 (e) 2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 18149106 a multiple of 809?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.5, 3, 0.215, 4, 1\/11?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Do 0 and -1\/2114 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = 16*u - 12. Let o(l) = -36*l + 24. Calculate -7*c(b) - 3*o(b).\nAnswer: -4*b + 12","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*j + 105 = -16*j. Calculate the remainder when j is divided by 6.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -41028768 divided by -24.\nAnswer: 1709532","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 1659228, 1659233, 1659240, 1659249, 1659260?\n\"Answer: m**2 + 2*m + 1659225","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is (4 + -12)\/(-8) - -1860 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*b + 193*s - 192*s - 20, 2*b - 5 = -s for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 105e42 + -2?\nAnswer: 105e40","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*d + 3*v + 2*v + 5, -3*d = v - 1 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 218 - 190. Let c = 117 - 47. Calculate the greatest common divisor of i and c.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n = -2*n - 3*b - 17, -3*n = 2*b - 6. Is n even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*w + 3 = 12*n, 0 = -w - 4*n - 59 + 58 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 82 minutes after 2:13 AM?\nAnswer: 3:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*x**2 - 4 + 4)*(-93*x - 169*x - 38*x) as m*x + g*x**2 + u*x**3 + y and give y.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 9 + 0. Suppose -n = n - 10. What is the second derivative of 12*i - y*i + n*i**2 - 2*i**2 wrt i?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 2030 - -2?\nAnswer: 2032","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is n in -2*n**3\/7 + 398*n**2\/7 - 5520*n\/7 = 0?\nAnswer: 0, 15, 184","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*q - 59 = -y + 14, y - 3*y - 20 = -9*y + 3*y for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 41305132632028 - 7971477546587176957\/192990. Let o = 1\/12866 - v. Let i = 352 + o. Which is the closest to 1? (a) 3 (b) i (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 2, k: 8, i: 2}. Give prob of picking 1 i and 1 e.\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s = 10 - 0. Suppose s*h - 272 = -3*t + 2*t, 4*h - 2*t - 560 = 0. Let j = -81 + h. What is the remainder when j is divided by 15?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/(63\/501) + (50 - 2320\/40).\nAnswer: -1\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -117125.70141 rounded to the nearest 1000?\nAnswer: -117000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s\/s**(-2\/31))\/(s\/((((s*s**(1\/3))\/s)\/s*s)\/s)*s))**(-45)*(s\/s**(-1))**(7\/5)\/(((s*s**4)\/s)\/s*s**5*s) assuming s is positive.\nAnswer: s**(10214\/155)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 376086 is divided by 1717?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1 - -6. Suppose -f = 0, 6*k - o*f + 10 = k. List the prime factors of (-1)\/(k\/(-6)) + (48 - 10).\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -4*u**2 + 20*u - 6. Let j be p(9). Let x be (-4)\/8 - (-43445)\/j. Let q = -290 - x. Which is the second biggest value? (a) -0.4 (b) q (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-1 - 9\/6)*(-776)\/10. Let o = f + -188. Let k(i) = -i**3 + 8*i**2 - 11*i - 4. What is k(o)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -15\/15481 and 28\/685.\nAnswer: 77405","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 953916.69877 - 953899. Let f = 17.7 - k. What is f rounded to four dps?\nAnswer: 0.0012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1593946?\nAnswer: 2, 23, 34651","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_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: Let w = 3727 - 672. Is w a multiple of 28?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -51*k - 111 + 158 = -667 for k.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -3*w**2 + 2*w**2 - 13 + 0*w**2 - 2*w + 11*w. Let u be x(4). Suppose 15 = 2*c - u*c - 4*i, 4*i = -4*c - 12. Let p(g) = g. Calculate p(c).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (-3 + (sqrt(162)*-2 - sqrt(162)))**2*-4 + (1*sqrt(162)*2 + sqrt(162)*2 + 1 + sqrt(162))**2.\nAnswer: -1816 - 558*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -318, -563, -750, -885, -974, -1023, -1038, -1025?\n\"Answer: -z**3 + 35*z**2 - 343*z - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*q + 4*y - 174 + 50, -4*q + 159 = -3*y. Suppose -7*d - 5*d = q. Let o(p) = 8*p + 6. Determine o(d).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*s**3 - 11073*s**2 + 2618994*s = 0.\nAnswer: 0, 254, 3437","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 4\/6*6213\/38. Solve -4 = s*h - 113*h for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 424584?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -8.46 + -1.866. What is c rounded to one decimal place?\nAnswer: -10.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -58 + 102. Suppose -15 = 3*l, 3*v - d = -4*l + 2*l. Let z = 33 - v. Calculate the highest common factor of z and 165.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 44 and 17552.\nAnswer: 193072","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nb when two letters picked without replacement from dybbybynnyibyybd?\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (170\/(-4)*-8)\/((-7)\/(-112)*2)?\nAnswer: 2, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2808, -3053, -3406, -3867, -4436, -5113?\nAnswer: -5898","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 139086387?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 984 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w - 11 = 5. Solve -3*j - 4 = -j + 3*k, -4*j - w = 2*k for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.1602 and 924.\nAnswer: -148.0248","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -270 + 270. Solve 0*h**3 - 3\/2*h**4 + 0*h + x + 3\/2*h**2 = 0 for h.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 3, 18.6, -1.5?\nAnswer: -1.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 2.8 (b) 25 (c) -0.1 (d) 5\/6 (e) 0.01\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 346*c - 698 = -1091 - 6527 for c.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ovoooooooovo. What is prob of picking 2 o?\nAnswer: 15\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -46 - 22 = -4*s - 4*x, -5*s + 4*x = -67. Solve 3*d + 5*w = -s, 0*d = 5*d + w + 25 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 63230101?\nAnswer: 11, 1627, 3533","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -i**3 + 4*i + 4. Give t(-4).\nAnswer: 52","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1668 and 12960.\nAnswer: 1801440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -36671 divided by 70.\nAnswer: -36671\/70","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2828094?\nAnswer: 2, 3, 139, 3391","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l = 4*l + 190. Let b be l\/20*(-8 - 0). Let j = 8 + -3. Solve -13 = j*g - b for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.29 - -0.21. Suppose 2*b + 12 = 6*b. Let j be (-3 + 5)\/(-8) - b\/(-6). Put -4, j, a, -2\/7 in decreasing order.\nAnswer: a, j, -2\/7, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 110844 - -3?\nAnswer: 110847","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 368088 and 350?\nAnswer: 9202200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express -56878*b**2 + 4*b**3 - 6*b**3 - 41*b + 56878*b**2 - 3 as z*b**2 + m + i*b + n*b**3 and give i.\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 311 divide 75313?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 6 + (-51)\/6 + 3 + 0. Let p(x) be the second derivative of 0 + 1\/2*x**2 + a*x**3 - 2*x. Differentiate p(q) wrt q.\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = 10*d - 5895. Let x(p) = -6*p + 2946. Determine -4*j(a) - 7*x(a).\nAnswer: 2*a + 2958","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.05 and 57511653.\nAnswer: 2875582.65","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 4572 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c = -4*o - 1974 + 19900, o - 4483 = 2*c. Is o a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m + 15 = -3. Suppose 5*w = -h + 7, 5*h + 19 = 4*w - 4. What is the smallest common multiple of m and w?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 80*j = 101*j - 168 for j.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 325 = -5*i + 5*t, 4*i + 3*t + 25 = -270. Let n be 8\/44 + i\/22. Let j = n + 5. Is j at most as big as 5\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*l + 43*l - 8008 = 0. Is l a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 827246472 a multiple of 2067?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 45, -19, -32, 3, 2 in descending order.\nAnswer: 45, 3, 2, -19, -32","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 4894, 4888, 4880, 4870?\n\"Answer: -c**2 - 3*c + 4898","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -49*i**2 - 1. Let n(t) = 20061*t. Determine m(n(q)).\nAnswer: -19719742329*q**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bbqm when four letters picked without replacement from mmmbmbmmmmmmmmbqq?\nAnswer: 3\/1190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*d - 12 = 5*m, -d + 0*d - 4*m - 11 = -8*d + 4*d for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -6517 + 110787\/17. Sort f, -0.93, 1, 1\/4 in descending order.\nAnswer: 1, 1\/4, f, -0.93","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 20169 is divided by 20159?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:29 AM and 8:36 AM?\nAnswer: 127","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x - 4 - 8 = 0. Let m = 22 + 302. Let d = m + -320. Solve -d - 2 = x*r for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n + 29 = -3*m, m - 6 = 3*m. Suppose 4*v = -4*d + 16, -2*v = -n*d + 2*d. Let -2*t**3 + 0*t - 2\/3*t**d - 2\/3*t**5 - 2*t**4 + 0 = 0. Calculate t.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = 8*h**2 + 492*h - 293. What is l(-63)?\nAnswer: 463","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -212012110010 - -12?\nAnswer: -212012102221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -350 divided by -70?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6668*x + 6685*x - 209610. Does 18 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 352, 0, 770 in decreasing order.\nAnswer: 770, 352, 1, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2512070, 5024185, 7536300, 10048415, 12560530, 15072645?\nAnswer: 17584760","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6 = -2*g - 3066*m + 3060*m, -4*g - g - 5*m + 8*m - 69 = 0 for g.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 309 and 877354?\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-1\/19)*d*d*d**(-1\/4))\/((d*(d\/(d**(7\/5)*d*d))\/d)\/(d*d**7\/d)) assuming d is positive.\nAnswer: d**(4217\/380)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 255166.3 + -245202. Round o to the nearest one hundred.\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = 256*c**2 + 3308*c - 34. Give w(-13).\nAnswer: 226","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:00 PM and 9:56 AM?\nAnswer: 716","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: Let x(t) be the first derivative of 1 - 3*t - 3\/2*t**2. What is the smallest common multiple of x(-5) and 22?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 109949043?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from eefmeqfumumm. Give prob of picking 2 m and 2 e.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-567)\/5)\/(8\/(-5)). Let u = -71 + r. What is the nearest to 0.1 in u, -5, -4?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + -1*6*(1*sqrt(13))**2 + -5 - ((((sqrt(65) + -5*-2*sqrt(65) - sqrt(65)) + sqrt(65))\/(sqrt(5) + sqrt(20)*5))**2 + -1).\nAnswer: -92","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*d**2 + 195*d**3 + 16*d + 71*d**3 - 2 - d**4 - 265*d**3 to the form l*d + f + r*d**2 + j*d**4 + n*d**3 and give n.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -640.182173 rounded to 1 dp?\nAnswer: -640.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 5, o: 8}. What is prob of sequence ovv?\nAnswer: 40\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 315, 1251, 2811, 4995, 7803, 11235?\nAnswer: 15291","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -179 divided by 2371.\nAnswer: -179\/2371","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -78 - -346. Suppose -650 = 11*z + 1297. Let f = g + z. Calculate the highest common factor of 13 and f.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*f - g - 536 = -9*f, -3*f - 5*g = -560. What is the remainder when 2158 is divided by f?\nAnswer: 178","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 445?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put 13.8, 1, -17613 in decreasing order.\nAnswer: 13.8, 1, -17613","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 4*f**2*o**3 - 166529465*f**2 - 453354765*f*o**3 wrt f.\nAnswer: 8*o**3 - 333058930","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jm when two letters picked without replacement from miiimiyijmiimyi?\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = s**2 - 8*s + 8. Let z be g(7). Let d = -158\/5 + 32. Which is smaller: d or z?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1280732945295 + 2*d**2 - 1280732945295.\nAnswer: 2*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -4 (b) 5 (c) 16.2660978\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-2 + 6\/5)\/((-4)\/150). Factor -22*a**4 + 15*a**5 - 107*a + 11*a**3 - 13*a**4 + d*a**2 + 82*a + 5 - a**3.\nAnswer: 5*(a - 1)**3*(a + 1)*(3*a - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1\/3*t - t**4 - 5\/3*t**2 + 0 - 7\/3*t**3.\nAnswer: -t*(t + 1)**2*(3*t + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -40*u = -c - 3*c - 43*u + 16, -19 = -3*c - 4*u for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: ((-5)\/(700\/8))\/(6\/(-42)*1)\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3018 divided by -11.\nAnswer: 3018\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sss when three letters picked without replacement from {s: 8}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -102121223 + 62?\nAnswer: -102121131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(1\/18)\/(g**20*g))\/((g*g**(1\/2))\/g**22) assuming g is positive.\nAnswer: g**(-4\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -3439495 rounded to the nearest one thousand?\nAnswer: -3439000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) be the third derivative of 0*g + 17\/6*g**4 + 136*g**2 + 0 + 4\/15*g**5 - 1\/10*g**6 - 4*g**3. Let n(a) = 0. Calculate a.\nAnswer: -2, 1\/3, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.8493329 centimeters to nanometers.\nAnswer: 8493329","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l and 1 e when two letters picked without replacement from {l: 6, e: 13}.\nAnswer: 26\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 11 - 10. Let v be -2*i*18\/(-12). List the prime factors of v + -6 + (-12)\/(-1).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) be the second derivative of -31*z + 0 + 0*z**2 + 11\/6*z**4 - 34\/3*z**3. What is the second derivative of m(w) wrt w?\nAnswer: 44","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -218*v - 2*v**3 - 223*v - 196*v - 235*v + 872*v.\nAnswer: -2*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b20 (base 13) to base 5\nAnswer: 30020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (0 - 3)\/((-6)\/(42 - -6)). Suppose 0 = -3*n - w + 36. Solve n*l = v - 0*v + 4, v = 3*l - 3 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(252)*3 - 3*sqrt(448))**2.\nAnswer: 252","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = f**3 - 9*f**2 + 10*f - 13. Let s be (-76)\/(-10) + 4\/10. Let o be p(s). Suppose 0 = o*n - 18 - 144. What is the units digit of n?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 129, 18, 4.75, -6?\nAnswer: 4.75","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is -300 greater than or equal to -21?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 204\/(-42) + -1 + 6 + (-5532)\/(-84). Let d(a) = 6*a**2 - 7*a + 3. Let u be d(-6). Suppose 3*h - u = -h + b, l = h - b. What are the prime factors of h?\nAnswer: 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -54693836 and 2?\nAnswer: -109387672","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) be the third derivative of -j**5\/60 + j**4\/24 - j**3\/3 - 70*j**2 - 2*j. What is c(-2)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.995 - 0.9. Round t to two decimal places.\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 120606?\nAnswer: 2, 3, 20101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1 - 1.2. Suppose 3*r - 10 = -2*r. Let s = 18607 + -18602. Which is the fourth smallest value? (a) p (b) r (c) s (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -6577*l**2 - 2 + 6479*l**2 + 3 in the form k + i*l**2 + m*l and give k.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 7375*m**5 - 7*m**2 - 544 wrt m.\nAnswer: 442500*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 5, u: 8}. What is prob of picking 1 c and 2 u?\nAnswer: 70\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 18.74001 * -0.2\nAnswer: -3.748002","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*a + 3*a + 2*a)*(-4*a**2 + 3*a**2 - 2*a**2) - 15*a + 15*a + 7*a**3.\nAnswer: -8*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(360)\/(sqrt(9) - sqrt(144)))\/sqrt(8).\nAnswer: -sqrt(5)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*g + 17 = -o, 13*o - 12*o - 3 = g for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*p - 2*w - 21, -5*w = 2*p - 3*p - 15 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-112)\/(-28) + (-1 - 3). Which is greater: 2\/11 or u?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z - 4 = -3*b + 9, b = 5. Let f(u) = -u**2 + 30*u - 25. Let n be f(29). Let a be (1*-2)\/(2\/(-5)). Put n, a, -3, z in decreasing order.\nAnswer: a, n, z, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-3 - 15)\/((-6)\/(-81)*-3). Does 8 divide (g\/(-45) + -3)*(-40)\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.16 + 0.04. Let x = s + -0.28. Let i = -168 - -675\/4. Which is the closest to -0.1? (a) x (b) i (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 5264 - 3879. Is o greater than or equal to 1387?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -211376*k - 2113771. What is a(-10)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.095 + -0.195. Which is smaller: -7.1 or r?\nAnswer: -7.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -4\/3 and 0.3821 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1004268387?\nAnswer: 3, 17, 3391, 5807","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2865 + -8594\/3. Put z, -0.096, -0.5 in decreasing order.\nAnswer: z, -0.096, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2193418 divided by -3?\nAnswer: -2193418\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*o**3 - 864*o + 1748*o - 4 - 860*o - 8*o**3 in the form n*o**3 + t + l*o**2 + s*o and give l.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is -10768034 smaller than -10768038?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + sqrt(272)*-2 - (0 + (sqrt(68) - (sqrt(68) + (sqrt(68) - (sqrt(68) - (sqrt(68)*-3 + sqrt(68) - sqrt(68)))) - sqrt(68)))\/sqrt(4)))**2.\nAnswer: -72*sqrt(17) + 2457","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -43 by 946108.\nAnswer: -43\/946108","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 76800 is divided by 143.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2 - -1) + 2 + (-4 - -4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v + 3*v = 5*n + 43636, 2*v = 2*n + 17456. Let o be n\/(-60) - (-2)\/(-5). Let t = 209 - o. Calculate the greatest common factor of t and 32.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -493\/294 + 1\/98. Sort z, 5, 1 in descending order.\nAnswer: 5, 1, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*u**3 + 3168150*u**2 - 3168150*u**2.\nAnswer: -7*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 6 and 1609230.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Work out 435658 - -22.1079.\nAnswer: 435680.1079","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-21)\/35)\/(13\/((-715)\/33)))\/((-43)\/86).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 16663 to the power of 1\/2, to the nearest integer?\nAnswer: 129","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 123037391 a multiple of 49?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -10 + 8. Let o be (-11)\/((-605)\/15)*24. Put f, -0.5, o, -3\/7 in descending order.\nAnswer: o, -3\/7, -0.5, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 639228652?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -2 + 0 - 99586\/(-49130). Let m = 159611\/78030 - c. What is the common denominator of 115\/18 and m?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1036 divided by -259\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (((-1 + sqrt(1053))*3*-5)**2 - ((-4*1*sqrt(13))**2 + (sqrt(13) - 6*4*sqrt(13)))).\nAnswer: -4027*sqrt(13) + 236942","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*l + 17 = j, -2*l + 191*j - 189*j + 16 = 0 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 14509 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/5 in 5.22, 0.03, 5, 0.2, 0.13?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-3834)\/33 + 2 - -3. Let k = -111 - d. Let t = -1 - -6. What is the nearest to -3 in 4, k, t?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2\/5*o + 2\/5*o**3 - 4\/5*o**2 + 0 = 0. Calculate o.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 403 is divided by 45.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j + 0 = -15. Solve -l = j*l + 8 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 take away -127073.9685?\nAnswer: 127076.9685","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -13 + 24. What is the remainder when k is divided by 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -100202011111001 (base 3) in base 13?\nAnswer: -10c4938","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 320240 to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 360\/63 - (-2)\/7. Let i = g - 2. Suppose -177 = -4*y + 5*a, y = i*y - 5*a - 139. What is the units digit of y?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 2, x: 3, n: 12}. Give prob of picking 2 n and 1 g.\nAnswer: 33\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((2 + -2*sqrt(1053) - (sqrt(1053) - (2*sqrt(1053) + sqrt(1053) - sqrt(1053))*2))*1 + -2 + 1)*-5)**2 + -5.\nAnswer: 450*sqrt(13) + 26345","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 minus 20870113?\nAnswer: -20870116","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*k - 3*k + 2*k**2 + (-k + 4*k - 5*k)*(3*k - k + 0*k) + 618*k - 36*k**2 - 618*k - 4*k**2 + k**2 + 2*k**2 in the form d*k**2 + q*k + p and give d.\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve w - 9 = 2*n, 3*n - 20*w = -2*w + 3 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -70*b - 717. Determine u(-11).\nAnswer: 53","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*y - 20 = 0, 5*s - 280*y + 276*y - 26 = 5 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 5713196361 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d**2\/6 - 24047*d\/6 - 60080 = 0. What is d?\nAnswer: -24032, -15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n**(-2\/11)\/n**6*(n*n*n*n**(-1)*n)\/(n\/(((n**(-4)*n*n*n)\/n)\/n))*n**(-2\/5)*n*(((n\/(n**(2\/3)*n*n))\/n)\/n)\/n*(n\/(n*n**1))**(-5\/4) assuming n is positive.\nAnswer: n**(-6599\/660)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 106*b**2 + 115*b**2 + 44 - 36*b**2 + 4.\nAnswer: 185*b**2 + 48","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -3*g + 1. Let x = -195.5 - -195. Which is the nearest to 0.5? (a) g (b) -4 (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3402 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*p - 170 = -6*p. Let f = -225 + 335. Calculate the highest common factor of f and p.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) be the first derivative of -39*g**5\/20 - g**3 - g**2\/2 + g + 28. Let t(x) be the first derivative of b(x). Is t(-4) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 28 a factor of 454412?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = 8*z**2 - 13*z - 5 - 12 + 18. Is p(-5) a multiple of 38?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = 2*c**2 + c. Let q be p(1). Suppose 0 = -4*j + 3*y + 80 + 2054, q*y - 526 = -j. What are the prime factors of j?\nAnswer: 2, 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 160716 a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p = 3*z - 36, 5*z + 19 = -6. Let l = -4 - -34. Suppose k - l = -4*k. Calculate the remainder when p is divided by k.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (44 - 52)\/((-2)\/(-2)*-1). Let l be ((-28)\/(-21))\/(n\/12). Solve -14 = -5*m + x, -x - 9 + 4 = -l*m for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -34840 - -34845. Suppose 3*x - 5*u = 120, -2 - 58 = -x - 5*u. What is the greatest common factor of x and f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -o**3 + 22*o**2 + 3*o - 64. Let c be d(22). Suppose -a - 137 = -2*a - 5*l, -3*a + c*l + 326 = 0. What is the greatest common divisor of a and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of ((-8)\/66)\/((-44)\/(-198)) and -10\/3.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -297*i - 37. Is h(-4) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7065 divided by 3?\nAnswer: -2355","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Are -1864312 and -1864315 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1, 0.22, -0.2, -2\/3, -0.18?\nAnswer: -0.18","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -7*a + 3. Let l(i) = 5*i - 2. Let z(k) = -8*l(k) - 5*v(k). Let u = -39291 - -39288. What is z(u)?\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-9)\/15 - (-6)\/10. Suppose -16 + c = -4*d. What is the third derivative of 4 + 0*o**2 - d - 6*o**2 + 4*o**3 wrt o?\nAnswer: 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2 - 2*j - 2 + (-16*j - 36*j + 18*j)*(8 + 0 + 3).\nAnswer: -376*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zioozi. Give prob of sequence oz.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*n + 7*n + 7*n.\nAnswer: 8*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c = 5*q - 3355, 7*c + 2684 = 4*q + 10*c. Is q a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 29556551 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*g + 2*g = 4. Suppose g*h - 4 = z + z, 3 = h. Does 12 divide 3 - (-61 + z)\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1242360 divided by 10353?\nAnswer: 120","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 1572805 not equal to 1572806?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m\/(m*m*m**(-7\/6)))\/m*m\/(m\/(m*m*m*m\/m**(-2)*m*m*m*m)*m*m))\/(m**(-12)*m\/m**9) assuming m is positive.\nAnswer: m**(163\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 150 divide 2270400?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 613?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:01 PM and 5:41 AM?\nAnswer: 400","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand -19 - 16*r**2 + 19 + (4*r**2 - 2*r**2 - 3*r**2)*(2 + 0 - 1) - 15*r + 14*r + 4 - r**2 + 15*r.\nAnswer: -18*r**2 + 14*r + 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (18*j - 50*j + 18*j)*(4*j + j**2 - 4*j) to the form m*j**3 + f*j + k + z*j**2 and give m.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2007*a*r**4 + 732*a*r**2 + 5*a*r - 1050*a - r - 6 wrt r.\nAnswer: 24084*a*r**2 + 1464*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -5247938 times -0.04?\nAnswer: 209917.52","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -o**3 - 5*o**2 + 5*o + 37. Let h be v(-4). Let t(w) = 5*w**3 + 2*w - 2. Let r be t(h). Solve k = -r*k + 30 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.187377 rounded to 3 dps?\nAnswer: 0.187","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 10 - -30?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 17*p**3*t**3 - 10*p**3*t - 2*p**2*t + 132*p*t**3 wrt p?\nAnswer: 102*t**3 - 60*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l = -l - 4. Suppose -l*t + 6*t - 150 = 0. Calculate the highest common divisor of t and 50.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 192091 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1287 and 234?\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u = -u + 8. Suppose 0 = u*l - 11 - 1. Suppose m - l = 22. What is the units digit of m?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = 16*q**3 - 11*q**2 + 16*q + 21. Let j = 12 + -9. Let f(w) = 2*w**2 + 0*w + 0 - 3 - j*w**3 - 3*w - 1. Calculate -2*d(v) - 11*f(v).\nAnswer: v**3 + v + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 4\/(-12) + 95\/15 + -6. Put f, 0.4, -0.08 in decreasing order.\nAnswer: 0.4, f, -0.08","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 57979 divided by 5\nAnswer: 57979\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) be the first derivative of -a**4\/4 + a - 2. Let x be g(1). Factor 2\/9*w**2 + 2\/9*w**5 - 2\/9*w**4 + 0*w - 2\/9*w**3 + x.\nAnswer: 2*w**2*(w - 1)**2*(w + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -59280*x**3 + 37714 wrt x.\nAnswer: -177840*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -81886*k**3 + 23725.\nAnswer: -245658*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 309 minutes after 8:06 PM?\nAnswer: 1:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -c**3*p - 1548730*c**3 - c**2*p - c*p + 1544*c - p - 4 wrt c.\nAnswer: -6*p - 9292380","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -71099 + 7394219\/104. Let g = -15659\/272 + 950\/17. Calculate the common denominator of g and w.\nAnswer: 208","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.11 in -0.024, 9\/7, -4?\nAnswer: -0.024","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 17663 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*y - 9*i + 7*i - 1366, 2*y + 4*i = 708. What is the tens digit of y?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 13\/8 of a litre?\nAnswer: 1625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1135153*m - 1135540*m + 10449 = 0 for m.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 7540855?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = w + 2. Let u be t(-2). Let r = 211 + -213. Sort u, 4, r in increasing order.\nAnswer: r, u, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 36455477 take away -0.4?\nAnswer: 36455477.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f + 4 = 5*f. Suppose -a = 5*q - 15, f*q + 5*a = 1 - 18. Suppose -821 = -4*l - 3*g, -3*l + 27 = q*g - 594. Is l a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.0122 + -37.4522. Let v = 0.44 + o. Let h = v + 37.003. What is h rounded to 2 dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 190? (a) 0 (b) 0.8 (c) -436 (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 230948816 a multiple of 28?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Product of -284 and -42.\nAnswer: 11928","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(4\/5))**(-3\/37) assuming a is positive.\nAnswer: a**(-12\/185)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 55\/(-25) - (-8)\/(-10)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 244?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = 2 - 2*h + 3*h - 3 + h. Let x be y(3). Solve j - a - x = a, -4*j + a + 6 = 0 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -5 + -8756?\nAnswer: -8761","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24*j + 26*j = -2*a - 12, -5*a - j - 34 = 0 for a.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*s + 2*v = -2*v - 9, 2*s + 2*v - 18 = 0 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 553493*i**3 + i - 567871*i**3 + 0*i - 4396 wrt i.\nAnswer: -86268*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 13, -0.1476, -1\/6?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (705\/282)\/(30\/(-72)).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -9*g - 11. Let k(d) = 10*d + 12. Let c(s) = 5*j(s) + 4*k(s). Let m be c(-6). Solve -b - x = 4*x + m, 4*x + 22 = -2*b for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -40 or -11028\/275?\nAnswer: -40","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -5704, -11317, -16930, -22543, -28156?\nAnswer: -33769","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -19\/22 (b) 56\/9 (c) -0.4 (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2093953?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 16\/40*(-3)\/66*10?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = 45*m**3 - 6*m**2 - 16*m + 5. Let r be x(15). Let j = 1493809\/10 - r. Let g = -910 - j. Calculate the common denominator of -109\/22 and g.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 495 smaller than 362048\/733?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 50372 and 6182428?\nAnswer: 196","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7*o + 5*o - 2 + 24*o**2 - 4)*(0*o + 0*o + o**2).\nAnswer: 24*o**4 - 2*o**3 - 6*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -19 or -163\/8?\nAnswer: -163\/8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19 = 2*p + 3*j, 19*j - 14*j + 15 = 0 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 107*z**2 - 64*z**2 + 9*z - 83*z**2 - 10*z.\nAnswer: -40*z**2 - z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 640.4248nm?\nAnswer: 0.00006404248","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) be the second derivative of 4*g**7\/3 - 245*g**4\/12 - g + 161. Find the third derivative of v(h) wrt h.\nAnswer: 3360*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-42)\/(-24) - (-3 + 19\/4))\/2. What is the third smallest value in -0.0408, j, -2\/7, -0.4?\nAnswer: -0.0408","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -3*d**2 - 64*d - 74. Let g be u(-20). Let n(y) = 66*y - 398. Let m be n(g). What is the third smallest value in m, -1.8, -1\/7?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q - 3*y = -21 + 7, -5*y + 23 = -3*q. Let o be 2*(-2)\/24*-2. Which is smaller: q or o?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -8 + 15 + 55\/(-11)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -67 - -73.5. Let r = v - 6.3. What is the third smallest value in r, 0.4, -0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -v - 10. Let q be j(-13). Suppose 5*f - 121 = 2*z, -5*z + 2*f = -q*f + 280. Is -52 < z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -32989507258+-0.322\nAnswer: -32989507258.322","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/11, -0.001662, -2, 80\/7, 4\/7 in decreasing order.\nAnswer: 80\/7, 4\/7, 2\/11, -0.001662, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) be the second derivative of -13 - 3*t + 0*t**2 - 1\/8*t**3 - 13\/32*t**4. Factor h(o).\nAnswer: -3*o*(13*o + 2)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -5.5 + 5. Let x = 0.1 + 0.3. Sort v, -2\/3, x in ascending order.\nAnswer: -2\/3, v, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 734 or 76?\nAnswer: 76","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tstv when four letters picked without replacement from ovbbttbtdsd?\nAnswer: 1\/1320","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor b**4\/6 + 8*b**3 - 49*b**2\/6.\nAnswer: b**2*(b - 1)*(b + 49)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -45266*i*w - 167977*i - 862*w - 174 with respect to w.\nAnswer: -45266*i - 862","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1268*g**2*i**2*n**3 + g**2*i*n**2 + 391*g**2*n**3 + g**2*n**2 - 1256*g*i**2*n**2 + 24*g*n**2 wrt n.\nAnswer: 7608*g**2*i**2 + 2346*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 562 is divided by 82?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.42 - 0.02. Let n = -0.7 + j. Let g = 2394 - 2391. What is the second biggest value in n, 1\/6, g?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 506 - 503. Factor 0 - 1\/7*x**j - 1\/7*x**2 + 0*x.\nAnswer: -x**2*(x + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u + 2 = -4. Suppose 5*p + 28 = 2*t, 0 = p - 4*p - 3*t - 21. Let d = 6 + p. Solve d = 5*k - 5*h, 0 = u*k - 0*h - 4*h + 8 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 + 1\/2)\/(1\/(-2))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t + 4 - 10 = -2*m, -9 = -t + 2*m. Suppose 4 = 7*d - t. Solve -b - 2*j + d = 0, 0 = 2*b - 0*b + 2*j + 4 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 6, r: 4, k: 1}. What is prob of picking 2 l?\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (8\/384*8)\/((-1)\/8)?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 224751\/22 (b) 1 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express -d - 82 + 3090*d**3 - d + d + 2*d**4 - 3089*d**3 as n*d**3 + g + r*d + u*d**2 + j*d**4 and give u.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*n = -2*l + 14, 3*n = 87 - 75 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 34750166.\nAnswer: 2, 11, 1579553","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (6\/9*2)\/(142\/(-323121)*-74)?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = n**2 - 3*n - 1. Determine l(-3).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.316 and 1.00166.\nAnswer: -0.31652456","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 410 and 125296?\nAnswer: 626480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 256593305 to the nearest integer?\nAnswer: 635","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 546747 and 465.\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -6 - -2. Let q = p + 0. Let r = 10 - 10. What is the closest to r in -1\/5, q, 5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.7 in -0.4, 98, -3?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 0.1, -0.826, -43.49, -3 in increasing order.\nAnswer: -43.49, -3, -0.826, 0.1, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g = -g + 264. Let m = g + -63. Does 12 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -7335*w - 2. Let l be v(2). Let g be (-59)\/(-177)*(-1761258)\/(-40)*1. Let b = g + l. Calculate the common denominator of -65\/4 and b.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25 + 23 = 2*v. Suppose 4*c - 3*b - v = 0, 2*c - 4*c = -3*b - 18. Suppose n - 15 = c. What is the tens digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -13 != -35?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Are -7 and -15 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 155 minutes after 2:24 PM?\nAnswer: 4:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 46022?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -x - 2*x - x + 7*x. Let h(q) = -4*q. Suppose r = -2*a + 15, 4*r = 3*a + 5 - 0. Calculate r*o(c) + 4*h(c).\nAnswer: -c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 16 - 6. What is the highest common factor of 2 and b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1103 (base 4) in base 2?\nAnswer: -1010011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-19)\/42 - (-2)\/7. Let h = 15366 + -15337. Which is the second smallest value? (a) l (b) h (c) 4\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/4, 4, -0.05, 1, -17 in descending order.\nAnswer: 4, 1, -0.05, -1\/4, -17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/240? (a) 1137 (b) 0.3 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0 - 1. Let j = 0 + p. Let a be 3\/(2*(-1 - 0)). Which is smaller: j or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 3308768360 to the nearest one million.\nAnswer: 3309000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express -18*w + 155*w - 16*w as p*w + n and give p.\nAnswer: 121","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 144.2 + -124.2. Which is the second biggest value? (a) 0.3 (b) 2 (c) -0.2 (d) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -543*i - 7*i = 83*i + 12027 for i.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:25 PM and 4:26 PM?\nAnswer: 181","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 154 = -176889*v + 176867*v for v.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 1, d: 2, m: 2, e: 9}. What is prob of sequence dm?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 81 + -22. Suppose v + 59 = -u. Let c be (-10000)\/((2\/(-1))\/v). What is c rounded to the nearest 100000?\nAnswer: -600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 2.55 and 0.32.\nAnswer: 0.816","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 404 divide 574763?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-27)\/450)\/(46 - (-1767)\/(-38))?\nAnswer: 3\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is (54\/(-975))\/(630\/2730)?\nAnswer: -6\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -t**3 - 3*t**2 + 10*t + 12. What is the units digit of v(-5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand v**2 - 3*v**2 + 3*v**2 + (-119*v - 10611 + 10611)*(-5*v + 16*v - 14*v).\nAnswer: 358*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 0 - -26?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/4, -1\/10, -1.82, -0.4 in descending order.\nAnswer: -1\/10, -1\/4, -0.4, -1.82","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(-1 + sqrt(112)) + sqrt(112))**2 + -5.\nAnswer: -48*sqrt(7) + 1007","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = 8*u**2 - 9*u. Let p be 33\/(-8) + -11*(-6)\/528. Let x(a) = 0*a**2 - 2*a + 0*a**2 + 2*a**2. Give p*q(m) + 18*x(m).\nAnswer: 4*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 8, w: 1, k: 8, s: 1}. What is prob of picking 2 k?\nAnswer: 28\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 + 4 - 6)*(0*s + 3*s - 9*s)*(3*s - 1 + 1) + 4*s**2 - s**2 - 2*s**2 + (-5*s - 13*s + 0*s)*(-2*s + 2*s + 2*s) in the form b*s + y*s**2 + p and give y.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t - j - 4 = 0, -2*j = 2*t + 3*j - 1. Let g(w) = 10*w - 2. Let x(c) = -21*c + 5. Let q = 168 - 161. Let b(h) = q*g(h) + t*x(h). Determine b(1).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -2\/7 (b) 8 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*o = -39*o + 63. Suppose -4*q - 9 = 3*l - o, 21 = 3*l - 5*q. What is the closest to l in -0.4, -1, -3\/2?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 649600?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 1\/5 (b) 17\/23 (c) -18 (d) -24 (e) -83\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 260, 217, 102, -121, -488, -1035?\nAnswer: -1798","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -18587.88 - 0.1\nAnswer: -18587.98","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 4c (base 13) to base 12\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in twenty-one halves of a week?\nAnswer: 1764","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence npq when three letters picked without replacement from {q: 1, n: 2, p: 2}.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b*b**(-4\/13)\/b*b)\/(b\/(b\/b**(-37)*b)))\/((b*b**(-1\/51)\/b)\/b*b\/(b\/(b\/b**(-8\/7)))) assuming b is positive.\nAnswer: b**(174358\/4641)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -2*g**3 - 8*g**2 - 3*g + 22. Give p(-5).\nAnswer: 87","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 39209354?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 1402253*r**4*z + r**3*z + r*z + 550900*z wrt r?\nAnswer: 5609012*r**3*z + 3*r**2*z + z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -472 - -2815\/6. What is the common denominator of (-1)\/2 + 336\/(-322) and k?\nAnswer: 138","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -15*v**2 + 24*v + 21. Let s(c) = 45*c**2 - 71*c - 62. Let o(l) = -8*q(l) - 3*s(l). Factor o(k).\nAnswer: -3*(k - 2)*(5*k + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 54 = 3*i + 9. Let o(t) be the first derivative of t**2\/2 + 5*t - 2. Let x be o(10). What is the greatest common factor of x and i?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-272)\/(-119) - 4\/2?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -4 + 8. Calculate the smallest common multiple of b and 32.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 + -1 + -5 + 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20*m + 52 = -21*m + 69*f + 4*f, 2*m = 2*f + 54 - 14 for m.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:35 PM and 3:55 AM?\nAnswer: 260","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.3? (a) 1 (b) 3\/2 (c) -0.5 (d) -41 (e) -1\/6\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 709 divided by -215\nAnswer: -709\/215","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -580 + 384. Let l = -196.01 - y. What is the closest to l in 0.5, 0.4, 1?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 3.700821 tonnes?\nAnswer: 3700821000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -321444012 (base 6) to base 2.\nAnswer: -10101101011010101101000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -5*a. Let k(s) = 111*s. Give l(k(j)).\nAnswer: -555*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = m - 1. Let k(p) = p + 2. Let t be k(3). Let w = t + -5. Let j be q(w). Let f(i) = -7*i. Give f(j).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0 + 19. Let t(b) = -b**2 + 29*b - 101. Let d be t(24). Calculate the greatest common divisor of z and d.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2\/15, -140, 42?\nAnswer: 42","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -2*y - 1. Let r be 0 + (-1)\/1 + 5. Let b = -16 - -32. Suppose -4*v - b = -r. Give h(v).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-7)\/(28\/(-6)))\/(78\/(-52))*(-111)\/3?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Put together -2450 and -1.17.\nAnswer: -2451.17","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 169372639 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + -2*(0 + 2*sqrt(968)).\nAnswer: -88*sqrt(2) + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.072269905 from 2.\nAnswer: 2.072269905","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 8217 and 99?\nAnswer: 8217","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (2*sqrt(2299) + -4 + sqrt(2299) + 0 + sqrt(2299) + 4)**2 - (-3*(sqrt(2299) - -6*sqrt(2299)*2)**2 + 2).\nAnswer: 1202373","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-282)\/9*9\/(-6).\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 96286197*k**2 + k - 6262515?\nAnswer: 192572394","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15 is divided by 2\/(-7) + (-120)\/(-28).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q - 298 = -4*n, -433 + 129 = -4*n + 4*q. What are the prime factors of n?\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -434202 or -434118?\nAnswer: -434118","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v*v\/v**16)**(-17)*(v**(-34))**(2\/37) assuming v is positive.\nAnswer: v**(8738\/37)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:29 PM and 4:57 AM?\nAnswer: 688","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -1309, -1257, -1187, -1099, -993, -869, -727?\n\"Answer: 9*b**2 + 25*b - 1343","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 71\/756 and 169\/13608.\nAnswer: 13608","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q - 37 = -3*q. Let b = q + -14. Is b a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 224*c**2 - 476*c**2 + 239*c**2.\nAnswer: -13*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -1562 (base 9) to base 5\nAnswer: -14230","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 27841, 27845, 27849, 27853, 27857, 27861?\n\"Answer: 4*y + 27837","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -9*y**3 - y**2 - y - 6. What is the least common multiple of w(-2) and 20?\nAnswer: 320","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -81 and -0.2?\nAnswer: 16.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 532 + -67. What are the prime factors of g?\nAnswer: 3, 5, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mzz when three letters picked without replacement from mmzzzz.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 130375632?\nAnswer: 2, 3, 2716159","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2\/1 + (-3)\/((-15)\/(-10)). Let p be (0 - l)\/(-1 + -1). Suppose -4 = -w, p*w - 284 = -3*d + 4*w. What are the prime factors of d?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k - 4*u + 29 = 0, 0 = -3*k + 11*u - 14*u + 15. Let t = -8 + k. Solve -5*h = -z - 25, 0 = -2*h - 2*z - 3 + t for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 73 divide 13432?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 26544624*g - 53089061*g - 2*g**3 + 26544442*g.\nAnswer: -2*g**3 + 5*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 241a (base 13) to base 11.\nAnswer: 3910","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 927\/31, -14, 0.165 in decreasing order.\nAnswer: 927\/31, 0.165, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 44 (b) 0.5 (c) -4 (d) -1 (e) 4.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2726 + 1 - (-1414)\/101.\nAnswer: 2741","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 5437 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 29*b = 128 - 186 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1143)\/(-254)*14\/(-3)?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 61197 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 90.39 - 90. Let x = z + 0.01. Let b = 9\/2 - 5. What is the second biggest value in -2, b, x?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -160*i + 510*i - 161*i + 59 - 175*i.\nAnswer: 14*i + 59","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 2876 divided by 1\nAnswer: 2876","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1022*q**2*z**3 - 3*q**2*z - 2*z**2 - 52*z wrt z?\nAnswer: -6132*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.18 - 149753.\nAnswer: -149752.82","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2306 is divided by 21.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000233173566 to 5 decimal places.\nAnswer: 0.00023","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 24450 divided by -75.\nAnswer: -326","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.129140209 - -30.429156609. Let z = -30.3 + r. What is z rounded to five dps?\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p**5\/4 + 12*p**4 + 45*p**3\/2 - 648*p**2 + 9153*p\/4 - 2430 = 0. Calculate p.\nAnswer: -8, 3, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 434759 is divided by 40?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 245.67993929 - 245.68. Round z to 6 decimal places.\nAnswer: -0.000061","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2964386.\nAnswer: 2, 1482193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 130 + -236?\nAnswer: -106","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -4603*-0.3\nAnswer: 1380.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:26 AM and 9:20 PM?\nAnswer: 714","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 71 a factor of 794?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b + 10 = -b. Suppose b*o + 8 = 7*o. Suppose -4*z + 43 = -0*z + 3*l, -3*z - o = -5*l. Solve -q - 5 = 0, 2*q + z = g + q for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = 815*f + 822. Let a be k(-1). Let u be ((-8)\/10)\/((-4)\/10). Suppose 2*n - 2*r + u - 10 = 0, 0 = -4*n - 3*r + 30. Which is greater: a or n?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*n + 61 = 4750*i - 4753*i, -5*n + 65 = -5*i for n.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14 - (162 - 87 - 40).\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) be the second derivative of f**7\/840 + f**5\/120 - f**3\/3 - 4*f. Let b(y) be the second derivative of c(y). Find the second derivative of b(k) wrt k.\nAnswer: 6*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (21\/6)\/(-7)*0\/(-2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 68\/6 + (-2)\/6. Find the third derivative of -2*b + 29*b**2 - 208*b**5 - 6*b + q*b**2 + 9*b wrt b.\nAnswer: -12480*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7541 to the power of 1\/2, to the nearest integer?\nAnswer: 87","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2898 and 1252580?\nAnswer: 322","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29*s = -33*s - 340. Let j be -4 + (1 - s\/5). Suppose j*w - 9*w = 11500000. Round w to the nearest 1000000.\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 172\/732 - (-2)\/(-6). Suppose -20 = 4*z - 4*u, 6 + 19 = -3*z + 5*u. Which is smaller: z or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 f when three letters picked without replacement from fffzfzffffzzffffff?\nAnswer: 91\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -2*m**2 + 352*m + 1445. Let s be i(-4). Suppose 5 = -p + 11. Suppose p = -2*y, 5*y - 1400 = -s*n + 3950. Is n prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when ((-388)\/12)\/(-2*(-1)\/(-6)) is divided by 17?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 633013 to the power of 1\/2, to the nearest integer?\nAnswer: 796","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (13106\/3)\/(17 + -21). Let x = 1081 + p. Find the common denominator of x and -73\/9.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 15442\/1190 - (-18)\/765\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(57)\/(sqrt(3)*-2))**2 + (4*sqrt(171))**2 + 6*(sqrt(1900) + 1)**2.\nAnswer: 120*sqrt(19) + 56587\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -123266 = -3128*g + 3102*g. What is the tens digit of g?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -108790, -217570, -326348, -435124, -543898, -652670, -761440?\n\"Answer: j**2 - 108783*j - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -11*g**4 - 9204527*g**3 + 5*g**2 - 2236276*g + 1 wrt g?\nAnswer: -264*g - 55227162","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23*b - 33*b - 21 = 32*b - 93*b - 4*g, 0 = -4*b - 5*g + 24 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = o + 3. Let f be i(0). Solve -z - 15 = f*r, -4*r = 9 + 11 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d*d\/(d*d\/((d**(-6)\/d)\/d))*d)\/(d\/d**15))**3 assuming d is positive.\nAnswer: d**21","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) be the first derivative of 5*w**5\/78 - 5*w**4\/39 + 4*w**3\/39 - 9*w**2 - 14. Let r(l) be the second derivative of y(l). Factor r(q).\nAnswer: 2*(5*q - 2)**2\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**(-1\/3)\/c**6)\/(c\/((c\/(c**(-1\/4)\/c))\/c)*c)**(16\/9))\/((c*c**(-5)*c)\/(c*c*c**5)*(c*c*c**(-2\/15))\/(c**8*c*c*c*c)) assuming c is positive.\nAnswer: c**(187\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = 23*d + 96. Let k(s) = -3*s - 12. Let n(m) = i(m) + 8*k(m). Let g(v) = -3*v**2 + 5*v + 13. What is -g(j) - 5*n(j)?\nAnswer: 3*j**2 - 13","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1600 and 60480.\nAnswer: 302400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -12 - 1010113231?\nAnswer: -1010113303","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 61405 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) be the second derivative of b + 5 + 0*b**2 + 11\/6*b**3. Let q(x) = -30*x**2. What is o(q(l))?\nAnswer: -330*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 58 a factor of 1706?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*q - 11 = -4*g + 9*q, -5*g + q = -28. Solve -50 + 50 = g*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 5 - 2. Suppose l*k = 2*k. Put -1, 4, k in decreasing order.\nAnswer: 4, k, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-125)\/3)\/((-1)\/3). Let a be (-2)\/3 + 532\/6. Let l = d - a. Is l a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2888 < 2889?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -26 + 28 + (-18 - -2 - (-11 - -7)) - 41?\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -189 + 212. Suppose 4*o - 200 = -4*t, 3*o = t + 95 + 35. What is the remainder when o is divided by s?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.048 - -16.348. Let m = 16.7 - s. Let a = 0.5 + -0.4. Which is smaller: a or m?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 2\/3 (b) -317 (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 223*i**3 - 61*i**3 + 211*i**3.\nAnswer: 373*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = 2*l**3 - 6*l**2 - l + 15. Let t be d(5). Suppose -5*k = -4*y + t, -2*k - 72 = 4*y - 0*y. Let i = k + 175. Is i a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -23*a - 2*a**2 - 29*a - 6*a + 58*a.\nAnswer: -2*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 616345?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = 15*w**4 - 7*w**3 + 6*w**2 + 7*w. Let s(h) = -8*h**4 + 3*h**3 - 3*h**2 - 3*h. Let j(c) = -3*k(c) - 7*s(c). What is the third derivative of j(t) wrt t?\nAnswer: 264*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 + 27 + 70*(-18)\/(-252).\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -2341*d + 14815. What is n(6)?\nAnswer: 769","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 503 minutes before 12:32 AM?\nAnswer: 4:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x - 30 = -8*x - 4*f, -5*x + 15 = f. Let g = 48 + -47. Let o = g + 0. Solve -3*s = 4*z - o, -4*z - s - x = 3 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 8*g**3 + g**3 + 5*g**3 - 4*g**2 + 4*g**2 - 2*g**3 + (3*g**2 - 5*g**2 + 0*g**2)*(-2*g + 2*g - 2*g).\nAnswer: 16*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 219490913?\nAnswer: 10133, 21661","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -50*a + 2 - 64 - 2*a**2 - 13 + 0 + 4*a to the form f + x*a + t*a**2 and give t.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 110059684.\nAnswer: 2, 7, 561529","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -188*j + 755. Let t be l(4). Suppose y + 20 = 2*y + 5*w, 2*y = -4*w + 16. Let i(b) = 0 + y - b**2 + 5*b. Calculate i(t).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -2 - 0\/(2 - 0). Let d = -564 + 561. Which is greater: d or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3122.9994637 + -3123. What is f rounded to four dps?\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**(-2\/11))**(-2\/21))**14*((o\/(o\/(o\/o**(2\/3))))\/o)**45*o**(1\/7)\/(o\/((((o*o*o**(-2\/31)\/o)\/o*o)\/o)\/o)) assuming o is positive.\nAnswer: o**(-226855\/7161)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 10\/(-15) - (-28)\/6. Let q(d) = d**3 - 2*d**2 + 2*d - 8. Let v be q(g). Suppose 31 = 3*s + 2*s + 2*h, 4*s = -4*h + v. Solve -s*l = -2*l + 12 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 160 and 608.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand -123*f + 255*f - 115*f - 4*f**2 + (f - 4*f + f)*(f + 3 - 3).\nAnswer: -6*f**2 + 17*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = a - 11. Let b be j(12). Let d be b + 2*(-4)\/(-8) - -33. Let l = -13 + d. Calculate the smallest common multiple of 20 and l.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nn when two letters picked without replacement from {c: 2, x: 3, n: 3}.\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1159681727 - 0.01.\nAnswer: -1159681727.01","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 11981?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) be the first derivative of 2*x**3\/3 + 5*x**2\/2 - 4*x + 4. Suppose -2*d = -3*d - 8. Let k be z(d). What is the greatest common factor of 12 and k?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -13144041143 + -11?\nAnswer: -13144041154","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -15 + 4 + 16 - (1 - -1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3045 by -609.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -75*r - 20 = -71*r. Put 1, r, 10, 3 in ascending order.\nAnswer: r, 1, 3, 10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 4.336 - -2.231. What is x rounded to one decimal place?\nAnswer: 6.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*a - b, -4*a = 156829*b - 156833*b + 20 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -836, -3173, -7054, -12479, -19448, -27961?\n\"Answer: -772*b**2 - 21*b - 43","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1\/10 or -0.7731?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12 = -40*y + 20*y + 23*y - 2*n, -5*y - 7 = -0*n - 3*n + 13 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 + -3 + 4 - (-1 + 1)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*c**4 - 50*c**3 - 40*c**2 + 50*c + 45 = 0. What is c?\nAnswer: -9, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yo when two letters picked without replacement from {h: 3, o: 1, y: 1}.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is (318\/(-3))\/((-10)\/25) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 485\/194 + (-49)\/14?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.619604 rounded to four decimal places?\nAnswer: 0.6196","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 225990\/775 - 188 - 1\/(10\/36)?\nAnswer: 100","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d + 5*u = 760, 4*d + u + 464 = d. Let z = -94 - d. List the prime factors of z.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2520273.\nAnswer: 3, 7, 43, 2791","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*p - 338 + 338. Solve -i = d + 1, p = d - 0 + 4 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4\/(-30) - (23 + 85492\/(-165)) is divided by 98?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -f**2 + 9*f - 20. Suppose 0 = -61*g + 55*g + 30. Let l be p(g). Solve l = -4*t + 7 - 19 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 38.146 to one decimal place.\nAnswer: 38.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find c such that -51*c - 165\/4*c**3 + 9\/4*c**5 - 30 - 3\/2*c**4 + 207\/2*c**2 = 0.\nAnswer: -5, -1\/3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -173.096 to the nearest integer.\nAnswer: -173","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 746730.\nAnswer: 2, 3, 5, 8297","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cii when three letters picked without replacement from {y: 1, c: 3, i: 16}?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12 = 713*n - 711*n - 3*p, -3*p = 5*n - 9 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r - 35 = -4*z, r = 3*z - 2*r - 15. Suppose 3*b + 2 = m, m - 2 = -4*b - 0. Suppose 2*t - 3 - 1 = b. Solve c - 2*c + 10 = x, 4*c - z = t*x for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f = t - f - 5, t - 3 = -3*f. Let u(g) = -g + 9. Let c be u(6). What is the lowest common multiple of 20 - 1 - (c + 0) and t?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 9 + -4. Suppose -o*i = -10*i. Which is the smallest value? (a) 0.06 (b) i (c) 1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1932787 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1759 is divided by 136.\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -5846 - -3888. Is 1\/(u\/653 + 3) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -13.94 + -0.06. Let w = 15730.6 - 15731. Which is the nearest to 1\/6? (a) w (b) 1 (c) -0.1 (d) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*i - 6*o + 24 = -10*o, -4*i + 4*o = -28 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + u + 3)*(u - 2*u - 4*u) - 2*u**2 + 2 - 2 + 4*u**2 - 2*u**2 + 0*u**2.\nAnswer: -5*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -33.3 + 30. Let b = 6.4 - 5. Let h = b + l. Round h to the nearest integer.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 964 + -544. Let n = 419.9 - d. Which is greater: 1.12 or n?\nAnswer: 1.12","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 910.4359 centuries in millennia?\nAnswer: 91.04359","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -117 (b) 4\/7 (c) 2\/17 (d) 422 (e) 5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 - 1 = 51*t. Factor 3\/5*b**2 - 1\/5*b - 3\/5*b**3 + t + 1\/5*b**4.\nAnswer: b*(b - 1)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 376 + 524 = 6*l. Is 23 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((q*q**(1\/22)\/q)\/q)**(-1\/5)*(q*q**(-1\/16)*q)**44)**(8\/5) assuming q is positive.\nAnswer: q**(37594\/275)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -22244*i*w**2 - 22*i + 6*w**2 + 234*w - 9 wrt i?\nAnswer: -22244*w**2 - 22","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*j + 17*j + 247 = 0. Suppose 9 - j = -14*v. What are the prime factors of v?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 26\/3 and 44\/243.\nAnswer: 243","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 199 a factor of 10672328?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 35 - 26. Let r(f) = f**2 + 0 + 0*f**2 - 4 + i + 5*f. Let o(b) = b**2 - 8*b + 2. Let p be o(7). Determine r(p).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 844057990?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (r - 2*r + 2*r)*(2*r**4 - 2*r**4 + 2*r**4 + (-3*r**2 + r**2 - r**2)*(-7*r**2 + 3*r**2 + 2*r**2)) + 5*r**5 + 3*r**5 - 4*r**5.\nAnswer: 12*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -13\/59892 and -37\/231.\nAnswer: 658812","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x = 12 + 24. Let r be ((-2)\/x)\/(2\/8). Let i be -3 + 8 + (-215)\/40. Which is the nearest to r? (a) i (b) -1\/3 (c) 1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -1\/49 and 79\/2856.\nAnswer: 19992","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = 1993*p - 18142. What is y(9)?\nAnswer: -205","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -677364, -677213, -676962, -676611, -676160, -675609, -674958?\n\"Answer: 50*z**2 + z - 677415","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*i - 14*x + 19*x = -25, x = i - 5 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -16 - -16. What is the nearest to 1 in 4, 2\/19, c?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 57 and 8227.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-14)\/((-112)\/360) - 5. Suppose 0 = 55*d - x*d - 30. Solve d*u = -2 + 4 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-15)*r*r**(6\/29))\/((r**(-22)\/r)\/(r*r**(6\/25))) assuming r is positive.\nAnswer: r**(7574\/725)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 244547, 3 in ascending order.\nAnswer: 3, 4, 244547","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k and 1 s when two letters picked without replacement from sjssjsssjkjsjjsjj.\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find y such that 3*y**3 + 2040*y**2 + 2037*y = 0.\nAnswer: -679, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = 4*u + 3. Let r(q) = -q**2 + 6*q - 5. Let k be r(6). Let m = k + 4. Is u > m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -933, -1867, -2799, -3729, -4657?\nAnswer: -5583","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -i**2 - 16*i - 38. Suppose -2*a + 18 = -4*a. Let f be k(a). Suppose -f = 2*n - 27. Solve -15 = 4*m + n for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -n + 2. Let y(w) = 203769*w. Determine y(t(q)).\nAnswer: -203769*q + 407538","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -394492795*h - 176397725 wrt h?\nAnswer: -394492795","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0.1 or 86?\nAnswer: 86","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put -3\/8, 2\/9, -3, 2\/3 in descending order.\nAnswer: 2\/3, 2\/9, -3\/8, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*u + 8*u. Let f be ((-1)\/(-6))\/(1\/30). Sort 3, f, -4, u.\nAnswer: -4, u, 3, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*f**3 + 8 - 8 - 5*f**3.\nAnswer: -2*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n, 1 k, and 1 v when three letters picked without replacement from nnzvklknknnktlnkt?\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.01123 rounded to 2 decimal places?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 g when four letters picked without replacement from gxxxgxxggxgxxx?\nAnswer: 5\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1 - -1. Suppose 0*h - 4*h + 13 = 3*t, -h + 3*t - 8 = x. Let o = h - -3. Let p(a) = -a**3 + 3*a**2 + 3*a. What is p(o)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = -4*a - 3. Sort -2, 0, a.\nAnswer: -2, 0, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 810\/207 + 6\/69. Let m(c) = -c**3 - 7*c**2 - 6*c + 2. Let x be m(-6). Calculate the greatest common divisor of d and x.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 13*v + 27*v**2 + 37*v**2 - 36*v**2 - 2 in the form l + w*v**2 + u*v and give l.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -83*h - 85*h - 1020 = 109*h - 192*h for h.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1.35 + -0.35. Let y = 1.06 - x. Let v = 4.94 + y. Sort 1, v, -1 in descending order.\nAnswer: v, 1, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in nine tenths of a kilogram?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pp when two letters picked without replacement from {h: 1, d: 2, r: 1, p: 2}.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((i**2*i**(-9))\/(i**(-2\/3)\/i)**(-31))**(8\/9))**(-3\/14) assuming i is positive.\nAnswer: i**(704\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -957*c**3*u**2*y**2 - 5*c**3*y**2 - 4*c*u*y wrt u?\nAnswer: -1914*c**3*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 64 (b) -0.1 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -3 - 7 - -14 - -114596. Round g to the nearest ten thousand.\nAnswer: 110000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 243 - 1213\/5. Let b be -2*1\/(-2) + 2. Suppose -2\/5*g + 2\/5*g**2 - 2\/5*g**4 + u*g**b + 0 = 0. What is g?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 404207?\nAnswer: 619, 653","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 84317.25 decades to months.\nAnswer: 10118070","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1434?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w - 2*i - 16 = 9, -3*w - 5*i - 10 = 0. Suppose 2*x - x + 54 = w*k, 2*k - 4*x = 18. Solve -3*b = -k - 4 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = 12*z. Let l(b) = -b. Let h(c) = 16*l(c) + p(c). Suppose -3*i = -3, -i + 3 + 6 = 2*f. Let o(v) = -4*v**2 + f*v**2 - v**2. Calculate h(o(q)).\nAnswer: 4*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 45235 a multiple of 237?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 47, 193, 439, 785?\n\"Answer: 50*j**2 - 4*j + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 29677*n**3 + n**2 + 4491*n wrt n?\nAnswer: 178062","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -3*q - 6. Let v = -18 + 29. Suppose -4*y = -4, -1 - v = o + 2*y. Let f be (-4)\/o + 30\/(-7). Calculate p(f).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1121220021111012 + -11?\nAnswer: -1121220021111100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o = -5*z + 520, -416 = -4*z - 228*o + 230*o. Solve 0 = -942*k + 955*k + z for k.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -2544.11 from -0.5.\nAnswer: 2543.61","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4442194?\nAnswer: 2, 2221097","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = 51*a**3 - 3*a**2 - 9*a - 6. Give n(-2).\nAnswer: -408","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*j - i + 30, 4*j - 1857 = 2*i - 1887 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9 + 3 + -8 - (-1 + 5)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (207\/42 - 5)*2?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 272531211 to the nearest integer?\nAnswer: 648","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 1, f: 5, l: 5}. Give prob of sequence kf.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + 14\/(-3) + (66\/(-3))\/66?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 0 + ((-22)\/121 - 0) + (3 - (-5208)\/88)\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -34.58 + 36.5635. Let n = 0.0165 + i. Is n at least as big as 8?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -24 + (-58 - -29) - 11 - 7?\nAnswer: -71","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -6*t**3 + 8*t**3 - 261 + 4*t**2 - t**2 + 2*t + 262. Determine n(-2).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 5, h: 5, w: 1}. Give prob of sequence sws.\nAnswer: 2\/99","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3\/(63\/(-7)))\/((-1)\/(-15)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out -222.9 * -0.0046.\nAnswer: 1.02534","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 81290?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 587 minutes before 9:55 PM?\nAnswer: 12:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-j**3 - 1 + 1)*(-j - 9*j - 7*j) + 4*j**4 + j**4 - 4*j**4.\nAnswer: 18*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = 6*m**2. Let g(s) = 21 + 3*s - 21 - 2*s. Determine g(c(w)).\nAnswer: 6*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*y + 4*y - 3*y)*(-2053 - 2655 - 2286 + 199) - 2*y + 2 - 2.\nAnswer: -6797*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 283 + -1978\/7. Suppose 0 = 51115*x - 51127*x - 36. Sort 1\/7, 4, a, x.\nAnswer: x, 1\/7, a, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -9853 + 15802. Does 9 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-50)\/(-150))\/(0 - (-2 - -1)). Let h = -29\/2 - -43\/3. What is the second smallest value in -1\/2, h, i?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**1\/l)\/l)**21\/(l\/((l\/(l\/l**(2\/5))*l)\/l)*(l\/(l\/((l\/(((l*l**(-6))\/l)\/l*l)*l)\/l)*l))\/l) assuming l is positive.\nAnswer: l**(-133\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*i**2 - 3*i**2 + 3*i**2)*(i - i + i) + (-4 + 4 + i)*(12*i**2 + 17*i**2 + 32*i**2).\nAnswer: 57*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (2 + (-678)\/384)\/((-7)\/(-70)) and 21\/272?\nAnswer: 544","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 65 divide 692113922?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1\/(-3*3)*(-133)\/19*147. Let z = -282 + 397. Let y = q - z. Which is the third biggest value? (a) 2 (b) 0.31 (c) -2\/13 (d) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2635, 10601, 23877, 42463, 66359?\nAnswer: 95565","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -735, -2929, -6587, -11709, -18295, -26345?\n\"Answer: -732*v**2 + 2*v - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2524?\nAnswer: 2, 631","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 68 is divided by 43.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(136)*-2 - sqrt(136))*-6)\/sqrt(8).\nAnswer: 18*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-10)\/(-6))\/((-4)\/(-6))*2. Suppose 3*c + 16 = p*c. Let i(u) = -2 - 7*u + c + u**3 - 4 + 4*u**2. What is i(-5)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1488734 is divided by 10?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((1\/3)\/(-1)*6)\/1.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 71843 - 15?\nAnswer: 71828","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 60925 is divided by 15223?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11 (base 2) to base 5.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -25\/43 greater than or equal to -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 493 minutes before 10:29 AM?\nAnswer: 2:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*k = -5*g + 20*k + 25, -g - 3*k = 13 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:22 AM and 11:29 AM?\nAnswer: 607","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 1270.964ug?\nAnswer: 1.270964","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(1 + -3 + -2*sqrt(17)))**2*-4.\nAnswer: -4608 - 512*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 0\/2*1\/(-2). Let d = 17\/21 + -8\/7. Is f greater than or equal to d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -63 + 75. Suppose 5*q + 6 = -3*p + 189, -4*q - p + 145 = 0. Calculate the highest common divisor of q and r.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dyyadwddyay. Give prob of picking 1 d and 1 w.\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 112, -8, -34, -2, 3\/4, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*k**3 + 2996851*k**2 - 2996851*k**2.\nAnswer: -2*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 5, 2 in descending order.\nAnswer: 5, 2, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 303, 2, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:37 AM and 12:14 PM?\nAnswer: 277","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -5*z + 2. Let r be b(-1). Suppose 8 + r = 3*p. Suppose p*v + 5*y = -86499995, 3*v + 8950344 + 42949658 = 2*y. Round v to the nearest 1000000.\nAnswer: -17000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 48, 70, 90, 108, 124?\n\"Answer: -v**2 + 25*v + 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = 52*p**3 - 67*p**2 - 4*p - 34. Let f(w) = 27*w**3 - 33*w**2 - 2*w - 14. Determine -5*f(m) + 2*z(m).\nAnswer: -31*m**3 + 31*m**2 + 2*m + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -155 + 619\/4. Let h = -1.4 - -1.9. Which is the closest to 3? (a) -4 (b) h (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.1, 2\/5, -27, -518, 2 in descending order.\nAnswer: 2, 2\/5, -0.1, -27, -518","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 261 (base 9) in base 8?\nAnswer: 331","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-197 - -86) + 102 - (-2 + 2 - 1)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Total of 185995763 and 0.4.\nAnswer: 185995763.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -6*j + 20*j + 2*j - 7. Suppose -b + 6 = 7, 4*w - 7 = -b. What is the tens digit of h(w)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 222368959 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 151\/1038726 and 117\/10.\nAnswer: 5193630","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:52 AM and 6:02 AM?\nAnswer: 10","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3 + 1 + 2*n**2 + 0 - 5*n + (-3*n + 5*n - n)*(2 - 2 - 5*n) + 3*n**2 + 2*n**2 - 3*n**2 to u*n + b*n**2 + r and give u.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -67*u + 5367. What is y(80)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -t**2 - 2*t - 12. Let o be k(9). Let z = -58 - o. What is the tens digit of z?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = 7*u - 1. Let m be o(5). Let h be 15\/25 - m\/(-10). Factor 3*w**3 + 24 - 18*w**2 - 9*w - 3*w**4 - 7*w + 6*w**h + 4*w.\nAnswer: 3*(w - 2)*(w - 1)*(w + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**14*u)\/(u*u*u\/((u\/(u*u**(1\/9)\/u*u*u))\/u))*(u**(-5\/3))**(4\/15) assuming u is positive.\nAnswer: u**(85\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -11 + 7 + (14 - -1) + 1 + 2\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/(-3)*2565\/6840?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -20303 (base 6) in base 12?\nAnswer: -1693","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 238 - -402. Calculate the highest common divisor of b and 60.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -2642.48 to the nearest one hundred.\nAnswer: -2600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o*o**(2\/15)*o**(-1\/3)\/o)**8 assuming o is positive.\nAnswer: o**(-8\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}